AngouriMath

Symbolics for .NET


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AngouriMath

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Summationf

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Description

Summary

A summation over a bound variable: sum(f, i, from, to) is
f(from) + … + f(to).

Remarks

A CalculusOperator rather than a Sumf of many terms,
because the bounds may be symbolic — sum(i, i, 1, n) has no finite expansion
and is still a well-formed expression. Where they are concrete integers it expands,
which is what makes the common case useful without the general case being wrong.
 The index is bound: it is the summation index, not a free variable of
the expression, so substituting it from outside must not reach inside. That is the
property ConditionalSet already has and the one
#878 was about
getting wrong.
#248

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