Augment(), Avgrc(), 4bin – Texas Instruments PLUS TI-89 User Manual

Page 434

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Appendix A: Functions and Instructions 417

8992APPA.DOC TI-89 / TI-92 Plus: Appendix A (US English) Susan Gullord Revised: 02/23/01 1:48 PM Printed: 02/23/01 2:21 PM Page 417 of 132

augment()

MATH/Matrix menu

augment(

list1,

list2

)

list

Returns a new list that is

list2

appended to

the end of

list1

.

augment({1,л3,2},{5,4}) ¸

{1 л3 2 5 4}

augment(

matrix1

,

matrix2

)

matrix

augment(

matrix1

;

matrix2

)

matrix

Returns a new matrix that is

matrix2

appended to

matrix1

. When the “,” character

is used, the matrices must have equal row
dimensions, and

matrix2

is appended to

matrix1

as new columns. When the “;”

character is used, the matrices must have
equal column dimensions, and

matrix2

is

appended to

matrix1

as new rows. Does not

alter

matrix1

or

matrix2

.

[1,2;3,4]!M1 ¸

[

1 2
3 4

]

[5;6]!M2 ¸

[

5
6

]

augment(M1,M2) ¸

[

1 2 5
3 4 6

]

[5,6]!M2 ¸

[

5 6

]

augment(M1;M2) ¸

1 2
3 4
5 6

avgRC()

CATALOG

avgRC(

expression1

,

var

[

,

h

]

)

expression

Returns the forward-difference quotient
(average rate of change).

expression1

can be a user-defined function

name (see

Func

).

h

is the step value. If

h

is omitted, it defaults

to 0.001.

Note that the similar function

nDeriv()

uses

the central-difference quotient.

avgRC(f(x),x,h) ¸

f(x+h)

- f(x)

h

avgRC(sin(x),x,h)|x=2 ¸

sin(h+2)

- sin(2)

h

avgRC(x^2ìx+2,x) ¸

2.ø(x

- .4995)

avgRC(x^2ìx+2,x,.1) ¸

2.ø(x

- .45)

avgRC(x^2ìx+2,x,3) ¸ 2ø(x+1)

4

Bin

MATH/Base menu

integer1

4

Bin

integer

Converts

integer1

to a binary number. Binary

or hexadecimal numbers always have a 0b or
0h prefix, respectively.

256

4Bin ¸

0b100000000

0h1F

4Bin ¸

0b11111

0b

binaryNumber

0h

hexadecimalNumber

Without a prefix,

integer1

is treated as

decimal (base 10). The result is displayed in
binary, regardless of the

Base

mode.

If you enter a decimal integer that is too large
for a signed, 32-bit binary form, a symmetric
modulo operation is used to bring the value
into the appropriate range.

A binary number can have up to
32 digits. A hexadecimal number
can have up to 8.

Zero, not the letter O, followed by b or h.

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