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Augment(), Avgrc(), 4444 bin – Texas Instruments TITANIUM TI-89 User Manual

Page 789: Appendix a: functions and instructions 789

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Appendix A: Functions and Instructions

789

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

л

3 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)

4444Bin

MATH/Base menu

integer1

4444Bin

integer

Converts

integer1

to a binary number. Binary or

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

256

4

Bin ¸ 0b100000000

0h1F

4

Bin ¸ 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.