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Conventions, where there is a choice between different possibilities, only become involved at a further step of the mathematical construction where the properties of the transformation group are studied and decisions are made concerning distance (a metric).
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But if a certain mathematical construction can be constructed out of another one, this is a purely mathematical fact, and as such independent of logic.
This awkward situation may be avoided by means of a mathematical construction called a vector.
Nonetheless, it is based on an underlying mathematical construction.
Brentano regards continuity as something given in perception, primordial in nature, rather than a mathematical construction.
The first correct mathematical construction of a Markov process with continuous trajectories was given by N. WIENER in 1923.
We now proceed to a mathematical construction of the process X ( t ).
Next section gives a mathematical construction of the studied stochastic process X ( t ).
Using "parallel construction," where information came from is hidden.
Logic therefore is descriptive but not creative: by the use of logic, one will never obtain mathematical truths that are not obtainable by a direct mathematical construction (Brouwer 1949C, 1243).
In the following seven subsections, we present a detailed description of mathematical construction for each subsystem in a mouse hepatic inflammatory response during SDMM development.
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CEO of Professional Science Editing for Scientists @ prosciediting.com