Example:
{ 1 2 3 4 5 }
{ A B C D E }
Use of lists is very useful to make tables, statistical calculus and others.
Syntax of lists commands are presented below, after the bar.
1) +
The operator + is used to catenate lists. For add lists use ADD
Example:
Catenates {1 2 3 4} to the list {5 6 7 8 9 }
{1 2 3 4}
{5 6 7 8 9 }
+
Result: {1 2 3 4 5 6 7 8 9 }
Operator + works also with strings catenating lists.
Example:
{a b c d}
{1 2 3 4}
+
Result:
{a b c d 1 2 3 4 }
2) ADD
Is a command for add lists. It is different of the operator +
Example:
Add the list { 1 2 3 4 5 } to the list { 6 7 8 9 10 }
{ 1 2 3 4 5 }
{ 6 7 8 9 10 }
ADD
Result: {7 9 11 13 15 }
ADD also sums a constant to a list
Example:
{ 1 2 3 4 5 }
5
ADD
Result: {5 7 8 9 10 }
3)
Subtracts a constant from a list, element by element.
Example:
Subtract 5 from the list {2 3 4 5 6 }
{2 3 4 5 6 }
5
Result:
{-3 -2 -1 0 1}
The operator "
" also works with lists:Example:
{2 3 4 5 6 }
(1 3 2 4 7}
Result:
{1 0 2 1 -1}
4)
Divide the list, element by element.
Example:
Divide the list {2 3 4 5 6 } by 5
{2 3 4 5 6 }
5
Result:
{ .4 .6 .8 1 1.2}
5) x
Multiplies a list by a constant.
Example:
Multiplies the list {2 3 4 5 6 } by 5
{2 3 4 5 6 }
5
x
Result:
{ 10 15 20 25 30}
6) Other Functions
You can use functions like Sin(x) , Sqrt(x), X^Y and others built in functions to lists.
The syntax is :
{ a1 a2 a3 a4 ...an }
Function
Example:
Calculate the sine of the list { 2 3 4 5 6 }
{ 2 3 4 5 6 }
[SIN]
Result:
{ 0.90930 0.14112 -0.75680 -0.95892 -0.27942 }
(using FIX 5 and angle mode RAD)
7) Using Your Own functions
You can also use your own functions to the list.
The syntax is :
{ a1 a2 a3 a4 ...an }
Your Function
First of all you need create a function. You can make it using DEFINE
Example:
Create the function f(x)=X^2+X + 5
Write in level 1:
a) 'F(X)=X^2 - - X - - 5' and press [ENTER]
b) press
[DEF] (DEF stands for DEFINE - the magenta function for the the [STO] key)Now type,
{2 3 4 5 6 } and press
F
Result:
{ 11 17 25 35 47 }
Note:
you must use - - instead of + or HP will catenate lists returning a wrong result.
Example:
If you define a function as 'F(X)=X^2 + X + 5' it will catenate:
X^2 + X + 5
that is,
{2 3 4 5 6 }x{2 3 4 5 6 } = {4 9 16 35 36}
catened with {2 3 4 5 6 } = {4 9 16 35 36 2 3 4 5 6 }
and catened with {5} that results:{4 9 16 35 36 2 3 4 5 6 5}
Other operators like
, , x ,
,
and logs
are not affected by catenation of lists as happens with +.Always + is used it catenates and not add lists.
8) Commands of the MATH LIST Menu
9)
LISTSubtracts the previous element in the list (an-1) from the element (an).
{a1 a2 a3 a4 a5 .... an}
[
LIST]Result:
{ a2-a1 a3-a2 a4-a3 a5-a4}
The order of the resultant list is N - 1, where N is the number of elements of the list.
Example:
{ 5 8 10 15 22}
[
LIST]Result :
{ 3 2 5 7 }
10)
LIST
Sum all elements of the list
Example:
{ 2 3 4 5 6}
[
LIST]Result: 20
11)
LIST
Multiplies all elements of the list
Example:
{ 2 3 4 5 6}
[
LIST ]Result:720
12) SORT
sort the elements of a list
Example:
{ 9 4 3 6 0 }
[ SORT ]
Result:{ 0 3 4 6 9 }
13) REVLI
Return the reverse of a list
Example:
{ 1 2 3 4 5 6}
[ REVLI ]
Result:{ 6 5 4 3 2 1 }