Maintenance script: Initial automated import

2016-02-24T18:37:42Z

Initial automated import

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{{Template:TI-BASIC:Command
|picture=MIN.GIF
|summary=Returns the minimum of two elements or of a list.
|syntax=* for two numbers: min(''x'',''y'')
* for a list: min(''list'')
* comparing a number to each element of a list: min(''x'',''list'') or min(''list'',''x'')
* pairwise comparing two lists: min(''list1'',''list2'')
|location=Press:
# MATH to access the [[TI-BASIC:Math|Math]] menu.
# RIGHT to access the NUM submenu.
# 6 to select min(, or use arrows.

Alternatively, press:
# 2nd LIST to access the list menu.
# LEFT to access the MATH submenu.
# ENTER to select min(.
|compatibility=TI-83/84/+/SE
|size=1 byte
}}

min(''x'',''y'') returns the smallest of the two numbers ''x'' and ''y''. min(''list'') returns the smallest element of ''list''. min(''list1'',''list2'') returns the pairwise minima of the two lists. min(''list1'',''x'') (equivalently, min(''x'',''list1'')) returns a list whose elements are the smaller of ''x'' or the corresponding element of the original list.

min(2,3)
2
min({2,3,4})
2
min({1,3},{4,2})
{1 2}
min({1,3},2)
{1 2}

Unlike [[TI-BASIC:Operators#relational|relational operators]], such as < and >, min( can also compare complex numbers. To do this, both arguments must be complex -- either complex numbers or complex lists: min(2,''i'') will throw a [[TI-BASIC:Errors#datatype|ERR:DATA TYPE]] error even though min(2+0''i'',''i'') won't. In the case of complex numbers, the number with the smallest absolute value will be returned. When the two numbers have the same absolute value, the second one will be returned: min(''i'',-''i'') returns -''i'' and min(-''i'',''i'') returns ''i''.

= Advanced Uses =

min( can be used in Boolean comparisons to see if every value of a list is 1 (true) -- useful because commands like [[TI-BASIC:If|If]] or [[TI-BASIC:While|While]] only deal with numbers, and not [[TI-BASIC:Lists|Lists]], but comparisons like L1=L2 return a list of values. In general, the behavior you want varies, and you will use the min( or [[TI-BASIC:Max|Max(]] functions accordingly.

Using min( will give you a strict test -- only if every single value of a list is true will min( return true. For example, the following code will test if two lists are identical -- they have the same exact elements -- and print EQUAL in that case:

:If dim(L1)=dim(L2
:Then
:If min(L1=L2
:Disp "EQUAL
:End

The first check, to see if the sizes are identical, is necessary because otherwise comparing the lists will return a [[TI-BASIC:Errors#dimmismatch|ERR:DIM MISMATCH]] error.

= Error Conditions =

* '''[[TI-BASIC:Errors#datatype|ERR:DATA TYPE]]''' is thrown when comparing a real and a complex number. This can be avoided by adding 0''i'' to the real number.
* '''[[TI-BASIC:Errors#dimmismatch|ERR:DIM MISMATCH]]''' is thrown, when using min( with two lists, if they have different dimensions.

= Related Commands =

* [[TI-BASIC:Max|Max(]]
* [[TI-BASIC:Sum|Sum(]]
* [[TI-BASIC:Prod|Prod(]][[Category:TI-BASIC]]
[[Category:TIBD]]

TI-BASIC:Min - Revision history

Maintenance script: Initial automated import