Sponsored links: Algebra eBooks
 

Related

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

intosum

Run Example
(%i1)cauchysum:true;
(%o1)                                true
(%i2) psexpand:multi;
(%o2)                                multi
(%i3) sumexpand:false;
(%o3)                                false
(%i4) gensumnum:0;
(%o4)                                  0
(%i5) intosum(sumcontract(sum(sum(1/((2*k)^s), k, 1, inf) + sum(1/((2*k+1)^s), k, 0, inf), s, 2,2))), simpsum;
                          inf
                          ====                      2
                          \           1          %pi
(%o5)                      >    -------------- + ----
                          /        2              24
                          ====  4 k  + 4 k + 1
                          k = 0
(%i6) 
Run Example
gensumnum:1;
(%o1)                                  1
(%i2) intosum((1/(2*k)^s + (1/(2*k+1)^s), k, 0, inf));
(%o2)                                 inf
(%i3) 
Run Example
sumexpand: true;
(%o1)                                true
(%i2) x : (-a/2 + b/2 + c/2)*(a/2 - b/2 + c/2)*(a/2 + b/2 - c/2);
                        c   b   a   c   b   a   c   b   a
(%o2)                (- - + - + -) (- - - + -) (- + - - -)
                        2   2   2   2   2   2   2   2   2
(%i3) intosum(x);
                        c   b   a   c   b   a   c   b   a
(%o3)                (- - + - + -) (- - - + -) (- + - - -)
                        2   2   2   2   2   2   2   2   2
(%i4) 

Related Help

Help for Intosum