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Subjects / keywords: number theory, discrete mathematics, arithmetic functions, combinatorics, diophantine equations, fibonacci; Science: Mathematics

Subjects / keywords: WEYL, HERMANN; UNIVERSITY PRESS; 512.74 W548a

Photonics deals with the applications of light in science and technology including a vast number of different topics from engineering to telecommunications, to medicine, computing, metrology, and on and on. The book cove...

This work develops an open source library in Python with applications in academic settings, for educational purposes. It can also be used for general software development. It allows users to implement Number Theory appli...

blic Keys Schemes usually generate two pairs of keys that bear some mathematical relation-usually, a relation of the field known as Number Theory. Identifying a key from another that is given is a problem of great diffic...

We develop the theory of dynamical superradiance – the collective exchange of energy between an ensemble of initially excited emitters and a single-mode cavity – for organic materials where electronic states are coup...

Raman scattering investigations based on density functional theory (DFT) calculations were performed to explore the vibrational modes of wurtzite structured CdS nanoparticles (NPs). The calculations were performed to obt...

Abstract The increasing penetration of photovoltaic distributed generation (PV-DG) in Radial Distribution Systems (RDSs) plays a vital role in achieving sustainable energy transition objectives; however, the inherent unc...

This paper presents an efficient method for solving fully fuzzy linear fractional programming (FFLFP) problems using pentagonal fuzzy numbers (PFNs) and the decomposition method. In real-world decision-making, uncertaint...

Accurate evaluation of early childhood competencies is essential for favoring optimal development, as the first years of life form the foundations for later learning and development. Nonetheless, there are still certain ...

It was aimed to evaluate a variety of conventional and emerging CO2-selective adsorbents, considering their use in a five-step VSA (Vacuum Swing Adsorption) system for flue gas capture. In most works, porous materials sy...

Abstract Based on the existing results, this paper systematically reviews and extends the calculus theory of S $\mathcal{S}$ -linearly correlated fuzzy number-valued functions on time scales. As an application of the the...

BACKGROUND: Theory of mind (ToM) is a field of social cognition that deals with the individual’s cognitive ability to interpret or infer the mental states of others based on previous knowledge. Recently, research h...

BackgroundA growing number of couples worldwide are seeking in vitro fertilization-embryo transfer (IVF-ET) to achieve pregnancy. However, failed IVF-ET treatment inflicts multidimensional stress on patients, involving i...

The concept of individuality in quantum mechanics shows radical differences from the concept of individuality in classical physics, as E. Schrödinger pointed out in the early steps of the theory. Regarding this fact, so...

Effective-medium approaches, such as the coherent potential approximation, are commonly used to describe the rigidity transition of disordered elastic networks. While successful in capturing the universal critical behavi...

A contemporary theory holds that mathematical concepts are stored in the long-term memory of mathematicians. This perspective also proposes that the brain has evolved to possess basic “representations” of space, time...

We outline and interpret a recently developed theory of impedance matching or reflectionless excitation of arbitrary finite photonic structures in any dimension. The theory includes both the case of guided wave and free-...

We present a theory that explains the resonance effect of the vibrational strong coupling (VSC) modified reaction rate constant at the normal incidence of a Fabry–Pérot (FP) cavity. This analytic theory is based on a ...

In the DEM simulation of mechanical response of methane hydrate or weathered rock, the real shape and size of inter-particle bond significantly affect the macro-mechanical properties of the materials, therefore it is nec...

We report the design of a high-throughput gradient hyperbolic lenslet built with real-life materials and capable of focusing a beam into a deep sub-wavelength spot of λ/23. This efficient design is achieved through high...

Plasmonic nanoparticles provide an ideal environment for the enhancement of fluorescent emission. On the one hand, they locally amplify the electromagnetic fields, increasing the emitter excitation rate, and on the other...

At first glance, the work of Jiři Levy shows many similarities with the thoughts and concepts of the (neo)hermeneutic approach within Translation Studies (TS). This observation is shared by many and it became part of th...