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• When you use a list and a value with a two-argument function, the value is used with each element in the list.
LIST OPS Menu
LIST OPS Menu
To display the
LIST OPS
menu, press [2nd] [LIST] [right key].
NAMES OPS MATH
1: SortA(
Sorts lists in ascending order.
2: SortD(
Sorts lists in descending order.
3: dim(
Sets the list dimension.
4: Fill(
Fills all elements with a constant.
5: seq(
Creates a sequence.
6: cumSum(
7:
DeltaList(
Returns a list of cumulative sums.
Returns difference of successive elements.
8: Select(
Selects specific data points.
9: augment(
Concatenates two lists.
0: List►matr(
Stores a list to a matrix.
A: Matr►list(
Stores a matrix to a list.
B:
L
Designates the list-name data type.
SortA(, SortD(
SortA(
(sort ascending) sorts list elements from low to high values.
SortD(
(sort descending) sorts list elements from high to low values. Complex lists are sorted based on magnitude (modulus).
With one list,
SortA(
and
SortD(
sort the elements of
listname
and update the list in memory.
SortA(listname) SortD(listname)
Chapter 11: Lists 168
With two or more lists,
SortA(
and
SortD(
sort
keylistname
, and then sort each
dependlist
by placing its elements in the same order as the corresponding elements in
keylistname
. All lists must have the same dimension.
SortA(keylistname,dependlist1[,dependlist2,...,dependlist n])
SortD(keylistname,dependlist1[,dependlist2,...,dependlist n])
Note:
• In the example, 5 is the first element in
L4
, and 1 is the first element in
L5
. After
SortA(L4,L5)
, 5 becomes the second element of
L4
, and likewise, 1 becomes the second element of
L5
.
•
SortA(
and
SortD(
are the same as
SortA(
and
SortD(
on the
STAT EDIT
menu (Chapter 12).
• You cannot sort a locked list.
Using dim( to Find List Dimensions dim(
(dimension) returns the length (number of elements) of
list
.
dim(list)
Using dim( to Create a List
You can use
dim(
with [STO right arrow] to create a new
listname
with dimension
length
from 1 to 999.
The elements are zeros.
length
right arrow
dim(listname)
Using dim( to Redimension a List
You can use
dim
with [STO right arrow] to redimension an existing
listname
to dimension
length
from
1 to 999.
• The elements in the old
listname
that are within the new dimension are not changed.
• Extra list elements are filled by 0.
• Elements in the old list that are outside the new dimension are deleted.
Chapter 11: Lists 169
length
right arrow
dim(listname)
Fill(
Fill(
replaces each element in
listname
with
value
.
Fill(value,listname)
Note: dim(
and
Fill(
are the same as
dim(
and
Fill(
on the
MATRX MATH
menu (Chapter 10).
seq( seq(
(sequence) returns a list in which each element is the result of the evaluation of
expression
with regard to
variable
for the values ranging from
begin
to
end
at steps of
increment
.
variable
need not be defined in memory.
increment
can be negative; the default value for
increment
is 1.
seq(
is not valid within
expression
. Complex lists are not valid.
A wizard will open to assist the entry of the syntax.
Note:
seq( is the only function in
LIST OPS that has a wizard.
seq(expression,variable,begin,end[,increment])
cumSum( cumSum(
(cumulative sum) returns the cumulative sums of the elements in
list
, starting with the first element.
list
elements can be real or complex numbers.
cumSum(list)
Chapter 11: Lists 170
Delta List(
Delta
List(
returns a list containing the differences between consecutive elements in
list
. Delta
List
subtracts the first element in
list
from the second element, subtracts the second element from the third, and so on. The list of differences is always one element shorter than the original
list
.
list
elements can be a real or complex numbers.
Delta
List(list)
Select(
Select(
selects one or more specific data points from a scatter plot or xyLine plot (only), and then stores the selected data points to two new lists,
xlistname
and
ylistname
. For example, you can use
Select(
to select and then analyze a portion of plotted CBL 2™/CBL™ or CBR™ data.
Select(xlistname,ylistname)
Note:
Before you use
Select(
, you must have selected (turned on) a scatter plot or xyLine plot.
Also, the plot must be displayed in the current viewing window.
Before Using Select(
Before using
Select(
, follow these steps.
1. Create two list names and enter the data.
2. Turn on a stat plot, select scatter plot or xyLine, and enter the two list names for
Xlist:
and
Ylist:
(Chapter 12).
3. Use
ZoomStat
to plot the data (Chapter 3).
MathPrint™
Chapter 11: Lists 171
Classic
Using Select( to Select Data Points from a Plot
To select data points from a scatter plot or xyLine plot, follow these steps.
1. Press [2nd] [LIST] [right key]
8
to select
8:Select(
from the
LIST OPS
menu.
Select(
is pasted to the home screen.
2. Enter
xlistname
, press [,], enter
ylistname
, and then press [ )] to designate list names into which you want the selected data to be stored.
3. Press [ENTER]. The graph screen is displayed with
Left Bound?
in the bottom-left corner.
4. Press [up key] or [down key] (if more than one stat plot is selected) to move the cursor onto the stat plot from which you want to select data points.
5. Press [left key] and [right key] to move the cursor to the stat plot data point that you want as the left bound.
6. Press [ENTER]. A right triangle indicator on the graph screen shows the left bound.
Right
Bound?
is displayed in the bottom-left corner.
Chapter 11: Lists 172
7. Press [left key] or [right key] to move the cursor to the stat plot point that you want for the right bound, and then press [ENTER].
The x-values and y-values of the selected points are stored in
xlistname
and
ylistname
. A new stat plot of
xlistname
and
ylistname
replaces the stat plot from which you selected data points. The list names are updated in the stat plot editor.
Note:
The two new lists (
xlistname
and
ylistname
) will include the points you select as left bound and right bound. Also,
left-bound x-value
< (less than or equal to)
right-bound x-value
must be true.
augment( augment(
concatenates the elements of
listA
and
listB
. The list elements can be real or complex numbers.
augment(listA,listB)
List►matr(
List
►
matr(
(lists stored to matrix) fills
matrixname
column by column with the elements from each list. If the dimensions of all lists are not equal, then
List
►
matr(
fills each extra
matrixname
row with
0. Complex lists are not valid.
Chapter 11: Lists 173
List
►
matr(list1,list2, ... ,list n,matrixname)
Matr►list(
Matr
►
list(
(matrix stored to lists) fills each
listname
with elements from each column in
matrix
. If the number of
listname
arguments exceeds the number of columns in
matrix
, then
Matr
►
list(
ignores extra
listname
arguments. Likewise, if the number of columns in
matrix
exceeds the number of
listname
arguments, then
Matr
►
list(
ignores extra
matrix
columns.
Matr
►
list(matrix,listname1,listname2, . . . ,listname n)
Matr
►
list(
also fills a
listname
with elements from a specified
column#
in
matrix
. To fill a list with a specific column from
matrix
, you must enter a
column#
after
matrix
.
Matr
►
list(matrix,column#,listname)
L
preceding one to five characters identifies those characters as a user-created
listname
.
listname
may comprise letters, theta, and numbers, but it must begin with a letter from A to Z or theta.
L
listname
Generally,
L
must precede a user-created list name when you enter a user-created list name where other input is valid, for example, on the home screen. Without the
L
, the TI-84 Plus may misinterpret a user-created list name as implied multiplication of two or more characters.
L
need not precede a user-created list name where a list name is the only valid input, for example, at the
Name=
prompt in the stat list editor or the
Xlist:
and
Ylist:
prompts in the stat plot editor. If you enter
L
where it is not necessary, the TI-84 Plus will ignore the entry.
Chapter 11: Lists 174
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