Texas Instruments TI-89 Titanium Short User Manual page 193

For the
including
point coefficients where irrational coefficients
cannot be explicitly expressed concisely in terms
of the built-in functions. Even when there is only
one variable, including
complete factorization.
Note: See also
achieve partial factoring when
fast enough or if it exhausts memory.
Note: See also
way to complex coefficients in pursuit of linear
factors.
factor(
number factored into primes. For composite
numbers, the computing time grows
exponentially with the number of digits in the
second-largest factor. For example, factoring a
30-digit integer could take more than a day, and
factoring a 100-digit number could take more
than a century.
Note: To stop (break) a computation, press ´.
If you merely want to determine if a number is
prime, use
particularly if
the second-largest factor has more than five
digits.
Fill
MATH/Matrix menu
expression, matrixVar
Fill
Replaces each element in variable
expression
matrixVar
expression, listVar
Fill
Replaces each element in variable
expression
listVar
floor()
MATH/Number menu
expression
floor(
Returns the greatest integer that is the
argument. This function is identical to
The argument can be a real or a complex number.
) ⇒
list1
floor(
) ⇒
matrix1
floor(
Returns a list or matrix of the floor of each
element.
Note: See also
Appendix A: Functions and Instructions
setting of the
AUTO Exact/Approx
permits approximation with floating-
var
might yield more
var
comDenom()
for factoring all the
cFactor()
returns the rational
rationalNumber
)
instead. It is much faster,
isPrime()
is not prime and if
rationalNumber
⇒
matrix
.
must already exist.
⇒
list
.
must already exist.
) ⇒
integer
list
matrix
and
ceiling()
mode,
factor(x^5+4x^4+5x^3ì 6xì 3)
¸
factor(ans(1),x) ¸
for a fast way to
is not
factor()
factor(152417172689) ¸
isPrime(152417172689) ¸false
[1,2;3,4]! amatrx ¸
with
matrixVar
Fill 1.01,amatrx ¸
amatrx ¸
{1,2,3,4,5}! alist ¸
with
listVar
Fill 1.01,alist ¸
alist ¸
floor(ë 2.14) ¸
.
int()
floor({3/2,0,ë 5.3}) ¸
floor([1.2,3.4;2.5,4.8]) ¸
.
int()
x 5 + 4ø x 4 + 5ø x
(xì.964...)ø (x +.611...)ø
(x + 2.125...)ø (xñ + 2.227...ø
123457ø1234577
[
{1 2 3 4 5}
{1.01 1.01 1.01 1.01 1.01}
ì 6ø x ì 3
3
x + 2.392...)
1 2
[ ]
3 4
Done
1.01 1.01
]
1.01 1.01
Done
ë 3.
{1 0 ë 6.}
1. 3.
[ ]
2. 4.
187