Exact(50)
Given a weighted graph ((G, c)), where the weight (c u,v)) represents the strength of the synapses from neuron u to neuron v for all edges (uv in E).
Given a weighted string x and a cumulative weight threshold 1/ z∈ 0,1], any valid factor of x occurs in at least one extended factor.
Given a weighted string x and a cumulative weight threshold 1/ z∈ 0,1], any valid factor of x occurs in at most z ℓ (2 ℓ+1) extended factors of x, where ℓ = log z / log z z − 1.
Given a weighted string x and a cumulative weight threshold 1/ z∈ 0,1], any valid factor of x contains at most log z / log z z − 1 black positions. Consider a valid factor u of x containing ℓ black positions and no grey positions. Any letter at a black position has occurrence probability at most 1−1/ z.
Given a weighted string x and a cumulative weight threshold 1/ z∈ 0,1], any valid repetition in x occurs in at least one extended factor. By Lemma 2, any valid factor of x occurs in at least one extended factor. By the definition of valid repetitions, any valid repetition is a valid factor.
Given a weighted complete bipartite graph, where edge has weight, find a matching from to with maximum weight.
Similar(10)
This gives a weighted value, based on production and draft slot, that measures precisely what we want to know.The results aren't surprising -- nor should they be.
So we gave a weighted value of RSS_mode to valid time.
The following theorem gives a weighted generalization of the majorization theorem (see [3], [2], p.323).
The factors, luminance, contrast, and structure, give a weighted adjustment to the similarity measure that looks at the intensity (luminance), variance (contrast), and cross-correlation (structure) between a given pixel and those that surround it versus the reference image.
In 1947, Fuchs gave a weighted generalization of the well-known majorization theorem for convex functions and two sequences monotonic in the same sense [5], (see also [[3], p. 323], [[1], p. 580]).
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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