OK thot I would suggest using the swiftkey keyboard if you are using a tablet

it has an easy access clipboard with user defined shortcuts very nice for latex equations and commonly needed templates

]]>

So thot I would jump off the diving board into the world of SAGE

However when I went to google for guiding light on this I got intimidated fast

So Does anyone done square one and more I would like some tips

I did some SAGE about a year ago but it was a University Lab with a lot of help

I have forgotten everything...

thanks ahead....

I do know that SAGE is collaborative with Latex so that is a big plus]]>

Can someone please help ... ...

I wanted the capital tau symbol as in the following text ...

Hope someone can help ...

Peter]]>

I am looking the following:

Describe and draw with Geogebra the region where the following functions are continuous:

- $f(x,y)=\ln (x-3y)$
- $f(x,y)=\cos^{-1}(xy)$

Do we have to find the region manually or is it possible to find it also using Geogebra? ]]>

I am looking at the following:

1. We have the function $f(x,y)=y-x^2-1$. Write the appropriate commands in Geogebra that draw a contour line with $f(x,y)=\frac{3709}{2000}$.

Could you give me a hint what command we have to use here? Do we just plot $y-x^2-1=\frac{1374}{2000}$ ?

2. Give the graph of the below functions in Geogebra and find the countour lines $f(x,y)=c$ where $c$ is in the interval $[0,10]$ and each contour line has to have distance from the next...

Contour lines in Geogebra]]>

the domain and range should be equal and want the normal xy axis not a box with tics only at the zeros

$$\begin{axis}

\addplot[

draw = blue,

domain=-2:2,

range=-2:2,

samples=50

] {exp(x^2-1)^2};

\end{axis}

\end{tikzpicture}$$

sorry thot it would render here???]]>

For example:

\(\displaystyle \enclose{circle}{x}\)

\enclose{circle}{x}

\(\displaystyle A \overset{u}{=} B\)

A \overset{u}{=} B

\(\displaystyle A \overset{u}{ \rightarrow} B\)

A \overset{u}{ \rightarrow } B

\(\displaystyle A \underset{d}{ \rightarrow } B\)

\underset{b}{ \rightarrow } B

\(\displaystyle A \overset{u}{\underset{d} \rightleftarrows} X\)

A \overset{u}{ \underset{d}...

Useful LaTeX code]]>

... ... ...

I am most interested in how/why we know that

\(\displaystyle \text{df} (h) = ( \)

\(\displaystyle \(\displaystyle \text{df} (h) = ( \)

\text{df}_1 (h), / ... / ... / ... /...

\)Help with recent post ...]]>

A friend on another site reached out to me with a question regarding using Excel. I told him I know nothing about it, but that I could probably find someone who does. Here is his question:

Excel Question (asking for a friend)]]>

but nutin shows up and get error message.

if possible I would like no grid but an xy axis with tick only where the graph goes thru the axis

and of course a dashed line of x=y

some of the ones demonstrated in stackexchange had too much decorations

anyway

im using overleaf so fat everything that tikx is used here works there]]>

Triple integral in R and "Cubature" package in R and the manually solving the problem]]>

I have a slight math disability, and it's often...

Math note-taking software for fast notes during lectures?]]>

this a pdf of an attempt to produce AP Calculus matching questions on a PDF

I am using overleaf

View attachment 9080

thanks much

you might have down load the pdf from the browser then open it in Acobat Reader DC for the choices to work

hopefully can get around this...

just hope you can open the PDF from Acobat Reader DC]]>

I encountered a strange problem ...

My text ...

Strange Problem with Post ...]]>

Wolfram Releases the Wolfram Engine for Developers!!]]>

However I have an optimization problem (minimization problem), and the table (attached fill) represents a comparative study between the results of two methods, the first one performed better than the second one and to quantify the effectiveness of the first method we computed the gap which equal to:

GAP=((Method2-method1)/method1)*100

To compute the average gaps I used the arithmetic mean which equal to...

I was wondering about which mean I should use? The geometric mean or the arithmetic mean.]]>

\(\displaystyle \text{det} ( v_1, \cdot \cdot \cdot , v_n ) = \text{det} ( \begin{bmatrix} a_{ 11} \\ \ \\ . \\ . \\ . \\ \ \\ a_{n1} \end{bmatrix} , \cdot \cdot \cdot , \begin{bmatrix} a_{ 1n} \\ \ \\ . \\ . \\ . \\ \ \\ a_{nn} \end{bmatrix} )\)

Help will be appreciated ...

Peter]]>

I recently wanted to correct a member's equation and wanted to highlight a change. I decided to change a letter's color to red:

\(\displaystyle T \left ( \left [ \begin{array}{c}x-2y \\ 3x-y \end{array} \right ] \right ) \)

I'd like to highlight the T: T

But this gives:

\(\displaystyle T \left ( \left [ \begin{array}{c}x-2y \\ 3x-y \end{array} \right ]...\)

Red]]>

ok I am trying to find out what the latex code is to do this.

whether or not it could be used here I do not know

but trying to see if a cell phone version of it could be created.

I think MHB could be advertised a lot if students could get these on their cell phone with MHB link and logo on it

Just a thot

]]>

i tried:

x = -pi : pi

But when i said plot (x,y)

Matlab says:

"Error using plot

Data must be numeric, datetime, duration or an array convertible to double"

(i already defined y interms of x, that function is ok)

so i culd not define x probably... how to do it?]]>

say for adding from index 1 to n for $x_k$ we write $\sum^{n}_{k=1}x_k$.

how do we write the above for index to go from n to 1 down wards]]>

My attempt to produce the long over-arrow was to use the Latex Code \vec{ f(a) f(x) } ... but this only produced a short over-arrow as follows:

\(\displaystyle \vec{ f(a) f(x) }\) ... ...

How do I produce a long over-arrow like that in...

Long over-arrow ...]]>

Synthetic division with Latex

I tried an array but too much open space

Mahalo]]>

\begin{enumerate}[label=(\alph*)]

\item How

\item Now

\item Brown

\item Cow

\end{enumerate}

would be nice but don't see it]]>

Help will be much appreciated ...

Peter

==========================================================================

It may help readers of the above post to hve access to Searcoid's text of Definition 1.3.4 ... so I am providing a scan of the same ... as follows ...

Hope that helps ...

Peter]]>

Can anyone recommend a competitor to ALEKS (which I used to use but gave up on when they revamped the lay out)

Besides which, I have reason to believe that ALEKS may not be best value in computer-assisted math learning.

Thanks for any tips, suggestions, anecdotes, good jokes and/or references to good software

Michael

aka Lebec

aka DeusAbscondus]]>

I wanted to use f subscript P and g subscript P in the text ... but the letter P looks as if it...

Subscripts that look like subscripts ...]]>

Peter]]>

\(\displaystyle \begin{array}{c||c|c|c|c|}

V & e & a & b & c \\

\hline \hline

e & e & a & b & c \\

a & a & e & c & b \\

b & b & c & e & a \\

c & c & b & a & e

\end{array}

\)

The LaTeX on the forum doesn't like the double lines || or = (as lines, not the equal sign!). Does anyone know how to make the lines bold faced or something? I feel the top line and first vertical line should be singled out in some way.

-Dan]]>

But this was in the preamble

how do you use this?

%THEOREMS ETC

\theoremstyle{definition}

\newtheorem{theorem}{Theorem}[section]

\newtheorem{lemma}[theorem]{Lemma}

\newtheorem{proposition}[theorem]{Proposition}

\newtheorem{definition}[theorem]{Definition}

\newtheorem*{defn}{Definition}

\newtheorem{cor}[theorem]{Corollary}

\newtheorem{remark}[theorem]{Remark}

\newtheorem{example}{Example}...

But this was in the preamble]]>

Thanks!

-Dan]]>

[MATH]n=\left\lceil\frac{\ln\left(\dfrac{50}{3}\right)}{\ln(1.03)}\right\rceil[/MATH]

On my browser, that formula displays in a strange way:

Is that a quirk of my browser, or do other people get the same unbalanced delimiters?

If I replace the...

Lopsided display]]>

My name is itay and i am a developer.

I've recently uploaded a new app on the subject of math.

My new app - Enjoy Math, offers a new and refreshing way to practice math. There you can solve exercises with varying degrees of difficulty

levels, keep track of your progress and gain score for each math subject you practice in.

Math subjects:

Addition

Subtraction

Multiply

Division

Squaring

Percentages

Exponentiation

Equations

Link to google play store listing...

New math practice app]]>

I have only touched these programs

the reviews I read on Mathcad don't seem to be very good

yet some community colleges here worship it

I am very reluctant to dive into it

On SAGE

never heard of it until we had to do a project with it in Linear Algebra

kinda liked it feels kinda beta type

with it we used CoCalc with was kinda wow with first impression

it sure banged out hefty matrices nice

the two magic words I heard was...

Mathcad and SAGE and CoCalc]]>

I am trying to draw a square with the four points A, B, C, and D labeled along with functions listed by each "arrow." I based my code on the triangle that was on the tikz example. Something is obviously wrong.

Heck I'd just be happy to get the square to show.

Code:

```
\begin{tikzpicture}[blue]
\coordinate (A) at (0,0);
\coordinate (B) at (4,0);
\coordinate (D) at (4,4);
\coordinate (C) at (0,4);
\draw[blue, ultra thick] (A) -- (B) -- (D) --...
```

I wished to display a term with a subscript on a subscript as follows: N_i_j ...

But got an error ... can someone please help ...

Peter]]>

However, I want the graph to be limited so that only values within the circle r=3.45 and r=9 are shown. I have tried using the curly brackets {3.45 <= r <= 9}, however this returns an error "You cannot multiply a point by a number". I have spent several hours searching for a fix to this, but to no avail. The built-in "t" restriction does not restrict...

Restricting Values in Desmos error (for a complicated parametric point).]]>

\left\mid \frac{f_j ( a + h ) - f_j (a)}{ h } - x_j \right\mid^2 \le \| \frac{ f( a + h ) - f(a) }{ h } - ( x_1, \ ... \ ... \ , x_m ) \|^2

The code failed ... but why?

Can someone please help ...

Peter]]>

[ASK] Math Type in MS Word - Expressions Problematic]]>

" ... ... In order to demonstrate that \(\displaystyle K\) is closed, we prove that \(\displaystyle \mathbb{R}^n\K\) is open. Indeed, choose \(\displaystyle y \notin K\) and define \(\displaystyle O_j = \{ x \in \mathbb{R}^n \ \mid \ \mid \mid x - y \mid \mid \gt \frac{1}{j} \}\) for \(\displaystyle j \in \mathbb{N}\). ... ... "

... and (as I did above) got a red \K in \mathbb{R}^n\K presumably because I'm misusing a special character \ in the...

Latex Code for One Set Minus Another ... ... A\B ... ...]]>

\(\displaystyle x = \frac{ \langle x, y \rangle }{ \mid \mid y \mid \mid^2} y + ( x - \frac{ \langle x, y \rangle }{ \mid \mid y \mid \mid^2} y ) \)

... ... but in order to use \left and \right I need to also use the Latex Code for ( and ) ... but what is the code for a left and right parenthesis ... ?

Hope someone can help ...

Peter]]>

1. It tiles your input and output files automatically for you - one severe disadvantage of a vim setup unless you're extraordinary with scripting. I find this invaluable for lots of small files, and I also find it annoying that a number of $\LaTeX$ editors don't even...

Excellent Way to Get Your Feet Wet with Longer Documents]]>

Code:

```
\begin{problem}[1.]
Find the sum of the infinite...
```

x^3 + y = z^2

How do I use the QUICK LATEX box to convert this equation in LaTex form?]]>

them with straight line segments. So, here $y$ is a vector with $n$ entries

$(1; y(1)); (2; y(2)); (3; y(3)); : : : ; (n; y(n)):$

So the matlab command is given below for an example:

Code:

```
y = [1 -3 3 -4];
>> plot(y)
```

We can also define them in function form where each $x$ value corresponds to an output- $y$ value.

Code is given below...

Quick crash course in Matlab]]>

Code:

```
% example for ODE and Gillespie
% one reversible reaction
b1 = .033;
bo = .00047;
a1 = .0022;
ao = .00055;
Aini = 5168;
Bini = 34;
%% Basic ODE simulation
dt = 0.01;
Tmax = 1;
TV = (0:dt:Tmax)';
NT = length(TV);
ABVals = zeros(size(TV,1),2);
A=Aini;
B=Bini;
ABVals(1,:) = [A, B];
% loop over times
for it=2:NT
dAdt = - b1*A*B + bo*A;
dBdt...
```

Code:

```
function ode45_both_age
%--------------------------------------------------------------------------
% Solves the sensitivity equations for the age structure omnivory model.
%
% Input: None
%
% Output: Graphs of norms of sensitivities over time...
```

View attachment 7536

Hope that someone can help ...

Peter]]>

Code:

```
\documentclass[12pt]{article}
\usepackage{graphicx}
\addtolength{\textwidth}{1.5in}
\addtolength{\hoffset}{-1.in}
\addtolength{\textheight}{2.0in}
%\addtolength{\voffset}{-1.68in}
\addtolength{\voffset}{-0.8in}
\newcommand {\rreal}{\mbox{$R\!\!\!\!\!l\,\,\,\,$}}
\newcommand{\graphspace}{\vspace{2in}}
\newcommand{\eqnspace}{\hspace{.1in}}
\newcommand{\toppageoneexam}{\vspace{-.4in} \mbox{ } \hspace{-.6in}
\parbox[t]{7.8in}
{\noindent {\bf Name:} \hspace{.01in}...
```

Anyways, here is the start of the .tex file, you put your information below this in the .tex file. Please note, the...

Preamble for setting up a latex/pdf for homework or writing test.]]>

Code:

```
\chapter{Sensitivity Analysis}
The first step in our method to obtain the sensitivity of each parameter value is to differentiate the right hand side of each model with respect to each model parameter. The partial derivatives for the right hand side of our linear response model (\ref{ivplinear}) are contained in Table 7.1 . Table 7.2 lists the associated partials for our stage structured model (\ref{ivp22}). We note that each resulting partial in Table 7.1 and Table 7.2 are...
```

Code:

```
\chapter{Stage Structured Omnivory Model}
%\indent For our initial computations we will be using a standard Lotka-Volterra omnivory model which was developed to analyze the population and community level dynamics. The model depicted below (figure 1.4) is a standard Lotka-Volterra model of omnivory.Also for mathematical computations, we will say this model of omnivory is a model consisting of only one predator [P] , one consumer [C], and one resource [R]. The model is given below in...
```

Code:

```
\documentclass[10pt]{beamer}
\setbeamertemplate{theorems}[numbered]
\usetheme[progressbar=frametitle]{metropolis}
\usepackage{appendixnumberbeamer}
\usepackage{booktabs}
\usepackage[scale=2]{ccicons}
\usepackage{pgfplots}
\usepgfplotslibrary{dateplot}
\usepackage{xspace}
\newcommand{\themename}{\textbf{\textsc{metropolis}}\xspace}
\newcommand{\oper}[3]{[#1#2](#3)}
\newcommand{\domain}[1]{\mathcal{D}(#1) \equiv H^1_0(0,1) \cap H^2(0,1)}
\newcommand{\Rone}{{\rm I\! R_+}}...
```

Code:

```
\begin{lemma}\cite{Birk},\cite{Vance}
Let S be a differentiable function on [a, b].\\
Part A: If S satisfies the differential inequality
\begin{equation}\label{219} S'(t)\leq \lambda S(t), \hspace{.80cm} a\leq t\leq b \end{equation}
where $\lambda$ is a constant and $\lambda >0$, then
\begin{equation}\label{220} S(t)\leq S(a)e^{\lambda (t-a)} \mbox{ for } a\leq t\leq b.\end{equation}
Part B: If S satisfies the differential inequality
\begin{equation}\label{221} S'(t) +...
```

Please note this code is only for one mfile, you will need to add them all to the same file path for it to work. Others will be in the next post. They have to run simultaneously to work and give output.

Code:

```
function dydt = rhs_both_age(~,y,flag,p,eRP,eCP,eRC,aRP,aCP,aRC,hRP,hCP,hRC,mP,mC,nP,r,K,mJ)
%--------------------------------------------------------------------------
% Simultaniously computes the right hand sides of the state and...
```

Code:

```
% example for ODE and Gillespie
% one reversible reaction
b1 = .033;
bo = .00047;
a1 = .0022;
ao = .00055;
Aini = 5168;
Bini = 34;
%% Basic ODE simulation
dt = 0.01;
Tmax = 1;
TV = (0:dt:Tmax)';
NT = length(TV);
ABVals = zeros(size(TV,1),2);
A=Aini;
B=Bini;
ABVals(1,:) = [A, B];
% loop over times
for it=2:NT
dAdt = - b1*A*B + bo*A;
dBdt = a1*B*A...
```

However, I cant find one of the online editors that seems compatible with the one here on MHB.

Also, I have tried to compose a problem from an outside editor and c/p it here but there are always issues

usually its the $ signs or problems mixing text with math.

Also, since many of us use tablets there's no way to do an undo. If you put a () set in the wrong place its a pain to backspace...

cut and paste in to other Latex editors]]>

\usepackage{amsmath}

\usepackage{amssymb}

\usepackage{amsthm}

\newtheorem{definition}{Definition}

\newtheorem{theorem}{Theorem}

\newtheorem{lemma}{Lemma}

%

% THIS IS THE PLACE FOR YOUR OWN DEFINITIONS

\newcommand{\oper}[3]{[#1#2](#3)}

\newcommand{\domain}[1]{\mathcal{D}(#1) \equiv H^1_0(0,1) \cap H^2(0,1)}...

LaTex definitions (very common ones) which are very simple to use.]]>

It is a style to allow Title, Signatures, Dedication, Table of Contents, Main Matter (Chapter and Sections), Biblio., and approval letter. Edit it to your liking; just make sure all the files are containted within the same folder or Latex will return an error.

\NeedsTeXFormat{LaTeX2e}

\ProvidesPackage{muthesis}[2016/01/22 v2016a Marshall University Thesis Class]

\typeout {Package: `muthesis' v2016a 2016/01/22}...

Building thesis or dissertation using package\style code.]]>

The Latex expression that is the problem is

\left\lvert \int_a^b \lvert \gamma^' (t) \rvert \ dt - \sum_{ k = 1 }^m \lvert \gamma^' ( \tau_k ) \rvert ( t_k - t_{ k - 1 } ) \right\rvert \lt \epsilon

It shows in the post as

\displaystyle \left\lvert \int_a^b \lvert \gamma^' (t) \rvert \ dt - \sum_{ k = 1 }^m \lvert \gamma^' ( \tau_k )...

Help with my post - Latex Error ...]]>

View attachment 7344

Hope someone can help ...

Peter]]>

\(\displaystyle \text{lim}_{ x \rightarrow 0+ } \frac{ F( c + h ) - F(c) }{h} = f(c) \)

How does one get the \(\displaystyle x \rightarrow 0+\) to appear under the text "lim" as in the following:

View attachment 7328

Help will be appreciated ...

Peter]]>

I was interested in using the \ifthenelse construct in one of my diagrams, and wanted to know how I would go about adding support for the "ifthen" package. ]]>

To be fair, using $\LaTeX$ on our forum usually just boils down to creating math formulas.

We have a dedicated sub forum for that: the Math Formulas (MathJax) subforum, where we can find sticky threads giving more details.

Additionally, we have another dedicated sub forum for pictures that are also supported on

That sub forum is the...

Question: How should we use math formulas on MHB? Answer: Check the Math Formulas sub forum.]]>

Some of the threads in this forum - ones that are formula (MathJax) specific - have been moved to the Math Formulas (MathJax) sub-forum.

So, if you've posted here and don't see the thread, check over there.

Thanks,

greg1313]]>

We are very excited to announce the introduction of TikZ pictures.

MHB is the very first math site ever to allow members to post TikZ pictures!

To add for instance a plot, we can now use:

[LATEXS]

\begin{tikzpicture}

%preamble \usepackage{pgfplots}

\begin{axis}

\addplot coordinates {(0,1) (0.5,1) (1,1.2)};

\end{axis}

\end{tikzpicture}

[/LATEXS]

\begin{tikzpicture}

%preamble \usepackage{pgfplots}

\begin{axis}

\addplot coordinates {(0,1) (0.5,1)...

TikZ Announcement]]>

Code:

```
\begin{tikzpicture}[scale = 0.75]
%preamble \usepackage{pgfplots}
\begin{axis}
[xlabel=Exposure,
ylabel=Benefit]
\end{axis}
\draw[black, line width = 0.50mm] plot[smooth,domain=0:6] (\x, {4-(\x-3)^2});
\end{tikzpicture}
```

\begin{tikzpicture}[scale = 0.75]

%preamble \usepackage{pgfplots}

\begin{axis}

[xlabel=Exposure,

ylabel=Benefit]

\end{axis}

\draw[black, line width = 0.50mm]...

TiKZ Question on Plotting a Parabola]]>

View attachment 7026

Can anyone tell me the Latex code to form this symbol ...?

Peter]]>

Thanks,

Bob Mathews

Design Science]]>

Peter\)

Delimiter \$ and Delimiter ]]>

Can anyone help me with displaying the cube root of 2 as shown in the example below taken from Dummit and Foote, Section 13.4 ...

View attachment 6605

Help will be appreciated,

Peter

*** EDIT ***

Just found what I think is the solution ... it's \sqrt [3] {2} I think

\(\displaystyle \sqrt [3] {2}\)]]>

Peter]]>

Leader Dots in the Table of Contents]]>

I'll begin with a Sudoku 3D cube:

\begin{tikzpicture}[every node/.style={minimum size=1cm},on grid]

%preamble \usetikzlibrary{positioning}...

TikZ Examples]]>

Nevermind. Figured It Out.]]>

I am trying for now Overleaf their free version. So far not a bad program. But cut and paste from MHB seems to have issues and some math calls are not recognized like \arccosh, also here and there problems with the $$

Not sure what editor is ideal...

online lateX editors]]>

I am a software engineering student from Buenos Aires and in my freshman year I started to develop this app as a project for a math subject called "Discrete Math". A year after that one I noticed that some other students began to use it as a helping tool for that subject so I decided to improve it and add new calculation modules...

Logic Math Calculator]]>

I'm writing this section but I'm not sure if is the right one

I wonder if is possible to import an Excel Table (with copy and paste) from excel into the forum with line and boarders

Thank you for your help

7 mag 2014 10:20 1,3928

7 mag 2014 10:25 1,3926

7 mag 2014 10:30 1,3925

7 mag 2014 10:35 1,3924

7 mag 2014 10:40 1,3923

7 mag 2014 10:45 1,3917

7 mag 2014 10:50 1,3917

7 mag 2014 10:55 1,3919

7 mag 2014 11:00 1,3913

7 mag 2014 11:05 1,3914

7 mag 2014 11:10 1,3912

7 mag...

Excel tables]]>

\bigcap_\Delta M_\alpha

I get

\(\displaystyle \bigcap_\Delta M_\alpha\) ... ...

How do I get the index set \(\displaystyle \Delta\) alongside \(\displaystyle \bigcap\) as in the following text from Paul Bland's book "Rings and Their Modules" ... ... ?

View attachment 5836

Hope someone can help ....

Peter]]>

The function is h(t)= 20+(1/2pi)cos(2pit)+tsen(2pit)

t is a variable representing the time

xmin is 0

xmax is 1.

ymin is 19.

ymax is 21

You have to intersect it after with 19,5.

This exercise was on my maths 2016 exam (1st phase) and it's not showing the same graph as the resolution.

I attached the picture of what it should look like the correct one

And the one that...

TI 84 plus not showing graph correctly,help?]]>

I get this both on this site and also when I write HTML using mathjax.

When I preview this post I don't get the vertical bar. It seems a bit random.

Am I doing something wrong? Can I reliably avoid what looks like an edge on the math image?]]>

I've even found sites like this and this which are helpful but not exactly what...

Drawing vectors]]>

I let Mathematica run the following command:

HTML:

`Solve[16 x^4 - 40 a x^3 + (15 a^2 + 24 b) x^2 - 18 a b x + 3 b^2 == 0 && 5 a x - 4 x^2 - b > 0 && 15 a x - 20 x^2 - 3 b < 0 && 4 x^3 - 8 c x^2 + 5 a c x - c b < 0 && a < 0 && x < 0 && c < 0, x]`

HTML:

`Solve[16 x^4 - 40 a x^3 + (15 a^2 + 24 b) x^2 - 18 a b x + 3...`

View attachment 5395

but when i use the Latex code

\bigoplus_{ (e,f) } \mathbb{K} (e, f)

I get the (e, f) in slightly the wrong place as here:

\(\displaystyle \bigoplus_{ (e,f) } \mathbb{K} (e, f)\)

How can I get the same symbol as Knapp does?

Hope someone can help ...

Peter]]>

????]]>

= \(\displaystyle \begin{pmatrix} \frac{ \partial F_1}{ \partial x_1} & \frac{ \partial F_1}{ \partial x_2} \\ \frac{ \partial F_2}{ \partial x_1} & \frac{ \partial F_2}{ \partial x_2} \\ \frac{ \partial F_3}{ \partial x_1} & \frac{ \partial F_3}{ \partial x_2} \end{pmatrix} \)

But it won't display ... comes up with an error ...

Actual Latex code is as follows:

\begin{pmatrix} \frac{ \partial...

Supposed to be a Jacobian - What is wrong?]]>

in the output we write f(x) within square brackets and limit on the right.

how do I write in latex

thanks in advance.]]>

\begin{aligned} \begin{array}{cc|c|c|c|}

* && e & r & r^2& r^3& r^4& r^5& f& rf& r^2f& r^3f& r^{4}f& r^{5}f\\

\\

\hline

e && e & r & r^2& r^3& r^4& r^5& f& rf& r^2f& r^3f& r^{4}f& r^{5}f \\

\hline

r && r & r^2 & r^3& r^4& r^5& f& rf& r^2f& r^3f& r^{4}f& r^{5}f & f \\

\hline

r^2 && r^2 & r^3& r^4& r^5& f& rf& r^2f& r^3f& r^{4}f& r^{5}f & f & rf \\

\hline

r^3 && r^3& r^4& r^5& f& rf& r^2f& r^3f& r^{4}f& r^{5}f & f & rf & r^2f \\

\hline

r^4 &&...

How do I draw this table on LaTeX?]]>

determine a polar equation for circle satisfying the given conditions: the radius is $2$, and the polar coordinates for the center are: $\left(4,0\right)$

I got ${r}^{2}-8r\cos\left({\theta}\right)=-12$

But when I try to plot this to DESMOS get nutin.]]>

I need help with what C&H call the 'dandah' or more specifically symbols with a dandah through them ...

The relevant text in C&H explaining and showing the use of the dandah is as follows (C&H page 17) ...

View attachment 5002

In the above text we read the following:

" ... ... we discharge \(\displaystyle \phi\) by writing...

Mathematical Logic - Dandah symbol for discharging assumptions ...]]>

Using the desmos graphing calculator using the table feature

I wanted to plot the points every $\frac{\pi}{12}$

$0<\theta<2\pi$

For $r=-2-3\sin(\theta)$

On a polar coordinate graph]]>

I have written the following code in matlab:

Code:

```
function v=uexact(x,t)
v=sin(2*pi*x)*exp(-4*pi^2*t);
end
function [ex]=test3
h = 1/50;
T=1/2500;
x=0:h:1;
t=0:T:1;
ex=uexact(x,t);
end
```

I get the following warning message:

[m]

??? Error using ==> mtimes

Inner matrix dimensions must agree.

Error in ==> uexact at 3

v=sin(2*pi*x)*exp(-4*pi^2*t)...

Error in matlab]]>

View attachment 4913

Can someone help with the Latex code for the symbol ... ...

Peter]]>

What does a loglog-graph represent?

For example if we have the following loglog-graph, which is the relation between $N$ and $E$ ?

]]>

[h=1]Irreducible Polynomials and Quotient Rings - Rotman Proposition 3.116[/h]on the Linear and Abstract Algebra Forum ...

I want to have the following code recognised:

k(z) \subseteq \text{ im } \phi

recognised ... BUT when I highlight the text and press sigma, the result is as follows: ...

Problem]]>

_____ 4-x^2, x < -2

h(x) = 3 + x, -2 \le x < 0

_____x^2 + 1, x \ge 0

It's hard enough to figure out how to enter that in here, even more so to figure out to enter it into WolframlAlpha!

And that's like a set of a function, you know, it would usually be written with one large { to the...

WolframAlpha confusion...]]>