CopyrightThis document is Copyright © 2012–2019 by the LibreOffice Documentation Team. Contributors
are listed below. You may distribute it and/or modify it under the terms of either the GNU General
Public License (http://www.gnu.org/licenses/gpl.html), version 3 or later, or the Creative Commons
Attribution License (http://creativecommons.org/licenses/by/4.0/), version 4.0 or later.
All trademarks within this guide belong to their legitimate owners.

Contributors
This book is adapted and updated from Math Guide OpenOffice.org 3.3.

To This Edition
Roman Kuznetsov

Dave Barton

Olivier Hallot

Hazel Russman
Daniel Carrera
Peter Kupfer
Michele Zarri

Laurent Balland-Poirier
Agnes Belzunce
Ian Laurenson

To Previous EditionsPeter Schofield
Jean Hollis Weber
T. J. Frazier
Janet M. Swisher

Additional material has been added from the German Math Handbuch for LibreOffice 3.4(translated to English by Hazel Russman). Contributors to that book are:Regina HenschelGisbert Friege (Dmaths)

Christian Kühl
Jochen Schiffers

Florian Reisinger

Additional material has been added from the French How-To Math for LibreOffice (translated toEnglish by Laurent Balland-Poirier). Contributors to that book are:Bernard Siaud

Frédéric Parrenin

Feedback
Please direct any comments or suggestions about this document to the Documentation Team’s
mailing list: documentation@global.libreoffice.org

Note:
Everything you send to a mailing list, including your email address and any otherpersonal information that is written in the message, is publicly archived and cannot bedeleted.

Publication date and software version
Published January 2020. Based on LibreOffice 6.2.

Documentation for LibreOffice is available at http://www.libreoffice.org/get-help/documentation

Contents
Copyright..............................................................................................................................2
Contributors................................................................................................................................. 2
To This Edition........................................................................................................................ 2
To Previous Editions................................................................................................................2
Feedback..................................................................................................................................... 2
Publication date and software version.........................................................................................2

Who is this book for?..........................................................................................................7
Where to get more help.......................................................................................................7
Help system................................................................................................................................. 7
Free online support...................................................................................................................... 7
Paid support and training.............................................................................................................8

What you see may be different...........................................................................................8
Illustrations.................................................................................................................................. 8
Icons............................................................................................................................................ 8

Using LibreOffice on a macOS...........................................................................................9Introduction........................................................................................................................11
Getting started....................................................................................................................11
Formulas as separate documents or files...................................................................................11
Formulas in LibreOffice documents...........................................................................................12

Creating formulas..............................................................................................................13
Elements Dock........................................................................................................................... 13
Context menu............................................................................................................................ 14
Markup language....................................................................................................................... 15
Greek characters....................................................................................................................... 15
Using markup language........................................................................................................ 15
Symbols dialog...................................................................................................................... 16
Formula examples..................................................................................................................... 16
Example 1............................................................................................................................. 16
Example 2............................................................................................................................. 17

Editing formulas.................................................................................................................17
Formula layout...................................................................................................................18
Using braces.............................................................................................................................. 18
Brackets (parentheses) and matrices........................................................................................19
Unpaired brackets...................................................................................................................... 20
Non scalable brackets........................................................................................................... 20
Scalable brackets.................................................................................................................. 20
Recognizing functions................................................................................................................ 20
Formulas over multiple lines......................................................................................................21
Adding limits to sum/integral commands....................................................................................21
Writing derivatives...................................................................................................................... 22
Markup language characters as normal characters...................................................................22
Text in formulas.......................................................................................................................... 22
Math Guide Version 6.2 | 3

Aligning formulas using equals sign...........................................................................................23

Changing formula appearance.........................................................................................24
Formula font size....................................................................................................................... 24
Current formula font size.......................................................................................................24
Default formula font size....................................................................................................... 24
Font size options................................................................................................................... 25
Formula fonts............................................................................................................................. 25
Current formula fonts............................................................................................................ 25
Default formula fonts............................................................................................................. 26
Formula font options............................................................................................................. 26
Adjusting formula spacing.......................................................................................................... 27
Current formula spacing........................................................................................................27
Default formula spacing........................................................................................................ 28
Spacing options.................................................................................................................... 28
Adjusting formula alignment.......................................................................................................29
Current formula alignment.....................................................................................................29
Default formula alignment.....................................................................................................30
Changing formula color.............................................................................................................. 30
Character color..................................................................................................................... 30
Background color.................................................................................................................. 30

Formula library...................................................................................................................31
Using Math................................................................................................................................ 31
Using Writer, Calc, Draw, or Impress.........................................................................................31
Using your formula library.......................................................................................................... 31

Introduction........................................................................................................................34
Automatic formula numbering..........................................................................................34
Numbering................................................................................................................................. 34
Cross referencing...................................................................................................................... 35

Anchoring formulas...........................................................................................................35
Vertical alignment..............................................................................................................36
Object spacing...................................................................................................................36
Text mode............................................................................................................................37
Background and borders..................................................................................................37
Backgrounds.............................................................................................................................. 38
Borders...................................................................................................................................... 38

Quick insertion of formulas..............................................................................................39
Introduction........................................................................................................................41
Anchoring formulas...........................................................................................................41
Calc........................................................................................................................................... 41
Draw and Impress...................................................................................................................... 41

Formula object properties.................................................................................................41
Formulas in charts.............................................................................................................42
Introduction........................................................................................................................44
4| Math Guide Version 6.2

Chemical formulas.............................................................................................................44
Floating dialogs..................................................................................................................44
Adding keyboard shortcuts..............................................................................................45
Example keyboard shortcut.......................................................................................................45
Keyboard customize options......................................................................................................46

Catalog customization.......................................................................................................47
Adding symbols......................................................................................................................... 47
Editing symbols.......................................................................................................................... 49
Modifying symbol names.......................................................................................................49
Moving symbols.................................................................................................................... 49
Deleting symbols................................................................................................................... 49
Options for editing symbols........................................................................................................50

Formula spacing................................................................................................................50
Extensions..........................................................................................................................50
Math ML format..................................................................................................................53
Microsoft file formats.........................................................................................................53[L]: Load and convert the object.................................................................................................53[S]: Convert and save the object................................................................................................53

Introduction........................................................................................................................55
Unary/binary operator commands...................................................................................55
Relation commands...........................................................................................................56
Set operation commands..................................................................................................58
Functions............................................................................................................................59
Operators............................................................................................................................61
Attributes............................................................................................................................65
Brackets..............................................................................................................................67
Formats...............................................................................................................................71
Others..................................................................................................................................73
Greek characters................................................................................................................74
Special characters.............................................................................................................76
Reserved words.................................................................................................................76

Math Guide Version 6.2 | 5

Math Guide

PrefaceWho is this book for?
LibreOffice Math is a formula (equation) editor that is an integral part of LibreOffice. Anyone whowants to learn how to insert formulas and equations using Math will find this guide valuable.
If you have never used LibreOffice Math before, or you want an introduction to all of the LibreOfficecomponents, you might like to read the LibreOffice Getting Started Guide first.

Where to get more help
This guide, other LibreOffice user guides, the built-in Help system, and user support systems
assume that you are familiar with your computer and basic functions such as starting a program,
opening and saving files.

Help system
LibreOffice comes with an extensive Help system. This is your first line of support for using
LibreOffice.
To display the full Help system, press F1 or go to Help > LibreOffice Help on the main menu bar.
In addition, you can choose whether to activate Tips, Extended tips, and the Help Agent by goingto Tools > Options > LibreOffice > General on the main menu bar.
If Tips are enabled, hover the mouse pointer over any of the icons and a small balloon (tooltip) will
pop up giving a brief explanation of the function for that icon. For a more detailed explanation,
select Help > What's This? on the main menu bar and hover the pointer over the icon.

Free online support
The LibreOffice community not only develops software, but provides free, volunteer-based support.
See Table 1 and this web page: http://www.libreoffice.org/get-help/
Table 1: Free support for LibreOffice users
Ask LibreOffice

Questions and answers from the LibreOffice community
http://ask.libreoffice.org/en/questions/

Documentation

User guides, how-tos, and other documentation.
http://www.libreoffice.org/get-help/documentation/
https://wiki.documentfoundation.org/Documentation/Publications

Mailing lists

Free community support is provided by a network of experienced users
http://www.libreoffice.org/get-help/mailing-lists/

FAQs

Answers to frequently asked questions
http://wiki.documentfoundation.org/Faq

International support

The LibreOffice website in your language.
http://global.libreoffice.org/international-sites/
International mailing lists
http://wiki.documentfoundation.org/Local_Mailing_Lists

Accessibility options

Information about available accessibility options.
http://www.libreoffice.org/get-help/accessibility/

You can get comprehensive online support from the community through mailing lists and the Ask
LibreOffice website, http://ask.libreoffice.org/en/questions/. Other websites run by users also offer
free tips and tutorials. This forum provides community support for LibreOffice:http://en.libreofficeforum.org/. This site provides support for LibreOffice, among other programs:
http://forum.openoffice.org/en/forum/
Math Guide Version 6.2 | 7

Paid support and training
Alternatively, you can pay for support services. Service contracts can be purchased from a vendor
or consulting firm specializing in LibreOffice.

What you see may be different
LibreOffice runs on Windows, Linux, and Mac OS X operating systems, each of which has several
versions and can be customized by users (fonts, colors, themes, window managers).

Illustrations
The illustrations in this guide were taken from the Windows 10 operating system. Therefore, someillustrations will not look exactly like what you see on your computer display.
Also, some of the dialogs may be different because of the settings selected in LibreOffice. You caneither use dialogs from your computer system or dialogs provided by LibreOffice. To change tousing LibreOffice dialogs if settings have been altered:1)

Access the general options for LibreOffice as follows:•

On Linux and Windows operating systems, go to Tools > Options > LibreOffice >General on the main menu bar to open the dialog for general options.

•

On a Mac operating system, go to LibreOffice > Preferences > General on the main
menu bar to open the dialog for general options.

2)

Select Use LibreOffice dialogs in Open/Save dialogs to display and use the LibreOfficedialogs for opening and saving files.

3)

For Linux operating systems only, select Use LibreOffice dialogs in Print Dialogs to display
and use the LibreOffice dialogs for printing your documents.

4)

Click OK to save your settings and close the dialog.

Note
If you are using a Linux operating system as a virtual machine on a computer runninga Windows or Mac operating system, then the LibreOffice option of using Print
Dialogs is not available.

Icons
The icons used to illustrate some of the many tools available in LibreOffice may differ from theones used in this guide. The icons in this guide have been taken from a LibreOffice installation thathas been set to display the default set of icons. If you wish, you can change your LibreOffice icons
as follows:1)

Access the view options for LibreOffice as follows:•

On Linux and Windows operating systems, go to Tools > Options > LibreOffice >View on the main menu bar to open the dialog for view options.

•

On a Mac operating system, go to LibreOffice > Preferences > View on the main
menu bar to open the dialog for view options.

2)

In User interface, select from the options available in the Icon Style drop-down list.

3)

Click OK to save your settings and close the dialog.

8| Math Guide Version 6.2

Using LibreOffice on a macOS
Some keystrokes and menu items are different on a Mac from those used in Windows and Linux.
The table below gives some common substitutions for the instructions in this chapter. For a moredetailed list, see the application Help.
Windows or LinuxmacOS equivalent

EffectTools > Options menu

LibreOffice > Preferences

Access setup options

Right-click

Control +click or right-click
depending on computer setup

Open a context menu

Ctrl (Control)⌘ (Command)

Used with other keys

F5

Shift + ⌘ + F5

Open the Navigator

F11

⌘ +T

Open the sidebar Styles andFormatting deck

Math Guide Version 6.2 | 9

Math Guide

Chapter 1
Creating & Editing Formulas

Introduction
Math is a formula editor module included with LibreOffice that allows you to create or edit formulas(equations) in a symbolic form, within LibreOffice documents or as stand-alone objects; example
formulas are shown below. However, if you want to evaluate numeric values using formulas, thenrefer to the Calc Guide for more information as Math does not carry out any actual calculation.

df (x)=ln ( x)+tan −1 (x 2) or NH3 +H2 O ⇌NH+4 +OH −dx
The Formula Editor in Math uses a markup language to represent formulas. This markup language
is designed to be easily read wherever possible, for example, a over b produces the fractionawhen used in a formula.
b

Getting started
Using the Formula Editor, you can create a formula as a separate document or file for a formula
library, or insert formulas directly into a document using LibreOffice Writer, Calc, Impress, or Draw.

Formulas as separate documents or files
To create a formula as a separate document or file, use one of the following methods to open an
empty formula document in LibreOffice Math (Figure 1).
•

On the main menu bar, go to File > New > Formula.

•

On the Standard toolbar, click the triangle to the right of the New icon
Formula from the context menu.

and selectFigure 1: An empty formula document in Math
Formulas as separate documents or files | 11•From the Start Center, click Math Formula.

•

From within LibreOffice Math, use the keyboard shortcut Ctrl+N.

As you enter the markup language in the Formula Editor, the formula will appear in the Preview
window during and after input of the markup language. The Elements Dock to the left of thePreview window may also appear, if these have been selected in View on the main menu bar. For
more information on creating formulas, see “Creating formulas” on Page 13.

Formulas in LibreOffice documents
To insert a formula into a LibreOffice document, open the document in Writer, Calc, Draw, orImpress. The LibreOffice module you are using affects how you position the cursor to insert theformula.
•In Writer, click in the paragraph where you want to insert the formula.

•

In Calc, click in the spreadsheet cell where you want to insert the formula.

•

In Draw and Impress, the formula is inserted into the center of the drawing or slide.

Then, go to Insert > Object > Formula on the main menu bar to open the Formula Editor.
Alternatively, go to Insert > Object > OLE Object on the main menu bar to open the Insert OLE
Object dialog, select Create new option and Formula from the sub-menu, then click OK to open
the Formula Editor. The Elements Dock to the left of the Preview window and/or the Elements
dialog as a floating dialog may also appear, if these have been selected in View on the main menubar. For more information on creating formulas, see “Creating formulas” on Page 13.
Figure 2 shows an example Writer document with the formula box selected ready for a formula to
be entered.

Figure 2: Empty formula in a Writer document
12 | Formulas in LibreOffice documents

When you have completed entering the markup language for your formula, close the Formula
Editor by pressing the Esc key or by clicking an area outside the formula in your document.
Double-clicking on the formula object in your document will open the Formula Editor again so thatyou can edit the formula.
Formulas are inserted as OLE objects into documents. You can, as with any OLE object, change
how the object is placed within your document. For more information on OLE objects, see Chapter
2 Formulas in Writer, Chapter 3 Formulas in Calc, Draw & Impress and the user guides for Writer,Calc, Draw, and Impress.
If you frequently insert formulas into documents, it is recommended to add the Formula button to
the Standard toolbar or create a keyboard shortcut. See Chapter 4 Customization for more
information.

Creating formulas
You can insert a formula using one of the following methods:•

In the Elements Dock, select a category from the drop-down list, then a symbol.

•

Right-click in the Formula Editor and select a category, then a symbol from the context
menu.

•

Enter markup language directly in the Formula Editor.

NOTE
Using the Elements Dock, or the context menus to insert a formula provides aconvenient way to learn the markup language used by LibreOffice Math.

Tip
When using the Elements Dock, it is recommended to have Tips selected in the
LibreOffice Options. This will help you identify the categories and symbols you want to
use in your formula. Go to Tools > Options on the main menu bar, then selectLibreOffice > General in the Options dialog and select Extended Tips in the Help
section.

Elements DockThe Elements Dock can be used when entering your formula data. The Elements Dock also
provides an Example category which gives you example formulas to use as a starting point for yourformula or equation.
1)

Go to View on the main menu bar and select Elements Dock to open the Elements Dock
(Figure 3).

2)

Select the category you want to use in your formula from the drop-down list at the top of the
Elements Dock.

3)

Select the symbol you want to use in your formula from the Elements Dock. The symbols
that are available change according to the selected category.

Elements Dock | 13

Figure 3: Elements DockNOTE
The Elements Dock can either be a floating dialog, as shown in Figure 3, or positioned
to the left of the Formula Editor, as shown in Figure 1 and Figure 2.

Context menu
The Formula Editor also provides a context menu to access categories and symbols when creating
your formula. Right-click in the Formula Editor to open the context menu. Select a category andthen select the markup example that you want to use from the sub-context menu, an example isshown in Figure 4.

NOTE
The Elements Dock, or context menu only contain the most common commands thatare used in formulas. For some seldom-used commands, you must always enter thecommand using the markup language. For a complete list of commands, see Appendix
A Commands Reference.

14 | Context menu

Figure 4: Context menu in Formula Editor

Markup language
Markup language is entered directly into the Formula Editor. For example, typing the markup
language 5 times 4 into the Formula Editor creates the simple formula 5×4 . If you areexperienced in using markup language, it can be the quickest way to enter a formula. Table 2
shows some examples of using markup language to enter commands. For a full list of commands
that can be used in the Formula Editor, see Appendix A Commands Reference.
Table 2: Example commands using markup language
Display
Command
Display

a=bCommanda = b√asqrt {a}

a^2

an

a_n

∫ f ( x)dx

int f(x) dx∑ ansum a_na≤ba <= b∞infinity

a×b

a times bx⋅yx cdot ya2

Greek characters
Using markup language
Greek characters are commonly used in formulas, but Greek characters cannot be entered into a
formula using the Elements Dock, or the context menu. Use the English names of Greek

Greek characters | 15

characters in markup language when entering Greek characters into a formula. See Appendix A
Commands Reference for a list of Greek characters that can be entered using markup language.
•

For a lowercase Greek character, type a percentage % sign, then type the character namein lowercase using the English name. For example, typing %lambda creates the Greek
character λ.

•For an UPPERCASE Greek character, type a percentage % sign, then type the charactername in UPPERCASE using the English name. For example, typing %LAMBDA creates the
Greek character Λ.

•

For an italic Greek character, type a percentage % sign followed by the i character, then the
English name of the Greek character in lower or UPPER case. For example, typing%iTHETA creates the italic Greek character Θ.

Symbols dialog
Greek characters can also be entered into a formula using the Symbols dialog.
1)

Make sure your cursor is in the correct position in the Formula Editor.

2)

Go to Tools > Symbols on the main menu, click the toolbar Symbols icon
Symbols dialog (Figure 5)3)

Select Greek from the Symbol set drop-down list. For italic characters, select iGreek fromthe drop-down list.

4)

Select the Greek character from the symbol list, then click Insert. When selected, the nameof a Greek character is shown below the symbol list.

5)

Click Close when you have finished entering Greek characters into your formula.

to open the

Figure 5: Symbols dialog

Formula examples
Example 1
The simple formula1)

5×4

can be created using LibreOffice Math as follows:

Make sure your cursor is flashing in the Formula Editor, then select the category
Unary/Binary Operators and symbol Multiplication using one of the following methods:•

In the Elements Dock, select Unary/Binary Operators from the drop-down list and then

16 | Formula examples

select the Multiplication icon.

•

Right-click in the Formula Editor and select Unary/Binary Operators > a times b fromthe context menu.

•

Using markup language, enter 5 times 4 in the Formula Editor.

•

The first three methods place the formula text <?> times <?> in the Formula Editor
and the symbol
appears in the document.

•

Using markup language in the Formula Editor places the formula 5×4
your document and there is no need to carry out the following steps.

directly into2)

Select the first placeholder <?> before the word times in the Formula Editor and replace itwith the character 5. The formula in your document updates automatically.

3)

Select the second placeholder <?> after the word times in the Formula Editor and replace
it with the character 4. The formula in your document updates automatically.

Tip
To move forward from one placeholder to the next placeholder in a formula, press theF4 key. To move backward from one placeholder to the previous placeholder in aformula, use the key combination Shift + F4 .

NOTE
If necessary, you can prevent a formula in a document from updating automatically. Go
to View on the main menu bar and deselect AutoUpdate display. To then manually
update a formula, press F9 key or select View > Update on the main menu bar.

Example 2
You want to enter the formula π ≃ 3.14159 where the value of pi is rounded to 5 decimal
places. You know the name of the Greek character (pi), but do not know the markup associatedwith the Is Similar Or Equal symbol ≃ .
1)Make sure your cursor is flashing in the Formula Editor.

2)Enter %pi in the Formula Editor to enter the Greek character for pi (π).

3)

Select the category Relations and symbol Is Similar Or Equal using one of the following
methods:•

In the Elements Dock, select Relations from the drop-down list and then select the Is
Similar Or Equal icon.

•

Right-click in the Formula Editor and select Relations > a simeq b from the context
menu.

4)

Delete the first placeholder <?> before the word simeq in the Formula Editor.

5)

Select the second placeholder <?> after the word simeq in the Formula Editor and replace
it with the characters 3.14159. The formula π ≃ 3.14159 now appears in yourdocument.

Editing formulas
How you edit a formula and switch into formula editing mode depends on whether the formula is in
Math or another LibreOffice module.

Editing formulas | 17

1)

In Math, double-click on a formula element in the formula that appears in the Preview
window to select the formula element in the Formula Editor, or directly select a formulaelement in the Formula Editor.

2)

In Writer, Calc, Impress, or Draw, double-click on the formula, or right-click on the formulaand select Edit form the context menu, to open the Formula Editor and enter editing mode.
The cursor is positioned at the start of the formula in the Formula Editor.

NOTE
If you cannot select a formula element using your cursor, click on the Formula Cursor
iconin the Tools toolbar to activate the formula cursor.
3)

Select the formula element you want to change using one of the following methods:•

Click on the formula element in the preview window, positioning the cursor at the
beginning of the formula element in the Formula Editor, then select the formula elementin the Formula Editor.

•

Double-click on the formula element in the preview window to select the formulaelement in the Formula Editor.

•

Position the cursor in the Formula Editor at the formula element you want to edit, thenselect that formula element.

•

Double-click directly on the formula element in the Formula Editor to select it.

4)

Make your changes to the formula element you have selected.

5)

Go to View > Update on the main menu bar, or press the F9 key, or click on the Updateicon
on the Tools toolbar to update the formula in the preview window or your document.

6)

In Math, save your changes to the formula after editing.

7)

In Writer, Calc, Impress, or Draw, click anywhere in your document away from the formula
to leave editing mode, then save your document to save your changes to the formula.

Formula layout
This section provides some advice on how to layout complex formulas in Math or in yourLibreOffice document.

Using braces
LibreOffice Math knows nothing about order of operation within a formula. You must use braces(curly brackets) to state the order of operations that occur within a formula. The following examples
show how braces can be used in a formula.
Example 1
2 over x + 1 gives the result2+1x

Math has recognized that the 2 before and the x after the over as belonging to the fraction,and has represented them accordingly. If you want x+1 rather than x to be the denominator,
you must bracket them together using braces so that both will be placed there.
Inserting braces into 2 over {x + 1} gives the result
denominator.

18 | Using braces2
where x+1 is now thex+1

Example 2– 1 over 2 gives the result−12Math has recognized the minus sign as a prefix for the 1 and has therefore placed it in the
numerator of the fraction. If you wish to show that the whole fraction is negative, with theminus sign in front of the fraction, you must put the fraction in braces to signify to Math thatthe characters belong together.
Adding braces into the markup language – {1 over 2} gives the result –1
and the2

whole fraction is now negative.
Example 3
When braces are used in markup language, they are used to define the layout of the formulaand are not displayed or printed. If you want to use braces within a formula, use thecommands lbrace and rbrace within the markup language.
x over {–x + 1} gives the result

x
– x+1

Replace the braces using the commands lbrace and rbrace in the markup language.
Write x over lbrace –x + 1 rbrace and the result isx{– x +1}

Brackets (parentheses) and matrices
If you want to use a matrix in a formula, you have to use a matrix command. For example,
matrix { a # b ## c # d } gives the resulting matrix ab in your formula, where rowsc d

are separated by two hashes (##) and entries within each row are separated by one hash (#).
Normally, when you use brackets within a matrix, the brackets do not scale as the matrix increases
in size. For example, ( matrix { a # b ## c # d } ) gives the result ( a

b
)
c d

To overcome this problem of brackets with a matrix, LibreOffice Math provides scalable brackets
that grow in size to match the size a matrix. The commands left( and right) have to be used
to create scalable brackets within a matrix. For example, left( matrix { a # b ## c #d } right) gives the result(ac bd ) where the matrix is now bracketed by scalable brackets.

Scalable brackets can also be used with any element of a formula, such as fraction, square root,and so on.

Tip
Use the commands left[ and right] to obtain square brackets. A list of all brackets
available within Math can be found in Appendix A Commands Reference.

Tip
If you want all brackets to be scalable, go to Format > Spacing to open the Spacing
dialog. Click on Category, select Brackets from the drop-down list and then select theoption Scale all brackets.

Brackets (parentheses) and matrices | 19

Unpaired brackets
When using brackets in a formula, Math expects that for every opening bracket there will be aclosing one. If you forget to add a closing bracket, Math places an inverted question mark next towhere the closing bracket should have been placed. This inverted question mark disappears when
all the brackets are paired. However, an unpaired bracket is sometimes necessary and you havethe following options.

Non scalable brackets
A backslash \ is placed before a non scalable bracket to indicate that the following character should
not be regarded as a bracket, but as a literal character.
For example, the unpaired brackets in the formula [ a; b [ are deliberate, but gives the result. To remove the inverted question marks and create unpaired brackets, backslashes are¿a ;b ¿¿

added. The formula now becomes \ [ a; b \ [ and the result [ a ; b [ shows unpaired
brackets without the inverted question marks.

Scalable brackets
To create unpaired scalable brackets or braces in a formula, the markup commands left, right,
and none are used.
ExampleYou want to create the formula |x|= x for x≥0{−x for x<0

and in the Formula Editor you enter abs= x lbrace stack {x "for" x >= 0 # -x "for" x < 0. However, this gives the¿incorrect result. To remove the inverted question marks and create the correct

x for x≥0
−x for x<0|¿| x ¿

formula, you have to use the markup commands left, right, and none. Change yourentry in the Formula Editor to abs x = left lbrace stack {x "for" x >= 0 # -x
"for" x < 0} right none and this creates the correct formula.

Recognizing functions
In the basic installation of Math, Math outputs functions in normal characters and variables in italic
characters. However, if Math fails to recognize a function, you can tell Math that you have justentered a function. Enter the markup command func before a function forces Math to recognize
the following text as a function and uses normal characters.
For a full list of functions within Math, see Appendix A Commands Reference.
Some Math functions have to be followed by a number or a variable. If these are missing, Mathplaces an inverted question mark where the missing number or variable should be. To remove theinverted question mark and correct the formula, you have to enter a number, a variable, or a pair ofempty brackets as a placeholder.

Tip
You can navigate through errors in a formula using the key F3 or the key combination
Shift + F3 .

20 | Recognizing functions

Formulas over multiple lines
Suppose you want to create a formula that requires more than one line, for example x=3 . Your

y=1

first reaction would normally be to press the Enter key. However, if you press the Enter key, themarkup language in the Formula Editor goes to a new line, but the resulting formula does not have
two lines. You must type the macro command newline each time you want to create and display
a new line in a formula.
Examplex = 3
y = 1
gives the incorrect result x=3 y=1
x = 3 newline y = 1 gives the correct result x=3

y=1

It is not possible in Math to create multiple line formulas when a line ends with an equals sign andyou want to continue the calculation on a new line without completing the term on the right side ofthe equals sign. If you require a multiple line formula to have an equals sign at the end of a line
without a term after the equals sign, then use either empty quotes “” or empty braces {} or the
space characters grave ` or tilde ˜.
By default, the alignment of a multiple line formula is center aligned. For more information onalignment using the equals sign, see Chapter 4 Customization.
Spacing between the element in a formula is not set by using space characters in the markup
language. If you want to add spaces into your formula, use one of the following options:•

Grave ` to add a small space.

•

Tilde ~ for a large space.

•

Add space characters between quotes “ ”. These spaces will be considered as text.

Any spaces at the end of a line in the markup language are ignored by default. For more
information, see Chapter 4 Customization.

Adding limits to sum/integral commands
The sum and integral commands can take the parameters from and to if you want to set thelower and upper limits respectively. The parameters from and to can be used singly or together
as shown by the following examples. For more information on the sum and integral commands,
see Appendix A Commands Reference.
Examplesnsum from k = 1 to n a_k gives the result

∑ ak
k=1
x

int from 0 to x f(t) dt gives the result∫ f (t)dt0

int_0^x f(t) dt gives the result
int from Re f gives the resultx∫0 f (t)dt∫fℜ∞

sum to infinity 2^{-n} gives the result∑ 2−nAdding limits to sum/integral commands | 21

Writing derivatives
When writing derivatives, you have to tell Math that it is a fraction by using the over command.
The over command is combined with the character d for a total derivative or the partialcommand for a partial derivative to achieve the effect of a derivative. Braces {} are used eachside of the element to surround the element and make the derivative as shown by the following
examples.
Examples{df} over {dx} gives the resultdf
dx{partial f} over {partial y} gives the result

∂f
∂y
2

{partial^2 f} over {partial t^2} gives the result

∂ f
2
∂t

Note
To write function names with primes, as is normal in school notation, you must first add
the symbols to the catalog. See Chapter 4 Customization for more information.

Markup language characters as normal characters
Characters that are used as controls in markup language cannot be entered directly as normal
characters. These characters are: %, {, }, &, |, _, ^ and ". For example, you cannot write
2% = 0.02 in markup language and expect the same characters to appear in your formula. To
overcome this limitation in markup language, use one of the following methods:•

Use double quotes either side of the character to mark that character as text, for example
2"%"= 0.02 will appear in your formula as 2 %=0.02 . However, this method cannot be
used for the double-quote character itself, see “Text in formulas” below.

•

Add the character to the Math Catalog, for example the double quote character.

•

Use commands, for example lbrace and rbrace give you literal braces {} .

Note
The Special Characters dialog used by other LibreOffice modules is not available in
Math. If you are going to regularly require special characters in Math, then it isrecommended to add the characters to the Math Catalog, see Chapter 4
Customization for more information.

Text in formulas
To include text in a formula, you have to enclose any text in double-quotes, for example x " for" x >= 0 in markup language will create the formula x for x≥0 . All characters, except double
quotes, can be used in text. However, if you require double quotes in your formula text, then you
have to create your text with double quotes in LibreOffice Writer, then copy and paste the text into
the Formula Editor as shown in Figure 6.
The font used for text in a formula will be the default font that has been set in the Fonts dialog. For
more information on how to change fonts used for in formulas, see “Changing formula appearance”
on page 24.

22 | Text in formulasBy default, text alignment is left-justified in formulas. For more information on how to change textalignment, see “Adjusting formula alignment” on page 29.

Figure 6: Example of double quotes in formula text
Formatting commands are not interpreted within text used in formulas. If you want to use
formatting commands within formula text, then you must break up the text using double quotes in
the Formula Editor.
ExampleEnter the following in the Formula Editor:"In " color blue bold "isosceles" "triangles, the base angles areequal"
creates the following text in a formula In isosceles triangles, the base angles are equal

Aligning formulas using equals sign
LibreOffice Math does not have a command for aligning formulas on a particular character.
However, you can use a matrix to align formulas on a character and this character is normally theequals sign (=).
ExampleCreating the matrix:
matrix{ alignr x+y # {}={} # alignl 2 ## alignr x2-y }# {}={} # alignl

gives the following result where formulas are aligned on the equals sign x + yx= 2= 2− yNote
The empty braces each side of the equals sign are necessary because the equals sign
is a binary operator and requires an expression on each side. You can use spaces, or `or ~ characters each side of the equals sign, but braces are recommended as they areeasier to see within the markup language.
You can reduce the spacing on each side of the equals sign if you change the inter-column spacingof the matrix. See “Adjusting formula spacing” on page 27 for information on how to adjust adjust
formula spacing.

Aligning formulas using equals sign | 23

Changing formula appearance
Formula font size
Current formula font size
To change the font size used for a formula already inserted in Math or another LibreOffice module:
1)

Click in the markup language in the Formula Editor.

2)

Go to Format > Font size on the main menu bar to open the Font Sizes dialog (Figure 7).

3)

Select a different font size using the Base size spinner or type a new font size in the Base
Size box.

4)

Click OK to save your changes and close the dialog. An example result when you change
font size is shown below.

ExampleDefault font size 12pt: π ≃ 3.14159
After font size change to 18pt:

π ≃ 3.14159

Figure 7: Font Sizes dialog

Default formula font size
To change the default font size used for all formulas in Math or another LibreOffice module:
1)

Before inserting any formulas in your document, go to Format > Font size on the main
menu bar to open the Font Sizes dialog (Figure 7).

2)

Select a different font size using the Base size spinner or type a new font size in the Base
Size box.

3)

Click Default and confirm your changes to the base size font. Any formulas created fromthis point on will use the new base size font for formulas.

4)

Click OK to save your changes and close the Font Sizes dialog.

Note
If you have already inserted formulas into your document and you change the default
font size, only formulas inserted after the change in default font size will use the newdefault settings. You have to individually change the font size of formulas alreadyinserted if you want these formulas to use the same font size as the default settings.

24 | Formula font size

Tip
There is an extension “Formatting of all Math formulas”. It allows to change font nameand font size for all or only for selected formulas in your document. You can download
it from the official extension site:
https://extensions.libreoffice.org/extensions/formatting-of-all-math-formulas

Font size options
The Font Sizes dialog (Figure 7) specifies the font sizes for your formula. Select a base size and allelements of the formula will be scaled in relation to this base.
•Base size – all elements of a formula are proportionally scaled to the base size. To change
the base size, select or type in the desired point (pt) size. You can also use other units ofmeasure or other metrics, which are then automatically converted to points.

•

Relative Sizes – in this section, you can determine the relative sizes for each type ofelement with reference to the base size.

••

Text – select the size for text in a formula relative to the base size.

•

Indexes – select the relative size for the indexes in a formula in proportion to the base
size.

•

Functions – select the relative size for names and other function elements in a formulain proportion to the base size.

•

Operators – select the relative size of the mathematical operators in a formula inproportion to the base size.

•

Limits – select the relative size for the limits in a formula in proportion to the base size.

Default – clicking this button saves any changes as a default for all new formulas. A
confirmation message appears before saving any changes.

Formula fonts
Current formula fonts
To change the fonts used for the current formula in Math or another LibreOffice module:
1)

Click in the markup language in the Formula Editor.

2)

Go to Format > Fonts on the main menu bar to open the Fonts dialog (Figure 8).

3)

Select a new font for each the various options from the drop-down lists.

4)

If the font you want to use does not appear in the drop-down list, click Modify and selectthe option from the context menu to open a fonts dialog. Select the font you want to use
and click OK to add it to the drop-down list for that option.

5)

Click OK to save your changes and close the Fonts dialog.

Formula fonts | 25

Figure 8: Fonts Dialog

Default formula fonts
To change the default fonts used for all formulas in Math or another LibreOffice module:
1)

Before inserting any formulas in your document, go to Format > Fonts on the main menu
bar to open the Fonts dialog (Figure 8).

2)

Select a new font for each the various options from the drop-down lists.

3)

If the font you want to use does not appear in the drop-down list, click Modify and selectthe option from the context menu to open a fonts dialog. Select the font you want to use
and click OK to add it to the drop-down list for that option.

4)

Click Default and confirm your changes to the fonts. Any formulas created from this point
on will use the new font for formulas.

5)

Click OK to save your changes and close the Fonts dialog.

Note
If you have already inserted formulas into your document and you change the default
fonts, only formulas inserted after the change in default fonts will use the new default
settings. You have to individually change the font of formulas already inserted if you
want these formulas to use the same font as the default settings.

Formula font options
Defines the fonts that can be applied to formula elements.
••

Formula Fonts – defines the fonts used for the variables, functions, numbers and inserted
text that form the elements of a formula.
•

Variables – selects the fonts for the variables in your formula. For example, in theformula x=SIN(y), x and y are variables and will reflect the assigned font.

•

Functions – selects the fonts for names and properties of functions. For example, thefunctions in the formula x=SIN(y) are =SIN( ).

•Numbers – selects the fonts for the numbers in a formula.

•

Text – defines the fonts for the text in a formula.

Custom Fonts – in this section of the Fonts dialog (Figure 8), fonts are defined which
format other text components in a formula. The three basic fonts Serif, Sans and Fixed are

26 | Formula fontsavailable. Other fonts can be added to each standard installed basic font using the Modify
button. Every font installed on a computer system is available for use.
•

Serif – specifies the font to be used for the font serif format. Serifs are the small"guides" that can be seen, for example, at the bottom of a capital A when the Times serif
font is used. Using serifs is quite helpful since it guides the eye of a reader in a straightline and can speed up reading.

•Sans – specifies the font to be used for sans font formatting.

•

Fixed – specifies the font to be used for fixed font formatting.

•

Modify – click one of the options from the context menu to access the Fonts dialog, where
the font and attributes can be defined for the respective formula and for custom fonts.

•

Default – clicking this button saves any changes as a default for all new formulas. A
confirmation message appears before saving any changes.

Note
When a new font is selected for a formula, the old font remains in the list alongside thenew one and can be selected again.

Note
Variables should be written in italics, so make sure that the Italic option is selected. For
the font you want to use. For all other elements, use the basic form of a font. The style
can be easily altered in the formula itself by using the commands italic or bold to
set these characteristics and nitalic or nbold to unset them.

Adjusting formula spacing
Use the Spacing dialog (Figure 9) to determine the spacing between formula elements. The
spacing is specified as a percentage in relation to the defined base size for font sizes.

Figure 9: Spacing Dialog

Current formula spacing
To change the spacing used for the current formula in Math or another LibreOffice module:
1)

Click in the markup language in the Formula Editor.

2)

Go to Format > Spacing on the main menu bar to open the Spacing dialog (Figure 9).

3)

Click Category and select one of the options from the drop-down list. The options in the
Spacing dialog change according to the category selected.

4)Enter new values for the spacing category and click OK.

5)

Check the result in your formula. If not to your satisfaction, repeat the above steps.
Adjusting formula spacing | 27

Default formula spacing
To change the default spacing used for all formulas in Math or another LibreOffice module:
1)

Before inserting any formulas in your document, go to Format > Spacing on the main
menu bar to open the Spacing dialog (Figure 9).

2)

Click Category and select one of the options from the drop-down list. The options in the
Spacing dialog change according to the category selected.

3)

Click Default and confirm your changes to the formula spacing. Any formulas created fromthis point on will use the new spacing for formulas.

4)

Click OK to save your changes and close the Spacing dialog.

Note
If you have already inserted formulas into your document and you change the spacing,
only formulas inserted after the change in spacing will use the new default settings.
You have to individually change the spacing of formulas already inserted if you wantthese formulas to use the same spacing as the default settings.

Spacing options
Use Category in the Spacing dialog (Figure 9) to determine the formula element for which you
would like to specify the spacing. The appearance of the dialog depends on the selected category.
A preview window shows you which spacing is modified through the respective boxes.
•

Category – pressing this button allows you to select the category for which you would liketo change the spacing.

•Spacing – defines the spacing between variables and operators, between lines, andbetween root signs and radicals.

•

•

•

•

•

•

Line Spacing – determines the spacing between lines.

•

Root Spacing – determines the spacing between the root sign and radicals.

Indexes – defines the spacing for superscript and subscript indexes.
•

Superscript – determines the spacing for superscript indexes.

•

Subscript – determines the spacing for subscript indexes.

Fractions – defines the spacing between the fraction bar and the numerator or
denominator.
•

Numerator – determines the spacing between the fraction bar and the numerator.

•

Denominator – determines the spacing between the fraction bar and the denominator.

Fraction Bars – defines the excess length and line weight of the fraction bar.
•

Excess length – determines the excess length of the fraction line.

•

Weight – determines the weight of the fraction line.

Limits – defines the spacing between the sum symbol and the limit conditions.
•Upper limit – determines the spacing between the sum symbol and the upper limit.

•

Lower limit – determines the spacing between the sum symbol and the lower limit.

Brackets – defines the spacing between brackets and the content.
•

Excess size (left/right) – determines the vertical distance between the upper edge of thecontents and the upper end of the brackets.

•

Spacing – determines the horizontal distance between the contents and the upper endof the brackets.

28 | Adjusting formula spacing

•

•

•

•

•

Scale all brackets – scales all types of brackets. If you then enter ( a over b) in the
Formula Editor, the brackets will surround the whole height of the argument. You
normally achieve this effect by entering left ( a over b right ).

•Excess size – adjusts the percentage excess size. At 0% the brackets are set so thatthey surround the argument at the same height. The higher the entered value is, thelarger the vertical gap between the contents of the brackets and the external border ofthe brackets. The field can only be used in combination with Scale all brackets.

Matrices – defines the relative spacing for the elements in a matrix.
•

Line spacing – determines the spacing between matrix elements in a row.

•

Column spacing – determines the spacing between matrix elements in a column.

Symbols – defines the spacing of symbols in relation to variables•

Primary height – defines the height of the symbols in relation to the baseline.

•

Minimum spacing – determines the minimum distance between a symbol and variable.

Operators – defines the spacing between operators and variables or numbers.
•

Excess size – determines the height from the variable to the operator upper edge.

•

Spacing – determines the horizontal distance between operators and variables.

Borders – adds a border to a formula. This option is particularly useful if you want tointegrate the formula into a text file in LibreOffice Writer. When making settings, make surethat you do not use 0 as a size as this creates viewing problems for text that surrounds theinsertion point.
•

Left – the left border is positioned between the formula and background.

•

Right – the right border is positioned between the formula and background.

•

Top – the top border is positioned between the formula and background.

•

Bottom – the bottom border is positioned between the formula and background.

•Preview Field – displays a preview of the current selection.

•

Default – saves any changes as default settings for all new formulas. A security response
will appear before saving these changes.

Adjusting formula alignment
The alignment settings determine how formula elements located above one another are aligned
horizontally relative to each other.

Note
It is not possible to align formulas on a particular character and formula alignment
does not apply to text elements. Text elements are always aligned left.

Note
Independent of using formula alignment given below, it is possible to align formulas
using the commands alignl, alignc and alignr. These commands also work fortext elements.

Current formula alignment
To change the alignment used for the current formula in Math or another LibreOffice module:

Adjusting formula alignment | 29

1)

Click in the markup language in the Formula Editor.

2)

Go to Format > Alignment on the main menu bar to open the Alignment dialog (Figure 10).

3)

Select either Left, Centered, or Right for horizontal alignment.

4)

Click OK and check the result in your formula. If not to your satisfaction, repeat the above
steps.

Figure 10: Alignment Dialog

Default formula alignment
To change the default alignment used for all formulas in Math or another LibreOffice module:
1)

Before inserting any formulas in your document, go to Format > Alignment on the main
menu bar to open the Alignment dialog (Figure 10).

2)

Select either Left, Centered, or Right for horizontal alignment.

3)

Click Default and confirm your changes to the formula alignment. Any formulas createdfrom this point on will use the new alignment for formulas.

4)

Click OK and check the result in your formula. If not to your satisfaction, repeat the above
steps.

Note
If you have already inserted formulas into your document and you change the formulaalignment, only formulas inserted after the change in alignment will use the newdefault settings. You have to individually change the alignment of formulas alreadyinserted if you want these formulas to use the same alignment as the default settings.

Changing formula color
Character color
Formula color for the characters used in a formula is changed by using the command color in themark up language. This command only works on the formula element immediately after the color
name. For example, entering the markup language color red ABC 5 times 4 gives the result
ABC 5×4 .
To change the color of the whole formula, you have to enclose the whole formula within brackets.
For example, entering the markup language color red {ABC 5 times 4} gives the result
ABC 5×4 .
For information on the colors available in Math, see Appendix A Commands Reference.

Background color
It is not possible to select a background color for formulas in LibreOffice Math. The backgroundcolor for a formula is by default the same color as the document or frame that the formula has been
30 | Changing formula color

inserted into. However, in LibreOffice documents, you can use object properties to change thebackground color for a formula. For more information on using a background color (area fill for
objects) with a formula, please refer to the user guides for Writer, Calc, Draw and Impress.

Formula library
If you regularly insert the same formulas into your documents, you can create a formula libraryusing formulas that you have created using the Formula Editor. Individual formulas can be saved
as separate files using the ODF format for formulas with the file suffix of .odf, or in MathML format
with the file suffix of .mml.
You can use either LibreOffice Math, Writer, Calc, Draw, or Impress to create formulas and build up
your formula library.

Using Math1)Create a folder on your computer to contain your formulas and give the folder a memorable
name, for example Formula Library.

2)

In LibreOffice, go to File > New > Formula on the main menu bar, or click on Math
Formula in the opening splash screen to open LibreOffice Math and create your formulausing the Formula Editor. See “Formulas as separate documents or files” on Page 11 formore information.

3)

Go to File > Save As on the main main menu bar or use the keyboard shortcut
Ctrl + Shift + S to open a Save As dialog.

4)

Navigate to the folder you have created for your formula library.

5)

Type in a memorable name for your formula in the File name text box.

6)

Select from the drop-down list for File type either ODF Formula (.odf) or MathML 1.01(.mml) as the file type for your formula.

7)

Click Save to save your formula and close the Save As dialog.

Using Writer, Calc, Draw, or Impress
1)

Create a folder on your computer to contain your formulas and give the folder a memorable
name, for example Formula Library.

2)

Open a document using Writer, Calc, Draw, or Impress.

3)

Go to Insert > Object > Formula on the main menu bar to open the Formula Editor andcreate your formula. See “Formulas in LibreOffice documents” on page 12 for more
information.

4)

Right-click on your formula object and select Save Copy as from the context menu to opena Save As dialog.

5)

Navigate to the folder you have created for your formula library.

6)

Type in a memorable name for your formula in the File name text box.

7)

Select from the drop-down list for File type either ODF Formula (.odf) or MathML 1.01(.mml) as the file type for your formula.

8)

Click Save to save your formula and close the Save As dialog.

Using your formula library
You cannot insert a formula from your library into a document by dragging and dropping using themouse, nor by using Insert > File on the main menu bar. You must insert a formula from yourlibrary into your document as an OLE object.

Using your formula library | 31

1)Open your document in Writer, Calc, Draw, or Impress.

2)

Go to Insert > Object > OLE Object on the main menu bar to open the Insert OLE Object
dialog.

3)

Select the option Create from file.

4)

Click Search to open your file browser dialog.

5)

Navigate to the folder you have created for your formula library.

6)

Select the formula you want to insert and click Open, or double-click on the formula you
want to insert.

7)

Click OK to insert your formula as an OLE object in your document and close the OLE
Object dialog.

32 | Using your formula libraryMath Guide

Chapter 2
Formulas in WriterIntroduction
When a formula is inserted into a document, LibreOffice Writer inserts the formula into a frame andtreats the formula as an OLE object. Double-clicking on an inserted formula will open the Formula
Editor in LibreOffice Math allowing you to edit the formula. For more information on creating andediting formulas, please refer to Chapter 1 Creating & Editing Formulas.
This chapter explains what options you can change for each individual formula within your Writer
document. Please refer to the chapters on styles in the Writer Guide for information on how tochange the default settings for frame styles for OLE objects.

Automatic formula numbering
Automatic numbering of formulas for cross reference purposes can only be carried out in
LibreOffice Writer. The easiest way to add numbered formulas in sequence is to use the AutoText
entry fn (for 'formula numbered').

Numbering1)

Start a new line in your document.

2)Type fn and then press the F3 key. A two column table with no borders is inserted into
your document with the left column containing a sample formula and the right column
containing a reference number, as shown below.
(1)
ABC 5×4

3)

Delete the sample formula and insert your formula as an object in the left column. See
Chapter 1 Creating & Editing Formulas for more information on inserting formulas.

4)

Alternatively, you can first insert your formula into the document, then carry out Steps 1 and2 above replacing the sample formula with your formula.

34| Math Guide Version 6.2

Figure 11: Fields Dialog – Cross References Page

Cross referencing
1)

Click in your document where you want the cross reference to appear.

2)

Go to Insert > Cross-reference on the menu bar to open the Fields dialog (Figure 11).

3)

Click on the Cross-references tab, then select Text in the Type section.

4)

In the Selection section, select the formula number you want to refer to.

5)

In the Insert reference to section, select Reference and click Insert.

6)

When you have finished creating cross references, click Close to close the Fields dialog.

Tip
To insert the cross reference number without parentheses, select Numbering insteadof Reference in the Insert reference to section.

Note
If you want to use square parentheses instead of round ones, or if you want the crossreference number to be separated from the formula by tabs instead of using a table,
then refer to the chapter on automatic text in the Writer Guide.

Anchoring formulas
A formula is treated as an object within Writer and its default anchoring is As character within aparagraph when it is inserted into a document. To change the anchoring of a formula object:
Math Guide Version 6.2 | 35

1)

Right-click on the selected formula object and select Anchor from the context menu.

2)

Select a new anchoring option from the context sub-menu. The anchoring positions
available are To page, To paragraph, To character, or As character.

Figure 12: Object dialog – Type tab with Anchor options
3)

Alternatively, right-click on the selected formula object and select Properties from thecontext menu, or go to Format > Frame and Object > Properties on the main menu bar toopen the Object dialog (Figure 12).

4)Make sure the Type tab is selected and select a new anchoring position from the Anchor
section.

5)

Click OK to save your changes and close the Object dialog.

Note
The anchoring options are not available in the Object dialog when you are making
changes to the various options available for frame styles. For more information on how
to modify frame styles, please refer to the chapters on styles in the Writer Guide.

Vertical alignment
The normal default setting for vertical alignment for formula objects is to use the text base line as areference. This default setting can be changed by modifying the formula frame style, see thechapters on styles in the Writer Guide for more information.
To change the vertical alignment position of an individual formula object:
1)

Right-click on the selected formula object and select Properties from the context menu, or
go to Format > Frame and Object > Properties to open the Object dialog (Figure 12).

2)

Make sure the Type tab is selected and select a new alignment position from the dropdown list in the Position section. The vertical alignment options available are Top, Bottom,
Center or From bottom.

36| Math Guide Version 6.2

3)

If necessary, type in the text box a plus or minus value for vertical alignment. This option is
only available if From bottom vertical alignment has been selected.

4)

Select the type of text alignment from the drop-down list in the Position section. The textalignment options available are Base line, Character and Row.

5)

Click OK to save your changes and close the Object dialog.

Note
If the Position section in the Object dialog is greyed out and not available, then go toTools > Options > LibreOffice Writer > Formatting Aids and uncheck the option
Math baseline alignment. This setting is stored with the document and applies to all
formulas within it. Any new documents created will also use this setting for Mathbaseline alignment.

Object spacing
A formula object, when inserted into a Writer document, has spacing each side of the formula
object. The default value used for spacing is set within the frame style for formula objects and canbe changed by modifying the formula frame style, see the chapters on styles in the Writer Guide formore information.
You can individually adjust the spacing for each formula object within your document as follows:1)

Create your formula in your Writer document.

2)

Right-click on your selected formula object and select Properties from the context menu, or
go to Format > Frame and Object > Properties on the main menu bar to open the Object
dialog.

3)

Click on the Wrap tab to open the Wrap page in the Object dialog (Figure 13).

4)

In the Spacing section, enter the spacing value for Left, Right, Top and Bottom spacing.

5)

Click OK to save your changes and close the Object dialog.

Math Guide Version 6.2 | 37

Figure 13: Object dialog – Wrap tab

Text mode
In large formulas placed within a line of text, the formula elements can often be higher than the text
height. Therefore, to make large formulas easier to read, it is recommended to always insert large
formulas into a separate paragraph of their own so that it is separated from text.
However, if it is necessary to place a large formula within a line of text, double-click on the formulato open the Formula Editor and then go to Format > Text Mode on the main menu bar. The
Formula Editor will try to shrink the formula to fit the text height. The numerators and denominatorsof fractions are shrunk, and the limits of integrals and sums are placed beside the integral/sum
sign, as shown in the following example.
ExampleA formula in a separate paragraph:
5

∑ i2
i=2

and the same formula embedded into a line of text using text mode format:∑5i=2 i 2

Background and borders
The default setting for background (area fill) and borders for formula objects is set by the formulaframe style. To change this default setting for formula frame style, refer to the chapters on styles in
the Writer Guide. However, for individual formulas in your document, you can change thebackground and borders.

38| Math Guide Version 6.2

Note
The size of the frame that a formula is placed in when inserted into a document cannot
be changed. The frame size for a formula object depends on the setting of the formula
font size, see Chapter 1 Creating & Editing Formulas for more information.

Backgrounds
1)

In your document, select the formula where you want to change the background.

2)

Right-click on the formula and select Properties from the context menu, or go to Format >Frame and Object > Properties on the main menu bar to open the object dialog.

3)

Click on the Area tab and select the type of fill you want to use for your formula from theFill drop-down list (Figure 14).

4)

Select the options you want to use for your formula background. The options change
depending on the type of fill selected.

5)

Click OK to save your changes and close the Object dialog.

Figure 14: Object dialog – Area tab

Borders1)

In your document, select the formula where you want to change the borders.

2)

Right-click on the formula and select Properties from the context menu, or go to Format >Frame and Object > Properties on the main menu bar to open the object dialog.

3)

Click on the Borders tab and select the options you want to use for your formula borders(Figure 15).

4)

Click OK to save your changes and close the Object dialog.

Math Guide Version 6.2 | 39

Figure 15: Object dialog – Borders tab

Quick insertion of formulas
To quickly insert a formula into your Writer document without opening the Formula Editor and you
know the markup language for the formula:1)

Enter the formula markup language into your document at the position where you want theformula.

2)

Select the markup language.

3)

Go to Insert > Object on the main menu bar and select Formula to create a formula fromthe selected markup language.

40| Math Guide Version 6.2

Math Guide

Chapter 3
Formulas in Calc, Draw &Impress

Introduction
In Calc, Draw, and Impress, formulas are inserted as OLE objects without any background(area fill) or borders. See Chapter 1 Creating & Editing Formulas for more information on
inserting formulas into a LibreOffice module.
Each formula object is inserted into a spreadsheet, drawing, or slide as follows:•

In Calc, formulas are inserted into a selected cell in a spreadsheet with no style assigned to
the formula object.

•

In Draw and Impress, formulas are inserted into a central position on your drawing or slideand, by default, are assigned the drawing object style Object with no fill and no line. For
more information on how to modify or assign drawing object styles, see the Draw User
Guide or the Impress User Guide.

Anchoring formulas
Calc
A formula object can be anchored into your spreadsheet as To Page (default setting), or as To
Cell. To change the anchoring type of formulas in a Calc spreadsheet:1)

Select the formula object in your spreadsheet.

2)

Right-click on the formula and select Anchor > To Page or To Cell from the context menu

3)

Alternatively, go to Format > Anchor on the main menu bar and select To Page or To Cell.

Draw and Impress
When a formula is inserted into a drawing or slide, it is inserted as a floating OLE object and is notanchored to any particular position in a drawing or slide.

Formula object properties
Formula objects in Calc, Draw, and Impress can be modified just like any other object that has
been placed in your spreadsheet, drawing, or presentation, with the exception of formula object
size and changing the format of any text within a formula. For more information on how to change
object properties, see the Calc User Guide, Draw User Guide and Impress User Guide. For more
information on formula object size and formatting formula text, see Chapter 1 Creating & Editing
Formulas in this guide.
The following points will help you select which dialog to use if you want to change the properties offormula objects.
•

For formula backgrounds, use the various options in the tabs of the Area dialog.

•

For formula borders, use the various options in the Line dialog. Note that formula borders
are separate from cell borders in a Calc spreadsheet.

•To accurately re-position a formula object, use the various options in tabs of the Position
and Size dialog.

•

In Draw and Impress, you can arrange, align, group, flip, convert, break, combine, and edit
points of formula objects.

•

You cannot change the text attributes of a formula object. The text used in a formula is set
when you create the formula in the Formula Editor.

•

Formula object size is set by the formula font size when the formula is created in the
Formula Editor. The formula object size is protected in the Position and Size dialog, but thiscan be deselected if you so wish. However, this is not recommended as resizing a formula

42| Math Guide Version 6.2

object using the Position and Size dialog could lead to distortion of a formula making it
difficult to read.

Formulas in charts
A chart in a Calc spreadsheet is itself an OLE object, therefore, you cannot use the Formula Editor
to create and insert a formula into a chart.
To insert a formula into a chart, create the formula first using the Formula Editor and copy theformula to the clipboard. You then create your chart in Calc and paste the formula into your chart.
The formula is automatically converted into the correct format for insertion into a chart.
If you want to change the formula at a later date, then you must repeat the whole process ofcreating, copying, and pasting.

Math Guide Version 6.2 | 43

Math Guide

Chapter 4
Customization

Introduction
This chapter explains how you can customize LibreOffice Math to suit the way you create formulas
for use in LibreOffice documents. Also, refer to the Getting Started Guide for information on how tocustomize LibreOffice.

Chemical formulas
The primary purpose of Math is to create mathematical formulas, but it can also be used to write
chemical formulas. However, in chemical formulas, the chemical symbols are normally written inuppercase using non-italic characters. The following table shows some examples of chemical
formulas.
Construction

ExampleMarkup Language

Molecules

H 2 SO 4

H_2 SO_4

Isotopes

238
92

U lsub 92 lsup 238

Ions

SO4

U
2−

or

2-

SO 4

SO_4^{2-{}} or SO_4^{2"-"}

To create chemical formulas using Math, you have to change the font used for variables to a nonitalic font. For more information on how to change fonts in a formula, see Chapter 1 Creating &Editing Formulas.
For reversible reactions in chemical formulas, there is no symbol you can use for a double arrow in
Math. If you have a font available with correct symbols for use in chemical formulas, then you can
add these symbols to the Catalog. See “Catalog customization” on page 48 for more information
on how to add symbols to the Catalog.

Floating dialogs
The Formula Editor and Elements Dock can cover a large part of your document. To help create
more space and/or allow you to move either the Formula Editor or Elements Dock out of the way,
you turn both of them into floating dialogs.
1)

Position the cursor on the frame.

2)

Hold down the Ctrl key and double-click. This turns the Formula Editor into the Commands
dialog (Figure 16) and the Elements Dock into the Elements Dock dialog (Figure 17).

Figure 16: Commands dialog

Math Guide Version 6.2 | 45

Figure 17: Elements dialog
To return the Commands dialog and Elements Dock dialog back to their default positions:1)

Position the cursor on the frame of the dialog, NOT the title bar at the top of the of the
dialog.

2)

Hold down the Ctrl key and double-click.

Adding keyboard shortcuts
You can add keyboard shortcuts to LibreOffice to make creating documents much easier and tomatch your workflow. Below is an example of how to add a keyboard shortcut for inserting a Mathformula into a LibreOffice document.

Note
When selecting new keyboards shortcuts, make sure that you do not select akeyboard shortcut that is already in use by LibreOffice or your computer system. For
example, the keyboard combination Shift + Ctrl + F2 in Calc moves the cursor to the
input line where you can enter a Calc formula in the selected cell, NOT a Mathformula.

Example keyboard shortcut
1)

Go to Tools > Customize on the main menu bar to open the Customize dialog (Figure 18).

2)

Click on the Keyboard tab to access the options available for adding keyboard shortcuts.

3)

Select the level of the new keyboard shortcut.
•

Select LibreOffice so that the new keyboard shortcut can be used in all modules ofLibreOffice.

•Select Math to use the new keyboard shortcut in Math only.

4)

In the Category list, select Insert.

5)

In the Function list, select Import Formula.

6)

In the Shortcut Keys list, select the key or keyboard combination that you want to use foryour new keyboard shortcut.

7)

Click Modify and your keyboard shortcut will appear in the Keys list.

8)

If necessary, continue to add keyboard shortcuts using the above steps.

9)

Click OK to save your keyboard shortcuts and close the Customize dialog.

46| Math Guide Version 6.2

Figure 18: Customize dialog – Keyboard tab

Keyboard customize options
The options for customizing keyboard shortcuts are as follows:•

LibreOffice – displays shortcut keys that are common to all LibreOffice modules.

•

Math, Writer, Calc, Draw, or Impress – displays the keyboard shortcuts for the open andcurrent LibreOffice module.

•

Shortcut Keys – lists the shortcut keys and the associated commands. To assign or modify
the shortcut key for the command selected in the Function list, click a shortcut in this list,
and then click Modify.

•

Functions – type function name in the text field for search it in Function list.

•

Function – lists the function categories and the LibreOffice functions that you can assign
shortcut keys to.

••Category – lists the available function categories.

•

Function – select a function that you want to assign a shortcut key to, select a key
combination in the Shortcut Keys list, and then click Modify. If the selected function
already has a shortcut key, it is displayed in the Keys list.

•

Keys – displays the shortcut keys that are assigned to the selected function.

Modify – assigns the key combination selected in the Shortcut Keys list to the command
selected in the Function list.

Math Guide Version 6.2 | 47

•Delete – deletes the selected element or elements without requiring confirmation.

•

Load – replaces the shortcut key configuration with one that was previously saved.

•

Save – saves the current shortcut key configuration, so that you can load it later.

•

Reset – resets modified values back to the default values.

Catalog customization
If you regularly use a symbol that is not available in Math, you can add it to the Symbols dialog(Figure 19) by opening the Edit Symbols dialog (Figure 20).
Using the Edit Symbols dialog you can add symbols to a symbol set, edit symbol sets, or modify
symbol notations. You can also define new symbol sets, assign names to symbols, or modify
existing symbol sets.

Adding symbols
1)

Go to Tools > Symbols on the main menu bar or click on the Symbols icon
toolbar to open the Symbols dialog.

2)

Click the Edit button to open Edit Symbols dialog.

3)

Select a font from the Font: drop-down list.

4)

Select a symbol character that you want to add from the preview box. You may have toscroll down in the preview box to locate the symbol you want to use. The right preview box
above the Add button displays the new symbol.

5)

In the Symbol: box, type a memorable name for the symbol you are adding.

6)

In the Symbol set: box, select a symbol set from the drop-down list to add your new
symbol to, or type a new name to create a new symbol set for your new symbol.

7)

If required, select a font style from the Style: drop-down list – Standard, Italic, Bold, orBold Italic.

8)

Click Add, then click OK to close the Edit Symbols dialog. The new symbol and, if created,
new symbol set are now available for use.

Figure 19: Symbol dialog

48| Math Guide Version 6.2

in the Tools

Figure 20: The Edit Symbols dialog

Note
When a new symbol is added to the catalog, you can type a percentage sign (%)
followed by the new name into the markup language in the Formula Editor and yournew symbol will appear in your formula. Remember that symbol names are casesensitive, for example, %prime is a different symbol to %Prime.

Note
There are numerous free fonts available that contain several symbols if you cannot
find a symbol to use in the fonts already installed on your computer. For example, the
STIX font was developed specially for writing mathematical and technical texts. Also,
the DejaVu and Lucida fonts have a wide range of symbols that you can use.

Math Guide Version 6.2 | 49

Note
When LibreOffice is installed on a computer, only those user-defined symbols that
actually occur in the document are stored with it. Sometimes it is useful to embed all
the user-defined symbols, so that when the document is transferred to anothercomputer it can be edited by another person. Go to Tools > Options > LibreOfficeMath > Settings, uncheck the option Embed only used symbols (smaller file size).This
setting is only available when you are working with LibreOffice Math.

Editing symbols
Modifying symbol names
You can change the name of a symbol as follows:1)

Select the symbol name you want to change from the Old symbol: drop-down list. The
symbol appears in the left preview pane at the bottom of the Edit Symbols dialog (Figure
20).

2)

Type a new name for the symbol in the Symbol: text box, or select a new name from theSymbol: drop-down list. The new symbol name appears above the right preview pane at
the bottom of the Edit Symbols dialog.

3)

Click Modify and the symbol name is changed.

4)

Click OK to close the Edit Symbols dialog.

Moving symbols
You can move a symbol from one symbol set to another as follows:1)

In the Old symbol set: drop-down list, select the symbol set where the symbol you want tomove is located.

2)

Select the symbol name you want move from the Old symbol: drop-down list. The symbol
appears in the left preview pane at the bottom of the Edit Symbols dialog (Figure 20).

3)

In the Symbol set: drop-down list, select the symbol set that you want to move the symbol
to. The new symbol set name appears below the right preview pane at the bottom of theEdit Symbols dialog.

4)

Click Modify and the symbol is moved to the new symbol set.

5)

Click OK to close the Edit Symbols dialog.

Deleting symbols
You can delete a symbol from a symbol set as follows:1)

In the Old symbol set: drop-down list, select the symbol set from which you want to delete
the symbol.

2)

Select the symbol name you want delete from the Old symbol: drop-down list. The symbol
appears in the left preview pane at the bottom of the Edit Symbols dialog (Figure 20).

3)

Click Delete and the symbol is deleted from the symbol set without any confirmation.

4)

Click OK to close the Edit Symbols dialog.

Note
The only way you can delete a symbol set is by deleting all of the symbols in that set.
When you delete the last symbol from a set, the set is also deleted.

50| Math Guide Version 6.2

Options for editing symbols•

Old symbol – select the name of the current symbol. The symbol, the name of the symbol,
and the set that the symbol belongs to are displayed in the left preview pane at the bottomof the Edit Symbols dialog.

•

Old symbol set – this list box contains the name of the current symbol set. You can also
select a different symbol set using this list box.

•

Symbol – lists the names for the symbols in the current symbol set. Select a name from thelist or type a name for a newly added symbol.

•

Symbol set – this list box contains the names of all existing symbol sets. You can modify asymbol set or create a new one.

•

Font – displays the name of the current font and enables you to select a different font.

•

Subset – if you selected a non-symbol font in the Font list box, you can select a Unicode
subset in which to place your new or edited symbol. When a subset has been selected, allsymbols belonging to this subset of the current symbol set are displayed in the Symbol list.

•

Style – the current style of font is displayed. You can change the font style by selecting one
from the list box.

•

Add – click this button to add the symbol shown in the right preview window to the current
symbol set. It will be saved under the name displayed in the Symbol list. You must specify
a name under Symbol or Symbol set to be able to use the Add button. Names cannot be
used more than once.

•

Modify – click this button to replace the name of the symbol shown in the left preview
window (the old name is displayed in the Old symbol list) with the new name you haveentered in the Symbol list.

•

Delete – click this button to remove the symbol shown in the left preview window from thecurrent symbol set. There will be confirmation of deletion. Deleting the last remaining
symbol of a symbol set also deletes the symbol set.

•

Cancel – click this button at any time to close the dialog without saving any of the changes.

Formula spacing
The grave accent (`) inserts an additional small space and the tilde (~) inserts an additional large
space into formulas. However, in the basic installation of LibreOffice, these symbols are ignored
when they occur at the end of a formula. If you are working with running text in a formula, it may benecessary to include spacing at the end of formulas as well. This customization is only required
when you are working with a Math document and is not required when you are inserting a formula
into another LibreOffice module.
To add spacing at the end of formula in Math, go to Tools > Options > LibreOffice Math >Settings on the main menu bar and uncheck Ignore ~ and ` at the end of the line in the
Miscellaneous Options section.

Extensions
If you create formulas frequently in your documents, you can customize LibreOffice by adding
extensions that are designed to help you create formulas. Extensions are easily installed using the
Extension Manager. For more information on how to install extensions, see the Getting Started
Guide.
One extension that is recommended for installation is Dmaths. This extension is designed for use
in Writer and adds a mathematical macro package providing five toolbars for creating formulas. For
more information on this extension, go to the website http://www.dmaths.org.
Math Guide Version 6.2 | 51

Second extension that is recommended for installation is Formatting of All Math Formulas. It
allows to format all Math formulas in your Writer, Calc, Draw or Impress document. You'll canchange font and font size for all formulas or only for selected formulas. For more information on
this extension go to https://extensions.libreoffice.org/extensions/formatting-of-all-math-formulas.

52| Math Guide Version 6.2

Math Guide

Chapter 5
Exporting & ImportingMath ML format
In addition to exporting documents as PDFs, as described in the Getting Started Guide, LibreOfficeoffers the possibility of exporting formulas in the MathML format. This allows you or another person
to insert formulas into documents that were created in other software, for example, Microsoft Officeor an internet browser.

Note
Some internet browsers do not fully support the MathML format and your formula may
not display correctly.
If you are working on a Math document, go to File > Save as on the main menu bar or use the
keyboard combination Ctrl + Shift + S to open the Save as dialog. Select MathML from the list ofavailable file formats in File type: to save your formula as MathML.
If you are working in another LibreOffice module, right-click on the formula object and select Save
copy as from the context menu to open the Save as dialog. Select MathML from the list ofavailable file formats in File type: to save your formula object as MathML.
In the Math you can import MathML formula also. Use main menu Tools > Import MathML fromclipboard for this.

Microsoft file formats
To control how formulas in Microsoft format are imported and exported using LibreOffice, go toTools > Options > Load/Save > Microsoft Office on the main menu bar and select or deselectthe options for MathType to LibreOffice Math or reverse.
•[L]: Load and convert the object•[S]: Convert and save the object[L]: Load and convert the object
Select this option if Microsoft OLE objects are to be converted into the specified LibreOffice OLE
object when a Microsoft document is opened in LibreOffice. For formulas, any embedded
MathType objects must not exceed the MathType 3.1 specifications to be successfully loaded andconverted. Information on MathType format can be found on the website http://www.dessci.com/en.
If a document containing OMML formulas has been saved in .docx format and then converted tothe older .doc format, then any OMML objects are converted into graphics, which will be displayedin LibreOffice as graphics.

[S]: Convert and save the object
Select this option if LibreOffice OLE objects are to be converted and saved in Microsoft file format.
LibreOffice converts any formulas into a format that can be read and modified by Microsoft
Equation Editor and MathType.
When this option is not selected, the formula is treated as an OLE object on conversion into a.doc format and remains linked to LibreOffice. A double-click on the object in Microsoft Office willattempt to launch LibreOffice.

54| Math Guide Version 6.2

Math Guide

Appendix A
Commands Reference[S]: Convert and save the object | 55

Introduction
This appendix lists all the operators and commands that are available for use in the Formula Editor
when you are creating your formulas.
The more common operators and commands can be entered by clicking on the appropriate icon in
the Elements Dock. Where there is no icon displayed in the following tables for the Elements Dock,then you have to enter the operator or command into the Formula Editor using markup language.

Note
In the markup language shown in the following tables, you have to replace the place
holder <?> with the value you want to use in your formulas.

Unary/binary operator commands
To access the icons used for entering markup language for unary/binary operator commands into
the Formula Editor, select Unary/Binary Operators from the drop-down list at the top of the
Elements Dock.
ExampleformulaOperation

Markup language

Plus

+

+1

Minus

-

−1

Plus/minus+- or plusminus±1

Minus/plus-+ or minusplus∓1

Addition<?> + <?>

A +B

Subtraction<?> - <?>

A−B

Multiplication (Dot)<?> cdot <?>A⋅B

Multiplication<?> times <?>A×B

Multiplication (*)<?> * <?>A∗B

Division (Fraction){<?>} over {<?>}A
B

Division<?> div <?>A÷B

Division (Slash)<?> / <?> or <?> slash <?>A/B

56 | Unary/binary operator commands

Elements
Dock

ExampleformulaOperation

Markup language

Division (Wideslash){<?>} wideslash {<?>}

Division (Counter
Wideslash)<?> widebslash <?>Concatenate<?> circ <?>A∘B

Boolean NOT

neg <?>¬A

Boolean AND<?> and <?> or <?> & <?>A∧B

Boolean OR<?> or <?>A∨B

Backslash<?> bslash <?>A ∖B

Slash in circle<?> odivide <?>A⊘B

Small multiply symbol incircle<?> odot <?>A⊙B

Subtract symbol in circle<?> ominus <?>A⊖B

Add symbol in circle<?> oplus <?>A⊕B

Multiply symbol in circle<?> otimes <?>A⊗B

User defined binary operator<?> boper ????? <?>monOp B

User defined unary operator<?> uoper ????? <?>A monOp B

Elements
Dock

A
B
B
A

Relation commands
To access the icons used for entering markup language for relations commands into the Formula
Editor, select Relations from the drop-down list at the top of the Elements Dock.
ExampleformulaOperation

Markup language

Is equal<?> = <?>

A=B

Is not equal<?> <> <?> or <?> neq <?>A≠B

Is less than<?> < <?> or <?> lt <?>A <B

Elements
Dock

Relation commands | 57

ExampleformulaOperation

Markup language

Is less than or equal to<?> <= <?>A≤B

Is less than or equal to<?> leslant <?>A⩽B

Is greater than<?> > <?> or <?> gt <?>A >B

Is greater than or equal to<?> >= <?>A≥B

Is greater than or equal to<?> geslant <?>A⩾B

Is much less than<?> << <?> or <?> ll <?>A ≪BIs much greater than<?> >> <?> or <?> gg <?>A ≫B

Is approximately equal<?> approx <?>A≈B

Is similar to<?> sim <?>A∼B

Is similar to or equal<?> simeq <?>A≃B

Is congruent to<?> equiv <?>A≡B

Is proportional to<?> prop <?>A∝B

Is parallel to<?> parallel <?>A∥B

Is orthogonal to<?> ortho <?>A⊥B

Divides<?> divides <?>A∣B

Does not divide<?> ndivides <?>A ∤BToward<?> toward <?>A →B

Double arrow left<?> dlarrow <?>A⇐B

Double arrow left and right<?> dlrarrow <?>A⇔B

Double arrow right<?> drarrow <?>A ⇒B

Precedes<?> prec <?>A≺B

58 | Relation commands

Elements
Dock

Operation

Markup language

ExampleformulaSucceeds<?> succ <?>A≻B

Precedes or equal to<?> preccurlyeq <?>A≼B

Succeeds or equal to<?> succcurlyeq <?>A≽B

Precedes or equivalent to<?> precsim <?>A≾B

Succeeds or equivalent to<?> succsim <?>A≿B

Not precedes<?> nprec <?>A⊀B

Not succeeds<?> nsucc <?>A⊁B

Definition<?> def <?>A≝B

Corresponding symbol
image of<?> transl <?>A⊷B

Corresponding symbol
original of<?> transr <?>A⊶B

Elements
Dock

Set operation commands
To access the icons used for entering markup language for set operation commands into the
Formula Editor, select Set Operations from the drop-down list at the top of the Elements Dock.
ExampleformulaOperation

Markup language

Is in<?> in <?>A ∈B

Is not in<?> notin <?>

A ∉B

Owns

<?> owns <?> or <?> ni <?>A∋BIntersection<?> intersection <?>

A∩B

Union

<?> union <?>A∪B

Difference<?> setminus <?> or<?> bslash <?>A ∖B

Elements
Dock

Set operation commands | 59

Operation

Markup language

ExampleformulaQuotient set (slash)between characters<?> slash <?>A/B

Subset<?> subset <?>A⊂B

Subset or equal to<?> subseteq <?>A⊆BSuperset<?> supset <?>A⊃B

Superset or equal to<?> supseteq <?>A⊇B

Not subset<?> nsubset <?>A⊄B

Not subset or equal to<?> nsubseteq <?>A⊈B

Not superset<?> nsupset <?>A⊅B

Not superset or equal to<?> nsupseteq <?>A⊉B

Empty set

emptyset∅

Aleph (cardinal numbers)

aleph

ℵ

Natural numbers set

setN

ℕ

Integers set

setZ

ℤ

Set of rational numbers

setQ

ℚ

Real numbers set

setR

ℝ

Complex numbers set

setC

ℂ

Elements
Dock

FunctionsTo access the icons used for entering markup language for function commands into the Formula
Editor, select Functions from the drop-down list at the top of the Elements Dock.
Operation

Markup language

Absolute valueabs{<?>}

60 | Functions

Exampleformula|A|

Elements
Dock

ExampleformulaOperation

Markup language

Factorialfact{<?>}A!

Square rootsqrt{<?>}√A

Nth root

nroot{<?>}{<?>}

A

Power

<?>^{<?>}A

Natural exponential function

func e^{<?>}e

Natural logarithmln(<?>)ln ( A)

Exponential function

exp(<?>)

exp( A)

Logarithmlog(<?>)

log( A)Sinesin(<?>)

sin( A)

Cosinecos(<?>)cos ( A)

Tangenttan(<?>)tan( A)

Cotangentcot(<?>)cot ( A)

Hyperbolic sinesinh(<?>)

sinh ( A)Hyperbolic cosinecosh(<?>)

cosh ( A)Hyperbolic tangent

tanh(<?>)

tanh ( A )Hyperbolic cotangentcoth(<?>)

coth( A)

Inverse sine or arcsine

arcsin(<?>)

arcsin ( A)Inverse cosine or arccosine

arccos(<?>)

arccos ( A)Inverse tangent or
arctangent

arctan(<?>)

arctan ( A)Inverse cotangent or
arccotangent

arccot(<?>)

arccot ( A )Elements
Dock

√B
B

A

Functions | 61

ExampleformulaOperation

Markup language

Inverse or area hyperbolic
sine

arsinh(<?>)

arsinh ( A )Inverse or area hyperbolic
cosinearcosh(<?>)

arcosh ( A)Inverse or area hyperbolic
tangent

artanh(<?>)

artanh ( A)Inverse or area hyperbolic
cotangentarcoth(<?>)

arcoth ( A)

Back epsilon

backepsilon∍

Subscript<?> sub <?>AB

Elements
Dock

Operators
To access the icons used for entering markup language for operator commands into the Formula
Editor, select Operators from the drop-down list at the top of the Elements Dock.
ExampleformulaOperation

Markup language

Limeslim <?>lim A

Limes subscript bottom

lim from{<?>} <?>lim B

Limes superscript top

lim to{<?>} <?>lim B

Limes sup/sub script

lim from{<?>} to{<?>} <?>

lim C

A

A

B
A

Limes inferiorliminf <?>lim inf A

Limes superiorlimsup <?>lim sup A

Sum

sum <?>∑a62 | Operators

Elements
Dock

Operation

Markup language

Sum subscript bottom

sum from{<?>} <?>Sum superscript top

sum to{<?>} <?>Sum sup/sub script

sum from{<?>} to{<?>} <?>ExampleformulaElements
Dock

∑B
A

A

∑B
B

∑C
A

Product

prod <?>∏A

Product subscript bottom

prod from{<?>} <?>∏B

Product superscript top

prod to{<?>} <?>Product sup/sub script

prod from{<?>} to{<?>} <?>

A

A

∏B
B

∏C
A

Coproduct

coprod <?>∐A

Coproduct subscript bottom

coprod from{<?>} <?>∐B

Coproduct superscript top

coprod to{<?>} <?>∐B

Coproduct sup/sub script

coprod from{<?>} to{<?>}
<?>

∐C

A

A

B
A

Operators | 63

ExampleformulaOperation

Markup language

Integralint <?>∫A

Integral subscript bottom

int from{<?>} <?>∫B

Integral superscript top

int to{<?>} <?>

A

A

∫B
B

Integral sup/sub script

int from{<?>} to{<?>} <?>∫C
A

Double integral

iint <?>∬A

Double integral subscript
bottomiint from{<?>} <?>∬B

Double integral superscript
top

iint to{<?>} <?>Double integral sup/sub
scriptiint from{<?>} to{<?>} <?>Triple integral

iiint <?>

∭A

Triple integral subscript
bottomiiint from{<?>} <?>∭B

Triple integral superscript
topiiint to{<?>} <?>64 | Operators

A

A

∬B
B

∬C
A

A

A

∭B

Elements
Dock

ExampleformulaOperation

Markup language

Triple integral sup/sub script

iiint from{<?>} to{<?>}<?>∭C

Curve integral

lint <?>∮A

Curve integral subscript
bottomlint from{<?>} <?>∮B

Curve integral superscript
top

lint to{<?>} <?>Elements
Dock

B

A

A

A

∮B
B

Curve integral sup/sub script

lint from{<?>} to{<?>} <?>∮C
A

Double curve integral

llint <?>

∯A

Double curve integral
subscript bottom

llint from{<?>} <?>∯B

Double curve integral
superscript top

llint to{<?>} <?>Double curve integral
sup/sub script

llint from{<?>} to{<?>}<?>∯C

Triple curve integral

lllint <?>∰A

Triple curve integral
subscript bottom

lllint from{<?>} <?>

∰B

A

A

∯B
B

A

A

Operators | 65

Operation

Markup language

Triple curve integral
superscript top

lllint to{<?>} <?>Triple curve integral sup/sub
scriptlllint from{<?>} to{<?>}<?>

ExampleformulaElements
Dock

A

∰B
B

∰C
A

Note
For customized operators, use the command oper followed by your custom operator.
1

For example, entering oper OP from 0 to 1 A will give the formula

A .
OP
0

Attributes
To access the icons used for entering markup language for attribute commands into the Formula
Editor, select Attributes from the drop-down list at the top of the Elements Dock, or click the
Attributes icon in the Elements dialog.
ExampleformulaOperation

Markup language

Acute accent

acute <?>ÁGrave accent

grave <?>

À

Breve

breve <?>Ă

Circlecircle <?>

Å

Dot

dot <?>

Ȧ

Double dot

ddot <?>

Ä

Triple dot

dddot <?>⃛A

Line above

bar <?>

Ā

66 | Attributes

Elements
Dock

ExampleformulaOperation

Markup language

Vector arrow

vec <?>

⃗
A

Tilde

tilde <?>~A

Circumflex

hat <?>A^

Reverse circumflex

check <?>Ǎ

Large vector arrow

widevec {<?>}⃗
AB

Large tilde

widetilde {<?>}~
AB

Large circumflex

widehat {<?>}^AB

Line overoverline {<?>}AB

Line below

underline {<?>}AB

Line throughoverstrike {<?>}

AB

Transparent (blankplaceholder to create space)phantom {<?>}

Bold fontbold <?>

AB

Not bold fontnbold <?>

AB

Italic fontital <?> or italic <?>AB

Not italic fontnitalic <?>AB

Resizesize <?> {<?>}

AB

Change font

font <?> {<?>}AB

Color blackcolor black {<?>}AB

Color blue

color blue {<?>}AB

Color green

color green {<?>}AB

Elements
Dock

Attributes | 67

Operation

Markup language

ExampleformulaColor redcolor red {<?>}AB

Color cyancolor cyan {<?>}AB

Color magenta

color magenta {<?>}AB

Color yellow

color yellow {<?>}AB

Color graycolor gray {<?>}AB

Color lime

color lime {<?>}AB

Color maroon

color maroon {<?>}AB

Color navycolor navy {<?>}AB

Color olive

color olive {<?>}AB

Color purple

color purple {<?>}AB

Color silver

color silver {<?>}AB

Color tealcolor teal {<?>}AB

Elements
Dock

Note
The font command changes the font type The first placeholder is replaced with thename of the font and the second placeholder is replaced with your formula values ortext. The default fonts you can use are Serif, Sans, or Fixed. If you have added custom
fonts to Math (see Chapter 1 Creating & Editing Formulas), then you can replace thefirst placeholder with the custom font name.

Brackets
To access the icons used for entering markup language for bracket commands into the Formula
Editor, select Brackets from the drop-down list at the top of the Elements Dock.
Operation

Markup languageGroup brackets (notdisplayed in formula){<?>}

68 | Brackets

ExampleformulaAB

Elements
Dock

ExampleformulaOperation

Markup language

Round brackets

(<?>)

( AB)

Left round bracket only

\(<?>

(A

Right round bracket only

<?>\)

A)

Square brackets

[<?>]

[ AB]

Left square bracket only

\[<?>

[A

Right square bracket only

<?>\]

A]

Double square brackets

ldbracket <?> rdbracket⟦ AB⟧

Left double square bracket
only\ldbracket <?>⟦A

Right double square bracket
only<?> \rdbracket

A⟧

Braceslbrace <?> rbrace{AB}

Left brace only

\lbrace <?>{A

Right brace only<?> \rbraceA}

Angle brackets

langle <?> rangle⟨ AB ⟩Left angle bracket only

\langle <?>⟨A

Right angle bracket only<?> \rangle

A⟩

Operator brackets

langle <?> mline <?>rangle⟨ AB|CD ⟩Ceiling (upper half square
brackets)

lceil <?> rceil⌈ AB⌉

Left ceiling only

\lceil <?>⌈A

Right ceiling only<?> \rceilA⌉

Floor (lower half square
brackets)

lfloor <?> rfloor⌊ AB⌋

Elements
Dock

Brackets | 69

Operation

Markup language

ExampleformulaLeft floor only

\lfloor <?>⌊A

Right floor only<?> \rfloor

A⌋

Single lines

lline <?> rline|AB|

Left single line only

\lline <?>|A

Right single line only<?> \rline

A|

Double lines

ldline <?> rdline‖AB‖

Left double line only

\ldline <?>‖A

Right double line only<?> \rdlineA‖

Scalable round brackets

left ( <?> right )( BA )

Scalable left round bracket
onlyleft ( <?> right none

( BA

Scalable right round bracket
onlyleft none <?> right )A
B

Scalable square brackets

left [ <?> right ][ ]Scalable left square bracket
onlyleft [ <?> right none[

Scalable right square
bracket only

left none <?> right ]A
B

Scalable double square
brackets

left ldbracket <?> rightrdbracket⟦ ⟧Scalable left double square
bracket only

left ldbracket <?> rightnone⟦

Scalable right double square
bracket only

left none <?> rightrdbracket

AB

70 | Brackets

)

A
B

A
B

]

A
B

A
B

⟧

Elements
Dock

ExampleformulaOperation

Markup language

Scalable braces

left lbrace <?> rightrbrace{ AB }

Scalable left brace only

left lbrace {<?>} right
none

{ AB

Scalable right brace only

left none {<?>} rightrbraceA
B

Scalable angle brackets

left langle <?> right
rangle⟨ ⟩Scalable left angle bracket
onlyleft langle {<?>} rightnone⟨

Scalable right angle bracket
onlyleft none {<?>} right
rangleA
B

Scalable operator brackets

left langle <?> mline <?>right none⟨| ⟩Scalable left operator
bracketleft langle <?> mline <?>right none

Scalable right operator
bracketleft none <?> mline <?>right rangle⟨|| ⟩Scalable ceiling (upper halfsquare brackets)left lceil <?> right
rceil

⌈ ⌉

Scalable left ceilingleft lceil <?> right none⌈

Scalable right ceilingleft none <?> right rceil

A
B

Scalable floor (lower halfsquare brackets)left lfloor <?> rightrfloorAB⌊ ⌋Scalable left floor

left lfloor <?> rightnone⌊

Elements
Dock

}

A
B

A
B

⟩

A C
B D

A C
B D

A C
B D
A
B

A
B

⌉

A
B

Brackets | 71

ExampleformulaOperation

Markup language

Scalable right floor

left none <?> rightrfloorA
B

Scalable single lines

left lline <?> rightrline| AB |

Scalable left single line

left lline <?> right none

| AB

Scalable right single line

left none <?> right rline

A
B

Scalable double lines

left ldline <?> rightrdline‖ BA ‖

Scalable left double line

left ldline <?> right
none

‖ BA

Scalable right double line

left none <?> rightrdlineA
B

Scalable top brace{<?>} overbrace {<?>}

Scalable bottom brace{<?>} underbrace {<?>}

Elements
Dock

⌋

|

‖

D

⏞
ABC
ABC
⏟
D

Formats
To access the icons used for entering markup language for format commands into the Formula
Editor, select Formats from the drop-down list at the top of the Elements Dock.
ExampleformulaOperation

Markup language

Power (superscript right)<?>^{<?>} or <?>sup{<?>} or<?>rsup{<?>}

20

Subscript right<?>_{<?>} or <?>sub{<?>} or<?>rsub{<?>}

2010

Superscript left<?>lsup{<?>}

72 | Formats

10

10

20

Elements
Dock

ExampleformulaOperation

Markup language

Subscript left<?>lsub{<?>}

Superscript center<?>csup{<?>}

20

Subscript center<?>csub{<?>}

20

New line

newline123
CD

Small gap`

123 456

Blank or large gap~

123 456

No space (suppresses
space between elements)

nospace {<?>}

12+4+5

Align leftalignl <?>ABC
D

Align centeralignc <?>ABC
D

Align rightalignr <?>ABC
D

Vertical stack (2 elements)

binom{<?>}{<?>}

AB
12

Vertical stack (more than 2elements)

stack{<?> # <?> # <?>}

AB
12
CD

Matrix stackmatrix{<?> # <?> ## <?> #
<?>}

AB 12
34 CD

10

Elements
Dock

20

10

10

Formats | 73

Note
By default, text characters are aligned to the center in a formula. Use the alignl andalignr commands to align text characters in a formula to the left or right when aformula has more than one line. You can also use the align commands in conjunction
with the stack commands to align multi-line formulas on a specific formula element, forexample, the equals sign (=).

OthersTo access the icons used for entering markup language for other commands into the Formula
Editor, select Others from the drop-down list at the top of the Elements Dock, or click the Others
icon in the Elements dialog.
ExampleformulaOperation

Markup language

Placeholder<?>

Infinity

infinity or infty∞

Partial derivative or set
marginpartial∂Nabla vector operator

nabla

∇

Existential quantifier, there
is at least one

exists∃Existential quantifier, there
does not exist

notexists∄

Universal quantifier, for all

forall∀H-bar constant

hbar

ℏ

Lambda bar

lambdabarƛReal part of a complex
numberreℜ

Imaginary part of a complex
numberimℑ

Weierstrass p function

wp℘

Left arrowleftarrow←

74 | Others

Elements
Dock

ExampleformulaOperation

Markup language

Right arrowrightarrow→

Up arrow

uparrow↑

Down arrow

downarrow↓

Ellipsis

dotslow…

Math axis ellipsis

dotsaxis⋯

Vertical ellipsis

dotsvert⋮

Upward diagonal ellipsis

dotsup or dotsdiag⋰

Downward diagonal ellipsis

dotsdown⋱

Back epsilon

backepsilon∍

Elements
Dock

Greek characters
Greek characters are normally entered into a formula using the Symbols dialog (see Chapter 1
Creating & Editing Formulas for more information). However, if you know the name of the Greek
character, you can type a percentage sign (%) followed by the name of the Greek character into
the Formula Editor.
For uppercase Greek characters, type the name using uppercase characters, for example %BETA
Β (see Table 3 for a full list of uppercase Greek characters). For lowercase Greek characters,
type the name using lowercase characters, for example %beta β (see Table 4 for a full list oflowercase Greek characters)
Italic Greek characters can also be entered into a formula by typing the character i after thepercentage sign (%) and before the name of the Greek character, for example, %iPI Π foruppercase and %ipi for lowercase π . See Table 5 for a full list of italic uppercase Greek
characters and Table 6 for a full list of italic lowercase Greek characters.

Note
In localized versions of LibreOffice, the names of Greek characters are also localized.
If a document is not localized to the same language, then the names of Greek
characters in the following tables may not work correctly. If this happens, you can use
the Symbols dialog to select the required Greek character. When selected in the
Symbols dialog, the name of the Greek character is displayed at the bottom of the
Symbols dialog in the correct language. See Chapter 1 Creating & Editing Formulas
for more information on Greek characters and the Symbols dialog.

Greek characters | 75

Table 3: Uppercase Greek characters
Α %BETA%ALPHAΒ%GAMMAΓ%DELTAΔ%EPSILON

Ε

%ZETA

Ζ

%ETA

Η

%THETA

Θ

%IOTA

Ι

%KAPPAΚ%LAMBDA

Λ

%MU

Μ

%NU

Ν

%XI

Ξ

%OMICRON

Ο

%PI

Π

%RHO

Ρ

%SIGMAΣ%TAUΤ%UPSILON

Υ

%PHI

Φ

%CHI

Χ

%PSI

Ψ

%OMEGAΩβ%gammaγ%delta

δ

ζ
κ

%eta

η

%theta%lambda%mu%omicron

λ
ο

θ
μ

%pi

π

%sigmaσ%tauτTable 4: Lowercase Greek charactersα%alpha%beta%varepsilon

ε

%zeta

%iota

ι

%kappa

%nu

ν

%xi

%rho

ρ

%varsigmaξς%upsilonυ%varphi

φ

%chi

χ

%psi

ψ

%omegaω%vartheta%phi

ϕ%varpiϖ%varrhoϱ%epsilonϑϵTable 5: Uppercase italic Greek characters
Α %iBETA%iALPHAΒ%iGAMMA

Γ%iDELTAΔ

Ε%iZETA

Ζ

%iETA

Η

%iTHETA%iKAPPAΚ%iLAMBDA

Λ

%iMU

Μ

%iEPSILON%iIOTA
%iNU

Ν

%iXI

Ξ

%iOMICRON

Ο

%iPI

Π

%iRHO

Ρ

%iSIGMA

Σ

%iTAU

Τ

%iUPSILON

Υ

%iPHI

Φ

%iCHI

Χ

%iPSI

Ψ

%iOMEGAΩβ%igammaγ%idelta

δ

ζ
κ

%ieta

η

%itheta%ilambda%imu%iomicron

λ
ο

θ
μ

%ipi

π

%isigma

σ

%itau

τ

Table 6: Lowercase italic Greek charactersα%ialpha%ibeta%ivarepsilon

ε%izeta%iiotaι%ikappa

%inu

ν

%ixi

%irho

ρ

%ivarsigmaξς%iupsilonυ%ivarphi

φ

%ichi

χ

%ipsi

ψ

%iomegaω%ivartheta

%iphi

ϕ

%ivarpiϖ%ivarrhoϱ%iepsilonϑϵ76 | Greek characters

Special characters | 77

Special characters
Special characters are normally entered into a formula using the Symbols dialog (see Chapter 1
Creating & Editing Formulas for more information). However, if you know the name of the special
character, you can type a percentage sign (%) followed by the name of the special character into
the Formula Editor. Table 7 Shows the full list of special characters that are available in LibreOffice.

Note
In localized versions of LibreOffice, the names of special characters are also localized.
If a document is not localized to the same language, then the names of special
characters in the following table may not work correctly. If this happens, you can use
the Symbols dialog to select the required special character. When selected in the
Symbols dialog, the name of the special character is displayed at the bottom of the
Symbols dialog in the correct language. See Chapter 1 Creating & Editing Formulas
for more information on special characters and the Symbols dialog.
Table 7: Special characters%element∈%infinite→∞%angle

∢

∧

%or

∨

%notequal≠≡%strictlylessthan≪%strictlygreaterthan≫%perthousand‰%tendto%noelement∉%and%identical

Reserved words
A reserved word is a word that is used by LibreOffice as a command in the Math markup language
and it cannot be used as a variable name or entered into a formula as text. However, if you want touse a reserved word as text in a formula then you must place the reserved word between double
quotes.
For example, you want to use the word “purple” in a formula, but do not want the formula elements
to be changed to the color purple. If you simply type A purple B in the Formula Editor, theresulting formula is A ¿ B , which is incorrect and the error is shown by the upside question mark.
To correct this error, type A "purple" B in the Formula Editor using double quotes each side of
the word purple and the resulting correct formula is A purple B .
The reserved words used in Math are listed in the above tables for commands in markup language.

78 | Reserved words