| ID |
latex |
name |
argument count |
description |
used in expression |
used in derivation |
reference |
|
0001094924
|
\(\cdot\)
\cdot |
multiplication |
2 |
multiply two terms |
|
|
|
|
0001130211
|
\(\arctan\)
\arctan |
arc tangent |
1 |
|
|
|
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions |
|
0001299288
|
\(\det\)
\det |
determinant |
1 |
|
|
|
https://en.wikipedia.org/wiki/Determinant |
|
0002090103
|
\(\coth\)
\coth |
hyperbolic cotangent |
1 |
|
|
|
https://en.wikipedia.org/wiki/Hyperbolic_function |
|
0002222105
|
\(\vec{\nabla}\)
\vec{\nabla} |
gradient |
1 |
|
|
|
|
|
0002222144
|
\(\sin\)
\sin |
sine |
1 |
|
|
|
|
|
0002222278
|
\(\times\)
\times |
cross product |
2 |
|
|
|
|
|
0002222280
|
\(\int\)
\int |
definite integral |
4 |
|
|
|
|
|
0002222329
|
\(f\)
f |
function |
1 |
|
|
|
|
|
0002222348
|
\(\sum\)
\sum |
summation |
4 |
|
- 7764834870
\(f(x)=\sum_{n=0}^{\infty} \frac{f^n(a)}{n!} (x-a)^n\)
- 8637447837
\(f(x)=\sum_{n=0}^{\infty} \frac{f^n(0)}{n!} x^n\)
|
|
|
|
0002222427
|
\(-\)
- |
subtraction |
2 |
|
- 7764834870
\(f(x)=\sum_{n=0}^{\infty} \frac{f^n(a)}{n!} (x-a)^n\)
|
|
|
|
0002222435
|
\(+\)
+ |
element-wise addition |
2 |
|
|
|
|
|
0002222439
|
\(\vec{\nabla}\)
\vec{\nabla} |
spatial vector differential |
2 |
|
|
|
|
|
0002222455
|
\(\circ\)
\circ |
dot product |
2 |
|
|
|
|
|
0002222591
|
\(\vec{\nabla} \cdot\)
\vec{\nabla} \cdot |
divergence |
1 |
|
|
|
|
|
0002222657
|
\(\int\)
\int |
indefinite intergral |
2 |
|
|
|
|
|
0002222764
|
\(+\)
+ |
addition |
2 |
|
- 9605409442
\(f(x)=f(0)+f'(x)\ x + \frac{f''(x)\ x^2}{2!} + \frac{f'''(x)\ x^3}{3!} + ...\)
- 3829492824
\(\frac{1}{2}\left(\exp(i x)+\exp(-i x) \right)=\cos(x)\)
|
|
|
|
0002222829
|
\(*\)
* |
multiplication |
2 |
|
|
|
|
|
0002222891
|
\(/\)
/ |
division |
2 |
|
|
|
|
|
0002222896
|
\(\vec{\nabla} \times\)
\vec{\nabla} \times |
curl |
1 |
|
|
|
|
|
0002222940
|
\(\cos\)
\cos |
cosine |
1 |
|
|
|
|
|
0002495151
|
\(!\)
! |
factorial |
1 |
|
- 7764834870
\(f(x)=\sum_{n=0}^{\infty} \frac{f^n(a)}{n!} (x-a)^n\)
- 9605409442
\(f(x)=f(0)+f'(x)\ x + \frac{f''(x)\ x^2}{2!} + \frac{f'''(x)\ x^3}{3!} + ...\)
- 8637447837
\(f(x)=\sum_{n=0}^{\infty} \frac{f^n(0)}{n!} x^n\)
|
|
https://en.wikipedia.org/wiki/Factorial |
|
0002532789
|
\(\tan\)
\tan |
tangent |
1 |
|
|
|
https://en.wikipedia.org/wiki/Trigonometric_functions |
|
0002841881
|
\(\sinh\)
\sinh |
hyperbolic sine |
1 |
|
|
|
https://en.wikipedia.org/wiki/Hyperbolic_function |
|
0003382639
|
\(\cot\)
\cot |
cotangent |
1 |
|
|
|
https://en.wikipedia.org/wiki/Trigonometric_functions |
|
0003403771
|
\(\log\)
\log |
log, arbitrary base |
2 |
default base 10 |
|
|
|
|
0003530844
|
\(\mod{}\)
\mod{} |
modulo |
2 |
|
|
|
|
|
0004352752
|
\(\tanh\)
\tanh |
hyperbolic tangent |
1 |
|
|
|
https://en.wikipedia.org/wiki/Hyperbolic_function |
|
0004426238
|
\(\div\)
\div |
divide |
2 |
division |
|
|
|
|
0004958131
|
\(\max\)
\max |
maximum |
1 |
|
|
|
|
|
0005560743
|
\(\arcsin\)
\arcsin |
arc sine |
1 |
|
|
|
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions |
|
0005818852
|
\(\cosh\)
\cosh |
hyperbolic cosine |
1 |
|
|
|
https://en.wikipedia.org/wiki/Hyperbolic_function |
|
0006151818
|
\(\arccos\)
\arccos |
arc cosine |
1 |
|
|
|
https://en.wikipedia.org/wiki/Inverse_trigonometric_functions |
|
0006521282
|
\(\ln\)
\ln |
natural logarithm |
1 |
|
|
|
|
|
0006739965
|
\(\sec\)
\sec |
secant |
1 |
|
|
|
https://en.wikipedia.org/wiki/Trigonometric_functions |
|
0007843744
|
\(\sqrt{}\)
\sqrt{} |
square root |
1 |
|
|
|
https://en.wikipedia.org/wiki/Square_root |
|
0008632687
|
\(\exp\)
\exp |
exponential function |
1 |
|
|
|
https://en.wikipedia.org/wiki/Exponential_function |
|
0008940007
|
\(\oint\)
\oint |
indefinite surface integral |
2 |
|
|
|
|
|
0009780858
|
\(\csc\)
\csc |
cosecant |
1 |
|
|
|
https://en.wikipedia.org/wiki/Trigonometric_functions |
|
0009993766
|
\(\min\)
\min |
minimum |
1 |
|
|
|
|
|
2288488773
|
\(\arg\)
\arg |
Complex argument |
1 |
determine the phase of a complex value |
|
|
https://en.wikipedia.org/wiki/Argument_(complex_analysis) |