Simulation of the spatial distribution of scattered light under illumination of a resonant diffraction grating with structured light by S.N. Khonina, Yu.V. Kapitonov

“…In more detail is discussed the spatial spectrum of binary amplitude gratings, including the diffraction patterns in the far field and in the focal plane and while taking into account variations in the fill-factor. …”
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Robust Density of Periodic Orbits for Skew Products with High Dimensional Fiber by Fatemeh Helen Ghane, Mahboubeh Nazari, Mohsen Saleh, Zahra Shabani

“…Moreover, robust properties of invariant sets of diffeomorphisms, including the coexistence of dense sets of periodic points with different indices, are obtained.…”
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Personal culture as a goal of continuing developmental education: Philosophical and methodological substantiation by N. L. Hudyakova, A. B. Nevelev, V. S. Neveleva

“…It allows us to determine the invariant structure of educational goals, which can be correlated with the requirements for educational outcomes described through competences. …”
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Color Confinement, Hadron Dynamics, and Hadron Spectroscopy from Light-Front Holography and Superconformal Algebra by Stanley J. Brodsky

“…I will also discuss the remarkable features of the Poincaré invariant, causal vacuum defined by light-front quantization and its impact on the interpretation of the cosmological constant. …”
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Los braquiópodos fósiles cubanos (Brachiopoda: Terebratulida) del Museo Nacional de Historia Natural de Cuba by Samuel Hernández-Borroto

“…De igual forma, el hallazgo del ejemplar del género Terebratulina d`Orbigny, 1847, representa el primer registro para el Cretácico de la provincia de Pinar del Río.…”
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Attractors of semigroups associated with nonlinear systems for diffusive phase separation by Nobuyuki Kenmochi

“…We consider a model for diffusive phase transitions, for instance, the component separation in a binary mixture. Our model is described by two functions, the absolutete temperature θ:=θ(t,x) and the order parameter w:=w(t,x), which are governed by a system of two nonlinear parabolic PDEs. …”
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Primary decomposition of torsion R[X]-modules by William A. Adkins

“…This is a generalization of the classical fact from linear algebra that a diagonalizable linear transformation on a vector space restricts to a diagonalizable linear transformation of any invariant subspace. Additionally, primary decompositions are considered under direct sums and tensor product.…”
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Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of Distributions by Sanku Dey, Sudhansu S. Maiti

“…The Bayes estimators of the shape parameter of exponentiated family of distributions have been derived by considering extension of Jeffreys' noninformative as well as conjugate priors under different scale-invariant loss functions, namely, weighted quadratic loss function, squared-log error loss function and general entropy loss function. …”
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The Bayesian Contrast of Clinical Events and the Evidence Quantitative Method in Chronic Disease Research by Cristian Antony Ramos Vera

“…The application of this Bayesian method is an alternative to evaluate comparative hypotheses of investigations with binary data, effective for case-control studies. The statistical application using the Bayesian test can be very useful in other research related to COVID-19 that can methodologically reinforce future investigations of chronic diseases of greater interest to Finlay magazine.…”
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Bell Polynomials Approach Applied to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation by Wen-guang Cheng, Biao Li, Yong Chen

“…Finally, the infinite conservation laws of this equation are obtained by decoupling binary Bell polynomials. All conserved densities and fluxes are illustrated with explicit recursion formulae.…”
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Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift by Gemechis File, Y. N. Reddy

“…Then, Simpson’s rule and linear interpolation are employed to get the three-term recurrence relation which is solved easily by discrete invariant imbedding algorithm. The method is demonstrated by implementing it on several linear and nonlinear model examples by taking various values for the delay parameter and the perturbation parameter .…”
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Computing Topological Indices and Polynomials of the Rhenium Trioxide by Shahid Imran, Muhammad Mudassar Raza, Niat Nigar, Syed Ajaz K. Kirmani, Fikre Bogale Petros

“…In the study of mathematical chemistry and chemical graph theory, a topological index, also known as a connectivity index, is the arithmetical framework of a graph that specifies its topology and also graph invariant. These topological indices are used to model quantitative structure relationships QSARs, which are connections between the work of biological or other molecular structures and the chemical structures. …”
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Some Results on Equivalence Groups by J. C. Ndogmo

“…A result on the determination of the finite transformations of the infinitesimal generator of the larger group, which is useful for the determination of the invariant functions of the differential equation, is also given. …”
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Global Stability and Hopf Bifurcation of a Predator-Prey Model with Time Delay and Stage Structure by Lingshu Wang, Guanghui Feng

“…By using Lyapunov functions and the LaSalle invariant principle, the global stability of each of the feasible equilibria of the model is discussed. …”
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ON THE FORM OF KNOWLEDGE IN EDUCATION: REIFICATION AND SYMBOLIC VIOLENCE by D. KLUS-STANSKA

“…This article deals with the problem of educational changes. Education invariance is related to inertia of its forms and self-reproduction of vested teaching practices, but first of all – to the current epistemological regime in education. …”
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Stability and Bifurcation Analysis on an Ecoepidemiological Model with Stage Structure and Time Delay by Lingshu Wang, Guanghui Feng

“…By means of appropriate Lyapunov functions and LaSalle’s invariance principle, sufficient conditions are obtained for the global stability of the semitrivial boundary equilibria. …”
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Ekpyrotic Nongaussianity: A Review by Jean-Luc Lehners

“…This ekpyrotic phase also manages to produce a nearly scale-invariant spectrum of scalar density fluctuations but, crucially, with significant nongaussian corrections. …”
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Commutants of the Pommiez operator by Ivan H. Dimovski, Valentin Z. Hristov

“…The main result is a representation formula of the commutant of the Pommiez operator in an arbitrary invariant hyperplane of ℋ(G). It uses an explicit convolution product for an arbitrary right inverse operator of Δ or of a perturbation Δ−λI of it. …”
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The influence of cupric ions on shape of potentiodynamic curves obtained on 18 K gold by Rajčić-Vujasinović Mirjana, Trujić V., Stević Zoran, Šaćirbegović S.

“…In this work investigation were performed for pure gold, and pure silver and copper as alloying metals, then for binary alloys Au-Ag and Au-Cu containing gold as in 18 k gold (i.e. 75 % Au) and Ag-Cu with mass ratio 1:1 and, finally, for three component 18 k gold. …”
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Spectroscopy of z=0 Lifshitz Black Hole by Gulnihal Tokgoz, Izzet Sakalli

“…Based on the exact solution to the near-horizon Schrödinger-like equation (SLE) of the massive scalar waves, we computed the quasi-normal modes of the Z0LBH via employing the adiabatic invariant quantity for the Z0LBH. This study shows that the entropy and area spectra of the Z0LBH are equally spaced.…”
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