Texas Instruments TI-89 Voyage 200, User Manual

Page: 845 / 1008

Appendix A: Functions and Instructions 845
nCr()
MATH/Probability menu
nCr(
expression1
,
expression2
)
⇒ ⇒ ⇒ ⇒
expression
For integer
expression1
and
expression2
with
expression1
‚
expression2
‚
0,
nCr()
is the number
of combinations of
expression1
things taken
expression2
at a time. (This is also known as a
binomial coefficient.) Both arguments can be
integers or symbolic expressions.
nCr(
expression,
0
)
⇒
1
nCr(
expression, negInteger
)
⇒
0
nCr(
expression, posInteger
)
⇒
expression
ø
( expression
ì
1) ... ( expression
ì
posInteger +1)/
posInteger
!
nCr(
expression, nonInteger
)
⇒
expression
!/
((
expression ì nonInteger
)!
ø nonInteger
!)
nCr(z,3)
z
ø
(z
ì
2)
ø
(z
ì
1)
6
ans(1)|z=5 10
nCr(z,c)
z!
c!(z
ì
c)!
ans(1)/nPr(z,c)
1
c!
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({5,4,3},{2,4,2})
¸
{10 1 3}
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.
nCr([6,5;4,3],[2,2;2,2])
¸
[
15 10
6 3
]
nDeriv()
MATH/Calculus menu
nDeriv(
expression1
,
var
[ ,
h
] )
⇒ ⇒ ⇒ ⇒
expression
nDeriv(
expression1
,
var, list
)
⇒ ⇒ ⇒ ⇒
list
nDeriv(
list
,
var [
,
h ]
)
⇒ ⇒ ⇒ ⇒
list
nDeriv(
matrix
,
var [
,
h ]
)
⇒ ⇒ ⇒ ⇒
matrix
Returns the numerical derivative as an
expression. Uses the central difference quotient
formula.
h
is the step value. If
h
is omitted, it defaults to
0.001.
When using
list
or
matrix
, the operation gets
mapped across the values in the list or across the
matrix elements.
Note: See also
avgRC()
and
d
()
.
nDeriv(cos(x),x,h)
¸
limit(nDeriv(cos(x),x,h),h,0)
¸
ë
sin(x)
nDeriv(x^3,x,0.01)
¸
3.
ø
(x
ñ
+.000033)
nDeriv(cos(x),x)|x=
p
/2
¸
ë
1.
nDeriv(x^2,x,{.01,.1})
¸
{ 2 .
ø
x 2 .
ø
x }
NewData
CATALOG
NewData
dataVar
,
list1
[ ,
list2
] [ ,
list3
] ...
Creates data variable
dataVar,
where the columns
are the lists in order.
Must have at least one list.
list1
,
list2
, ...,
listn
can be lists as shown,
expressions that resolve to lists, or list variable
names.
NewData
makes the new variable current in
the Data/Matrix Editor.
NewData mydata,{1,2,3},{4,5,6}
¸
Done
(Go to the Data/Matrix Editor and
open the var mydata to display the
data variable below.)
NewData
dataVar
,
matrix
Creates data variable
dataVar
based on
matrix
.