If you get an out-of-memory error, Freeing up memory, Simplifying problems – Texas Instruments PLUS TI-89 User Manual

Page 96

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Chapter 3: Symbolic Manipulation 79

03SYMBOL.DOC TI-89/TI-92 Plus: Symbolic Manipulation (English) Susan Gullord Revised: 02/23/01 10:52 AM Printed: 02/23/01 2:12 PM Page 79 of 24

¦

Delete unneeded variables and/or Flash applications, particularly
large-sized ones.

Use 2 ° as described in Chapter 21 to view and
delete variables and/or Flash applications.

¦

On the Home screen:

Clear the history area (ƒ

8

) or delete unneeded history pairs.

You can also use ƒ

9

to reduce the number of history pairs

that will be saved.

¦

Use 3 to set

Exact/Approx = APPROXIMATE

. (For results that have

a large number of digits, this uses less memory than

AUTO

or

EXACT

.

For results that have only a few digits, this uses more memory.)

¦

Split the problem into parts.

Split

solve(a

ù

b=0,

var

)

into

solve(a=0,

var

)

and

solve(b=0,

var

)

.

Solve each part and combine the results.

¦

If several undefined variables occur only in a certain
combination, replace that combination with a single variable.

If

m

and

c

occur only as

m

ù

c

ñ

, substitute

e

for

m

ù

c

ñ

.

In the expression

(a+b)

ñ

+

(a+b)

с

1

м

(a+b)

ñ

, substitute

c

for

(a+b)

and

use

c

ñ

+

c

с

1

м

c

ñ

. In the solution, replace

c

with

(a+b)

.

¦

For expressions combined over a common denominator, replace
sums in denominators with unique new undefined variables.

In the expression

x

a

ñ

+b

ñ

+ c

+

y

a

ñ

+b

ñ

+ c

, substitute

d

for

a

ñ

+b

ñ

+ c

and use

x

d

+

y

d

. In the solution, replace

d

with

a

ñ

+b

ñ

+ c

.

¦

Substitute known numeric values for undefined variables at an
earlier stage, particularly if they are simple integers or fractions.

¦

Reformulate a problem to avoid fractional powers.

¦

Omit relatively small terms to find an approximation.

If You Get an Out-of-Memory Error

The

TI

-

89 / TI

-

92 Plus

stores intermediate results in memory and

then deletes them when the calculation is complete. Depending
on the complexity of the calculation, the

TI

-

89 / TI

-

92 Plus

may run

out of memory before a result can be calculated.

Freeing Up Memory

Simplifying
Problems

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