Results 21 to 30 of about 1,917,845 (222)
Applied Philosophy in Mathematics [PDF]
We show a possibility to apply certain philosophical concepts to the analysis of concrete mathematical structures. Such application gives a clear justification of topological and geometric properties of considered mathematical objects.
arxiv
Global Regularity for the Viscous Boussinesq Equations [PDF]
The global regularity for the viscous Boussinesq equations is proved.
arxiv +1 more source
Lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.
arxiv
Wick rotation for D-modules [PDF]
We extend the classical Wick rotation to D-modules and higher codimensional submanifolds.
arxiv +1 more source
A mathematical method for electromyography analysis of muscle functions during yogasana
For the past few decades, the number of people practicing yoga is increasing in number. Yogasanas need smooth body movements in the process of attaining defined postures that the person must hold on to activate specific muscles of the body related to that asana.
Ashitha Besagarahalli Ramesh+4 more
openaire +4 more sources
Mathematical Analysis of The Hash Functions as a Cryptographic Tools for Blockchain
Blockchain is one of the most interestingly developing technologies today, with its applications in many fields from smart contracts to cryptocurrencies. In this respect, blockchain is a hot modern topic nowadays. This study presents a mathematical analysis of cryptographic hash functions, which are one of the most important elements for understanding ...
openaire +2 more sources
Qualitative analysis of differential equations [PDF]
Here I introduce basic methods of qualitative analysis of differential equations used in mathematical biology for people with minimal mathematical background.
arxiv
A Glimpse at Mathematical Diffraction Theory [PDF]
Mathematical diffraction theory is concerned with the analysis of the diffraction measure of a translation bounded complex measure $\omega$. It emerges as the Fourier transform of the autocorrelation measure of $\omega$. The mathematically rigorous approach has produced a number of interesting results in the context of perfect and random systems, some ...
arxiv +1 more source
Connecting beams and continua: variational basis and mathematical analysis [PDF]
We present a new variational principle for linking models of beams and deformable solids, providing also its mathematical analysis. Despite the apparent differences between the two types of governing equations, it will be shown that the equilibrium of systems combining beams and solids can be obtained from a joint constrained variational principle and ...
arxiv
Quantum Ergodicity and Mixing [PDF]
This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.
arxiv