I want to change this formula into Latex code:
the latex code generated by MathType is below:
\[\widetilde v(i) = \frac{{\sum\nolimits_{j \in {N_i}(D)} {w(i,j)v(j)} }}{{\sum\nolimits_{j \in {N_i}(D)} {w(i,j)} }}\]
but when i insert this code into vim-latex, somes errors happens, so that vim-latex cannot accept it:
mypaper.tex|559 error| LaTeX Error: Bad math environment delimiter.
mypaper.tex|559 error| Missing delimiter (. inserted). \endgroup \[\widetilde v(i) = \frac\left\{ \sum\nolimits_{j \in {N_i}(D)} {w(i,j...
mypaper.tex|559 error| Missing \right. inserted. \right . \[\widetilde v(i) = \frac\left\{ \sum\nolimits_{j \in {N_i}(D)} {w(i,j...
mypaper.tex|559 error| Extra }, or forgotten $. ...\nolimits_{j \in {N_i}(D)} {w(i,j)v(j)} } }\left\{ \sum\nolimits_{j ...
mypaper.tex|559 error| Extra }, or forgotten $. ...nolimits_{j \in {N_i}(D)} {w(i,j)v(j)} }} \left\{ \sum\nolimits_{j \...
mypaper.tex|559 error| Extra }, or forgotten \right. ...\sum\nolimits_{j \in {N_i}(D)} {w(i,j)} } }\] \right\}<++> \right\}<++>
mypaper.tex|559 error| Extra }, or forgotten \right. ...sum\nolimits_{j \in {N_i}(D)} {w(i,j)} }} \] \right\}<++> \right\}<++>
mypaper.tex|559 error| LaTeX Error: Bad math environment delimiter.
mypaper.tex|559 error| Extra \right. ...}(D)} {w(i,j)} }}\] \right\}<++> \right\} <++>
How to solve this problem ?
I use the follow code to solve this problem:
\widetilde v(i) = \frac{ \sum\nolimits_{j \in {N_i}(D)} {w(i,j)v(j)} }{ \sum\nolimits_{j \in {N_i}(D)} {w(i,j)}}
Surround your math code with $$ signs.
For example:
$$ sin^2(\theta) +cos^2(\theta) = 1 $$
will produce your desired equation.
\begin{document}
\begin{equation}
\tilde{v}(\it {i})=\frac{\Sigma_{j\epsilon N_iD}
W(\it{i,j})v(\it{j})}{{\Sigma_{j\epsilon N_iD} W(\it{i,j})}}
\end{equation}
\end{document}
This seem to work.
Related
I am trying to include different equation paragraphs in my LaTex document. Is it somehow possible to visually separate the paragraphs (e.g. by horizontal lines) and give them different captions?
I don't want the captions to emerge in the table of content, just underneath the equations.
\documentclass{article}
\usepackage[utf8]{inputenc}
\begin{document}
\section{Mathematical Formulation}
\begin{equation}
\operatorname{Max} F=\sum_{u,v \in V \mid u<v} \left(d_{uv} + d_{vu}\right) x_{uv}
\end{equation}
such that:
\begin{equation}
\sum_{l \in L_{u v}} y_{l} \geq x_{u v} \hspace{4em} u, v \in V \mid u<v
\end{equation}
\begin{equation}
\sum_{l \in \tilde L_{i j}} y_{l} \geq 1 \hspace{5em} \ \lbrack i,j \rbrack \in E
\end{equation}
%Next paragraph here
\begin{equation}
\operatorname{Min} F=\sum_{u \in V} \sum_{l \in L} \sum_{(i, j) \in \vec {E_{l}}} t_{l i j} x_{u l i j}
\end{equation}
\begin{equation}
\sum_{l \in L} \sum_{(i, v) \in \vec{E}_{l}} x_{u l i v}-\sum_{l \in L} \sum_{(v, j) \in \vec{E}_{l}} x_{u l v j}=d_{u v} \hspace{4em} u,v \in V \mid u \ne v
\end{equation}
\end{document}
The caption should look similar to the one for my GAMS code:
You could create a custom command like this:
\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\newcounter{foo}
\newcommand{\mycaption}[1]{
{
\medskip
\centering
\setcounter{foo}{\theequation}
\addtocounter{foo}{1}
Equation \thefoo: #1
\vskip-0.5\baselineskip
\noindent\hrulefill
}
}
\begin{document}
\section{Mathematical Formulation}
\begin{equation}
\operatorname{Max} F=\sum_{u,v \in V \mid u<v} \left(d_{uv} + d_{vu}\right) x_{uv}
\end{equation}
such that:
\begin{equation}
\sum_{l \in L_{u v}} y_{l} \geq x_{u v} \hspace{4em} u, v \in V \mid u<v
\end{equation}
\begin{equation}
\sum_{l \in \tilde L_{i j}} y_{l} \geq 1 \hspace{5em} \ \lbrack i,j \rbrack \in E
\end{equation}
%Next paragraph here
\mycaption{some text}
\begin{equation}
\operatorname{Min} F=\sum_{u \in V} \sum_{l \in L} \sum_{(i, j) \in \vec {E_{l}}} t_{l i j} x_{u l i j}
\end{equation}
\begin{equation}
\sum_{l \in L} \sum_{(i, v) \in \vec{E}_{l}} x_{u l i v}-\sum_{l \in L} \sum_{(v, j) \in \vec{E}_{l}} x_{u l v j}=d_{u v} \hspace{4em} u,v \in V \mid u \ne v
\end{equation}
\end{document}
Or if you prefer a separate counter:
\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\newcounter{foo}
\newcommand{\mycaption}[1]{
{
\medskip
\centering
% \setcounter{foo}{\theequation}
\addtocounter{foo}{1}
Model \thefoo: #1
\vskip-0.5\baselineskip
\noindent\hrulefill
}
}
\begin{document}
\section{Mathematical Formulation}
\begin{equation}
\operatorname{Max} F=\sum_{u,v \in V \mid u<v} \left(d_{uv} + d_{vu}\right) x_{uv}
\end{equation}
such that:
\begin{equation}
\sum_{l \in L_{u v}} y_{l} \geq x_{u v} \hspace{4em} u, v \in V \mid u<v
\end{equation}
\begin{equation}
\sum_{l \in \tilde L_{i j}} y_{l} \geq 1 \hspace{5em} \ \lbrack i,j \rbrack \in E
\end{equation}
%Next paragraph here
\mycaption{some text}
\begin{equation*}
\operatorname{Min} F=\sum_{u \in V} \sum_{l \in L} \sum_{(i, j) \in \vec {E_{l}}} t_{l i j} x_{u l i j}
\end{equation*}
\begin{equation}
\sum_{l \in L} \sum_{(i, v) \in \vec{E}_{l}} x_{u l i v}-\sum_{l \in L} \sum_{(v, j) \in \vec{E}_{l}} x_{u l v j}=d_{u v} \hspace{4em} u,v \in V \mid u \ne v
\end{equation}
\end{document}
I am trying to typeset the following equation in the align-evoirement
\begin{align}
t_2' &= t_2 + \frac{L/C} \\
t_1' &= t_1 + \frac{L + v\Delta t\cos\theta}{c} \\
t_2' - t_1' &= (t_2-t_1) + \frac{L-L-v\Delta t\cos\theta}{C} \\
\Delta t' &= \Delta t - \frac{v\Delta t \cos \theta}{c} \\
\Delta t' &= \Delta t \left(1-\frac{v\cos\theta}{c}\right) \\
\frac{1}{\nu} &= \frac{1}{\nu_0 \sqrt{1-\frac{v^2}{c^2}}}~\left(1-\frac{v\cos \theta {c}\right) \\
\nu &= \nu_0\frac{ \sqrt{1-\dfrac{v^2}{c^2}}}{1-\dfrac{v\cos \theta }{c}}
\end{align}
But when I tried this I got the following message:
[45]
! Missing } inserted.
<inserted text>
}
l.938 \end{align}
?
I copied the equations in Matcha (without the &), where it was perfectly working... I tried some things, but those did not seem to work...
Does anybody know what I did wrong?
At two occasions you write \frac{..} without the mandatary second argument. You must write \frac{...}{...} instead.
\documentclass{article}
\usepackage{mathtools}
\begin{document}
\begin{align}
t_2' &= t_2 + \frac{L}{C} \\
t_1' &= t_1 + \frac{L + v\Delta t\cos\theta}{c} \\
t_2' - t_1' &= (t_2-t_1) + \frac{L-L-v\Delta t\cos\theta}{C} \\
\Delta t' &= \Delta t - \frac{v\Delta t \cos \theta}{c} \\
\Delta t' &= \Delta t \left(1-\frac{v\cos\theta}{c}\right) \\
\frac{1}{\nu} &= \frac{1}{\nu_0 \sqrt{1-\frac{v^2}{c^2}}}~\left(1-\frac{v\cos \theta}{c}\right) \\
\nu &= \nu_0\frac{ \sqrt{1-\dfrac{v^2}{c^2}}}{1-\dfrac{v\cos \theta }{c}}
\end{align}
\end{document}
I would like to split on multiple lines an equation which contain tikzpicture in gathered environment. I have tried to use align and split environments but both did not work...
Here is a working example where the equation is on one line:
\documentclass[12pt]{article}
\usepackage{amssymb}
% !TEX program = lualatex
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{mathtools}
\usepackage{tikz}
\usepackage[compat=1.1.0]{tikz-feynman}
\begin{document}
\begin{equation}
2\Im\left(F(q^2)\right) =
\begin{gathered}
\scalebox{0.7}{
\begin{tikzpicture}
\begin{feynman}
\vertex (i1) {\(s\)};
\vertex [right=of i1] (a);
\vertex [right=of a] (b);
\vertex [right=of b] (i2);
\diagram* {
i1 -- a --[half left] b -- i2,
b --[half left, double] a,
};
%% Find the midpoint which is halfway between a and b
\coordinate (midpoint) at ($(a)!0.5!(b)$);
%% Draw a line starting 2 units above the midpoint, and
%% ending 2 units below the midpoints
\draw [dashed] ($(midpoint) + (0, 0.8)$) -- ($(midpoint) + (0,-0.8)$);
\end{feynman}
\end{tikzpicture}
}
\end{gathered}
= \int\frac{\,d^d k}{i\pi^{d/2}} \left[2\pi i\: \theta(k^0)\delta(k^2-m^2)\right]\left[2\pi i\: \theta(q^0-k^0)\delta((q-k)^2)\right]%
\end{equation}
\end{document}
Here is what I would like to do
\documentclass[12pt]{article}
\usepackage{amssymb}
% !TEX program = lualatex
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{mathtools}
\usepackage{tikz}
\usepackage[compat=1.1.0]{tikz-feynman}
\begin{document}
\begin{equation}
\begin{split}
2\Im\left(F(q^2)\right) &=
\begin{gathered}
\scalebox{0.7}{
\begin{tikzpicture}
\begin{feynman}
\vertex (i1) {\(s\)};
\vertex [right=of i1] (a);
\vertex [right=of a] (b);
\vertex [right=of b] (i2);
\diagram* {
i1 -- a --[half left] b -- i2,
b --[half left, double] a,
};
%% Find the midpoint which is halfway between a and b
\coordinate (midpoint) at ($(a)!0.5!(b)$);
%% Draw a line starting 2 units above the midpoint, and
%% ending 2 units below the midpoints
\draw [dashed] ($(midpoint) + (0, 0.8)$) -- ($(midpoint) + (0,-0.8)$);
\end{feynman}
\end{tikzpicture}
}
\end{gathered}\\
&= \int\frac{\,d^d k}{i\pi^{d/2}} \left[2\pi i\: \theta(k^0)\delta(k^2-m^2)\right]\left[2\pi i\: \theta(q^0-k^0)\delta((q-k)^2)\right]%
\end{split}
\end{equation}
\end{document}
The latter returns a error due to the gathered in the split environment.
Does any of you know to solution to my problem ?
It's unclear to me what your desired result should look like exactly, but I think this should be approximately what you want:
\documentclass[12pt]{article}
\usepackage{amssymb}
% !TEX program = lualatex
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{mathtools}
\usepackage{tikz}
\usepackage[compat=1.1.0]{tikz-feynman}
\begin{document}
\begin{align}
2\Im\left(F(q^2)\right) &=
\parbox{0.5\linewidth}{%
\scalebox{0.7}{
\begin{tikzpicture}
\begin{feynman}
\vertex (i1) {\(s\)};
\vertex [right=of i1] (a);
\vertex [right=of a] (b);
\vertex [right=of b] (i2);
\diagram* {
i1 -- a --[half left] b -- i2,
b --[half left, double] a,
};
%% Find the midpoint which is halfway between a and b
\coordinate (midpoint) at ($(a)!0.5!(b)$);
%% Draw a line starting 2 units above the midpoint, and
%% ending 2 units below the midpoints
\draw [dashed] ($(midpoint) + (0, 0.8)$) -- ($(midpoint) + (0,-0.8)$);
\end{feynman}
\end{tikzpicture}
}
} \\
&= \int\frac{\,d^d k}{i\pi^{d/2}} \left[2\pi i\: \theta(k^0)\delta(k^2-m^2)\right]\left[2\pi i\: \theta(q^0-k^0)\delta((q-k)^2)\right] \notag
\end{align}
\end{document}
This gives the following result:
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Closed 2 years ago.
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I am a beginner in latex. I have the following piece of latex code. The code is working fine but I wish all the equality operators and the "if kflag=n" of each equation be aligned and written in one equation box with one equation counting number. How can it be done?
\begin{equation} %kflag=0
\left \{
\begin{array}{rl}
T =& (1-D)\sigma_{max,0}\times e^{1-\frac{\Delta_n}{\delta_n}}\times \frac{\Delta_n}{\delta_n}\\
K =& \frac{(1-D)\sigma_{max,0}}{\delta_n}\times e^{1-\frac{\Delta_n}{\delta_n}}\times (1-\frac{\Delta_n}{\delta_n})\\
\end{array}
\right.
\quad \text{if} \quad kflag=0
\end{equation}
\begin{equation} %kflag=1
\left \{
\begin{array}{rl}
T =& \alpha\sigma_{max,0}\times e^{1-\frac{\Delta_n}{\delta_n}}\times \frac{\Delta_n}{\delta_n}\\
K =& \frac{\alpha\sigma_{max,0}}{\delta_n}\times e^{1-\frac{\Delta_n}{\delta_n}}\times (1-\frac{\Delta_n}{\delta_n})\\
\end{array}
\right.
\quad \text{if} \quad kflag=1
\end{equation}
\begin{equation} %kflag=2
\left \{
\begin{array}{rl}
T =& (1-D)\sigma_{max,0}\times e^{1-\frac{\Delta_n}{\delta_n}}\times \frac{\Delta_n}{\delta_n}+T_{max}-\\
&(1-D)\sigma_{max,0}\times e\times\frac{\Delta_{max}}{\delta_n}+\\
&10\times \sigma_{max,0}\times e^{1-\frac{\Delta_n}{\delta_n}}\times \frac{\Delta_n}{\delta_n}\\
K =& 11\times\frac{(1-D)\sigma_{max,0}}{\delta_n}\times e^{1-\frac{\Delta_n}{\delta_n}}\times (1-\frac{\Delta_n}{\delta_n})\\
\end{array}
\right.
\quad \text{if} \quad kflag=2
\end{equation}
\begin{equation} %kflag=3
\left \{
\begin{array}{rl}
T =& T_{max}+K\times(\Delta_n-\Delta_{max})\\
K =& \frac{(1-D)\sigma_{max,0}*e}{\delta_n}\\
\end{array}
\right.
\quad \text{if} \quad kflag=3
\end{equation}
Right now the equations look like this
Here's an option using a multitude of nested structures - equation for the numbering, aligned for the horizontal alignment of structures and dcases (or cases) for the left-braced content.
\documentclass{article}
\usepackage{mathtools}
\begin{document}
\newcommand{\Ddn}{\frac{\Delta_n}{\delta_n}}
\newcommand{\smz}{\sigma_{\mathrm{max}, 0}}
\begin{equation}
\begin{aligned}
&\begin{dcases}
\phantom{K}\mathllap{T} = (1 - D) \smz \times e^{1 - \Ddn} \times \Ddn \\
K = \frac{(1 - D) \smz}{\delta_n} \times e^{1 - \Ddn} \times \bigl( 1 - \Ddn \bigr)
\end{dcases} & \text{if $k$-flag} = 0 \\ % k-flag = 0
&\begin{dcases}
\phantom{K}\mathllap{T} = \alpha \smz \times e^{1 - \Ddn} \times \Ddn \\
K = \frac{\alpha \smz}{\delta_n} \times e^{1 - \Ddn} \times \bigl( 1 - \Ddn \bigr)
\end{dcases} & \text{if $k$-flag} = 1 \\ % k-flag = 1
&\begin{dcases}
\phantom{K}\mathllap{T} = \begin{aligned}[t]
&(1 - D) \smz \times e^{1 - \Ddn} \times \Ddn + T_{\mathrm{max}} \\
&{} - (1 - D) \smz \times e \times \frac{\Delta_{\mathrm{max}}}{\delta_n} \\
&{} + 10 \times \smz \times e^{1 - \Ddn} \times \Ddn
\end{aligned} \\
K = 11 \times \frac{(1 - D) \smz}{\delta_n} \times e^{1 - \Ddn} \times \bigl( 1 - \Ddn \bigr)
\end{dcases} & \text{if $k$-flag} = 2 \\ % k-flag = 2
&\begin{dcases}
\phantom{K}\mathllap{T} = T_{\mathrm{max}} + K \times (\Delta_n - \Delta_{\mathrm{max}}) \\
K = \frac{(1 - D) \smz \times e}{\delta_n}
\end{dcases} & \text{if $k$-flag} = 3
\end{aligned}
\end{equation}
\end{document}
I am working on my thesis (a report type file) in which I have several consecutive equations associated to some mathematical model, the thing is that those are too separate to each other and looks not pretty good, so I would like to know how can customize this. I am using a report type file and I have been around though to many pages without finding a good answer to this.
The code is the following:
\begin{equation}
\sum_{k \in K} \sum_{i \in V_{1}}v_{ijkg} \leq d_{jg} \hspace*{0.3 cm} \forall j \in V_{2}, \hspace{0.1 cm} \forall g \in G
\end{equation}
\begin{equation}
\sum_{i \in V_{1}}\sum_{j \in V_{2}} \sum_{g \in G} v_{ijkg} \leq Q_{k} \hspace*{0.3 cm} \forall k \in K
\end{equation}
\begin{equation}
\sum_{j \in V_{2}} \sum_{k \in K} v_{ijkg} \leq W_{ig}, \hspace*{0.3 cm} \forall i \in V_{1}, \hspace*{0.1 cm} \forall g \in G
\end{equation}
\begin{equation}
d_{jg}y_{jk} \geq v_{ijkg}, \hspace*{0.3 cm} \forall i \in V_{1}, \hspace*{0.1 cm} \forall j \in V_{2}, \hspace*{0.1 cm} \forall k \in K, \hspace*{0.1 cm} \forall g \in G
\end{equation}
\begin{equation}
v_{ijkg} \leq Q_{k} \ast z_{i}, \hspace*{0.3 cm} \forall i \in V_{1}, \hspace*{0.1 cm} \forall j \in V_{2}, \hspace*{0.1 cm} \forall k \in K, \hspace*{0.1 cm} \forall g \in G
\end{equation}
\begin{equation}
v_{ijkg} \leq Q_{k} \ast F_{ik}, \hspace*{0.3 cm} \forall i \in V_{1}, \hspace*{0.1 cm} \forall j \in V_{2}, \hspace*{0.1 cm} \forall k \in K, \hspace*{0.1 cm} \forall g \in G
\end{equation}
\begin{equation}
\sum_{g \in G}v_{ijkg} \leq M \ast \sum_{s \in V} x_{sjk}, \hspace*{0.3 cm} \forall i \in V_{1}, \hspace*{0.1 cm} \forall j \in V_{2}, \hspace*{0.1 cm} k \in K
\end{equation}
\begin{equation}
\sum_{s \in V,s \neq h} x_{shk} - \sum_{s \in V,s \neq h} x_{hsk}=0,\hspace*{0.3 cm} \forall h \in V, \hspace{0.1 cm} \forall k \in K
\end{equation}
\begin{equation}
u_{jkg}-u_{lkg}+Q_{k}x_{jlk} \leq Q_{k}-\sum_{i \in V_{1}}v_{ijkg}, \hspace*{0.3 cm} \forall j,l \in V_{2},j \neq l, \hspace*{0.1 cm} \forall g \in G, \hspace*{0.1 cm} \forall k \in K
\end{equation}
\begin{equation}
\sum_{j \in V_{2}}x_{ijk} + \sum_{j \in V_{2}} x_{jik} \leq 2,\hspace*{0.3 cm} \forall i \in V_{1}, \hspace*{0.1 cm} \forall k \in K
\end{equation}
\begin{equation}
\sum_{i \in V_{1}} \sum_{j \in V_{2}} x_{ijk} \leq 1, \hspace*{0.3 cm} \forall k \in K
\end{equation}
\begin{equation}
\sum_{s \in V,s \neq j}x_{sjk}=y_{jk}, \hspace*{0.3 cm} \forall j \in V_{2}, \hspace*{0.1 cm} \forall k \in K
\end{equation}
\begin{equation}
\sum_{k \in K}F_{ik} \leq I \ast z_{i}, \hspace*{0.3 cm} \forall i \in V_{1}
\end{equation}
\begin{equation}
\sum_{j \in V_{2}} x_{ijk} = F_{ik}, \hspace*{0.3 cm} \forall i \in V_{1} \hspace*{0.1 cm} \forall k \in K
\end{equation}
\begin{equation}
\sum_{s \in V} \sum_{p \in V} T^{c}_{sp} x_{spk} \leq SRT, \hspace*{0.3 cm} \forall k \in K_{1}
\end{equation}
\begin{equation}
\sum_{s \in V} \sum_{p \in V} T^{h}_{sp} x_{spk} \leq SRT, \hspace*{0.3 cm} \forall k \in K_{2}
\end{equation}
\begin{equation}
\begin{split}
x_{spk} \in \{0,1\} \hspace*{0.1 cm} \forall s,p \in V,s \neq p, & \hspace*{0.1 cm} \forall k \in K \hspace*{0.2 cm} \\ y_{ik} \in \{0,1\}, \hspace*{0.1 cm} i \in V_{1} \hspace*{0.1 cm} \forall k \in K & \\ v_{ijkg} \in \mathbb{Z}^{+0}, \hspace*{0.1 cm} \forall i \in V_{1}, \hspace*{0.1 cm} \forall j \in V_{2}, \hspace*{0.1 cm} \forall & k \in K, \hspace*{0.1 cm} \forall g \in G \\ z_{i} \in \{0,1\}, \hspace*{0.1 cm} \forall i \in V_{1}& \\ F_{ik} \in \{0,1\}, \hspace*{0.1 cm} i \in V_{1} \hspace*{0.1 cm} \forall & ,k \in K \\ u_{jkg} \in \mathbb{Z}^{+}, \hspace*{0.1 cm} j \in V_{2} \hspace*{0.1 cm} \forall k \in & K, \hspace*{0.1 cm} \forall g \in G
\end{split}
\end{equation}
Here is a picture of some part of the output. The equations list take two entirely sheets.
any ideas? thanks in advance.
You could temporarily reduce the space above/below of the equations:
{
\addtolength{\belowdisplayskip}{-0.5ex}
\addtolength{\belowdisplayshortskip}{-0.5ex}
\addtolength{\abovedisplayskip}{-0.5ex}
\addtolength{\abovedisplayshortskip}{-0.5ex}
\begin{equation}
....
\end{equation}
\begin{equation}
....
\end{equation}
}