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In [ 27], an adapted reduction was presented which generalizes the problem definition to incorporate unmatched element costs and also runs in O(n m + m log m) time.
Numerous works study and suggest algorithms for the MCM problem, usually when no unmatched element costs are taken into account (see e.g., [ 30- 33]).
Since that paper is in Russian and since it considers neither unmatched element costs nor the cavity variants of MCM (see the following section), we prefer to explicitly adapt the Min-Cost Max-Flow approach to our needs, using some variation of the ideas of [ 29].
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Below, we define extended variants of the bipartite matching problem, in which the input groups may be ordered or unordered, and the score incorporates both standard element matching scoring terms, as well as penalties for unmatched elements.
Second, with the condition that the sequence of at least one transgenic element is known, the insert is de novo assembled with reads that are matched and unmatched with a DNA transgene sequence library containing frequently used transgenic elements.
This implies that if the two images are unrelated, then their local elements are unmatched.
Simulations, circuit model, and experimental results reveal more than x2 improvement in the achieved fiber displacement when piezo and fiber resonances are matched, as opposed to the unmatched (i.e., when piezo element length is varied approximately by ±20% from its optimal value) case.
"Maus" draws on a lot of Spiegelman's structural experiments and incorporates a number of subtle design elements, like having the shadow of a swastika fall almost undetectably across a page, but its great innovation -- unmatched and possibly unmatchable -- was in its combination of style and subject.
In still view, rivalry occurs due to the unmatched color of some corresponding image elements in the two eyes.
The set, by Carol Bailey, has the scrappy appeal of ingenuity in the face of a limited budget; the key elements are a dozen or so unmatched white doors and enormous blackboards plastered on the rear wall.
A minestrone is of course a soup of assorted vegetables; a polpettone is a meatloaf of different ingredients; accozzaglia suggests a certain mélange of elements drawn from hither and thither and generally unmatched, or incompatible.
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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