Texas Instruments NS/CLM/1L1/B Reference Guide - Page 58

Catalog &gt, nDeriv, newList, newMat

Page 58 highlights

N nCr( ) 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·(ValueN1)... (ValueNposInteger+1)/ posInteger! nCr(Value, nonInteger) ⇒ expression!/ ((ValueNnonInteger)!·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. nDeriv( ) nDeriv(Expr1, Var[=Value] [, H]) ⇒ expression nDeriv(Expr1, Var[, H] | Var=Value) ⇒ expression nDeriv(Expr1, Var[=Value], List) ⇒ list nDeriv(List1, Var[=Value] [, H]) ⇒ list nDeriv(Matrix1, Var[=Value] [, H]) ⇒ matrix Returns the numerical derivative as an expression. Uses the central difference quotient formula. When Value is specified, it overrides any prior variable assignment or any current "such that" substitution for the variable. H is the step value. If H is omitted, it defaults to 0.001. When using List1 or Matrix1, the operation gets mapped across the values in the list or across the matrix elements. Note: See also avgRC(). newList( ) newList(numElements) ⇒ list Returns a list with a dimension of numElements. Each element is zero. newMat( ) newMat(numRows, numColumns) ⇒ matrix Returns a matrix of zeros with the dimension numRows by numColumns. Catalog > Catalog > Catalog > Catalog > 52 TI-Nspire™ Reference Guide

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52
TI-Nspire™ Reference Guide
N
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
N
1
)...
(
Value
N
posInteger
+1)/
posInteger
!
nCr(
Value
,
nonInteger
)
expression
!/
((
Value
N
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.
nDeriv()
Catalog >
nDeriv(
Expr1
,
Var
[
=Value
]
[
,
H
]
)
expression
nDeriv(
Expr1
,
Var
[
,
H
] |
Var=Value
)
expression
nDeriv(
Expr1
,
Var
[
=Value
]
,
List
)
list
nDeriv(
List1
,
Var
[
=Value
]
[
,
H
]
)
list
nDeriv(
Matrix1
,
Var
[
=Value
]
[
,
H
]
)
matrix
Returns the numerical derivative as an expression. Uses the central
difference quotient formula.
When
Value
is specified, it overrides any prior variable assignment or
any current “such that” substitution for the variable.
H
is the step value. If
H
is omitted, it defaults to 0.001.
When using
List1
or
Matrix1
, the operation gets mapped across the
values in the list or across the matrix elements.
Note:
See also
avgRC()
.
newList()
Catalog >
newList(
numElements
)
list
Returns a list with a dimension of
numElements
. Each element is
zero.
newMat()
Catalog >
newMat(
numRows
,
numColumns
)
matrix
Returns a matrix of zeros with the dimension
numRows
by
numColumns
.