Spectrum Analysis of Signal in Wolfram Mathematica System
The purpose of this paper is a spectrum analysis of signals of various nature, construction of the signal scalogram using Morlet wavelet, modification of the scalogram to obtain a more informative graphic representation of the signal.
M. A. Hundzina
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On Solving Problems of Classification of Graphic Images in the Wolfram Mathematica System
In recent years, problems solved through intelligent technologies have become widespread. Therefore, modern computer mathematics systems also include tools that allow solving problems through the use of artificial intelligence technologies. In particular,
Vladimir Kristalinskii, Sergei Chernyi
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Bridging Symbolic Computation and Economics: A Dynamic and Interactive Tool to Analyze the Price Elasticity of Supply [PDF]
It is not possible to achieve the objectives and skills of a program in economics, at the secondary and undergraduate levels, without resorting to graphic illustrations.
Jorge M. Andraz +2 more
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On Modeling Homing Missile Guidance Methods in the Wolfram Mathematica System
Modern air defense systems are very complex and high-tech products. To design them and analyze their capabilities, you need to use very complex mathematical models.
Vladimir Kristalinskii, Sergei Chernyi
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Nonlinear mixed effects (NLME) modeling is a powerful tool to analyze timeseries data from several individual entities in an experiment. In this paper, we give a brief overview of a package for NLME modeling in Wolfram Mathematica entitled NLMEModeling, implementing the first-order conditional estimation method with sensitivity equation-based gradients
Jacob Leander +4 more
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Solving Mathematical Physics Problems in the Wolfram Mathematica System
Mathematical models of various processes are built on the base of partial differential equations, which are called equations of mathematical physics. The investigation of such an equation is a very difficult problem.
Vladimir Kristalinskii +1 more
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All-Optical Encryption and Decryption at 120 Gb/s Using Carrier Reservoir Semiconductor Optical Amplifier-Based Mach–Zehnder Interferometers [PDF]
Encryption and decryption are essential components in signal processing and optical communication systems, providing data confidentiality, integrity, and secure high-speed transmission.
Amer Kotb, Kyriakos E. Zoiros, Wei Chen
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Complex soliton wave patterns of Gross–Pitaevskii systems: application in quantum and optical engineering [PDF]
The purpose of this work is to explore precise solutions, particularly soliton solutions, by fractionally analyzing the multicomponent Gross–Pitaevskii problem, a basic nonlinear Schrödinger equation. Soliton solutions are essential for comprehending the
Muhammad Bilal +5 more
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Using the Mathematica package in teaching mathematical disciplines [PDF]
This article analyzes the capabilities of the Wolfram Mathematica computer system, examines the feasibility of using its tools in the study of mathematical disciplines. The authors propose and demonstrate by examples a methodology for building a training
Grigoriev-Golubev Vladimir +2 more
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Tonality analysis in Wolfram Mathematica 12 computer algebra system [PDF]
Abstract Sentiment analysis is a class of methods that are used to automatically determine the tonality of statements in the text. There are many solutions and technologies to define of text tonality at the moment and the choice depends on task.
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