# What is the difference between "any" and "all" function?

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Md Jonayet am 21 Feb. 2023
Beantwortet: Walter Roberson am 21 Feb. 2023
I am trying to learn the difference between any and all function but it seems like they both are equal and use for finding any non zero value. If anyone could explain with the difference between these two function, I will apprecite it a lot.
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### Antworten (5)

Chris am 21 Feb. 2023
Bearbeitet: Chris am 21 Feb. 2023
B = [0 0 0];
[any(B), all(B)]
ans = 1×2 logical array
0 0
C = [1 1 1];
[any(C), all(C)]
ans = 1×2 logical array
1 1
A = [0 1 0];
[any(A), all(A)]
ans = 1×2 logical array
1 0
If any elements are true, any is true.
all is only true if all elements are true. If any are false, all returns false.
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Image Analyst am 21 Feb. 2023
any returns true if any of the elements are non-zero, while all returns true only if all of them are non-zero. For all to return true, there must not be a single 0 in the array. If there is even a single zero, then all() will return false.
v = [1 0 3 5]
v = 1×4
1 0 3 5
any(v)
ans = logical
1
all(v) % Not all are non-zero because the second element is not non-zero
ans = logical
0
v = [1,2,3,4]
v = 1×4
1 2 3 4
any(v)
ans = logical
1
all(v) % Every single element is non-zero -- ALL of them.
ans = logical
1
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Torsten am 21 Feb. 2023
vec = [0 5 7];
Is any element of "vec" equal to zero ? Yes, the first one:
any(vec)
ans = logical
1
Are all elements of "vec" equal to zero ? No, only the first one:
all(vec)
ans = logical
0
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Sulaymon Eshkabilov am 21 Feb. 2023
There is one significant difference between any() and all(). Here are definitions:
(1) any() - any True if any element of a vector is a nonzero number or is
logical 1 (TRUE). any ignores entries that are NaN (Not a Number).
(2) all() - all True if all elements of a vector are nonzero.
A = [1 1 0 1 0];
any(A)
ans = logical
1
all(A)
ans = logical
0
Another example - B = [1 1 1 1 1];
B = [1 1 1 1 1];
any(B)
ans = logical
1
all(B)
ans = logical
1
Another example - C = [ 0 0 0 0 0];
C = [ 0 0 0 0 0];
any(C)
ans = logical
0
all(C)
ans = logical
0
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Walter Roberson am 21 Feb. 2023
any: at least one of the inputs is non-zero
all: every input is non-zero
Mathematically, all(x) works out the same as ~any(~x)
• 0 0 any=false all=false
• 0 1 any=true all=false
• 1 0 any=true all=false
• 1 1 any=true all=true
any(x) is sum(x(:)~=0)>0
all(x) is sum(x(:)~=0)==numel(x)
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