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List(), List 4444 mat(), 4444 ln – Texas Instruments TITANIUM TI-89 User Manual

Page 837: Ln()

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Appendix A: Functions and Instructions

837

@

@

@

@list()

MATH/List menu

list

(

list1

) ⇒

list

Returns a list containing the differences between
consecutive elements in

list1

. Each element of

list1

is subtracted from the next element of

list1

. The

resulting list is always one element shorter than
the original

list1

.

@

list({20,30,45,70}) ¸

{10,15,25}

list

4444mat()

MATH/List menu

list

4444mat(

list

[,

elementsPerRow

])

matrix

Returns a matrix filled row-by-row with the
elements from

list

.

elementsPerRow

, if included, specifies the number

of elements per row. Default is the number of
elements in

list

(one row).

If

list

does not fill the resulting matrix, zeros are

added.

list4mat({1,2,3})

¸

[1 2 3]

list4mat({1,2,3,4,5},2)

¸

1 2

3 4

5 0

4444ln

MATH/String menu

4444 ln

expression

expression

Causes the input expression to be

converted to an expression containing

only natural logs (ln).

Log(x)4 ln ¸

ln( )

ln(10)

x

ln()

2 x key

ln(

expression1

)

expression

ln(

list1

)

list

Returns the natural logarithm of the argument.

For a list, returns the natural logarithms of the
elements.

ln(2.0)

¸

.693

...

If complex format mode is

REAL

:

ln({ë 3,1.2,5})

¸

Error: Non-real result

If complex format mode is

RECTANGULAR

:

ln({ë 3,1.2,5})

¸

{ln(3)

+

i .182

...

ln(5)}

ln(

squareMatrix1

)

squareMatrix

Returns the matrix natural logarithm of

squareMatrix1

. This is

not

the same as calculating

the natural logarithm of each element. For
information about the calculation method, refer
to

cos()

on.

squareMatrix1

must be diagonalizable. The result

always contains floating-point numbers.

In Radian angle mode and Rectangular complex
format mode:

ln([1,5,3;4,2,1;6,л2,1]) ¸

1.831…+1.734…ш

i

.009…м 1.490…ш

i

.448…м.725…ш

i

1.064…+.623ø

i

л

.266…м 2.083…ш

i

1.124…+1.790…ø

i