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The validity of the proposed formulation as well as the efficiency of the presented numerical techniques is demonstrated by a mathematical example.
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Snowdon offers a mathematical example in support of this claim.
A mathematical example was applied to evaluate this approach.
For example, a nuclear blast can be described by a mathematical model that incorporates such variables as heat, velocity, and radioactive emissions.
Economic losses are calculated by a mathematical model, and the margin for dispute is relatively small.
The proposed method was first verified by a mathematical benchmark example and a ten-bar truss design problem; and then it was applied to a more sophisticated design case of full scale vehicle structure for crashworthiness criteria.
A simple mathematical example is given by scattering by compactly supported potentials in dimension one, see Fig. 4 for an example of such potential.
A simple mathematical example concerns the number of holes in a 3-dimensional Euclidean surface.
Fig. 1 The flowchart of the proposed algorithm Through mathematical Example (1), the step-by-step procedures of the proposed algorithm are described and, at each step, the details of the identification algorithm are stated.
In "Division by Zero", for example, we feel painful empathy and pity for the main character only because and insofar as we have understood the crisis in her life occasioned by a mathematical paradox.
For index funds, whose composition is determined by a mathematical formula, that causes no problems.
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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