Tuesday

LaTeX: Mathematical operations using pgfmath and pgffor packages

Input file name: mathematics1_pgfmath_pgffor.tex
{
\documentclass[12pt,a4paper]{article}
\usepackage{pgfmath,pgffor}

\begin{document}

1 $+$ 2 $\times$ 3 = \pgfmathparse{int(1+2*3)}\pgfmathresult

2.0 $+$ 3.0 $\times$ 4.0 = \pgfmathsetmacro{\result}{2+3*4}\result

(1.0 $+$ 2.0) $\times$ 3.0 = \pgfmathparse{(1.0+2.0)*3.0}\pgfmathresult

%r to convert from radians to degrees, pi radians is 180 degrees
sin(pi/2 radians) = \pgfmathparse{round(sin(pi/2 r))}\pgfmathresult

sin(90 degrees) = \pgfmathparse{sin(90)}\pgfmathresult

$15^{3}$ = \pgfmathparse{int(15^3)}\pgfmathresult

15 power of 3 = \pgfmathparse{int(pow(15,3))}\pgfmathresult

$\sqrt{2}$ = \pgfmathparse{sqrt(2)}\pgfmathresult

pi = \pgfmathparse{pi}\pgfmathresult

pi radians to degrees = \pgfmathparse{int(round(pi r))}\pgfmathresult

radian(180 degrees) = \pgfmathparse{rad(180)}\pgfmathresult

degree(pi radians) = \pgfmathparse{int(round(deg(pi)))}\pgfmathresult

% generate a pseudo-random number between 0 and 1
rnd(0,1) = \pgfmathparse{rnd}\pgfmathresult

% generate a pseudo-random number between -1 and 1
rand(-1,1) = \pgfmathparse{rand}\pgfmathresult

\foreach \x in {1,2,...,10} {\x \hspace{5pt}} %\linebreak[4]

\pagebreak

{
\noindent
\foreach \i in {1,2,...,30}
{
$\i^{2}$ = \pgfmathparse{int(\i^2)}\pgfmathresult \\
}
}

\pagebreak

{
\noindent
\foreach \i in {1,2,...,15}
{
$\i^{3}$ = \pgfmathparse{int(\i^3)}\pgfmathresult \\
}
}

\end{document}
}

Output:
1 + 2 × 3 = 7
2.0 + 3.0 × 4.0 = 14.0
(1.0 + 2.0) × 3.0 = 9.0
sin(pi/2 radians) = 1.0
sin(90 degrees) = 1.0
15^{3} = 3375
15 power of 3 = 3375
2 = 1.41421
pi = 3.141592654
pi radians to degrees = 180
radian(180 degrees) = 3.14159
degree(pi radians) = 180
rnd(0,1) = 0.28926
rand(-1,1) = -0.79707
1 2 3 4 5 6 7 8 9 10


1^2 = 1
2
^2 = 4
3
^2 = 9
4
^2 = 16
5
^2 = 25
6
^2 = 36
7
^2 = 49
8
^2 = 64
9
^2 = 81
10
^2 = 100
11
^2 = 121
12
^2 = 144
13
^2 = 169
14
^2 = 196
15
^2 = 225
16
^2 = 256
17
^2 = 289
18
^2 = 324
19
^2 = 361
20
^2 = 400
21
^2 = 441
22
^2 = 484
23
^2 = 529
24
^2 = 576
25
^2 = 625
26
^2 = 676
27
^2 = 729
28
^2 = 784
29
^2 = 841
30
^2 = 900

1^3 = 1
2
^3 = 8
3
^3 = 27
4
^3 = 64
5
^3 = 125
6
^3 = 216
7
^3 = 343
8
^3 = 512
9
^3 = 729
10
^3 = 1000
11
^3 = 1331
12
^3 = 1728
13
^3 = 2197
14
^3 = 2744
15
^3 = 3375

If a hater attacked your age and not the goodness of you

Whether young or old, I've always been known what endures. I've known the very idea of people that were all created equal and deserv...