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be two real matrices.
Let P = ( p i j ) n × n and Q = ( q i j ) n × n be two real matrices.
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Let A and B be two real symmetric matrices of order n.
Let A and B be two real symmetric matrices of size n.
Let P ∈ R m × m and Q ∈ R n × n be two real generalized reflection matrices, i.e., P T = P, P 2 = I m, Q T = Q, Q 2 = I n, I n denotes the n order identity matrix.
Let A = ( a i j ) and B = ( b i j ) be two real n × n matrices.
A ∈ R n × n and B ∈ R n × n are two known real matrices, f : R n × R + → R n and g : R n × R + → R n are two bounded nonlinear vector functions.
But if you're allowed to open the box, then you'll only need three real matrix multiplications instead of four because there's an identity that will describe the product of two complex matrices," Knuth explains.
Let Q2 x) and Q ̃ 2 ( x ) be two continuous two-by-two real symmetric matrix-valued functions defined on[0, π].
Let and be two sequence spaces and let be an infinite matrix of real numbers where.
Let, be real matrices of appropriate dimensions.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com