Results 111 to 120 of about 983 (285)
GENERALIZATION OF EULER’S FORMULA
Grail of ScienceFactorial powers allow generalizing various mathematical studies. The publication proposes new functions and which are analogs of classical functions and The functions and are constructed using power series and factorial powers. Graphs of these functions are plotted, some properties and formulas connecting them are established.
Oleksandr Makhnei, Roman Zatorsky
openaire +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
, 2022 Tema mog završnog rada su politopi i Eulerova formula. U uvodu dajemo kratki povijesni pregled razvoja teorije politopa te motivaciju o čemu će biti riječ u kasnijim poglavljima.
Hrman, Martina
core
Ianna Journal of Interdisciplinary StudiesBackground: In modern education, there is a growing need to adopt a competency-based approach that supports the integration of knowledge across disciplines.
Liudmyla Hetmanenko
doaj
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
An elementary proof of Euler formula using Cauchy's method
, 2020 The use of Cauchy's method to prove Euler's well-known formula is an object of many controversies. The purpose of this paper is to prove that Cauchy's method applies for convex polyhedra and not only for them, but also for surfaces such as the torus, the
Thủy, Nguyn̂̃n Thị Bích [UNESP] +3 more
core +2 more sources
Numerical simulations of the spread from the mean of the SLE and multiple SLE dynamics
Research in StatisticsThe Schramm-Loewner Evolution (SLE) describes a family of fractal curves that arise in the study of the scaling limits of many planar Statistical Physics models.
Phillip Kim, Vlad Margarint
doaj +1 more source
Vibration Attenuation of Cantilever Beam Using Electromagnetic Delayed Feedback
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This study presents a combined analytical and numerical investigation of a single‐input single‐output delayed feedback controller designed to suppress vibrations in a cantilever beam actuated by an electromagnet positioned beneath its free end. An analytical model was developed using the linearized equation of motion for a transversely excited
Mohammad Alabdullah, Khaled Alhazza
wiley +1 more source
Weighted sum formula for multiple zeta values
, 2009 The sum formula is a basic identity of multiple zeta values that expresses a Riemann zeta value as a homogeneous sum of multiple zeta values of a given dimension. This formula was already known to Euler in the dimension two case, conjectured in the early
Guo, Li, Xie, B., Xie, Bingyong, Guo, L.
core +2 more sources
The k-Beta Logarithmic Function: Theory, Fractional Derivative, and Spectral Numerical Method
MathematicsA new generalization of the Logarithmic mean function and Euler’s Beta k-Logarithm function is proposed using the Mittag–Leffler k-function. We study their analytical properties, including functional relations, symmetry relation, inequalities, summation ...
Karima M. Oraby +3 more
doaj +1 more source