Mathematical notation recognized by WeBWorK
Jump to navigation
Jump to search
Operators
Operators recognized by WeBWorK, in order from highest to lowest precedence. Not all operators are available in all problems.
Operator | Prec. | Type | Associativity | Description |
---|---|---|---|---|
_
|
9 | binary | left | Vector and matrix element extraction |
!
|
8 | unary | right | Factorial |
^
|
7 | binary | right | Exponentiation |
**
|
7 | binary | right | Exponentiation |
+
|
6 | unary | left | Unary plus (indicates that a value is positive) |
-
|
6 | unary | left | Unary minus (indicates that a value is negative) |
/
|
3 | binary | left | Division |
*
|
3 | binary | left | Multiplication |
.
|
2 | binary | left | Vector dot product |
><
|
2 | binary | left | Vector cross product |
U
|
1.5 | binary | left | Union |
-
|
1 | binary | left | Subtraction |
+
|
1 | binary | left | Addition |
,
|
0 | binary | left | List (vector, set, point, etc.) separator |
Constants
- e
- pi
Functions
In general, functions can be used with or without parentheses. For example, cosx
, cos x
, and cos(x)
are all equivalent. However, using parentheses makes grouping more explicit and are recommended.
Not all functions are available in all problems.
- Numeric functions
- log() — Usually the natural log ([math]\log_e[/math]), but your instructor may have redefined it to be log base 10 ([math]\log_{10}[/math]).
- log10(), logten() — Log base 10; [math]\log_{10}[/math].
- sqrt() — Square root; [math]\sqrt{\ \ \ }[/math].
- abs() — Absolute value; [math]|\cdots|[/math].
- int() — Integer or floor function; [math]\lfloor\cdots\rfloor[/math].
- sgn() — Sign function; returns
+1
if its argument is positive,-1
if its argument is negative, and0
if its argument is zero. - ln() — Natural log; [math]\log_e[/math].
- Simple trig functions
- sin()
- cos()
- tan()
- sec()
- csc()
- cot()
- Inverse trig functions
- asin(), arcsin()
- acos(), arccos()
- atan(), arctan()
- asec(), arcsec()
- acsc(), arccsc()
- acot(), arccot()
- atan2()
- Simple hyperbolic functions
- sinh()
- cosh()
- tanh()
- sech()
- csch()
- coth()
- Inverse hyperbolic functions
- asinh(), arcsinh()
- acosh(), arccosh()
- atanh(), arctanh()
- asech(), arcsech()
- acsch(), arccsch()
- acoth(), arccoth()
- Vector functions
- norm()
- unit()
- Complex functions
- arg()
- mod()
- Re()
- Im()
- conj()