Index talk:Elementary algebra (1896).djvu

Related Math Tags

Functions, symbols, special characters

Feature	Syntax	How it looks rendered
Std. functions (good)	\sin x + \ln y +\operatorname{sgn} z \lim n \ \limsup o \ \liminf p \min q \ \max r \ \inf s \ \sup t \exp u \ \lg v \ \log w	$\sin x+\ln y+\operatorname {sgn} z$ $\lim n\ \limsup o\ \liminf p$ $\min q\ \max r\ \inf s\ \sup t$ $\exp u\ \lg v\ \log w$
Std. functions (wrong)	sin x + ln y + sgn z	$sinx+lny+sgnz\,\!$
Derivatives	\nabla \; \partial x \; dx \; \dot x \; \ddot y	$\nabla \;\partial x\;dx\;{\dot {x}}\;{\ddot {y}}$
Root	\sqrt{2}\approx 1.4	${\sqrt {2}}\approx 1.4$
	\sqrt[n]{x}	${\sqrt[{n}]{x}}$
Special	\times \cdot \circ \bullet \infty \bot \top	$\times \cdot \circ \bullet \infty \bot \top$

Subscripts, superscripts, integrals

Feature	Syntax	How it looks rendered
		HTML	PNG
Superscript	a^2	$a^{2}$	$a^{2}\,\!$
Subscript	a_2	$a_{2}$	$a_{2}\,\!$
Grouping	a^{2+2}	$a^{2+2}$	$a^{2+2}\,\!$
	a_{i,j}	$a_{i,j}$	$a_{i,j}\,\!$
Combining sub & super	x_2^3	$x_{2}^{3}$
Preceding sub & super	{}_1^2\!X_3^4	${}_{1}^{2}\!X_{3}^{4}$
Underlines, overlines, vectors	\hat a \ \bar b \ \vec c \ \overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} \ \overline{g h i} \ \underline{j k l}	${\hat {a}}\ {\bar {b}}\ {\vec {c}}\ {\overrightarrow {ab}}\ {\overleftarrow {cd}}\ {\widehat {def}}\ {\overline {ghi}}\ {\underline {jkl}}$
Overbraces	\begin{matrix} 5050 \\ \overbrace{ 1+2+\cdots+100 } \end{matrix}	${\begin{matrix}5050\\\overbrace {1+2+\cdots +100} \end{matrix}}$
Underbraces	\begin{matrix} \underbrace{ a+b+\cdots+z } \\ 26 \end{matrix}	${\begin{matrix}\underbrace {a+b+\cdots +z} \\26\end{matrix}}$
Sum	\sum_{k=1}^N k^2	$\sum _{k=1}^{N}k^{2}$
Product	\prod_{i=1}^N x_i	$\prod _{i=1}^{N}x_{i}$
Limit	\lim_{n \to \infty}x_n	$\lim _{n\to \infty }x_{n}$
Integral	\int_{-N}^{N} e^x\, dx	$\int _{-N}^{N}e^{x}\,dx$
Double integral	\iint_{D}^{W} \, dx\,dy	$\iint _{D}^{W}\,dx\,dy$
Path integral	\oint_{C} x^3\, dx + 4y^2\, dy	$\oint _{C}x^{3}\,dx+4y^{2}\,dy$

Fonts

Feature	Syntax	How it looks rendered
	\mathbb{N}\ \mathbb{Z}\ \mathbb{Q}\ \mathbb{R}\ \mathbb{C}	$\mathbb {N} \ \mathbb {Z} \ \mathbb {Q} \ \mathbb {R} \ \mathbb {C}$
(vectors)	\mathbf{x}\cdot\mathbf{y} = 0	$\mathbf {x} \cdot \mathbf {y} =0$

Spacing

Feature	Syntax	How it looks rendered
double quad space	a \qquad b	$a\qquad b$
quad space	a \quad b	$a\quad b$
text space	a\ b	$a\ b$
text space without PNG conversion	a \mbox{ } b	$a{\mbox{ }}b$
large space	a\;b	$a\;b$
small space	a\,b	$a\,b$
no space	ab	$ab\,$
negative space	a\!b	$a\!b$

Fractions, matrices, multilines

Feature

Syntax

How it looks rendered

Fractions

\frac{2}{4} or {2 \over 4}

${\frac {2}{4}}$

Binomial coefficients

{n \choose k}

${n \choose k}$

Small Fractions

\begin{matrix} \frac{2}{4} \end{matrix}

${\begin{matrix}{\frac {2}{4}}\end{matrix}}$

Matrices

\begin{matrix} x & y \\ z & v \end{matrix}

${\begin{matrix}x&y\\z&v\end{matrix}}$

\begin{vmatrix} x & y \\ z & v \end{vmatrix}

${\begin{vmatrix}x&y\\z&v\end{vmatrix}}$

\begin{Vmatrix} x & y \\ z & v \end{Vmatrix}

${\begin{Vmatrix}x&y\\z&v\end{Vmatrix}}$

\begin{bmatrix} 0 & \cdots & 0 \\ \vdots &

\ddots & \vdots \\ 0 & \cdots &

0\end{bmatrix}

${\begin{bmatrix}0&\cdots &0\\\vdots &\ddots &\vdots \\0&\cdots &0\end{bmatrix}}$

\begin{Bmatrix} x & y \\ z & v \end{Bmatrix}

${\begin{Bmatrix}x&y\\z&v\end{Bmatrix}}$

\begin{pmatrix} x & y \\ z & v \end{pmatrix}

${\begin{pmatrix}x&y\\z&v\end{pmatrix}}$

Case distinctions

f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}

$f(n)={\begin{cases}n/2,&{\mbox{if }}n{\mbox{ is even}}\\3n+1,&{\mbox{if }}n{\mbox{ is odd}}\end{cases}}$

Multiline equations

\begin{matrix}f(n+1) & = & (n+1)^2 \\ \ & = & n^2 + 2n + 1 \end{matrix}

${\begin{matrix}f(n+1)&=&(n+1)^{2}\\\ &=&n^{2}+2n+1\end{matrix}}$

Alternative multiline equations (using tables)

{|
|-
|<math>f(n+1)</math>
|<math>=(n+1)^2</math>
|-
|
|<math>=n^2 + 2n + 1</math>
|}

$f(n+1)\,\!$	$=(n+1)^{2}\,\!$
	$=n^{2}+2n+1\,\!$

Possible approach

It seems that this document might be a nice addition to WS as WS does not seem to have too many math books at introductory/elementary level. Of course there are many higher level books. As many people are familiar with algebra and it is an important part of middle school and high school math, it might attract more contributors too.

As the document is quite large (530+ pages) and contains large no. of equations, we may proceed in multiple steps while proofreading. For example:

1. First we might only do the text parts in each page. Add problematic tag and/or {{mmf}} / {{missing math formula}} if the page contains equations.
2. When all text are done, we may add LaTeX tags etc. for the equations.
3. Then then <math> wrapper may be placed around the symbols, equations etc.
4. Finally the document markups such as bold, italic, chapter headings etc. may be added.

This is of course merely a suggestion. You can of course do all necessary formatting at the same time if you prefer.

Not all text has been proofread yet. Hence, if one is to proceed as suggested above, one will be at the first step. WadiArial (talk) 11:17, 20 October 2021 (UTC)

@WadiArial: You can of course proceed as best fits your preference, but my advice would be to collapse this down to a two-step process: first proofread and format all text, replacing any maths with {{mmf}}, then do a second pass adding the math. Proofreading and formatting the text is best done together if one is to avoid missing an italic word here and there etc., and that lets one afterwards focus exclusively on the math which uses a different syntax. Xover (talk) 16:37, 3 November 2021 (UTC)