Texas Instruments TI-89 Titanium User Manual page 821

nCr()
MATH/Probability menu
expression1 expression2
nCr( ,
For integer
expression1
combinations of
at a time. (This is also known as a binomial
coefficient.) Both arguments can be integers or
symbolic expressions.
) ⇒
expression, 0
nCr(
expression, negInteger
nCr(
expression, posInteger
nCr(
expression ø ( expression ì 1) ... ( expression ì posInteger +1)/
posInteger !
expression, nonInteger
nCr(
ì nonInteger
(( expression
) ⇒
list1 list2
nCr( ,
Returns a list of combinations based on the
corresponding element pairs in the two lists. The
arguments must be the same size list.
matrix1 matrix2
nCr( ,
Returns a matrix of combinations based on the
corresponding element pairs in the two matrices.
The arguments must be the same size matrix.
nDeriv()
MATH/Calculus menu
expression1
nDeriv(
expression1
nDeriv(
list var [ h ]
nDeriv( , ,
matrix var [
nDeriv( ,
Returns the numerical derivative as an expression.
Uses the central difference quotient formula.
is the step value. If
h
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
NewData
CATALOG
dataVar
NewData
Creates data variable
are the lists in order.
Must have at least one list.
, , ...,
list1 list2
that resolve to lists, or list variable names.
NewData
Data/Matrix Editor.
dataVar
NewData
Creates data variable
818
) ⇒
expression
and
expression1 expression2
‚ ‚ 0,
is the number of
expression2 nCr()
things taken
expression1
1
) ⇒
0
) ⇒
⇒ expression !/
)
ø nonInteger
)! !)
list
) ⇒
matrix
) ⇒
var [ h ] expression
, ,
) ⇒
var, list list
,
) ⇒
list
) ⇒
h ] matrix
,
is omitted, it defaults to
h
and d .
()
avgRC()
list1 list2 list3
, [, ] [, ]...
where the columns
dataVar,
can be lists as shown, expressions
listn
makes the new variable current in the
matrix
,
based on
dataVar
nCr(z,3)
with
ans(1)|z=5
expression2
nCr(z,c)
ans(1)/nPr(z,c)
nCr({5,4,3},{2,4,2}) ¸
{10 1
nCr([6,5;4,3],[2,2;2,2]) ¸
nDeriv(cos(x),x,h) ¸
limit(nDeriv(cos(x),x,h),h,0)
¸
nDeriv(x^3,x,0.01) ¸
nDeriv(cos(x),x)|x=p/2 ¸
nDeriv(x^2,x,{.01,.1}) ¸
NewData mydata,{1,2,3},{4,5,6}
¸
(Go to the Data/Matrix Editor and open the var
mydata to display the data variable below.)
.
matrix
Appendix A: Functions and Instructions
zø (zì 2)ø (zì 1)
6
c!(zì c)!
3}
15
[
6
ë (cos(xì h)ì cos(x+h))
2ø h
ë sin(x)
3.ø (xñ +.000033)
{ 2 . ø x 2 . ø x }
10
z!
1
c!
10
]
3
ë 1.
Done