The Derivation of the Riemann Analytic Continuation Formula from the Euler’s Quadratic Equation
The analysis of the derivation of the Riemann Analytic Continuation Formula from Euler’s Quadratic Equation is presented in this paper. The connections between the roots of Euler’s quadratic equation and the Analytic Continuation Formula of the Riemann ...
Opeyemi O. Enoch +2 more
doaj +1 more source
Decomposition of Algebraic Functions [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kozen, Dexter +2 more
openaire +2 more sources
Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System
A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu +15 more
wiley +1 more source
Extended algebraic immunity of symmetric Boolean function
Boolean functions with optimal algebraic immunity play an important role in stream ciphers.Based on the univariate polynomial representation of Boolean functions,a construction of Boolean functions with maximum extended algebraic immunity (EAI) is ...
Gao-fei WU +3 more
doaj +2 more sources
Algebraic Properties of Generalized Trigonometric Function Transforms
The generalized trigonometric functions called Ateb-functions are considered. On this basis, a generalization of the Fourier transform is constructed and called the Ateb-transform.
Ivanna Dronyuk +2 more
doaj +1 more source
Constructing Higher Nonlinear Odd-Variable RSBFs With Optimal AI and Almost Optimal FAI
Rotation symmetric Boolean functions (RSBFs) are nowadays studied a lot because of its easy operations and good performance in cryptosystem. This paper constructs a new class of odd-variable RSBFs with optimal algebraic immunity (AI). The nonlinearity of
Yindong Chen +5 more
doaj +1 more source
Modular forms, Schwarzian conditions, and symmetries of differential equations in physics
We give examples of infinite order rational transformations that leave linear differential equations covariant. These examples are non-trivial yet simple enough illustrations of exact representations of the renormalization group.
Abdelaziz, Y., Maillard, J. -M.
core +3 more sources
A Perspective on Interactive Theorem Provers in Physics
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang +7 more
wiley +1 more source
A Lower Bound of Fast Algebraic Immunity of a Class of 1-Resilient Boolean Functions
Boolean functions should possess high fast algebraic immunity when used in stream ciphers in order to stand up to fast algebraic attacks. However, in previous research, the fast algebraic immunity of Boolean functions was usually calculated by the ...
Yindong Chen +3 more
doaj +1 more source

