Proceedings of the Steklov Institute of MathematicsGaifullin, A.A.: Embedded flexible spherical cross-polytopes with nonconstant volumes. Proc. Steklov Inst. Math. 288, 56-80 (2015)Gaifullin A. A., "Embedded fl
Constructing a surrogate for high-fidelity quantum-state-specific chemistry models to describe non-equilibrium phenomena is not a simple task as they rely on the solution of an overwhelmingly large number of differential equations (order of 105)5. More importantly, the mathematical closure of these ...
Journal of Mathematical SciencesP. Maremonti, G. Starita, Nonstationary Stokes equations in a half-space with continuous initial data, Zapiski Nauchnykh Seminarov POMI, 295,118- 167 (2003); translation: J. Math. Sci. (N.Y.), 127, 1886-1914 (2005)...
Another example is the vortex motion of fluids, and the electric field due to induction. This forces us to define a new concept, the curl of a vector. The curl is defined as a vector function whose component at a point in a particular direction is found by orienting an infinitesimal area...
As implied by the name, the term non-linear applies to systems whose output is not proportional to the strength of some stimulus (input). For example, the hysteresis loop describing the relationship between pressure and volume in the ventricles through the course of an entire cardiac cycle is ...
Before we state the main results, we recall the regularity and positivity of the solutions (eigenfunctions) for short.Remark 1.3We recall the regularity of our solutions in short (refer to [5, Appendix A Regurality] for the details). Due to the standard Moser’s iteration methods, any ...
In the theory of the field of reals , the unit circle is an example of a definable set, but so is the the complement of the circle, and the interval : Due to the unlimited use of constants, any finite subset of a power of any structure is, by our conventions, definable in th...
Mispronunciation detection and diagnosis (MDD) is a core component of computer-assisted pronunciation training (CAPT), which aims to provide opportunities for second language learners (L2) to learn and practice their speaking skills. Arabic is one of the most widespread languages in the world, with...
You should then either reduce the number of elements in your model and rerun the analysis or solve the model on a computer with more memory. Finally, you may encounter a fatal error that crashes the program. For example, a fatal error will occur if an analysis completely fills the hard ...
Characteristic polynomials of random matrices play an important role in both mathematical and physical applications of random matrix theory. For example, they have been successfully used to model statistical properties of the Riemann zeta-function or other L-functions [42,43]. This motivated several ...