Active Operators in CalcLib Build 2^(-4) * 5^(-3) * 4046101
Operator	A simple description of the actions of each operator
!	Unary conventional factorial operator
!!	Unary parity factorial operator
#	Array indexing operation implemented as a binary operator
#!	Primorial function on integer prime index
##	Binomial coefficient operator (n ## k)
#$#	Bells Triangle operator (n #$# m)
#%#	Euler numbers operator (n #%# m)
#*^	Evaluate an Euler polynomial defined by a specified order
#/	Binary Factorial falling operator
#/#	Arithmetic division operator (expressed as fraction)
$!	Subfactorial function on integer parameter
$#	Mark function call for Trapezoidal integral approximation
$$	Stirling numbers (first) operator (n $$ k)
$$$	Stirling numbers (second) operator (n $$$ k)
$%	Mark function call for adjustment for brute force approximation
$@	Mark function call for Clenshaw-Curtis integral approximation
$|	Mark function call for Tanh-Sinh integral approximation
%	Binary conventional remainder operator n%m; integer only
&	Logical AND
'	Mark function call for first derivative approximation
''	Mark function call for second derivative approximation
*	Arithmetic multiplication operator
*%*	Cross product of two arrays; lengths of arrays must match
**	Binary conventional exponentiation operator x**y
*@*	Dot product of two arrays; lengths of arrays must match
*\	Binary root operator (left [times root of] right)
*^#	Evaluate an exponential ( a * exp (b * x) ) defined by an array containing (a : b)
*^*	Compute tensor product of two matrices
+	Arithmetic addition operator
+#*	Evaluate a harmonic series defined by an array of coefficients ( c0 + c1*cos(x) + c2*cos(2x) + ... )
+*^	Evaluate a polynomial defined by an array of coefficients ( c0 + c1*x + c2*x^2 + ... )
+*^'	Evaluate a polynomial derivative defined by an array of coefficients ( c0 + c1*x + c2*x^2 + ... )
+*^''	Evaluate a polynomial second derivative defined by an array of coefficients ( c0 + c1*x + c2*x^2 + ... )
+|-	Plus or Minus operator
-	Arithmetic (binary) subtraction or (unary) negate operator
-#	Matrix indexing operation selecting row vector
->	Lambda anonymous function declarative expression
-|+	Minus or Plus operator
.	Dot product of two arrays; lengths of arrays must match
..	Array range operation implemented as a binary operator
/	Arithmetic division operator
/#	Binary Factorial rising operator
/#+	Pochhammer rising operator
/%	Divisor and remainder from operator
:	Choice based on condition code
<	Less than
<*>	Integral delta marker for presentation
<<	Left shift operator
<<=	Logical implied by
<=	Less than or equal to
<>	Derivative approximation evaluated at left parameter using delta value in right parameter
<||	Less than absolute value of
==	Equal to
=>>	Logical implies
>	Greater than
>=	Greater than or equal to
>>	Right shift operator
>||	Greater than absolute value of
?	Logical condition code set
@#	Evaluate function defined by array at X
@*^	Evaluate a Chebyshev polynomial using Clenshaw's special case defined by an array of coefficients ( c0 + c1*T[1](x) + c2*T[2](x) + ... )
@*^'	Evaluate a Chebyshev polynomial derivative using Clenshaw's special case defined by an array of coefficients,ClenshawPrime
@*^''	Evaluate a Chebyshev polynomial second derivative using Clenshaw's special case defined by an array of coefficients
@|	Pointer dereference
ADJ	Compute adjugate of matrix
APPEND	Append a series of arrays into one long array
ARRAY	Collect values into array
ARRAYDER	Compute derivative of function described by array
ARRAYINT	Compute integral of function described by array
AUGMENTED	Construct augmented matrix from source matrix and additional column
BERNOULLI	Bernoulli function B(m) for second (n=1) Bernoulli numbers
CEIL	Ceiling function for a factored value
CHARACTERISTIC	Compute characteristic polynomial for matrix
CHEBDER	Compute derivative of Chebyshev T polynomial
CHEBDOM	Compute domain across given number of Chebyshev points
CHEBINTERP	Generate Chebyshev interpolation polynomial for function described by array
CHEBPTS	Compute given number of Chebyshev points
CHEBYSHEV	Apply Vandermonde matrix to solve for Chebyshev interpolation polynomial as curve of best fit
CLENQUAD	Compute integral of function described by Chebyshev polynomial
COFACTOR	Compute cofactor matrix from source
COL	Read column vector from matrix
COMATRIX	Compute comatrix matrix from source
CONCAT	Append a series of arrays into one long array
CONV	Compute product of polynomials
DECOMPOSE	Decompose a matrix using a linear algebra library instance
DECONV	Compute quotient of polynomials
DET	Compute determinant of matrix
DIVREM	Divisor and remainder from integer division
DOT	Dot product of two arrays; lengths of arrays must match
DYADIC	Compute dyadic product of 2 arrays
EIG	Compute Von Mises dominant eigen-pair
EVALSPLINE	Evaluate a VC31 spline function at specified parameter
FACTORS	Get an array of all prime factors of the parameter
FALSE	Logical FALSE
FITEXP	Apply non-linear (logarithmic) regression to find curve of best fit
FITHARMONIC	Apply harmonic series regression to find curve of best fit
FITLINE	Apply least squares regression to find line of best fit
FITPOLY	Apply Vandermonde matrix to solve for polynomial coefficients to find curve of best fit
FLOOR	Floor function for a factored value
FUDGE	Adjust blob factor to reduce representation size
GAUSSIAN	Solve linear equations with Gaussian elimination
GAUSSQUAD	Apply Gauss Quadrature to build an integral of an interpolated Lagrange polynomial
GCD	Common divisor of two integers
GCF	Greatest Common Factor of two integers
GENKNOT	Construct a zero knot for odd or even functions
GET	Get a component of a structure
HARMONIC	Harmonic function
HYPOT	Distance in multi-dimensional space; SQRT of sum of squares of array elements
IDENTITY	Compute identity matrix with specified size
INFINITY	Approximation to use for infinity
INTEGRAL	Sum of items of an array constructed based on delta terms; using traditional integral notation
INTEGRALC	Sum of items of an array constructed based on delta terms; using traditional contour integral notation
INTEGRALS	Sum of items of an array constructed based on delta terms; using traditional surface integral notation
INTEGRALV	Sum of items of an array constructed based on delta terms; using traditional volume integral notation
INTERPOLATE	Generate Lagrange interpolation polynomial for function described by array
INTERVAL	Select sub-list of elements for interval lo-hi
INV	Compute inverse of matrix
LAGRANGE	Apply Lagrange series to derive interpolation polynomial as curve of best fit
LCM	Least Common Multiple of two integers
LENGTH	Length of an array treated as a unary function
LOAD	Load a stored value
LUD	Decompose specified matrix using LU algorithm
LUDDET	Compute matrix determinant using LUD
LUDINV	Compute matrix inverse using LUD
LUXB	matrix,Solve LUx=b general case from assignment array=LUXB(L;U;b)
MATADD	Compute sum of two matrices
MATMUL	Compute product of two matrices
MATRIX	Construct matrix from array with dimensions
MAX	Maximum value found in array
MIN	Minimum value found in array
MINOR	Compute minor of matrix
MINUS	Arithmetic binary subtraction operator
MOD	Modulus of two integers
MODPOW	Modulus of exponentiation of two integers
NEGATE	Arithmetic unary negation operator
OMEGA	Omega counting function (with multiplicity)
PEARSON	Compute Pearson regression coefficient for X/Y data set pair
PI	Product of items of an array; traditional capital PI notation
PIF	PI counting function
PIVOT	Reorder a vector to a specified pattern
POLYADD	Compute sum of two polynomials
POLYDER	Compute derivative of polynomial
POLYHG	Compute coefficients of hyper geometric polynomial
POLYINT	Compute integral of polynomial
POLYMUL	Compute product of two polynomials
PRIMES	Get an array of all primes less than parameter
Pn	Nth prime number
QRD	Decompose specified matrix using QR algorithm
QRS	Compute solution to system given requested vector and QR decomposed matrix
REM	Remainder from division of two integers
ROOTS	Compute roots of polynomial
ROUND	Round function for a factored value
ROW	Read row vector from matrix
SIGMA	Sum of items of an array; traditional capital SIGMA notation
SOE	Solve a system of equations using a linear algebra library instance
SOLVE	Solve linear equations with column substitution
STACK	Append a series of arrays as rows into a matrix
STORE	Store a portable value
SUMMATION	Sum of items of an array; summation functionality using SIGMA notation
T	Riemann T counting function
TR	Compute trace of matrix
TRANSPOSE	Compute transpose of matrix
TRIL	Compute lower triangular matrix from source
TRIU	Compute upper triangular matrix from source
TRUE	Logical TRUE
VANCHE	Construct Vandermonde matrix for a Chebyshev interpolation
VC31	Solve LUx=b using VC31LU to produce Chebyshev spline for function values
VERSION	software development version
\	Binary root operator (left [root of] right)
\#	Matrix indexing operation selecting diag vector
^	Binary conventional exponentiation operator x^n; intended for small integer exponents
abs	ABS function value of parameter
ceil	Ceiling function
curl	Curl operator
div	Divergence operator
e	Epsilon base of natural log
ep	Euler Product function
exp	Exponentiation (anti-log) operator
floor	Floor function
floordiv	Floor function for quotient
gcf	Greatest common factor of two integers
grad	Gradient operator
lambda	Lambda parity counting function (1 even -1 odd)
lcm	Least common multiple of two integers
li	Logarithmic Integral as counting function
ln	Natural log function of complex value
mu	Mobius counting function { delta[OMEGA(n) omega(n)] * lambda(n) }
omega	Omega counting function (distinct factors)
pi	Symbol for the irrational value of pi
sgn	Sign SGN function value of parameter
sqrt	Unary square root operator
xLx	X ln X counting function
|	Logical OR
|#	Matrix indexing operation selecting column vector
||	Mark function call for interval evaluation
|~	Logical XOR
~	Logical NOT
~&	Logical NAND
~<<=	Logical NOT implied by
~=	Not equal to
~=>>	Logical NOT implies
~|	Logical NOR
~|~	Logical NOT XOR