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The Maxima on-line user's manual

Algebra Calculator

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Intosum

Function: intosum (<expr>) Moves multiplicative factors outside a summation to inside. If the index is used in the outside expression, then the function tries to find a reasonable index, the same as it does for sumcontract. This is essentially the reverse idea of the outative property of summations, but note that it does not remove this property, it only bypasses it.

cauchysum:true;
psexpand:false;
simpproduct:true;
sumexpand:false;
gensumnum:1;
sumcontract(intosum(sum(sum(1/((2*k)^s), k, 1, inf) + sum(1/((2*k+1)^s), k, 0, inf), s, 2,2))), nusum;

In some cases, a scanmap (multthru, <expr>) may be necessary before the intosum.

(%o1)                                true
(%i2) 

Related Examples

intosum-ratexpand-sum

f:-_SAGE_VAR_t^(10*_S...

ratexpand(intosum(f));

Calculate

intosum-sumcontract

sumcontract(intosum((...

Calculate

intosum-simpsum-sum-sumcontract

a: sum(a[k], k, 1, 10...

b: sum(b[k], k, 1, 10...

sum(a+b, k, 1, 10);

Calculate

intosum-simpsum-sum-sumcontract

a: sum(a[k], k, 1, 10...

b: sum(b[k], k, 1, 10...

sum(a+b, k, 1, 10);

Calculate

intosum-simpsum-sum-sumcontract

a: sum(a[k], k, 1, 10...

b: sum(b[k], k, 1, 10...

sum(a+b, k, 1, 10);

Calculate

intosum-ratexpand-simpsum-sum

f:-_SAGE_VAR_t^(10*_S...

ratexpand(intosum(f))...

Calculate

intosum

x : (-a/2 + b/2 + c/2...

intosum(x);

Calculate

intosum-simpsum-sum-sumcontract

a: sum(a[k], k, 1, 10...

b: sum(b[k], k, 1, 10...

sum(a+b, k, 1, 10);

Calculate

intosum-sumexpand-true

sumexpand: true;

x : (-a/2 + b/2 + c/2...

intosum(x);

Calculate