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As a result, the integral operator for the 3-D layered media can be efficiently written as a sum of 2-D Hankel cylindrical integral operators, and the latter can be calculated by either a tree-code or a 2-D wideband fast multipole method in a fast manner.
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Abaza is written as well as spoken.
This is written as, Note.
As our families grew, that became more and more difficult to do efficiently and [it was hard] to be able to write as much as we hoped we would.
This can be equivalently written as a standard linear program, which can be "efficiently" solved by the interior-point method [19].
The maximization in Algorithm 1 (line 3) and in the bisection method (Algorithm 2, line 8) can be written as standard waterfilling problems, which can be efficiently approximated or solved exactly (see e.g.[40]).[40]
The problem of nonshared selection rules is equivalent to writing in memory with defective cells and can be efficiently approached using sparse linear codes, known as LT codes.
Further, can be written as.
Residues can be written as.
can be written as (25).
In SVMs, because all computations on the input data are written as inner products, a kernel function is typically used to efficiently compute inner products in a high-dimensional space.
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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