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Analytic continuation of the Appell function F 1 and integration of the associated system of equations in the logarithmic case. The resulting formulas make it possible to efficiently calculate the Appell function in the entire range of its

Design of equi-strength annular disks made of functionally graded materialsThis research proposes a robust method for designing functionally graded disks subject to internal

Learnable Global Layerwise Nonlinearities Without Activation Functions functions such as Rectifi ed Linear Unit (ReLU), Sigmoid, and Hyperbolic Tangent (Tanh). In this work, we

Vitamin D: Mechanism of action and biological effects in uterine fibroidsbiological phenomena and functions concerning the entire organism

Implicit function theorem without a priori assumptions about normality regularity condition, is satisfied, an implicit function theorem is obtained for this equation. This result

A study of the excess gibbs energy of ribonuclease a - water mixtures applied to characterize the hydration dependencies of the excess thermodynamic functions of binary protein

An analog of the Hahn-Banach theorem for commutative semigroups commutative semigroup to functions defined on the entire semigroup is obtained.

Analysis of hydration of ovalbumin by densitometry of ovalbumin with water were obtained as a function of composition at 25 °C. The hydration process

The functions of slang in the work of Faïza GuèneThis article analyzes the slang linguistic elements of Faïza Guène's entire fictional work

On functional equations related to a dihedral group to the moment problem for entire functions of exponential type and for evaluation of biorthogonally dual systems

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