| Property | Value |
|---|---|
| Hex Value | $19 |
| Categories | |
| Localizations |
|
max(
Overview
Returns the larger of valueA and valueB.
Availability: Token available everywhere.
Syntax
max(valueA,valueB)
Arguments
| Name | Type | Optional |
|---|---|---|
| valueA | ||
| valueB |
Location
math, NUM, 7:max(
Overview
Returns the larger of valueA and valueB.
Availability: Token available everywhere.
Syntax
max(list)
Arguments
| Name | Type | Optional |
|---|---|---|
| list | list |
Location
math, NUM, 7:max(
Overview
Returns largest real or complex element in list.
Availability: Token available everywhere.
Syntax
max(list)
Arguments
| Name | Type | Optional |
|---|---|---|
| list | list |
Location
2nd, list, MATH, 2:max(
Overview
Returns a real or complex list of the larger of each pair of elements in listA and listB.
Availability: Token available everywhere.
Syntax
max(listA,listB)
Arguments
| Name | Type | Optional |
|---|---|---|
| listA | list | |
| listB | list |
Location
2nd, list, MATH, 2:max(
Overview
Returns a real or complex list of the larger of value or each list element.
Availability: Token available everywhere.
Syntax
max(value,list)
Arguments
| Name | Type | Optional |
|---|---|---|
| value | ||
| list | list |
Location
2nd, list, MATH, 2:max(
Description
max(X,Y) returns the largest of the two numbers X and Y. max(list) returns the largest element of list. max(list1,list2) returns the pairwise maxima of the two lists. max(list1,X) (equivalently, max(X,list1)) returns a list whose elements are the larger of X or the corresponding element of the original list.
max(2,3)
3
max({2,3,4})
4
max({1,3},{4,2})
{4 3}
max({1,3},2)
{2 3}
Unlike comparison operators such as < and >, max( can also compare complex numbers. To do this, both arguments must be complex — either complex numbers or complex lists: max(2,𝑖) will throw an error even though max(2+0𝑖,𝑖) won't. In the case of complex numbers, the number with the largest absolute value will be returned. When the two numbers have the same absolute value, the first one will be returned: max(𝑖,-𝑖) returns 𝑖 and max(-𝑖,𝑖) returns -𝑖.
Advanced Uses
max( can be used in Boolean comparisons to see if at least one of a list is 1 (true) — useful because commands like If or While only deal with numbers, and not lists, but comparisons like L₁=L₂ return a list of values. In general, the behavior you want varies, and you will use the min( function or the max( function accordingly.
Using max( will give you a lenient test — if any one element of the list is 1 (true), then the max( of the list is true — this is equivalent to putting an or in between every element. For example, this tests if K is equal to any of 24, 25, 26, or 34 (the getKey arrow key values):
:If max(K={24,25,26,34
:Disp "ARROW KEY
To get the element of a real list in Ans with the greatest absolute value, use imag(max(𝑖Ans)) or max(abs(Ans)).
max( can be also used along with min( to constrain a value between a lower and upper number:
:max(-1,min(1,100)) // returns 1 because 1 is between -1 & 100
:max(-1,min(1,0)) // returns 0 because 1 is not between -1 & 0
where the bounds for which the number 1 must fall between are first argument of max( and the second argument of min( in the above code.
Error Conditions
- ERR:DATA TYPE is thrown when comparing a real and a complex number. This can be avoided by adding +0𝑖 to the real number (or i^4 right after it, for those who are familiar with complex numbers)
- ERR:DIM MISMATCH is thrown, when using max( with two lists, if they have different dimensions.
Related Commands
Source: parts of this page were written by the following TI|BD contributors: burr, coltonj96, DarkerLine, GoVegan, kg583, lirtosiast, Mapar007, simplethinker.
History
| Calculator | OS Version | Description |
|---|---|---|
| TI-82 | 1.0 | Added |
Created: February 23, 2023 23:15:01