Difference between revisions of "Mathematical notation recognized by WeBWorK"
Jump to navigation
Jump to search
(3 intermediate revisions by the same user not shown)  
Line 97:  Line 97:  
print "}\n"; 
print "}\n"; 

> 
> 

+  
+  == Grouping symbols == 

+  * parentheses ( ) 

+  * brackets [ ] 

+  * braces { } 

+  
+  You can use any of these in your answer but they must match. 3(4+5) and 2[3(4+5)+6] are valid but 3(4+5} will given the error: Mismatched parentheses: '(' and '}'. 

+  
+  When WeBWorK gives a typeset version of your answer it only uses parentheses so for example it expresses your input of 2[3(4+5)+6] as 2(3(4+5)+6) but you can use whatever you want. 

== Constants == 
== Constants == 
Latest revision as of 17:23, 7 November 2009
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 
Grouping symbols
 parentheses ( )
 brackets [ ]
 braces { }
You can use any of these in your answer but they must match. 3(4+5) and 2[3(4+5)+6] are valid but 3(4+5} will given the error: Mismatched parentheses: '(' and '}'.
When WeBWorK gives a typeset version of your answer it only uses parentheses so for example it expresses your input of 2[3(4+5)+6] as 2(3(4+5)+6) but you can use whatever you want.
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()