Question

What is the difference between these two expressions?

$→Rate= \frac{\Delta P}{\Delta t} \:$
and
$→Rate = \frac{\delta P}{\delta t} \:$
Spammers stay away..... Wrong answers and spams will be reported.....And those who will help me with correct answer will get their 10 points each.​

Answer 1

Explanation:

very widespread and popular way of representing Mathematics notation using only characters that you can type on a keyboard (see Wikipedia). This makes it a useful format to use in Moodle, since it can be entered anywhere you can type text, from forum posts to quiz questions.

TeX expressions can be entered in multiple ways:

typing them directly into texts.

using the Java-based Dragmath editor in Moodle's TinyMCE editor.

using the HTML-based equation editor in Moodle's Atto editor (since Moodle 2.7).

Afterwards, TeX expressions are rendered into Mathematics notation:

using the TeX filter in Moodle, which uses a TeX binary installed on the server to convert expressions into .gif images (or if that is not available, it falls back to a simple built-in mimetex binary).

using the MathJax_filter which identifies TeX expressions and uses the Mathjax JS library to render them in browsers at display time (since Moodle 2.7).

using other third-party solutions.

As you can imagine, the whole field is not as simple as we would like, especially because there are many flavours of TeX and slight variations between tools.

This page focusses only on using TeX in core Moodle. See the links at the bottom of this page for more information on setting up TeX editors and filters, including other tools from the Moodle community that may be suitable for advanced users.

WARNING: This Wiki environment uses a DIFFERENT TeX renderer to Moodle, especially when it comes to control sequences. For this reason images are sometimes used to represent what it should look like in Moodle. YMMV.

Language Conventions

To identify a TeX sequence in your text, surround it with $$ markers. To invoke a particular command or control sequence, use the backslash, \. A typical control sequence looks like:

$$ x\ =\ \frac{\sqrt{144}}{2}\ \times\ (y\ +\ 12) $$

cfmimetex10.gif

Fraction and square root.

Additional spaces can be placed into the equation using the \ without a trailing character.

Equation displayed on its own line

When an equation is surrounded by a pair of $$ markers, it is displayed centered on its own line. The $$’s are primitive TeX markers. With LaTeX, it is often recommended to use the pair \[ and \] to enclose equations, rather than the $$ markers, because the newer syntax checks for mistyped equations and better adjusts vertical spacing. If the TeX Notation filter is activated, which set a LaTeX renderer, the same equation as above is obtained with the following control sequence:

\[ x\ =\ \frac{\sqrt{144}}{2}\ \times\ (y\ +\ 12) \]

However, if the equation is mistyped, it will be displayed enclosed in a box to signal the mistake and if the equation appears in a new paragraph, the vertical space above the equation will adjust correctly.

Using \[ … \] instead of $$ … $$ may have other advantages. For example, with the Wiris equation editor installed, the Atto editor undesirably transforms the TeX code of equations enclosed with $$ into XML code, whereas it does not do so when the equations are enclosed with \[ and \].

Equation displayed within text

With the TeX notation filter activated, an equation is displayed within the text when it is surrounded by the pair \( and \). For example, the following:

The point \( \left( {{x}_{0}}+\frac{1}{p\left( {{x}_{0}} \right)}\ ,\ \frac{q\left( {{x}_{0}} \right)}{p\left( {{x}_{0}} \right)} \right) \) is located...

will display as follows:

TeXEquationWithinText.png

Note that the single $ marks may not work for this purpose.

Reserved Characters and Keywords

Most characters and numbers on the keyboard can be used at their default value. As with any computing language, though, there are a set of reserved characters and keywords that are used by the program for its own purposes. TeX Notation is no different, but it does have a very small set of Reserved Characters. This will not be a complete list of reserved characters, but some of these are:

@ # $ % ^ & * ( ) .

To use these characters in an equation just place the \ in front of them like \$ or \%. If you want to use the backslash, just use \backslash. The only exception here seems to be the &, ampersand.

Superscripts, Subscripts and Roots

Superscripts are recorded using the caret, ^, symbol. An example for a Maths class might be:

$$ 4^2 \ \times \ 4^3 \ = 4^5 $$

This is a shorthand way of saying:

(4 x 4) x (4 x 4 x 4) = (4 x 4 x 4 x 4 x 4)

or

16 x 64 = 1024.

{\displaystyle 4^{2}\ \times \ 4^{3}\ =4^{5}}

Subscripts are similar, but use the underscore character.

$$ 3x_2 \ \times \ 2x_3 $$

{\displaystyle 3x_{2}\ \times \ 2x_{3}}

This is OK if you want superscripts or subscripts, but square roots are a little different. This uses a control sequence.

$$ \sqrt{64} \ = \ 8 $$

{\displaystyle {\sqrt {64}}\ =\ 8}

You can also take this a little

{\displaystyle x_{1},\ x_{2},\ \ldots ,\ x_{n}}

this is your answer please mark me as a brain list

Written like: