Arithmetic Operations, Test Relations, and Symbols

! (factorial)

 

Factorial: value!

Returns factorial of value.

»
PRB
4:!

! (factorial)

 

Factorial: list!

Returns factorial of list elements.

»
 PRB
 4:!

¡ (degrees notation)

 

Degrees notation: value¡

Interprets value as degrees; designates degrees in DMS format.

y ;
ANGLE
 1: ¡

r (radian)

 

Radian: angler

Interprets angle as radians.

y ;
ANGLE
 3:r

T (transpose)

 

Transpose: matrixT

Returns a matrix in which each element (row, column) is swapped with the corresponding element (column, row) of matrix.

y >
MATH
 2: T

x‡

 

xthrootx‡value

Returns xthroot of value.

»
 MATH
 5: x ‡

x‡(

 

xthrootx‡list

Returns xthroot of list elements.

»
 MATH
 5: x ‡

x‡(

 

listx‡value

Returns list roots of value.

»
 MATH
 5: x ‡

x‡(

 

listAx‡listB

Returns listA roots of listB.

»
 MATH
 5: x ‡

3 (cube)

 

Cube: value3

Returns the cube of a real or complex number, expression, list, or square matrix.

»
 MATH
 3: 3

3‡(‡ (cube root)

 

Cube root: 3‡(value)

Returns the cube root of a real or complex number, expression, or list.

»
 MATH
 4: 3(

= (equal)

 

Equal:
valueA=valueB

Returns 1 if valueA = valueB. Returns 0 if valueA ƒ valueB. valueA and valueB can be real or complex numbers, expressions, lists, or matrices.

y:
TEST
 1:=

 

≠ (not equal)

 

Not equal:
valueA≠valueB

Returns 1 if valueA ≠  valueB. Returns 0 if valueA = valueB. valueA and valueB can be real or complex numbers, expressions, lists, or matrices.

y :
 TEST
 2: ≠

< (less than)

 

Less than:
valueA<valueB

Returns 1 if valueA < valueB. Returns 0 if valueA ‚ valueB. valueA and valueB can be real or complex numbers, expressions, or lists.

y :
TEST
 5:<

> (greater than)

 

Greater than:
valueA>valueB

Returns 1 if valueA > valueB. Returns 0 if valueA { valueB. valueA and valueB can be real or complex numbers, expressions, or lists.

y :
TEST
 3:>

{ (less or equal)

 

Less than or equal:
valueA{valueB

Returns 1 if valueA { valueB. Returns 0 if valueA > valueB. valueA and valueB can be real or complex numbers, expressions, or lists.

y :
TEST
 6: {

≥ (greater or equal)

 

Greater than or equal:
valueA≥valueB

Returns 1 if valueA ≥ valueB. Returns 0 if valueA < valueB. valueA and valueB can be real or complex numbers, expressions, or lists.

y :
TEST
 4: ≥

L1 (inverse)

 

Inverse: valueL1

Returns 1 divided by a real or complex number or expression.

œ

L1 (inverse)

 

Inverse: listL1

Returns 1 divided by list elements.

œ

L1 (inverse)

 

Inverse: matrixL1

Returns matrix inverted.

œ

2 (square)

 

Square: value2

Returns value multiplied by itself. value can be a real or complex number or expression.

¡

2 (square)

 

Square: list2

Returns list elements squared.

¡

2 (square)

 

Square: matrix2

Returns matrix multiplied by itself.

¡

^ (power)

 

Powers: value^power

Returns value raised to power. value can be a real or complex number or expression.

›

^ (power)

 

Powers: list^power

Returns list elements raised to power.

›

^ (power)

 

Powers: value^list

Returns value raised to list elements.

›

^ (power)

 

Powers: matrix^power

Returns matrix elements raised to power.

›

L (negation)

 

Negation: Lvalue

Returns the negative of a real or complex number, expression, list, or matrix.

Ì

10^( (power of ten)

 

Power of ten: 10^(value)

Returns 10 raised to the value power. value can be a real or complex number or expression.

y G

10^( (power of ten)

 

Power of ten: 10^(list)

Returns a list of 10 raised to the list

y G

‡( (square root)

 

Square root: ‡(value)

Returns square root of a real or complex number, expression, or list.

y C

ä (multiply)

 

Multiplication:
valueAävalueB

Returns valueA times valueB.

¯

ä (multiply)

 

Multiplication:
valueälist

Returns value times each list element.

¯

ä (multiply)

 

Multiplication:
listävalue

Returns each list element times value.

¯

ä (multiply)

 

Multiplication:
listAälistB

Returns listA elements times listB elements.

¯

ä (multiply)

 

Multiplication:
valueämatrix

Returns value times matrix elements.

¯

ä (multiply)

 

Multiplication:
matrixAämatrixB

Returns matrixA times matrixB.

¯

à (divide)

 

Division: valueAàvalueB

Returns valueA divided by valueB

¥

à (divide)

 

Division: listàvalue

Returns list elements divided by value.

¥

à (divide)

 

Division: valueàlist

Returns value divided by list elements.

¥

à (divide)

 

Division: listAàlistB

Returns listA elements divided by listB elements.

¥

+ (add)

 

Addition: valueA+valueB

Returns valueA plus valueB.

Ã

+ (add)

 

Addition: list+value

Returns list in which value is added to each list element.

Ã

+ (add)

 

Addition: listA+listB

Returns listA elements plus listB elements.

Ã

+ (add)

 

Addition:
matrixA+matrixB

Returns matrixA elements plus matrixB elements.

Ã

 

+ (concatenation)

 

Concatenation:
string1+string2

Concatenates two or more strings.

Ã

N (subtract)

 

Subtraction:
valueANvalueB

Subtracts valueB from valueA.

¹

N (subtract)

 

Subtraction:
valueNlist

Subtracts list elements from value

¹

N (subtract)

 

Subtraction:
listNvalue

Subtracts value from list elements.

¹

N (subtract)

 

Subtraction:
listANlistB

Subtracts listB elements from listA elements.

¹

N (subtract)

 

Subtraction:
matrixANmatrixB

Subtracts matrixB elements from matrixA elements.

¹

 

' (minutes notation)

 

Minutes notation:degrees¡minutes'
seconds"

Interprets minutes angle measurement as minutes.

y ;
ANGLE
2:'

" (seconds notation)

 

Seconds notation:
degrees¡minutes'seconds"

Interprets seconds angle measurement as seconds.

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