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and-cardinality-every-integer_partitions-integerp-lambda-subset

s: integer_partitions...

cardinality (s);

xprimep(x) := intege...

Calculate

and-cardinality-every-integer_partitions-integerp-lambda-subset

s: integer_partitions...

cardinality (s);

xprimep(x) := intege...

Calculate

and-cardinality-every-integer_partitions-integerp-lambda-subset

s: integer_partitions...

cardinality (s);

xprimep(x) := intege...

Calculate

and-cardinality-every-integer_partitions-integerp-lambda-subset

s: integer_partitions...

cardinality (s);

xprimep(x) := intege...

Calculate

and-cardinality-every-integer_partitions-integerp-lambda-subset

s: integer_partitions...

cardinality (s);

xprimep(x) := integer...

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and-cardinality-every-integer_partitions-integerp-lambda-subset

s: integer_partitions...

cardinality (s);

xprimep(x) := intege...

Calculate

and-cardinality-every-integer_partitions-integerp-lambda-subset

s: integer_partitions...

cardinality (s);

xprimep(x) := intege...

Calculate

and-cardinality-every-integer_partitions-integerp-lambda-subset

s: integer_partitions...

cardinality (s);

xprimep(x) := intege...

Calculate

and-cardinality-every-integer_partitions-integerp-lambda-subset

s: integer_partitions...

cardinality (s);

xprimep(x) := intege...

Calculate

and-cardinality-every-integer_partitions-integerp-lambda-subset

s: integer_partitions...

cardinality (s);

xprimep(x) := intege...

Calculate

[and,cardinality,every,integer_partitions,integerp,lambda,subset]

Run Example
(%i1)s: integer_partitions (6, 3);
(%o1) {[2, 2, 2], [3, 2, 1], [3, 3, 0], [4, 1, 1], [4, 2, 0], [5, 1, 0], 
                                                                     [6, 0, 0]}
(%i2)  cardinality (s);
(%o2)                                  7
(%i3)  xprimep(x) := integerp(x) and (x <
 32);
(%o3)               xprimep(x) := integerp(x) and (x < 32)
(%i4) k: subset (s, lambda ([x], every (xprimep, x)));
(%o4) {[2, 2, 2], [3, 2, 1], [3, 3, 0], [4, 1, 1], [4, 2, 0], [5, 1, 0], 
                                                                     [6, 0, 0]}
(%i5) cardinality (k);
(%o5)                                  7
(%i6) cardinality (subset (integer_partitions(6,3), lambda ([x], every (xprimep, x))));
(%o6)                                  7
(%i7) 
Run Example
s: integer_partitions (4, 3);
(%o1)            {[2, 1, 1], [2, 2, 0], [3, 1, 0], [4, 0, 0]}
(%i2)  cardinality (s);
(%o2)                                  4
(%i3)  xprimep(x) := integerp(x) and (x <
 32);
(%o3)               xprimep(x) := integerp(x) and (x < 32)
(%i4) k: subset (s, lambda ([x], every (xprimep, x)));
(%o4)            {[2, 1, 1], [2, 2, 0], [3, 1, 0], [4, 0, 0]}
(%i5) cardinality (k);
(%o5)                                  4
(%i6) 
Run Example
s: integer_partitions (1, 3);
(%o1)                             {[1, 0, 0]}
(%i2)  cardinality (s);
(%o2)                                  1
(%i3)  xprimep(x) := integerp(x) and (x <
 32);
(%o3)               xprimep(x) := integerp(x) and (x < 32)
(%i4) k: subset (s, lambda ([x], every (xprimep, x)));
(%o4)                             {[1, 0, 0]}
(%i5) cardinality (k);
(%o5)                                  1
(%i6) 
[allroots,at,charpoly,float,lambda,matrix,solve] [and,apply,cardinality,every,integer_partitions,integerp,lambda,map,subset] [and,cardinality,every,integer_partitions,integerp,lambda,primep,subset] [and,cardinality,every,integer_partitions,integerp,lambda,subset] [and,cos,do,if,lambda,let,print,sin] [and,cos,do,if,lambda,print,sin] [and,every,integer_partitions,integerp,lambda,subset] [and,if,labels,lambda,let,not,or] [and,if,lambda,maplist] [and,or,true] [and,or] [and,true] [and] [append,atom,block,delete,flatten,if,lambda,load,map,return] [append,disjoin,first,if,lambda,listify,makelist,map,mod,setify,subset] [apply,cardinality,integer_partitions,lambda,map] [atom,evenp,subset] [bftorat,block,cons,delete,emptyp,false,first,float2bf,fpprec,if,integerp,kill,lambda,listp,map,mod,ratdenom,ratepsilon,ratprint,rest,return] [bftorat,block,delete,float,if,integerp,mod,rat,ratdenom,ratepsilon,ratprint] [cardinality,every,integer_partitions,lambda,primep,subset] [cardinality,every,integer_partitions,lambda,subset] [cardinality,false,powerset,simp] [cardinality,false,simp] [cardinality,integer_partitions,num_partitions] [cardinality,integer_partitions] [cardinality,lambda] [cardinality,powerset] [cardinality] [cartesian_product,lambda,makelist,product,setify,subset] [cartesian_product,lambda,mod,product,subset] [cos,lambda,plot2d,sin,sqrt] [delete,every,full_listify,lambda,listify,makelist,map,mod,primep,set_partitions,sort,sublist] [disjoin,first,if,lambda,listify,makelist,map,mod,setify,subset] [disjoin,first,if,lambda,makelist,map,mod,setify,subset] [do,evenp,first,if,lambda,makelist,map,return,setify,subset] [do,evenp,first,if,lambda,makelist,map,setify,subset] [equiv_classes,integerp,is,lambda] [evenp,first,if,lambda,makelist,map,setify,subset] [evenp,first,lambda,makelist,map,setify,subset] [evenp,if,lambda,makelist,map,setify,subset] [evenp,lambda,makelist,map,setify,subset] [factor,is,lambda] [first,if,lambda,makelist,map,mod,setify,subset] [genmatrix,lambda] [integer_partitions,length] [integer_partitions] [intersect,lambda,setdifference,sublist,subset,union] [is,lambda,subset] [jacobi,lambda,map] [lambda,sublist,subset]

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