AngouriMath
CombinedAsAQuotient(System.Collections.Generic.List{AngouriMath.Entity},System.Collections.Generic.Dictionary{AngouriMath.Entity,System.Int32},System.Collections.Generic.List{System.Collections.Generic.List{System.Int32}},AngouriMath.Entity.Variable)
Method (no overloads)
Summary
The square roots with the bases bases , those with a positive
exponent inhalfExponents above the bar and the others below,
written as one square root of the quotient of their bases, where that is exact and
the quotient cancels to a polynomial: the root of that polynomial, and the rational
function the cancellation left beside it;null otherwise.
exponent in
written as one square root of the quotient of their bases, where that is exact and
the quotient cancels to a polynomial: the root of that polynomial, and the rational
function the cancellation left beside it;
Remarks
With a of the bases above negative and b of those below, the left side is
i^a (1/i)^b = i^(a - b) times the root of the moduli and the right is
i^((a + b) mod 2) times it, so the identity holds exactly where
a - b and (a + b) mod 2 agree modulo four -- one negative on each side,
or none, or two above beside one below. Asked on every interval between the real
roots, as the product rule asks its own question.
or none, or two above beside one below. Asked on every interval between the real
roots, as the product rule asks its own question.
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