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Fpart(), Func, Gcd() – Texas Instruments TITANIUM TI-89 User Manual

Page 823: Appendix a: functions and instructions 823

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Appendix A: Functions and Instructions

823

G[

n

][

c

]

: Same as fixed format but also separates

digits to the left of the radix into groups of three.

c

specifies the group separator character and

defaults to a comma. If

c

is a period, the radix

will be shown as a comma.

[R

c

]

: Any of the above specifiers may be suffixed

with the

R

c

radix flag, where

c

is a single

character that specifies what to substitute for the
radix point.

fPart()

MATH/Number menu

fPart(

expression1

)

expression

fPart(

list1

)

list

fPart(

matrix1

)

matrix

Returns the fractional part of the argument.

For a list or matrix, returns the fractional parts of
the elements.

The argument can be a real or a complex number.

fPart(л 1.234)

¸

л

.234

fPart({1, л 2.3, 7.003})

¸

{0

л

.3 .003}

Func

CATALOG

Func

block

EndFunc

Required as the first statement in a multi-
statement function definition.

block

can be either a single statement or a series

of statements separated with the “:” character.

Note:

when()

also can be used to define and

graph piecewise-defined functions.

In function graphing mode, define a piecewise
function:

Define g(x)=Func:If x<0 Then

:Return 3ù cos(x):Else:Return

3ì x:EndIf:EndFunc

¸

Done

Graph g(x)

¸

gcd()

MATH/Number menu

gcd(

number1, number2

)

expression

Returns the greatest common divisor of the two
arguments. The

gcd

of two fractions is the

gcd

of their numerators divided by the

lcm

of their

denominators.

In Auto or Approximate mode, the

gcd

of

fractional floating-point numbers is 1.0.

gcd(18,33) ¸ 3

gcd(

list1, list2

)

list

Returns the greatest common divisors of the
corresponding elements in

list1

and

list2

.

gcd({12,14,16},{9,7,5}) ¸

{3 7 1}

gcd(

matrix1, matrix2

)

matrix

Returns the greatest common divisors of the
corresponding elements in

matrix1

and

matrix2

.

gcd([2,4;6,8],[4,8;12,16]) ¸

[

2 4

6 8]