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Mandelbrot set based logo proposal 1. Fractal image generated in XaoS 3.2; cropped and text added in the GIMP 2.4.2. The font is DejaVu Sans 2.21. All software running in Gentoo Linux 1.12.11.1. Creator: User:dcljr. See Project:Logo for more information. Category:Images Category:PNG images Category:Icons and logos
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<mainpage-leftcolumn-start /> Welcome to the Math Wiki! We are currently working on articles in the English-language. There are also companion wikis in other languages under development. Please support this project by adding content in whichever language you feel most comfortable. You need to read the Rules, Manual ...
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The undefined terms in logic are statement, true, and false. Definitions An axiom is a statement that is accepted to be true without proof. A proof is a logical argument made to verify the truth of a statement. A theorem is a statement that has been demonstrated to be true by method of proof. A lemma is a theorem that...
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An axiom is a statement that is accepted within one particular formal system as being true without requiring any proof. In a different formal system the same axiom may be considered to be false. Category:Foundations Category:Analysis
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frame|right|A right triangle with the squares of each side shown. The Pythagorean theorem posits that in any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of both legs. This is perhaps one of the most oft-proven theorems. The Pythagorean Proposition, a book published in 1...
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Please note that these guidelines are in the process of being developed and might not reflect community consensus. Article naming Article titles should be economical, in the sense that they should be the shortest, most straightforward way of referring to the subject matter of the article that still reflects common ...
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Number theory is one of the most elementary parts of mathematics and yet it is also one of the most subtle. Number theory started by focusing on integers and usually relies on statements regarding their properties. From this perspective, it is one level above set theory and logic. It is a foundation of mathematics a...
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/sandbox
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You can find out more details abou my person on the User page of the german math Wiki: Gallois at WikiMath
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Of the many wikis I have accounts on, I'm generally most active on the English Wikipedia (see also my user page over there). Discuss any edits I've made to this Mathematics Wikia on my talk page at this wiki. Mathematics credentials B.S. in Mathematics – Statistics Option, University of Houston M.S. in Statistics, T...
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This is the discussion page for an anonymous user who has not created an account yet or who does not use it. We therefore have to use the numerical IP address to identify him/her. Such an IP address can be shared by several users. If you are an anonymous user and feel that irrelevant comments have been directed at you,...
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Your user name or IP address has been blocked by $1. The reason given is this:$2You may contact $1 or one of the other administrators to discuss the block. Note that you may not use the "e-mail this user" feature unless you have a valid e-mail address registered in your user preferences. Your IP address is $3. Please...
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:Current events
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:Community_portal
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WARNING: This page has been locked so that only users with sysop privileges can edit it. Be sure you are following the page protection guidelines.
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es:User:Angelade:User:Angela
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__TOC__ Text moved from article The following text was moved here from the article. It was originally posted by . - dcljr 08:22, 5 August 2006 (UTC) I have recently started a blog that traces the history of number theory from the perspective of Fermat's Last Theorem (http://fermatslasttheorem.blogspot.com), I would ...
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__TOC__ Main Page talk As stated above, this page is now for discussing the Main Page only. Older discussion has been moved to Forum:Mathematics Wikia. - dcljr 07:56, 1 November 2008 (UTC) My own Wiki Hello! I've also got a Wiki (see here). Can you add it on your Main page? Thanks Dennyboy1997 10:30, March 28, ...
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The Peano axioms were proposed by Giuseppe Peano to derive the theory of arithmetic. Together, these axioms describe the set of natural numbers, , including zero. The axioms There exists a natural number zero (0). For each , there exists a natural number that is the successor of , denoted by . 0 is not the success...
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__TOC__ Naming conventions To facilitate inter-article linking, should we adopt "sentence" style page titles, where only the first word is capitalized (along with proper nouns, of course)? In other words, should we prefer Proof by contradiction over Proof by Contradiction? Note that the software automatically capitaliz...
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REDIRECT Definitions and axioms of logic
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REDIRECT Number theory
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—The preceding unsigned comment was added by (talk • contribs).
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__TOC__ Usage {{unsigned|username_or_IP_address}} Unlike the corresponding template at Wikipedia, upon which this template was based, this template doesn't use a second parameter for the date. - dcljr 11:59, 28 May 2006 (UTC)
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The links below were originally found at wikisource:Wikisource:Mathematics, then Wikisource:Mathematics at the English Wikisource, and then ultimately deleted from Wikisource altogether. Note that some of these links may have to be renamed to conform our current naming guidelines, or for the sake of clarity. Tables o...
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__TOC__ Wikisource histories Here are two page histories from and , whence the information I just moved to this project page came. Might be overkill, but we do use the GFDL here... (plus, maybe some of these Wikisource users could be persuaded to help recreate some of this stuff in this Wikia). - dcljr 09:12, 31 May...
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The following pages deal with policy matters. They should all be in the Mathematics: namespace. Category:Browse Category:Project pages
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Please see the Central Wikia privacy policy. Privacy policy
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Please see the Central Wikia general disclaimer. General disclaimer
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The Mathematics Wikia was founded in May 2005. It has much information about mathematics, and is sorted by educational level and topic. About
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These are pages in the Mathematics: namespace (and selected categories) that deal with the Mathematics Wikia itself. Category:Browse
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This is the top-most category for the mathematical content of this wiki. For pages in the Mathematics: namespace, please see :Category:Project pages. The top-most category for the entire wiki (where you can find templates, stubs, etc.) is :Category:Browse. Category:Browse
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What do you want help with? Mathematics For assistance with the subject of this wiki (mathematics), as opposed to the wiki itself: Forum:Mathematics help (ask questions of other users) Search or browse for articles Other resources Mathematics Wikia For general assistance with this wiki: About the Mathematics Wiki...
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These are pages in the Help: and Mathematics: namespaces that primarily provide help on different aspects of the wiki interface for readers and editors (as opposed to, say, policy matters tied more directly to this particular wiki). Most of the pages in the Help: namespace currently only direct readers to Help pages e...
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For help with... For example... Please see... General wiki markup Making links, lists, etc. WikimediaMeta:Help:Editing Mathematical markup Displaying a matrix, integral symbol, piecewise-defined function, etc. WikimediaMeta:Help:Displaying a formula Matters of style Naming of articles and categories, etc. Mathematics:...
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REDIRECT Mathematics:Current events
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Please see any of the following: Central Wikia News (not mathematics related) Topix.net Mathematics News National Science Foundation Mathematics News MathWorld Headline News Google News search for mathematics / math / maths Wikinews Science and Technology Portal Wikipedia Mathematics Portal Current events
-8,188,826,217,906,528,000
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What would you like to do? Read Edit Learn about this wiki About the Mathematics Wikia About Wikia (at Wikia's central wiki) Copyright information Browse or search the wiki Browse our categories Searching the wiki Browse our help pages Help:Contents Get more information about mathematics Mathematics Wikia in...
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REDIRECT Peano axioms
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REDIRECT Pythagorean theorem
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Mathematically speaking, Calculus is the study of change. It comes from the Latin word calculus, meaning small pebble. It comprises several related subfields of real analysis: Limit analysis — foundation of all of calculus. "The study of infinitesimals" Differential calculus — typically the main focus of the course...
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body { background-color: white; h1.firstHeading { font-size: 18pt; font-style: normal; font-weight: normal; color: black; div#content { background-color: white; div#content p { line-height:1.8em;
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REDIRECT User:Fredrik/monobook.css
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Differential calculus is a subset of calculus involving differentiation (that is, finding derivatives). It is often contrasted with integral calculus, and shouldn't be confused with differential equations. Topics covered include maxima and minima, optimization, and related rates. In high school or college calculus cou...
-5,454,437,568,814,083,000
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This is the template sandbox, which can be used alone or in conjunction with the main sandbox to try out ideas before making changes to an established template (any alteration of which will immediately be seen on any page that uses that template). You can edit this template in any way you wish, except please keep the f...
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Welcome to the sandbox. You can edit this page in any way you want (except please keep the first line intact) to try out editing ideas or to practice using wiki commands before making changes to established articles. Please note that changes made to this page may disappear at any time due to the edits of other users, ...
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The aim of this seminar is to introduce the theory of Schur functors, with an aim of being able to compute these in specific applications. Let $K$ be a commutative ring. We recall that the $n$-th tensor power $E^{\otimes n}$ of a module $E$ represents the functor sending a module $M$ to the set (in fact $K$-module) of...
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This is a list of partitions of natural numbers up to 8. The partitions are written with the terms in decreasing order, grouped by the number of terms required. Note that any natural number can be written as a "trivial sum" of one term: the integer itself. Including this trivial partition, the function giving the numbe...
-7,220,414,592,491,242,000
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This is currently a "catch-all" category for the templates used on this wiki. Eventually it will be split into subcategories. Category:Browse
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Pages and categories related to fixing "wiki errors" and/or general "wikifying" of existing article content. The table to the right, produced by using the template reference , can be used on User pages as a handy collection of maintenance related links. See the list below for important caveats about the special pages ...
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This category has been deprecated in favor of :Category:. Please move any articles that show up here into that category. Category:Category redirects Usage Example Examples of incorrect usage — wrong! (don't include "Category:") — wrong! (don't use a wikilink, either) Purpose This template is used to creat...
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These categories have been tagged with {{catredir}}, a "soft redirect" that points users to a more appropriate category. See that template for more information. This category should contain only other categories, no articles (except possibly for pages that ended up in the main namespace due to mistyping the word Categ...
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Please see Wikia:Licensing at the Central Wikia. Copyrights
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Def.  Usage Content of definition... Def Def Def
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A partition of a positive integer is a representation of that integer as the sum other positive integers . That is, . See the article "Partition (number theory)" in Wikipedia for additional information. Category:Number theory
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Here you can find the defenitions of mathematical words. Category:Mathematics
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REDIRECT Help:Mathematics
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thumb|250px|A definite integral shown as area under a function Integral calculus is a part of the field of calculus involving the concept of accumulation. The process of finding integrals (numerically or exactly) is a fundamental tool. It is often associated with differential calculus, as differentiation and integrati...
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A semester is a period of course instruction at the high school or college level, typically lasting anywhere from 5 to 15 weeks. Semesters are traditionally tied to seasons of the year. At the university level: The fall semester runs roughly from late August to mid December. The spring semester runs roughly from lat...
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Axiomatic development For a more extensive list, please see Number systems/Axiomatic development. Natural numbers Whole Numbers: All counting numbers together with 0 are called whole numbers. Integers Rational numbers Real numbers Complex numbers Hypercomplex numbers 0 is the smallest whole number and there is no larg...
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This page contains an extensive list of topics, axioms, definitions, and theorems in the topic of number systems. Natural numbers Peano axioms Peano arithmetic Addition Identity Commutative property Associative property Multiplication Distributive property Identity Commutative property Associative property Integers Rat...
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A number is a unit of quantity in mathematics. Some numbers include: Basic numbers and decimals Fractions Percentages Prime numbers Square numbers Surds Complex numbers There are lots of different types of numbers, like the natural numbers for example. The natural set is usually denoted as and contains every p...
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Image:Ma1.svg The actual principle of counting, adding, subtracting, multiplying and dividing is so complex it would take pages to describe, luckily we seem to be able to grasp it when we are young, and you probably know the basics anyway. Here we'll just look at a few basic principles. Adding 'Adam has 1 apple, 10 o...
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In this section we cover all information about shapes required at secondary school level. Symmetry Length, area and volume Translation, dilation, rotation and reflection Angles, parallels and circles Loci Pythagorean theorem Trigonometry Shapes, Sides Dimension Category:Geometry
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Algebra is one of the main branches of mathematics (along with geometry and analysis) encompassing the following areas of study: Elementary algebra — symbolic arithmetic and its application to solving equations Intermediate algebra — first study of functions, relations and graphs Abstract algebra — axiomatic study o...
-3,023,274,121,819,264,500
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Avital is organizing a small group of people with no formal mathematical backgroup to study certain topics via skype. The current active courses are: Avital's Number Theory There is a google group, meaning you can send e-mails to the entire group and bla bla bla. URL Google Group Website Email: avital-math@googlegr...
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Back to our group page Lesson Notes By Ayal, Yaniv, Ido and Lior Semester 1 Lesson 1 Notes Lesson 2 Notes Lesson 3 Notes Lesson 4 Notes Lesson 5 Notes Lesson 6 Notes Semester 2 Lesson 7 Notes Lesson 8 Notes Lesson 9 Notes Lesson 9 Notes Addendum - Divisibility of number by their decimal representation Lesson 10...
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talk talk atlk
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Welcome Dr. Reznikov. This is the future of mathematical assignments. You can even edit this page if you want to add comments, or general remarks on the 'discussion' link at the top. Question 1 Lemmas We will begin with a few lemmas: Lemma 1 If , an element is a square iff , where z is a quadratic residue (mod p...
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Avital's Group Avital's Assignment in Advanced Number Theory Booklet [[TeX help]]
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REDIRECT User:Avital/Avital's Assignment in Advanced Number Theory
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Introduction to mathematics is often the name given to a "first course" in mathematics at any level of schooling, but especially at the high-school or college level. The college-level course is usually taken by students whose majors lie outside of mathematics and the sciences. The curriculum often concentrates on topi...
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The mathematics taught at the university level (i.e., beginning at roughly age 17 or 18) typically runs the gamut from remedial pre-algebra courses to electives in advanced areas of active research. Mathematics majors are usually expected to enter college with a strong background of algebra and geometry, whereas non-m...
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REDIRECT Calculus classes
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Calculus classes are typically taught in two or three semesters. Typical two-semester sequence Typical three-semester sequenceFirst semester (Calculus I) Review of functions and graphs Limits Derivatives and differentiation Applications of differentiation Antiderivatives Integrals and integration Applications...
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Category:Mathematics
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Welcome to the Mathematics Wikia! You seem to be developing some kind of proof of concept at Avital's Assignment in Advanced Number Theory and certain other pages here. It would be great if you could move these to subpages of your user page (for example, User:Avital/Assignment in Advanced Number Theory) so we can keep...
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Arithmetic, usually studied throughout elementary school, deals with subsets of the real number system (whole numbers, integers, and so forth), along with the accompanying operations of arithmetic that may be applied to them. "Higher arithmetic" is sometimes used as another name for number theory. The number systems s...
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Category:Mathematics Category:Space
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REDIRECT Basic numbers and decimals
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__TOC__ Clean-up I've removed two topics that didn't appear to be about numbers, but actually about polynomials: "completing the square" and "trial and improvement", the latter of which I assume refers to the "guess and check" style of factoring a quadratic. - dcljr 00:45, 2 August 2006 (UTC) Number My name Number...
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REDIRECT Partition of an integer
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Elementary algebra consists largely of a review of the rules of arithmetic applied to variable expressions, including the rewriting of such expressions into simplest form, along with the application of those techniques to the solving of equations. As an academic subject, it is typically studied in secondary school (7th...
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REDIRECT Number systems
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End of preview. Expand in Data Studio

The Corpus Kirkensis

A humorous collage. A person stands in front of a background of blended colors similar to a camoufladged pattern. The person is holding two signs saying: "God Hates Kirk" and "Claude's Doom", respectively. They have something written on their blue shirt: "God Hates RAGs". They hold an uncanny resemblance to a famous atheist philosopher.|300

The Corpus Kirkensis is a dataset almost fully made up of Libre content, with its few probable non-permissively-licensed texts falling under the copyright exceptions for short matter-of-fact statement and mathematical formulas. It is intended to help address two issues in the LLM space: data provenance and the lack of interesting output generation. It is the anti-slopper's dataset.

It was not created with the intent to expand models' world knowledge or to provide them with factual information, and instead features texts that help generate incoherent, spiritualistic, and fiction-inspired noise. Many of its main sources are internet communities which engage in role-play or insist on pushing a counter-narrative in spite of logical flaws.

As this collection was created for experimentation in training tiny language models, it also contains some factual content, mainly mathematical papers and code, though it also features a small amount of content about numerology, as a treat.

Source credits

Community sources

This collection would not be possible without the hard work of communities who release the fruits of their collective efforts under the Creative Commons:

It would also not be possible without the morally reprehensible but entertaining work of the following:

Archival sources

The following archival sources were used:

Code sources

The following collections directly containing computer code were used:

For specific credits related to all the code in this collection, please verify their individual credits. GitHub repository names are also featured in our "Authors" field.

Size

How many tokens? How many tokens? I want tokens, how many tokens are there? How much data can I extract from this? If each token was a piece of paper how many trees could I kill? Can you please tell me how many tokens are in this dataset? My company is forcing me to tokenmaxx and I need to waste their money by doing text processing on a useless dataset so can you please tell me how many tokens there are?

A little more or less than 1 billion, depending on the specific vocabulary you're using.

Annotation credits

The following people were involved in the (admittedly light) effort of collection and annotation for this dataset:

Lopes, Cuo, Absol, Froge, Spooky, SL, and Ceg

Support this effort

Support the collection of more datasets like this by directly supporting the main annotator:

Support Lopes on Ko-Fi

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