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Additive

-- Keyword: additive If declare(f,additive) has been executed, then:

(1) If f is univariate, whenever the simplifier encounters f applied to a sum, f will be distributed over that sum. I.e. f(y+x) will simplify to f(y)+f(x).

(2) If f is a function of 2 or more arguments, additivity is defined as additivity in the first argument to f, as in the case of sum or integrate, i.e. f(h(x)+g(x),x) will simplify to f(h(x),x)+f(g(x),x). This simplification does not occur when f is applied to expressions of the form sum(x[i],i,lower-limit,upper-limit).

(%o1)                                true
(%i2) 

Related Examples

additive-cos-declare-sin

syst:(F2*eta3*l3_in+m...

declare (F2, additive);

Calculate

additive-declare-diff-solve

eq1:(900-4*z)^0.5 = 2...

es: x2^0.5 = 2*z^0.5;

eI: x2 = 1000 - 4*z -...

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additive-cos-declare-sin

syst:(F2*eta3*l3_in+m...

declare (F2, additive);

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additive-declare-ev-kill-nouns-ratsimp

kill(all);

declare(integrate,add...

exx: 'integrate( f(x)...

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additive-cos-declare-sin

syst:(F2*eta3*l3_in+m...

declare (F2, additive);

F3_out: ( (F2*l3_in) ...

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additive-declare-inf-simpsum

declare(sum,additive);

sum((-1)^n*(x^(2*n)/(...

Calculate

additive-declare-simpsum

declare(sum,additive);

sum((-1)^n*(x^(2*n)/(...

Calculate

additive-declare-inf-simpsum

declare(sum,additive);

sum(1/n^k,n,1,inf),si...

zeta(k);

Calculate

additive-cos-declare-sin

syst:(F2*eta3*l3_in+m...

declare (F2, additive);

F3_out: ( F2*l3_in - ...

Calculate

additive-declare-inf-plot2d-simpsum
plot2d([zeta(x)],[x,1,5]);

declare(sum,additive);

sum(1/n^k,n,1,inf),si...

plot2d([zeta(x)],[x,1...

Calculate