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It gives a generalized geometrical approach for modeling braided structures with arbitrary floating length and filaments in the yarn.
Using m>1 gives a generalized random telegraph process; such processes may be useful in semiconductor models.
Equation (7) gives a generalized equation for determining and, which are probabilities of successful reception of packets by relay and destination (which are active nodes).
The study also gives a generalized and consistent definition for the free energy, which can be used for modeling growth of damage.
This yields an alternative proof that there is no non-trivial derivation on Ck([0,1]) and gives a generalized existence theorem for polarized prime ideals of C∞([0,1], C).
It gives a generalized algorithm which makes it possible to mechanize program constructing for the purpose of determining acoustic natural frequencies of complex structures, and it illustrates the use of personal computers besides the actual numerical calculations for automatic program-writing as well.
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We first give a generalized Wirtinger's inequality.
As an application, we give a generalized Carleman-type inequality.
Now, we give a generalized Slater type constraint qualification.
For convenience, we give a generalized form of Theorem 1.1.
Bernardi [4] gave a generalized operator and studied its properties.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com