Expreg, Factor(), Appendix a: functions and instructions 819 – Texas Instruments TITANIUM TI-89 User Manual

Page 819

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Appendix A: Functions and Instructions

819

ExpReg

MATH/Statistics/Regressions menu

ExpReg

list1, list2

[

, [

list3

] [,

list4, list5

]

]

Calculates the exponential regression and
updates all the system statistics variables.

All the lists must have equal dimensions except
for

list5

.

list1

represents xlist.

list2

represents ylist.

list3

represents frequency.

list4

represents category codes.

list5

represents category include list.

Note:

list1

through

list4

must be a variable name

or c1–c99 (columns in the last data variable
shown in the Data/Matrix Editor).

list5

does not

have to be a variable name and cannot be c1–c99
.

In function graphing mode:

{1,2,3,4,5,6,7,8}! L1

¸

{1

2

...

}

{1,2,2,2,3,4,5,7}! L2

¸

{1 2

...

}

ExpReg L1,L2

¸

Done

ShowStat

¸

¸

Regeq(x)"y1(x)

¸

Done

NewPlot 1,1,L1,L2

¸

Done

¥%

factor()

MATH/Algebra menu

factor(

expression1

[,

var

])

expression

factor(

list1

[

,var

])

list

factor(

matrix1

[

,var

])

matrix

factor(

expression1

) returns

expression1

factored

with respect to all of its variables over a common
denominator.

expression1

is factored as much as possible toward

linear rational factors without introducing new
non-real subexpressions. This alternative is
appropriate if you want factorization with respect
to more than one variable.

factor(a^3ù x^2ì aù x^2ì a^3+a)

¸

aø(a

м

1)ш(a

+

1)ø(x

м

1)ш(x

+

1)

factor(x^2+1)

¸

xñ +

1

factor(x^2ì 4)

¸

(x

м

2)ш (x

+

2)

factor(x^2ì 3)

¸

xс м 3

factor(x^2ì a)

¸

xс м a

factor(

expression1,var

)

returns

expression1

factored with respect to variable

var

.

expression1

is factored as much as possible toward

real factors that are linear in

var

, even if it

introduces irrational constants or subexpressions
that are irrational in other variables.

The factors and their terms are sorted with

var

as

the main variable. Similar powers of

var

are

collected in each factor. Include

var

if

factorization is needed with respect to only that
variable and you are willing to accept irrational
expressions in any other variables to increase
factorization with respect to

var

. There might be

some incidental factoring with respect to other
variables.

factor(a^3ù x^2ì aù x^2ì a^3+a,x)

¸

aø (aс м 1)ш (x

м

1)ш (x

+

1)

factor(x^2ì 3,x)

¸

(x

+

3)ø (x

ì

3)

factor(x^2ì a,x)

¸

(x

+

a)ø (x

ì

a)

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