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nCr()
Catalog >
nCr(Value1, Value2) ⇒ expression
For integer Value1 and Value2 with
Value1 ≥ Value2≥ 0, nCr() is the number of
combinations of Value1 things taken
Value2 at a time. (This is also known as a
binomial coefficient.)
nCr(Value, 0) ⇒ 1
nCr(Value, negInteger) ⇒ 0
nCr(Value, posInteger) ⇒ Value•
(Value−1) ... (Value−posInteger+1)/
posInteger!
nCr(Value, nonInteger) ⇒ expression! /
((Value−nonInteger)!•nonInteger!)
nCr(List1, List2) ⇒ list
Returns a list of combinations based on the
corresponding element pairs in the two
lists. The arguments must be the same size
list.
nCr(Matrix1, Matrix2) ⇒ matrix
Returns a matrix of combinations based on
the corresponding element pairs in the two
matrices. The arguments must be the same
size matrix.
nDerivative()
Catalog >
nDerivative(Expr1,Var=Value[,Order])
⇒ value
nDerivative(Expr1,Var[,Order])
|Var=Value ⇒ value
Returns the numerical derivative calculated
using auto differentiation methods.
When Value is specified, it overrides any
prior variable assignment or any current “|”
substitution for the variable.
If the variable Var does not contain a
numeric value, you must provide Value.
Order of the derivative must be 1 or 2.
Alphabetical Listing 99
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