Question

Math Expressions in LaTeX (Practice)

Answer 1

goals:

- learn the basic syntax of latex
- insert mathematical symbols
- format certain mathematical expressions such as fractions, matrices, and integrals

Answer 2

\[a \pm b\]

\ open bracket a \pm b\ close bracket

Answer 3

\[a \le b\]

\ open bracket a \le b\ close bracket

use ge for greater than or equal to

Answer 4

\[a \approx b\]

\ open bracket a \approx \b close bracket

use \neq for not equal to

Answer 5

\[\alpha\]

\alpha for alpha symbol, substitute with the appropriate code as necessary
\beta

Answer 6

\[\int\limits_{a}^{b}\]

\int\limits_{lowerlimit}^{upperlimit}

for integrals

Answer 7

\[\sum_{a}^{b}\]

\sum_{lower limit}^{upper limit}

for sigma notation/summation

Answer 8

\[\lim_{a \rightarrow b}\]

\limit_{a \rightarrow b}

limit notation

Answer 9

\[\leftarrow\]

\leftarrow or \rightarrow

useful for showing steps or for chemical equations

Answer 10

\[\Rightarrow\]

\Rightarrow with capital R

implication arrow

Answer 11

\[\sqrt[exponent]{radicand}\]

\sqrt[exponent]{radicand}

Answer 12

\[f\prime \prime\]
\prime

for derivatives or for distinguishing elements with the same name

Answer 13

as a side note square brackets are typically used for optional arguments and curly braces are used for required arguments, as with the radical example

Answer 14

\[\log_{base} \]

\log_{base}

use ln instead of log for natural log

Answer 15

\[\sin (x)\]

\sin(x) can replace with cos, tan, sinh, cosh, tanh, etc.

Answer 16

\[\sin^{-1} (x)\]

\sin^{-1} for inverse trig functions

Answer 17

\[\frac{ a }{ b }\]

\frac{numerator}{denominator}

Answer 18

\[\left[\begin{matrix}entry 1 & entry 2 \\ entry 3 & entry 4\end{matrix}\right]\]

\left[\begin{matrix}entry 1 & entry 2 \\ entry 3 & entry 4\end{matrix}\right]

use \\ to separate rows and & to separate entries within row