AngouriMath
TryWriteAPairOfLinearsOverARadicand(AngouriMath.Entity,AngouriMath.Entity.Variable,System.Collections.Generic.List{AngouriMath.Entity},AngouriMath.Entity.Variable,AngouriMath.Entity@,AngouriMath.Entity@)
Method (no overloads)
Summary
Two linear factors whose product is a constant multiple of a radicand a logarithm holds,
written as that radicand: `d + i c d x` and `f - i c f x` beside `arsinh(c x)`, whose
product is `d f (1 + c^2 x^2)`. `L1^p L2^q` is `L1^(p - q) L1^q L2^q` where `p - q` is
whole, and `L1^q L2^q` is `lambda^q M^q` for a whole `q` and `K^k M^(k/2)` for
`q = k/2`, with `K = sqrt(L1) sqrt(L2)/sqrt(M)` constant wherever it is defined -- the
same factor the single base is written with. Rubi's 7.1.4 states seventy-two of its
rows this way; `(d + i c d x)^(5/2) sqrt(f - i c f x) (a + b arsinh(c x))` ran past
seventy seconds where the same thing over `1 + c^2 x^2` takes two thirds of one.
written as that radicand: `d + i c d x` and `f - i c f x` beside `arsinh(c x)`, whose
product is `d f (1 + c^2 x^2)`. `L1^p L2^q` is `L1^(p - q) L1^q L2^q` where `p - q` is
whole, and `L1^q L2^q` is `lambda^q M^q` for a whole `q` and `K^k M^(k/2)` for
`q = k/2`, with `K = sqrt(L1) sqrt(L2)/sqrt(M)` constant wherever it is defined -- the
same factor the single base is written with. Rubi's 7.1.4 states seventy-two of its
rows this way; `(d + i c d x)^(5/2) sqrt(f - i c f x) (a + b arsinh(c x))` ran past
seventy seconds where the same thing over `1 + c^2 x^2` takes two thirds of one.
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