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If a squared variable (x^2) occurs in the problem without the use of the variable x itself, then (x^2) can be used without a linearization and x can be calculated a posteriori.
Our usage of the term aligns best with Garcia and Infante's (2012) characterization of gestures produced when solving calculus problems, as 'moving the hands to describe the action that occurs in the problem or movements made to represent mathematical concepts' (p. 290).
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For efficiently treating quasi-periodic and multiscale problems numerically, it is here proposed to change the number of space dimensions which is then multiplied by the number of different (incommensurable or widely separated) scales occurring in the problem.
For results that exhibited disagreement, over a third occurred in the communication domain (n = 25) and nearly a quarter occurred in the problem solving domain (n = 18).
Thus, the results presented in this paper would at once yield a very large number of results involving a large variety of special functions occurring in the problems of science, engineering, and mathematical physics etc.
If a deficiency of hydrogen atoms occurs in the molecule, the problem sometimes becomes unsolvable without the introduction of particular fragments.
This type of problem occurs in the study of optimal compensation problems involving competing principals.
Depending on the ignition process, forward and opposed modes of a combustion wave are found in the first problem while they simultaneously occurred in the second problem.
Since no reaction is occurring in this problem, the right-hand side of Eq. (2) can be neglected.
Before changing the settings in Outlook, make sure that your Internet connection is good and the problem only occurs in the email client program.
The well-posedness of this problem occurs in the studying of equations with VMO coefficients.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com