Texas Instruments TI-89 Titanium Short User Manual page 216

nCr()
MATH/Probability menu
expression1
nCr(
For integer
expression1
of combinations of
expression2
binomial coefficient.) Both arguments can be
integers or symbolic expressions.
expression,
nCr(
expression, negInteger
nCr(
expression, posInteger
nCr(
expressionø
posInteger
!
expression, nonInteger
nCr(
expressionì nonInteger
((
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
nDeriv( ,
matrix
nDeriv(
Returns the numerical derivative as an
expression. Uses the central difference quotient
formula.
is the step value. If
h
0.001.
When using
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
expressions that resolve to lists, or list variable
names.
NewData
the Data/Matrix Editor.
210
) ⇒
expression2 expression
,
and
expression1 expression2
‚ ‚ 0,
expression2
nCr()
expression1
at a time. (This is also known as a
) ⇒
0 1
) ⇒
0
) ⇒
expression ì 1) ... expressionì posInteger
( (
⇒
expression
)
ø nonInteger
)!
) ⇒
list
) ⇒
matrix
) ⇒
var h expression
, [ , ]
) ⇒
var, list list
,
) ⇒
h list
[ ]
,
) ⇒
var h matrix
[ ]
, ,
is omitted, it defaults to
h
list or matrix , the operation gets
and
avgRC()
list1 list2 list3
, [, ] [, ]...
dataVar,
, ..., can be lists as shown,
listn
makes the new variable current in
nCr(z,3)
with
is the number
ans(1)|z=5
things taken
nCr(z,c)
ans(1)/nPr(z,c)
+1)/
!/
!)
nCr({5,4,3},{2,4,2}) ¸
{10
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}) ¸
d
.
()
NewData mydata,{1,2,3},{4,5,6}
¸
where the columns
(Go to the Data/Matrix Editor and open the
var
below.)
Appendix A: Functions and Instructions
zø (zì 2)ø (zì 1)
1 3}
ë (cos(xì h)ì cos(x+h))
3.ø (xñ +.000033)
{ 2 . ø x 2 . ø x }
to display the data variable
mydata
6
10
z!
c!(zì c)!
1
c!
15 10
[ ]
6 3
2ø h
ë sin(x)
ë 1.
Done