Modulo of a power set
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So I am given a modulo of a set A, say 5. I know that the formula for the modulo of the power set is 2^5 however I am not sure why that is the actual formula. (2^n where n is the modulo of the set)
Would anyone be able to explain?
Here's the actual question as I think I'm not fully understanding the question correctly.
enter image description here
Thanks in advance :)
discrete-mathematics
asked Dec 21 '18 at 3:53
blank_blank_
32
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add a comment |
$begingroup$
So I am given a modulo of a set A, say 5. I know that the formula for the modulo of the power set is 2^5 however I am not sure why that is the actual formula. (2^n where n is the modulo of the set)
Would anyone be able to explain?
Here's the actual question as I think I'm not fully understanding the question correctly.
enter image description here
Thanks in advance :)
discrete-mathematics
asked Dec 21 '18 at 3:53
blank_blank_
32
$endgroup$
$begingroup$
Please do not delete posts after having received an answer.
$endgroup$
– quid♦
Dec 21 '18 at 10:42
$begingroup$
People commonly [over-]use the vertical line for the following completely unrelated things: (1) "$|x|$" is the absolute value of real/complex number $x$. (2) "$||f||$" is the norm of a real/complex function $f$. (3) "$k mid n$" means "$k$ divides $n$" (i.e. $n$ is an integer multiple of $k$) for reals $k,n$. (4) "$AB || CD$" means "line $AB$ is parallel to line $CD$" for points $A,B,C,D$". (5) $|S|$ is the cardinality of set $S$.
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– user21820
Dec 23 '18 at 6:30
$begingroup$
Don't assume that the same symbol means the same thing. "Mr. Blank" has a dot that is not a full-stop, and the apostrophe in "Janet's cat" and "Janet's a cat" mean totally different things.
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– user21820
Dec 23 '18 at 6:32
add a comment |
$begingroup$
So I am given a modulo of a set A, say 5. I know that the formula for the modulo of the power set is 2^5 however I am not sure why that is the actual formula. (2^n where n is the modulo of the set)
Would anyone be able to explain?
Here's the actual question as I think I'm not fully understanding the question correctly.
enter image description here
Thanks in advance :)
discrete-mathematics
asked Dec 21 '18 at 3:53
blank_blank_
32
$endgroup$
So I am given a modulo of a set A, say 5. I know that the formula for the modulo of the power set is 2^5 however I am not sure why that is the actual formula. (2^n where n is the modulo of the set)
Would anyone be able to explain?
Here's the actual question as I think I'm not fully understanding the question correctly.
enter image description here
Thanks in advance :)
discrete-mathematics
discrete-mathematics
asked Dec 21 '18 at 3:53
blank_blank_
32
asked Dec 21 '18 at 3:53
blank_blank_
32
edited Dec 21 '18 at 4:03
blank_
asked Dec 21 '18 at 3:53
blank_blank_
32
asked Dec 21 '18 at 3:53
blank_blank_
32
asked Dec 21 '18 at 3:53
blank_blank_
32
32
$begingroup$
Please do not delete posts after having received an answer.
$endgroup$
– quid♦
Dec 21 '18 at 10:42
$begingroup$
People commonly [over-]use the vertical line for the following completely unrelated things: (1) "$|x|$" is the absolute value of real/complex number $x$. (2) "$||f||$" is the norm of a real/complex function $f$. (3) "$k mid n$" means "$k$ divides $n$" (i.e. $n$ is an integer multiple of $k$) for reals $k,n$. (4) "$AB || CD$" means "line $AB$ is parallel to line $CD$" for points $A,B,C,D$". (5) $|S|$ is the cardinality of set $S$.
$endgroup$
– user21820
Dec 23 '18 at 6:30
$begingroup$
Don't assume that the same symbol means the same thing. "Mr. Blank" has a dot that is not a full-stop, and the apostrophe in "Janet's cat" and "Janet's a cat" mean totally different things.
$endgroup$
– user21820
Dec 23 '18 at 6:32
add a comment |
$begingroup$
Please do not delete posts after having received an answer.
$endgroup$
– quid♦
Dec 21 '18 at 10:42
$begingroup$
People commonly [over-]use the vertical line for the following completely unrelated things: (1) "$|x|$" is the absolute value of real/complex number $x$. (2) "$||f||$" is the norm of a real/complex function $f$. (3) "$k mid n$" means "$k$ divides $n$" (i.e. $n$ is an integer multiple of $k$) for reals $k,n$. (4) "$AB || CD$" means "line $AB$ is parallel to line $CD$" for points $A,B,C,D$". (5) $|S|$ is the cardinality of set $S$.
$endgroup$
– user21820
Dec 23 '18 at 6:30
$begingroup$
Don't assume that the same symbol means the same thing. "Mr. Blank" has a dot that is not a full-stop, and the apostrophe in "Janet's cat" and "Janet's a cat" mean totally different things.
$endgroup$
– user21820
Dec 23 '18 at 6:32
$begingroup$
Please do not delete posts after having received an answer.
$endgroup$
– quid♦
Dec 21 '18 at 10:42
$begingroup$
Please do not delete posts after having received an answer.
$endgroup$
– quid♦
Dec 21 '18 at 10:42
$begingroup$
People commonly [over-]use the vertical line for the following completely unrelated things: (1) "$|x|$" is the absolute value of real/complex number $x$. (2) "$||f||$" is the norm of a real/complex function $f$. (3) "$k mid n$" means "$k$ divides $n$" (i.e. $n$ is an integer multiple of $k$) for reals $k,n$. (4) "$AB || CD$" means "line $AB$ is parallel to line $CD$" for points $A,B,C,D$". (5) $|S|$ is the cardinality of set $S$.
$endgroup$
– user21820
Dec 23 '18 at 6:30
$begingroup$
People commonly [over-]use the vertical line for the following completely unrelated things: (1) "$|x|$" is the absolute value of real/complex number $x$. (2) "$||f||$" is the norm of a real/complex function $f$. (3) "$k mid n$" means "$k$ divides $n$" (i.e. $n$ is an integer multiple of $k$) for reals $k,n$. (4) "$AB || CD$" means "line $AB$ is parallel to line $CD$" for points $A,B,C,D$". (5) $|S|$ is the cardinality of set $S$.
$endgroup$
– user21820
Dec 23 '18 at 6:30
$begingroup$
Don't assume that the same symbol means the same thing. "Mr. Blank" has a dot that is not a full-stop, and the apostrophe in "Janet's cat" and "Janet's a cat" mean totally different things.
$endgroup$
– user21820
Dec 23 '18 at 6:32
$begingroup$
Don't assume that the same symbol means the same thing. "Mr. Blank" has a dot that is not a full-stop, and the apostrophe in "Janet's cat" and "Janet's a cat" mean totally different things.
$endgroup$
– user21820
Dec 23 '18 at 6:32
add a comment |
1 Answer
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You mean the cardinality of the power set.
For each element in $A$, there are two options, we have to decide whether to include it in a subset or exclude it, hence the formula of $2^n$ by multiplicative principle.
answered Dec 21 '18 at 3:55
Siong Thye GohSiong Thye Goh
102k1467119
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$begingroup$
You mean the cardinality of the power set.
For each element in $A$, there are two options, we have to decide whether to include it in a subset or exclude it, hence the formula of $2^n$ by multiplicative principle.
answered Dec 21 '18 at 3:55
Siong Thye GohSiong Thye Goh
102k1467119
$endgroup$
add a comment |
$begingroup$
You mean the cardinality of the power set.
For each element in $A$, there are two options, we have to decide whether to include it in a subset or exclude it, hence the formula of $2^n$ by multiplicative principle.
answered Dec 21 '18 at 3:55
Siong Thye GohSiong Thye Goh
102k1467119
$endgroup$
add a comment |
$begingroup$
You mean the cardinality of the power set.
For each element in $A$, there are two options, we have to decide whether to include it in a subset or exclude it, hence the formula of $2^n$ by multiplicative principle.
answered Dec 21 '18 at 3:55
Siong Thye GohSiong Thye Goh
102k1467119
$endgroup$
You mean the cardinality of the power set.
For each element in $A$, there are two options, we have to decide whether to include it in a subset or exclude it, hence the formula of $2^n$ by multiplicative principle.
answered Dec 21 '18 at 3:55
Siong Thye GohSiong Thye Goh
102k1467119
answered Dec 21 '18 at 3:55
Siong Thye GohSiong Thye Goh
102k1467119
answered Dec 21 '18 at 3:55
Siong Thye GohSiong Thye Goh
102k1467119
answered Dec 21 '18 at 3:55
Siong Thye GohSiong Thye Goh
102k1467119
102k1467119
add a comment |
add a comment |
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– quid♦
Dec 21 '18 at 10:42
$begingroup$
People commonly [over-]use the vertical line for the following completely unrelated things: (1) "$|x|$" is the absolute value of real/complex number $x$. (2) "$||f||$" is the norm of a real/complex function $f$. (3) "$k mid n$" means "$k$ divides $n$" (i.e. $n$ is an integer multiple of $k$) for reals $k,n$. (4) "$AB || CD$" means "line $AB$ is parallel to line $CD$" for points $A,B,C,D$". (5) $|S|$ is the cardinality of set $S$.
$endgroup$
– user21820
Dec 23 '18 at 6:30
$begingroup$
Don't assume that the same symbol means the same thing. "Mr. Blank" has a dot that is not a full-stop, and the apostrophe in "Janet's cat" and "Janet's a cat" mean totally different things.
$endgroup$
– user21820
Dec 23 '18 at 6:32