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After laying out the basic problem, Ibrahim waded into the detailed mathematical steps involved in randomly ordering a set of lottery applicants.
What followed was a detailed account of the mathematical steps by which Fuller, through his study of vectors, came to the conclusion that nature's geometry must be based on triangles.
A person would write his name along a five-line staff, and the linear pattern of his signature would be translated, by means of a series of mathematical steps, into musical compositions.
The determination of the smoothing spline, however, involves heavily mathematical steps, such as the solution of linear systems.
The four input RGB images are first converted into their indexed image formats and subsequently multiplexed into a single image through elementary mathematical steps prior to the encryption.
Built into things like CAT scan machines, telephones, videogames, cable TV boxes, smart bombs and DNA analyzers are complex formulas that dictate a result on the basis of a precise series of mathematical steps.
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However, the mathematical step from microscopic to macroscopic dynamics has proved elusive in all but a few special cases.
In this method, a mathematical step-by-step procedure is used to obtain the optimal valve position path with one switching and is trained by neural network, based on the back-propagation algorithm.
Heeding the mathematical step-reduction calculations of Schwartz, the Caltech stair-ologist, we dutifully devoured the 22 steps per flight two at a time, starting with the left foot, finishing on the landing with a giant right, then pivoting body and left foot 180 degrees to the next flight.
A multiple probe single-subject research design (Horner & Baer, 1978) was used to evaluate the effectiveness of computer-based graphic organizers to solving mathematical one-step word problems.
This goal has traditionally been approached with experimental biotechnological methods, but it is becoming increasingly popular to precede the experimental phase by a mathematical modeling step that allows objective pre-screening of possible improvement strategies.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com