Texas Instruments TI-89 Manual Book page 487

mRowAdd()
MATH/Matrix/Row ops menu
mRowAdd(expression, matrix1, index1, index2)
matrix
Returns a copy of
in row
index2
expression
nCr()
MATH/Probability menu
nCr(expression1, expression2)
For integer
expression1
number of combinations of
taken
expression2
known as a binomial coefficient.) Both
arguments can be integers or symbolic
expressions.
nCr(expression, 0)
nCr(expression, negInteger)
nCr(expression, posInteger)
expression ø (expressionì 1)...
(expression ì posInteger+1)/ posInteger!
nCr(expression, nonInteger)
((expression ì nonInteger)! ø nonInteger!)
nCr(list1, list2)
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)
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
nDeriv(expression1, var[, h])
nDeriv(expression1, var, list)
nDeriv(list, var[, h])
nDeriv(matrix, var[, h])
Returns the numerical derivative as an
expression. Uses the central difference
quotient formula.
is the step value. If
h
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
470 Appendix A: Functions and Instructions
with each element
matrix1
of replaced with:
matrix1
× row + row
index1 index2
expression
and
expression1 expression2
‚ ‚ 0,
is the
expression2 nCr()
expression1
at a time. (This is also
1
0
expression!/
list
matrix
expression
list
list
matrix
is omitted, it defaults
h
and d().
avgRC()
mRowAdd(ë 3,[1,2;3,4],1,2) ¸
mRowAdd(n,[a,b;c,d],1,2) ¸
nCr(z,3)
with
ans(1)|z=5
things
nCr(z,c)
ans(1)/nPr(z,c)
nCr({5,4,3},{2,4,2}) ¸
{10 1 3}
nCr([6,5;4,3],[2,2;2,2]) ¸
nDeriv(cos(x),x,h) ¸
ë (cos(xì h)ì cos(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}) ¸
1 2
[ ]
0 L2
a b
[ ]
aø n+c bø n+d
zø (zì 2)ø (zì 1)
6
10
z!
c!(zì c)!
1
c!
15 10
[ ]
6 3
2ø h
ë sin(x)
3.ø (xñ +.000033)
ë 1.
{ 2 . ø x 2 . ø x }