Texas Instruments TITANIUM TI-89 - Manual (Page 837)

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) + pø 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 …