### Related

a : set(a,b,c);

b: powerset(a);

c:disjoin({},b);

Calculate

##### disjoin-first-if-lambda-listify-makelist-map-mod-setify-subset

expr:n;

makelist(''expr, n, 1...

set(a,b);

Calculate

##### disjoin-first-if-lambda-listify-makelist-map-mod-setify-subset

expr:n;

makelist(''expr, n, 1...

set(a,b);

Calculate

##### disjoin-first-if-lambda-makelist-map-mod-setify-subset

expr:n;

makelist(''expr, n, 1...

set(a,b);

Calculate

a : set(a,b,c);

b: powerset(a);

b:disjoin(b,{});

Calculate

##### disjoin-first-if-lambda-listify-makelist-map-mod-setify-subset

expr:n;

makelist(''expr, n, 1...

set(a,b);

Calculate

##### disjoin-first-if-lambda-makelist-map-mod-setify-subset

expr:n;

makelist(''expr, n, 1...

set(a,b);

Calculate

##### disjoin-first-if-lambda-makelist-map-mod-setify-subset

expr:n;

makelist(''expr, n, 1...

set(a,b);

Calculate

##### disjoin-first-if-lambda-listify-makelist-map-mod-setify-subset

expr:n;

makelist(''expr, n, 1...

set(a,b);

Calculate

##### disjoin-first-if-lambda-listify-makelist-map-mod-setify-subset

expr:n;

makelist(''expr, n, 1...

set(a,b);

Calculate

### disjoin

Run Example
```(%i1)expr:n;
(%o1)                                  n
(%i2) makelist(''expr, n, 1, 100);
(%o2) [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77,
78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96,
97, 98, 99, 100]
(%i3) set(a,b);
(%o3)                               {a, b}
(%i4) first([1,2]);
(%o4)                                  1
(%i5) map(first, [[1, 2]]);
(%o5)                                 [1]
(%i6) for n:1 thru 10 do for y:1 thru 10 do (if(y=2*n) then print(y));
2
4
6
8
10
(%o6)                                done
(%i7) for n:1 thru 10 do (if(mod(n,2)=0) then print([append([n, nil], [])]));
[[2, nil]]
[[4, nil]]
[[6, nil]]
[[8, nil]]
[[10, nil]]
(%o7)                                done
(%i8) listify(disjoin(false, setify(makelist((if(mod(n,2)=0) then n else false), n, 1, 10))));
(%o8)                          [2, 4, 6, 8, 10]
(%i9) map(evenp, [1, 2]);
(%o9)                            [false, true]
(%i10) subset(setify(makelist(''expr, n, 1, 10)), lambda([n], evenp(n)));
(%o10)                         {2, 4, 6, 8, 10}
(%i11) map(reverse, map(lambda([n], 1/2^n), setify(makelist(''expr, n, 1, 10))));
(%o11)            {2, 4, 8, 16, 32, 64, 128, 256, 512, 1024}
(%i12) ```
Run Example
```expr:n;
(%o1)                                  n
(%i2) makelist(''expr, n, 1, 100);
(%o2) [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39,
40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58,
59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77,
78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96,
97, 98, 99, 100]
(%i3) set(a,b);
(%o3)                               {a, b}
(%i4) first([1,2]);
(%o4)                                  1
(%i5) map(first, [[1, 2]]);
(%o5)                                 [1]
(%i6) for n:1 thru 10 do for y:1 thru 10 do (if(y=2*n) then print(y));
2
4
6
8
10
(%o6)                                done
(%i7) for n:1 thru 10 do (if(mod(n,2)=0) then print([append([n], [])]));
[[2]]
[[4]]
[[6]]
[[8]]
[[10]]
(%o7)                                done
(%i8) listify(disjoin(false, setify(makelist((if(mod(n,2)=0) then n else false), n, 1, 10))));
(%o8)                          [2, 4, 6, 8, 10]
(%i9) map(evenp, [1, 2]);
(%o9)                            [false, true]
(%i10) subset(setify(makelist(''expr, n, 1, 10)), lambda([n], evenp(n)));
(%o10)                         {2, 4, 6, 8, 10}
(%i11) map(reverse, map(lambda([n], 1/2^n), setify(makelist(''expr, n, 1, 10))));
(%o11)            {2, 4, 8, 16, 32, 64, 128, 256, 512, 1024}
(%i12) ```
Run Example
```? disjoin;

-- Function: disjoin (<x>, <a>)
Returns the set <a> without the member <x>.  If <x> is not a
member of <a>, return <a> unchanged.

`disjoin' complains if <a> is not a literal set.

`disjoin(<x>, <a>)', `delete(<x>, <a>)', and `setdifference(<a>,
set(<x>))' are all equivalent.  Of these, `disjoin' is generally
faster than the others.

Examples:

(%i1) disjoin (a, {a, b, c, d});
(%o1)                       {b, c, d}
(%i2) disjoin (a + b, {5, z, a + b, %pi});
(%o2)                      {5, %pi, z}
(%i3) disjoin (a - b, {5, z, a + b, %pi});
(%o3)                  {5, %pi, b + a, z}

There are also some inexact matches for `disjoin'.
Try `?? disjoin' to see them.

(%o1)                                true
(%i2) ```

Help for Disjoin