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The Maxima on-line user's manual

Algebra Calculator

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Simpsum

-- Option variable: simpsum Default value: false

When simpsum is true, the result of a sum is simplified. This simplification may sometimes be able to produce a closed form. If simpsum is false or if the quoted form sum is used, the value is a sum noun form which is a representation of the sigma notation used in mathematics.

f:1/(1+x);
s(n,x):=integrate((-x)^n,x,0,1);
s(0,x);
s(1,x);
s(2,x);
s(3,x);
g3:sum((-x)^k,k,0,3);
g:sum((-x)^k,k,0,n-1),simpsum;
S3:integrate(g3,x,0,1);
fmg:f-g;
fmg:factor(fmg);

(%o1)                                true
(%i2) 

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simpsum-sqrt-sum-true

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T = [0,1,2];

sum(T(i), i, 1, 3), s...

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