OpenLLM-France/wikimedia huggingface dataset:
# Calculus/Quotient Rule

Quotient rule
There rule similar to the product rule for quotients. To prove it, we go to the definition of the derivative:
    ${\begin{aligned}{\frac {d}{dx}}{\frac {f(x)}{g(x)}}&=\lim _{h\to 0}{\frac {{\frac {f(x+h)}{g(x+h)}}-{\frac {f(x)}{g(x)}}}{h}}\\&=\lim _{h\to 0}{\frac {f(x+h)g(x)-f(x)g(x+h)}{hg(x)g(x+h)}}\\&=\lim _{h\to 0}{\frac {f(x+h)g(x)-f(x)g(x)+f(x)g(x)-f(x)g(x+h)}{hg(x)g(x+h)}}\\&=\lim _{h\to 0}{\frac {g(x){\frac {f(x+h)-f(x)}{h}}-f(x){\frac {g(x+h)-g(x)}{h}}}{g(x)g(x+h)}}\\&={\frac {g(x)f'(x)-f(x)g'(x)}{g(x)^{2}}}\end{aligned}}$
This leads us to the so-called "quotient rule":
* Derivatives of quotients (Quotient Rule)
* ${\frac {d}{dx}}\left[{f(x) \over g(x)}\right]={\frac {g(x)f'(x)-f(x)g'(x)}{g(x)^{2}}}\,\!$
Which some people remember with the mnemonic "low D-high minus high D-low (over) square the low and away we go!"

## Examples

The derivative of $(4x-2)/(x^{2}+1)$ is:
    ${\begin{aligned}{\frac {d}{dx}}\left[{\frac {(4x-2)}{x^{2}+1}}\right]&={\frac {(x^{2}+1)(4)-(4x-2)(2x)}{(x^{2}+1)^{2}}}\\&={\frac {(4x^{2}+4)-(8x^{2}-4x)}{(x^{2}+1)^{2}}}\\&={\frac {-4x^{2}+4x+4}{(x^{2}+1)^{2}}}\end{aligned}}$
Remember: the derivative of a product/quotient is not the product/quotient of the derivatives. (That is, differentiation does not distribute over multiplication or division.) However one can distribute before taking the derivative. That is ${\frac {d}{dx}}\left((a+b)\times (c+d)\right)={\frac {d}{dx}}\left(ac+ad+bc+bd\right)$
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# Calculus/References

* Lester R. Ford, Sr. & Jr. (1963) Calculus, McGraw-Hill via HathiTrust
* w:Mellen W. Haskell (1895) On the introduction of the notion of hyperbolic functions Bulletin of the American Mathematical Society 1(6):155–9.
* Table of Trigonometry
* Summation notation
* Tables of Derivatives
* Tables of Integrals
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# Calculus/Rational functions

Rational function is "any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials".
Definition. A function $f(x)$ is called a rational function if and only if it can be written in the form
    $f(x)={\frac {P(x)}{Q(x)}}$
where $P\,$ and $Q\,$ are polynomials in $x\,$ and $Q\,$ is not the zero polynomial. The domain of a function $f\,$ is the set of all points $x\,$ for which the denominator $Q(x)\,$ is not zero.
It can be proved that sum, product, and quotient (except division by the zero polynomial which will cause the function to be undefined) of rational functions are rational functions.

## Examples

$y={\frac {x^{3}-2x}{2(x^{2}-5)}}$
$y={\frac {x^{2}-3x-2}{x^{2}-4}}$
The rational function $f(x)={\frac {x^{3}-2x}{2(x^{2}-5)}}$ is not defined at $x^{2}=5\Leftrightarrow x=\pm {\sqrt {5}}$. It is asymptotic to $y={\frac {x}{2}}$, i.e. gets closer and closer to $y={\frac {x}{2}}$, as $x$ approaches positive or negative infinity.
The rational function $f(x)={\frac {x^{2}+2}{x^{2}+1}}$ is defined for all real numbers, but not for all complex numbers, since if $x$ were a square root of $-1$ (i.e. the imaginary unit or its negative), then formal evaluation would lead to division by zero: $f(i)={\frac {i^{2}+2}{i^{2}+1}}={\frac {-1+2}{-1+1}}={\frac {1}{0}}$, which is undefined.
Every polynomial function $f(x)=P(x)$ is a rational function with $Q(x)=1$. A function that cannot be written in this form, such as $f(x)=\sin(x)$, is not a rational function. The adjective "irrational" is not generally used for functions.

## Sketch a graph of a rational function

(1)Let's sketch the graph of $y={\frac {1}{x}}$. First, we must avoid $x=0$ because anything can not be divided by 0. Thus x should not be 0 in the equation. Now we just plug in some values of x. The result is as follows:
| $x=1$ | $y=1$ |
| $x=2$ | $y={\frac {1}{2}}$ |
| $x=3$ | $y={\frac {1}{3}}$ |
| $x=-3$ | $y=-{\frac {1}{3}}$ |
| $x=-2$ | $y=-{\frac {1}{2}}$ |
| $x=-1$ | $y=-1$ |
As x get large the function itself gets smaller and smaller. Here is the graph of ${\frac {1}{x}}$.

## References

* Wikipedia article on rational function
* Paul's Online Math Notes"Rational Functions"
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# Calculus/Related Rates/Solutions

$100ft^{3}/min$
$4ft$
$V={\frac {4}{3}}\pi r^{3}$ ${\dot {V}}=100$ $r=4$ Take the time derivative: ${\dot {V}}=4\pi r^{2}{\dot {r}}$ Solve for ${\dot {r}}$: ${\dot {r}}={\frac {\dot {V}}{4\pi r^{2}}}$ Plug in known values:
${\dot {r}}={\frac {100}{4\pi 4^{2}}}=\mathbf {{\frac {25}{16\pi }}{\frac {ft}{min}}}$
$V={\frac {4}{3}}\pi r^{3}$ ${\dot {V}}=100$ $r=4$ Take the time derivative: ${\dot {V}}=4\pi r^{2}{\dot {r}}$ Solve for ${\dot {r}}$: ${\dot {r}}={\frac {\dot {V}}{4\pi r^{2}}}$ Plug in known values:
${\dot {r}}={\frac {100}{4\pi 4^{2}}}=\mathbf {{\frac {25}{16\pi }}{\frac {ft}{min}}}$
$10ft$
$10ft$
$3ft^{3}/min$
$6ft$
$h=2r$ $V={\frac {1}{3}}\pi r^{2}h={\frac {1}{3}}\pi ({\frac {h}{2}})^{2}h={\frac {1}{12}}\pi h^{3}$ ${\dot {V}}=3$ $h=6$ Take the time derivative: ${\dot {V}}={\frac {1}{4}}\pi h^{2}{\dot {h}}$ Solve for ${\dot {h}}$: ${\dot {h}}={\frac {4{\dot {V}}}{\pi h^{2}}}$ Plug in known values:
${\dot {h}}={\frac {(4)(3)}{\pi 6^{2}}}=\mathbf {{\frac {1}{3\pi }}{\frac {ft}{min}}}$
$h=2r$ $V={\frac {1}{3}}\pi r^{2}h={\frac {1}{3}}\pi ({\frac {h}{2}})^{2}h={\frac {1}{12}}\pi h^{3}$ ${\dot {V}}=3$ $h=6$ Take the time derivative: ${\dot {V}}={\frac {1}{4}}\pi h^{2}{\dot {h}}$ Solve for ${\dot {h}}$: ${\dot {h}}={\frac {4{\dot {V}}}{\pi h^{2}}}$ Plug in known values:
${\dot {h}}={\frac {(4)(3)}{\pi 6^{2}}}=\mathbf {{\frac {1}{3\pi }}{\frac {ft}{min}}}$
$2ft$
$2rpm$
$R$
$s$
Known: ${\frac {R}{s}}={\frac {1}{2\pi r}}$ (each revolution adds one circumferance of distance to s) ${\dot {R}}=2$ $r=1$ Solve for $s$: $s=2\pi rR$ Take the time derivative: ${\dot {s}}=2\pi r{\dot {R}}$ Plug in known values:
${\dot {s}}=2\pi (1)(2)=\mathbf {4\pi {\frac {ft}{min}}}$
$R$
$s$
Known: ${\frac {R}{s}}={\frac {1}{2\pi r}}$ (each revolution adds one circumferance of distance to s) ${\dot {R}}=2$ $r=1$ Solve for $s$: $s=2\pi rR$ Take the time derivative: ${\dot {s}}=2\pi r{\dot {R}}$ Plug in known values:
${\dot {s}}=2\pi (1)(2)=\mathbf {4\pi {\frac {ft}{min}}}$
$t=0$
$e^{-t}$
$V=\pi r^{2}h$ ${\dot {V}}=e^{-t}$ $r=1$ ${\dot {h}}=0.001$ Take the time derivative: ${\dot {V}}=\pi r^{2}{\dot {h}}$ Plug in the known values: $e^{-t}=0.001\pi$ Solve for t:
$\mathbf {t=-\ln(.001\pi )}$
$V=\pi r^{2}h$ ${\dot {V}}=e^{-t}$ $r=1$ ${\dot {h}}=0.001$ Take the time derivative: ${\dot {V}}=\pi r^{2}{\dot {h}}$ Plug in the known values: $e^{-t}=0.001\pi$ Solve for t:
$\mathbf {t=-\ln(.001\pi )}$
# Chess Opening Theory/1. d4/1...d5/2. c4/2...e6/3. Nc3/3...Nf6/4. Nf3/4...Bb4
## 4...Bb4

The mainlines continues either
* 5. Bg5 h6 (Moscow variation)
* 5. Bg5 dxc4 (Vienna variation)
When contributing to this Wikibook, please follow the Conventions for organization.
# Semi-Tarrasch Defense
## General concepts

Unlike the regular Tarrasch, in the Semi-Tarrasch Defense Black does not accept an isolated pawn, since he intends to recapture on d5 with the knight (as after 5.cxd5, 5...exd5 has long been known to be dubious after 6.Bg5), but he cedes a spatial advantage to White.
After 4...c5, White usually plays 5.cxd5 Nxd5 6.e3 or 6.e4, which leads to different types of middlegame play and has attracted the interest of strong players with both colors since the early twentieth century.
When contributing to this Wikibook, please follow the Conventions for organization.

## References

* This Chess related article is a stub. Please assist Wikibooks by expanding it.
# Semi-Slav Defence
### 4...c6
## Theory table

For explanation of theory tables, see theory table and for notation, see algebraic notation.
1. d4 d5 2. c4 e6 3. Nf3 Nf6 4.Nc3 c6
| | 5. |
| | Bg5 ... | = |
| | g3 ... | = |
| Main Line | e3 ... | = |
| | cxd5 ... | = |
When contributing to this Wikibook, please follow the Conventions for organization.

## References

* Kasparov, Garry, & Keene, Raymond 1989 Batsford chess openings 2. ISBN 0-8050-3409-9.
# Semi-Slav Defence
### 5.Bg5

This super-sharp move is often today a true gambit. White intends to offer the c-pawn as a real sacrifice. Here Black can try the solid 5...Nbd7, which leads into the Queen's Gambit Declined (Cambridge Springs Variation), the sharp Botvinnik Variation (5...dxc4 6.e4 b5 7.e5 h6 8.Bh4 g5 9.Nxg5! hxg5 10.Bxg5 with tremendous complications), or the even sharper main line, 5...h6 6.Bh4 dxc4 7.e4 g5 8.Bg3 b5.

## Theory table

For explanation of theory tables, see theory table and for notation, see algebraic notation. .
1. d4 d5 2. c4 c6 3. Nf3 Nf6 4. Nc3 e6 5. Bg5
| | 5 |
| Main line | ... h6 |
| Botvinnik Variation | ... dxc4 |
| Queen's Gambit Declined, Cambridge Springs Variation | ... Nbd7 |
When contributing to this Wikibook, please follow the Conventions for organization.

## References

* Kasparov, Garry, & Keene, Raymond 1989 Batsford chess openings 2. ISBN 0-8050-3409-9.
# Semi-Slav Defence
### 5...Nbd7

Black will usually want to try developing his dark-squared bishop to a square like b4, and castle.

## Theory table

For explanation of theory tables, see theory table and for notation, see algebraic notation. .
1. d4 d5 2. c4 e6 3. Nf3 Nf6 4. Nc3 c6 5. e3 Nbd7
| | 6 |
| Meran Variation | Bd3 |
| Anti-Meran Variation | Qc2 |
When contributing to this Wikibook, please follow the Conventions for organization.
# Queen's Gambit Declined
### 4. Nf3
## Theory table

For explanation of theory tables, see theory table and for notation, see algebraic notation. .
1. d4 d5 2. c4 e6 3. Nc3 Nf6 4. Nf3
| | 4 |
| Semi-Slav Defence | - c6 | = |
| | - Be7 | = |
| Ragozin Defence | - Bb4 | = |
| | - Nbd7 | = |
| Semi-Tarrasch Defence | - c5 | = |
When contributing to this Wikibook, please follow the Conventions for organization.

## References

* Kasparov, Garry, & Keene, Raymond 1989 Batsford chess openings 2. ISBN 0-8050-3409-9.
* This Chess related article is a stub. Please assist Wikibooks by expanding it.
# Chess Opening Theory/1. d4/1...d5/2. c4/2...e6/3. Nc3/3...Nf6/4. Nf3/4...c6/5. Bg5/5...dxc4
## Botvinnik Variation

Welcome to the Botvinnik Slav, the highway of wild variations, where crazy tactical complications fill the board.
Black boldly accepts the gambit pawn, but later black will be the one to be down a pawn. White almost always plays 6. e4 here to gain the entire Center. Play is very sharp here and if either player forgets the theory, they lose on the spot.
# Chess Opening Theory/1. d4/1...d5/2. c4/2...e6/3. Nc3/3...Nf6/4. Nf3/4...c6/5. Bg5/5...dxc4/6. e4
## Botvinnik Slav
### 6. e4

White claims the entire Center, while revealing the f1 bishop's attack on the c4 pawn. Black must fortify the c4 pawn with …b5
# Semi-Slav Defence
### 5.e3

The c-pawn is now protected by the light-squared bishop. The bishop can be moved later for castling. Black will usually want to try developing his dark-squared bishop to a square like b4, and castle.

## Theory table

For explanation of theory tables, see theory table and for notation, see algebraic notation. .
1. d4 d5 2. c4 e6 3. Nf3 Nf6 4. Nc3 c6 5. e3
| | 5... |
| Main Line | ... Nbd7 | |
| | ... Bd6 | = |
| | ... Be7 | = |
| | ... a6 | = |
When contributing to this Wikibook, please follow the Conventions for organization.
# Biochemistry/Glycholysis

it is a process to convert glucose in pyruvic acid
# Digitalis

Certain steroids obtained from plants are potent inhibitors of the Sodium-Potassium pump. Digitoxigenin and ouabain are members of this class of inhibitors, which are known as cardiotonic steroids because of their effects on the heart. These compounds inhibit the dephosphorylation of the E$_2$-P form of the ATPase when applied on the extracellular face of the membrane. Digitalis is a mixture of cardiotonic steroids derived from the dried leaf of the foxglove plant (Digitalis purpurea). The compound increases the force of contraction produced by the heart, and is the drug of choice in heart failure. The inhibition of the sodium potassium pump by Digitalis leads to a higher level of Na+ inside the cell. The diminished Na+ gradient results in a slower intrusion of Ca$^{2+}$ by the sodium-calcium exchanger. The increase of Ca$^{2+}$ enhances the ability of the cardiac muscle to contract. Digitalis was being used long before its discovery through foxglove extract. People were using it to cure people with congestive heart failure.

## References

Berg, Jeremy M. Biochemistry. 7th ed. (377)
# Biochemistry/Gluconeogenesis

The process named gluconeogenesis allows cell to gain glucose from noncarbohydrate sources. However, this process should not be considered as just opposite of glycolysis. It bypasses irreversible reactions of glycolysis, but the remaining reaction happens just as opposite direction of glycolysis. Thus, it will be better to investigate only irreversible steps of gluconeogenesis.

## References

* Nelson, D. L., & Cox, M. M. (2008). Glycolysis, gluconeogenesis, and the pentose phosphate pathway. Lehninger Principles of Biochemistry, 4, 521-559.
* Berg JM, Tymoczko JL, Stryer L. Biochemistry. 5th edition. New York: W H Freeman; 2002. Chapter 16, Glycolysis and Gluconeogenesis.
# Biochemistry/Introduction

Biochemistry
* Biochemistry/Thermodynamics
* Biochemistry/Catalysis
* Biochemistry/Metabolism and energy
* Biochemistry/pKa values
Next chapter: Proteins >>

### Intro: What Is Biochemistry?

Biochemistry is the study of the chemistry of, and relating to, biological organisms. It forms a bridge between biology and chemistry by studying how complex chemical reactions and chemical structures give rise to life and life's processes. Biochemistry is sometimes viewed as a hybrid branch of organic chemistry which specializes in the chemical processes and chemical transformations that take place inside of living organisms, but the truth is that the study of biochemistry should generally be considered neither fully "biology" nor fully "chemistry" in nature. Biochemistry incorporates everything in size between a molecule and a cell and all the interactions between them. The aim of biochemists is to describe in molecular terms the structures, mechanisms and chemical processes shared by all organisms, providing organizing principles that underlie life in all its diverse forms.
Biochemistry essentially remains the study of the structure and function of cellular components (such as enzymes and cellular organelles) and the processes carried out both on and by organic macromolecules - especially proteins, but also carbohydrates, lipids, nucleic acids, and other biomolecules. All life forms alive today are generally believed to have descended from a single proto-biotic ancestor, which could explain why all known living things naturally have similar biochemistries. Even when it comes to matters which could appear to be arbitrary - such as the genetic code and meanings of codons, or the "handedness" of various biomolecules - it is irrefutable fact that all marine and terrestrial living things demonstrate certain unchanging patterns throughout every level of organization, from family and phylum to kingdom and clade.
Biochemistry is, most simply put, the chemistry of life.
# Buddhist Philosophy/Authors

* Lobster
* Woodenrobot
* Other and anonymous contributors
# Brlcad/vrmgr

The vrmgr program behaves as a manager for virtual reality displays.
# Buddhist Philosophy/Esoteric Buddhism

    Mahayana Dictum - "Emptiness is form and form is emptiness" can be expressed as a formula:
    ${\frac {\infty =1=0}{2}}$
    Esoteric Buddhist Schools include: Tendai, Shingon, Tantric and are the antithesis of the Yinyana and other open systems. Often based on supernatural teachings incorporating traditional beliefs (and superstitions), they nonetheless integrate some depth psychology and healing methods.

### Introduction

Esoteric Buddhism is generally classified under the Great Vehicle (Mahayana) Buddhism. There are two parts to it: the Exoteric and the Esoteric Buddhism. In order for us to understand Esoteric Buddhism, we need to explore the origins as well the constituent philosophy and historical context of how the respective schools were established.
Exoteric Buddhism is based on Madhyamika ('middle way') of Nagarjuna.
Esoteric Buddhism requires the study of Exoteric Buddhism as the foundation. Esoteric Buddhism is taught to practitioners as an 'advanced' dharma.

### Doctrine

The doctrine of the Esoteric (or Tantric) Buddhism is based on Mahavairocana-sutra, and Kalacakraindriya-sutra. The following may best explain the doctrine:
* Taking the six elements as essence
* Five Wisdom Buddhas
* Taking the four mandalas as appearance
* Taking the three secrets as means
* Cause, base, final means
* Anger and fear
The Esoteric Buddhism module or this section of Buddhist Philosophy is an incomplete stub. You can help! Add your contributions.

### Reference

Lecture delivered by Master Sheng-yen on Esoteric and Exoteric Buddhism
Article by A. P. Sinnett Esoteric Buddhism
# Buddhist Philosophy/Developments
### Well Known Buddhists

* Dalai Lama ~ Tulku, embodiment of Compassion
* Thich Nhat Hanh ~ Runs Plum Village in France, nominated for a Nobel peace prize
* Zen Master Seung Sahn http://www.kwanumzen.org

### Who are the Hinayana?

    Hinayana is a term meaning "smaller" or "lower" vehicle.
    In order to be classified as following Hinayana, a practitioner must be practicing in order to achieve the nirvana of the hearer (shravaka) or solitary realiser (pratyekabuddha). The motivation of bodhicitta, the wish to attain Buddhahood for the sake of all beings, is absent in these schools, although it may be mentioned in relation to those who actually attained buddhahood. When the aim is buddhahood, a practitioner is following Mahayana.
    There are two main divisions of the Hinayana, the Sautrantika (sutra-ists) and the Vaibhashika (detailists), as compared to the two main divisions of the Mahayana: Yogachara and Madhyamika. The philosophies of the Hinayana schools are collected in the Abhidharmakosha (Compendium of Higher Knowledge) by master Vashubandhu, the brother of Asanga.
    The term 'Hinayana' is often thought to refer to the Theravada school, which developed historically from the Sthaviravada, and the main texts of which are preserved in the Pali language. This is frequently a source of contention, as the term, especially among Western practitioners, has negative connotations. In the Tibetan tradition, among others, the Hinayana is considered a vital and important stage of practice, and one to be thoroughly learnt before embarking on the Bodhisattva path. Indeed, the fourteenth Bodhisattva vows is to refrain from disparaging the Hinayana. To do so is to have committed a root downfall.
    Neither the term Hinayana, or Shravakayana as it is sometimes called, are terms that are considered "politically correct" to use, but unfortunately a proper history of the developments of the Buddha's teachings is not possible without their use.

### Western Developments

    The Beat poets of the 40's and 50's popularised Zen in particular but the roots of Buddhism in the West can be traced back to the Theosophical movement in Great Britain, to earlier esoteric orders and the medieval mystery plays of Europe.

### Future Developments

Integrated and adaptive systems introduced into the core values suggest the need for a new dharma revelation of the future. Traditionally this new Buddha is known as the Maitreya. Meanwhile many utilize the traditional and simple pragmatism of Buddhism to enhance their life experience. Buddhism is good in the beginning, good in the middle, and good in the end.

### Medicine and Healing

The medicine Buddha practices and the body strengthening of Shaolin are two widely known healing methods.

### Non Theistic Ethics and Morality

The Developments module or this section of Buddhist Philosophy is an incomplete stub. You can help! Add your contributions.
# Bryce
## Who is this book for?

This book is aimed at anyone who wishes to learn how to use Bryce effectively and easily as well as anyone who wishes to use it as a reference.

## What is Bryce?

Bryce is a 3D graphics program which specializes in creating and rendering landscapes and terrains. Usually this capability is restricted to high end software packages that tend to be quite expensive. This is not the case with Bryce since DAZ 3D - the company that now own Bryce - have released it for free.

## Capabilities

Although it is released free of charge, Bryce is a very powerful package capable of creating some stunning scenes. With practice it is possible to create anything you wish with it. The image opposite was created using Bryce 5.5.

## Software

Bryce 5.5 can be downloaded from the DAZ 3D website and while Bryce is the only product required to render the scenes, it is helpful to have an image editing program on the side for some of the more advanced topics. Paint Shop Pro or PhotoImpact are fine. If these aren't available then you can make do perfectly well with MS Paint.

## Hardware

Surprisingly for a graphics package Bryce isn't very memory hungry which is good news if you're running an older system. You should be able to run it comfortably with 356MB RAM. On the downside it is very processor intensive whilst rendering and can take over an hour to render complicated scenes and terrains. A dual or quad processor system is definitely an advantage here.

## The Bryce Window

The main window is split up into 5 parts:
* Viewport controls (left hand side)
* Create and edit controls (top)
* Main viewing window
* Selection Tools (bottom)
* Display controls (bottom right)

## Creating a scene

Almost all scenes in Bryce have 3 things in common:
* A ground plain
* A water Plain
* A terrain object
# Buddhist Philosophy
## Contents

* Introduction
* Details
* Meditation
* Mindfulness
* Sutra
* Schools
* Esoteric Buddhism
* Yinyana
* Developments
* Quips
* Glossary
* References and Links
# Chess Opening Theory/1. e4/1...e5/2. Nf3/2...Bc5/3. Nxe5/3...Nc6
## 3...Nc6 - Chiodini Gambit

In the sequence 1.e4 e5 2.Nf3 Bc5 3.Nxe5, the move 3...Nc6 is a better alternative to 3...Bxf2+. This move, known as the Chiodini Gambit, is considered safer and more strategic for black¹².
The move 3...Nc6 serves multiple purposes: - It defends the pawn on e5. - It controls the d4 square. - It avoids committing another pawn for the moment⁴.
After 3...Nc6, the game can proceed in various ways depending on white's response. For instance, white could respond with 4.d4, leading to a very open game with a lot of space for both players⁵.
Remember, chess is a game of strategy and every move has potential consequences. It's up to the player's judgment to decide whether a move aligns with their overall game strategy. The Chiodini Gambit with 3...Nc6 offers black a solid and flexible position to develop their pieces and control the center of the board. It's considered a good choice for players who prefer a more positional and strategic style of play.
1.e4 e5 2.Nf3 Bc5 3.Nxe5 Nc6
# Ruy Lopez - Classical Defence
## Theory table

For explanation of theory tables, see theory table and for notation, see algebraic notation. .
    1. e4 e5 2. Nf3 Nc6 3. Bb5 Bc5
| 4 | 5 | 6 | 7 |
| O-O Nd4 | Nxd4 Bxd4 | c3 Bb6 | d4 c6 | += |
| c3 f5 | d4 fxe4 | | | += |
When contributing to this Wikibook, please follow the Conventions for organization.

## References

* Kasparov, Garry, & Keene, Raymond 1989 Batsford chess openings 2. ISBN 0-8050-3409-9.