Texas Instruments TITANIUM TI-89 - Manual (Page 845)

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 )
⇒
expressionø ( expression ì 1) ... ( expressionì posInteger +1)/
posInteger !
nCr( expression, nonInteger )
⇒
expression !/
(( expressionì nonInteger )! ø nonInteger !)
nCr(z,3)
zø (zм 2)ш (zм 1)
6
ans(1)|z=5 10
nCr(z,c)
z!
c!(zì 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 (xñ +.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 .