I would like to put inequality operators of both directions, i.e. &lt; and &gt;, aligned vertically in one expression. Can anyone help?
1659
I know what my symbol or character looks like, but I don't know what the command is or which math alphabet it came from. How do I go about finding this out?
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pp  and ,   illustrates Triangle Inequality. But without referring to Triangle Inequality at all, how to picture  Reverse Triangle Inequality for all $\mathbf{a,b} \in C^n$? I don't want proofs or rigour.
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If $x,y,z\in \mathbb{R}\;,$ Then Range of $$\frac{|x+y|}{|x|+|y|}+\frac{|y+z|}{|y|+|z|}+\frac{|z+x|}{|z|+|x|}\,$$    $\bf{My\; Try::}$ Here $x,y,z$ Not all Zero Simultaneously.   Now Using $\bf{\triangle\;  Inequality}\;,$ We get $|x+y|\leq |x|+|y|$  Similarly $|y+z|\leq |y|+|z|$ and $|z+x|\leq |z|+|x|$  So we get $$\frac{|x+y|}{|x|+|y|}+\frac{|y+z|}{|y|+|z|}+\frac{|z+x|}{|z|+|x|}\leq 3$$  Now I did not understand How can I calculate $\min$ of that expression, Help Required  Thanks
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I'd like to be able to place multiple sub and superscripts (in maths mode) on an element without having them expand vertically.  That is, so that in the output of ${x^2_4}^6_8$, the 2 and 6 were aligned, as were the 4 and 8 (obviously, I'd expect to do this with a macro rather than the super- and subscript commands).  As a bonus, it'd be nice to be able to control whether or not this appeared like $x^{26}_{48}$ or $x^{2\phantom{4}6}_{\phantom{2}4\phantom{6}8}$.  And it would be nice to truly be able to do this incrementally, so that each subscript or superscript could be added without having to know all the previous ones (useful for adding stuff via macros).  Simply writing $x^2_4{}^6_8$ wouldn't work as the latter super and subscripts wouldn't know the difference between x and X and &prod;.  (see also )
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I would like to put some text in math mode below a mathematical operator (or a symbol), similar to \substack in \sum, as the red text below the \max operator in the following image  How to do this?
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Say I had;   \begin{equation}   \begin{cases}      x = 0 \\      y = 0 \\      z = 0     \end{cases}     \qquad \text{and} \qquad     \begin{cases}      x = a \\      y = a \\      z = b     \end{cases}   \end{equation}   How could I insert a brace ( } ) in the second 'cases' to say x and y are equal to a. (i.e. } = a ).   I hope this is clear, if not I can sketch it out - just let me know!  Thanks in advance!
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What do slanted inequality signs mean? Specifically, these are $\geqslant$, $\leqslant$; and the variation: $\eqslantgtr$, $\eqslantless$.   Is there any place I can look this up? I've searched Wikipedia and the web and can't find anything about them. The last two were found when looking up the first two.
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For my thesis I need particular brackets for defining some operators. I found \llceil, \rrceil, \llfloor and \rrfloor in the , which are just what I was looking for. Unfortunately, they do not support \left and \right and therefore they look very ugly with tall formulas. Probably they are not designed for such formulas.  Is there a simple way to make them supporting \left and \right or to define other brackets that do support them?
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This is an absolutely minor/cosmetic problem. I can e.g. use stackrel so combine two math-symbols vertically. This is nice for \stackrel{!}{=}. But how to do this horizontally? I want to combine (only once, no newcommand necessary) the colon and an equivalence sign. I found the option \mathrel{: \equiv} which allows different versions like:  :\equiv  \quad \mathrel{: \equiv} \quad \mathrel{: \!\! \equiv} \quad \mathrel{: \!\! \!\! \!\! \equiv}     So I can shift the horizontal position. But like to achieve that the colon is centered regarding the vertical position. Like the blue version:    Again: if I use stackrel is combines two symbols vertically and centered! If I use mathrel is combines two symbols horizontally but not centered somehow.  I am eager to see your solutions.
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\begin{equation}     \begin{aligned}         [c\mathbf{v}+c'\mathbf{v}',\mathbf{w}]=&amp;c[\mathbf{v},\mathbf{w}]+c'[\mathbf{v}',\mathbf{w}],\\         [\mathbf{v},c\mathbf{w}+c'\mathbf{w}']=&amp;c[\mathbf{v},\mathbf{w}]+c'[\mathbf{v},\mathbf{w}'],     \end{aligned} \end{equation}   In this code, [c\mathbf{v}+c'\mathbf{v}',\mathbf{w}] is not shown in the equation. Is it because of the aligned environment? How to fix it?
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I am trying to put two subscripts at the left and right of a character. For example, something like:  _{t} p_{x}  where p is in the middle. How do you do this?
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How can I make the curly braces on TikZ to label the x and y as in this picture?
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So as I have learned from a previous post that the  \begin{aligned}... \end{aligned} with the usage of "&amp;" before "=" will help arrange neatly the equations where the equal sign of each equation will be just below the equal sign of the following equation and so on.  My question is if I have a total of 8 equations, how to number each equation and at the same time preserve the alignment of the equal signs.  Note if I use \begin{equation}... \end{equation}, I get only one number for the collection of 8 equations at the very end which is not what I want.
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I have a problem regarding alignment for my equations.  This dummy program shows the problem:  \documentclass{article} \usepackage{amsmath} \begin{document}  \begin{enumerate}     \item First do this     \begin{align}     c^2 &amp;= a^2 + b^2     \end{align}      \item Then do this      \begin{align}     variable &amp;= c^2     \end{align} \end{enumerate}  \end{document}     I would like the = to be aligned under each other, but still be able to list them inside the enumerate.  Any suggestions?
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How do you prove that these four definitions of the operator norm are equivalent? $$\begin{align*} \lVert A\rVert_{\mathrm{op}} &amp;= \inf\{ c\;\colon\; \lVert Av\rVert\leq c\lVert v\rVert \text{ for all }v\in V\}\\ &amp;=\sup\{ \lVert Av\rVert\;\colon\; v\in V\text{ with }\lVert v\rVert\leq 1\}\\ &amp;=\sup\{\lVert Av\rVert\;\colon\; v\in V\text{ with }\lVert v\rVert = 1 \}\\ &amp;=\sup\left\{ \frac{\lVert Av\rVert}{\lVert v\rVert}\;\colon\; v\in V\text{ with }v\neq 0\right\}. \end{align*}$$
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If I have a string of equations whose equal signs are aligned and one of the equations is too long and needs to span multiple lines, how do I create a second alignment. For instance, in the following example     \begin{align*}     f(x)&amp;=eqn1\\         &amp;=eqn2_part1+eqn2_part2\\          &amp;           +eqn2_part3\\         &amp;=eqn3\\          &amp;=eqn4\\   \end{align*}   How do I align the equals signs and the plus signs.
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I'm trying to add this expression to my work:   I understand that the best way to achieve this is using the alignat environment within the amsmath package, so I tried the following:  \begin{alignat*}{3} m &amp;&amp; \text{módulo} &amp;&amp; m&gt;0\\ a &amp;&amp; \text{multiplicador} &amp;&amp; 0&lt;a&lt;m\\ c &amp;&amp; \text{constante aditiva} &amp;&amp; 0\leq c&lt;m\\ x_0 &amp;&amp; \text{valor inicial} &amp;&amp; 0\leq x_0 &lt;m \end{alignat*}   But the spacing I'm getting is really weird, I have read the amsmath documentation but I can't figure out what's the problem.  This was I'm getting:   My version is in spanish and I'm using polyglossia, but I don't think that's relevant. Anyway I'm using xelatex, and the book class.  I also wanted to know if there is a way to write the whole equation in the same environment with the middle text, or do I need to make another math environment for the centered equation at the end.