Context Operator Table
The operators available to be used in student answers are controlled via the operators
object of the current Context. See Answer Checkers and the Context or the Introduction to Contexts for details about how to alter the list of operators.
The operators and their precedences are listed below. Those shown in grey are not entered directly, but are generated automatically when the proper situation arises.
Operator  Precedence  Associativity  Description 

,

0  left  Separates entries in points, vectors, lists, etc. 
+

1  left  Addition 


1  left  Subtraction 
U

1.5  left  Union of intervals and sets 
><

2  left  Cross product of vectors (only in Vector and Matrix contexts)

.

2  left  Dot product of vectors (only in Vector and Matrix contexts)

*

3  left  Multiplication 
/

3  left  Division 
//

3  left  Division displayed horizontally 
space  3  left  Multiplication (generated automatically by implied multiplication) 
u+

6  left  Unary plus (generated automatically when + is used in unary position)

u

6  left  Unary minus (generated automatically when  is used in unary position)

^

7  right  Exponentiation 
**

7  right  Exponentiation 
fn

7.5  left  Function call (generated automatically by functions) 
!

8  right  Factorial 
_

9  left  Element extraction (for vectors, matrices, lists, points) 
In addition to these, there are some extra operators used to implement a nonstandard precedence arrangement that is designed to allow things like sin 2x
to be interpreted as sin(2x)
rather than as (sin(2)) x
. In the standard precedence settings, these have the precedences or the corresponding operators listed above; in the nonstandard precedence, they are as given below. Here, "space" represents an actual space.
Operator  Precedence  Associativity  Description 

space*

2.8  left  Multiplication with preceding space 
* space

2.8  left  Multiplication with trailing space 
space/

2.8  left  Division with preceding space 
/ space

2.8  left  Division with trailing space 
fn

2.9  left  Function call 
space  3.1  left  Implied multiplication 
See pg/lib/Parser/Context/Default.pm
for the full definitions of the operators.