AngouriMath
SplitProduct(AngouriMath.Entity)
Method (no overloads)
Summary
One product broken into a numerator and a denominator, with every reciprocal factor
taken into the latter. A product with no reciprocal factor in it comes back with a
denominator of 1, which is what makes this usable term by term below.
taken into the latter. A product with no reciprocal factor in it comes back with a
denominator of 1, which is what makes this usable term by term below.
Remarks
A power of a quotient is one of these too, and is how a squared cosecant arrives:
csc(x) is written 1/sin(x) in front of the descent, so csc(x)^2 reaches here as
(1/sin(x))^2 with its denominator inside the power rather than at the top. Read as
a factor with no denominator, csc(x)^2 - 1/x^2 at 0 was never put over a common
denominator and came back unevaluated where it is 1/3.
square root of 1/(-1) is i and the quotient of the two square roots is -i, and a
limit taken of the second is a limit of a different function.
csc(x) is written 1/sin(x) in front of the descent, so csc(x)^2 reaches here as
(1/sin(x))^2 with its denominator inside the power rather than at the top. Read as
a factor with no denominator, csc(x)^2 - 1/x^2 at 0 was never put over a common
denominator and came back unevaluated where it is 1/3.
square root of 1/(-1) is i and the quotient of the two square roots is -i, and a
limit taken of the second is a limit of a different function.
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