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461por Hari, Pertti, Aakala, Tuomas, Aalto, Juho, Bäck, Jaana, Hollmén, Jaakko, Jõgiste, Kalev, Koupaei, Kourosh Kabiri, Kähkönen, Mika A., Korpela, Mikko, Kulmala, Liisa, Nikinmaa, Eero, Pumpanen, Jukka, Salkinoja-Salonen, Mirja, Schiestl-Aalto, Pauliina, Simojoki, Asko, Havimo, Mikko“…Isaac Newton's approach to developing theories in his book Principia Mathematica proceeds in four steps. First, he defines various concepts, second, he formulates axioms utilising the concepts, third, he mathematically analyses the behaviour of the system defined by the concepts and axioms obtaining predictions and fourth, he tests the predictions with measurements. …”
Publicado 2017
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462por Kratzer, Markus, Lasnik, Michael, Röhrig, Sören, Teichert, Christian, Deluca, Marco“…A measurement procedure and a computer program based on the software Mathematica have been developed to automatically evaluate the vector-PFM data for reconstructing the domain orientation function. …”
Publicado 2018
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463“…For the examples considered here, the resulting predictions are more accurate than those provided by the standard MS technique. Wolfram Mathematica scripts implementing these methods have been provided to be used in conjunction with this paper to illustrate their practicality. …”
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464“…Moreover, the local and global stability analysis of disease-free and endemic equilibrium is done using Lyapunov function. Mathematica 12 software is used to find out the solutions and graphical representations. …”
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465por Balog, Marta, Ivić, Vedrana, Scitovski, Rudolf, Labak, Irena, Szűcs, Kálmán Ferenc, Gaspar, Robert, Vári, Sándor G., Heffer, Marija“…The parameters were identified by using Mathematica-module NonlinearModelFit [] for experimentally obtained data. …”
Publicado 2020
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466por Ricker, Martin, Gutiérrez-García, Genaro, Juárez-Guerrero, David, Evans, Margaret E. K.“…A computer code in Mathematica is provided, with sample input files, as supporting information. …”
Publicado 2020
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467por Zenil, Hector, Hernández-Orozco, Santiago, Kiani, Narsis A., Soler-Toscano, Fernando, Rueda-Toicen, Antonio, Tegnér, Jesper“…We also release implementations of the methods in most major programming languages—Wolfram Language (Mathematica), Matlab, R, Perl, Python, Pascal, C++, and Haskell—and an online algorithmic complexity calculator.…”
Publicado 2018
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468“…These mathematical equations are solved directly by using Mathematica software. The graphical outcomes are added to discuss the results in detail. …”
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469por Khan, Muhammad Sohail, Mei, Sun, Shabnam, Fernandez-Gamiz, Unai, Noeiaghdam, Samad, Khan, Aamir“…For the numerical solution of nonlinear ODEs, a built-in function BVP4C was used in MATLAB, and the same problem was solved in MATHEMATICA by HAM. The result of the present problem related to the results obtained from the existing literature under certain conditions. …”
Publicado 2022
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470“…Three dimensional as well as two dimensional comparison presented for a cold bosonic atoms model solutions which are revealed diagrammatically for appropriate parameters by using Mathematica. This study will help physicists to predict some new hypothesis and theories in the field of mathematical physics.…”
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471“…By using computer programs (Mathematica and AutographiX), it is found that there exists only one pair of the modified Sombor equienergetic chemical graphs of an order of at most seven. …”
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472“…The sensor characteristics such as sensitivity, detection accuracy and figure of merit are simulated for each structure using the theory of matrix method in Wolfram Mathematica software. The simulation results show that the aluminum/lutetium oxide/graphene structure has the highest quality factor when the core diameter of the optical fiber is 940 µm. …”
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473“…Appendix C describes features of Maple™, Mathematica®, and Sage, as well as other systems that are most relevant to the text. …”
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474por Facchini, Alberto“…(Zentralblatt MATH) This excellent book on module and ring theory (…) contains three kind of topics: classical topics, (…) specialized topics, (…) the solutions to two famous problems, together with the presentation of a rare phenomenon. (Mathematica).…”
Publicado 1998
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475por Martzloff, Jean-Claude“…Joseph W. Dauben, Historica Mathematica 20, 1993.…”
Publicado 1997
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476“…Problems are collected at the end of each chapter; solutions to select problems are given at the end of the book. Mathematica®, Matlab™, and Xfig are used to illustrate selected concepts and results. …”
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477por Adams, William J“…-Wei-Ching Chang, Historica Mathematica, August, 1976 In the months since I wrote…I have read it from cover to cover at least once and perused it here and there a number of times. …”
Publicado 2009
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478“…This paper studies the impact of shape factor on a mass-based hybrid nanofluid model for Homann stagnation-point flow in porous media. The HAM-based Mathematica package BVPh 2.0 is suitable for determining approximate solutions of coupled nonlinear ordinary differential equations with boundary conditions. …”
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479“…The converted mathematical formulations are solved analytically via the Mathematica software. Analytical expressions for the dimensionless velocity profiles of fluid, temperature, concentration, pressure gradient, increase in pressure, heat transfer coefficient and shear stress of the blood are derived. …”
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480“…Using this technique, some applicable wave forms of solitons like bell type, kink type, singular kink, multiple kink, periodic wave, and many other types solution were accomplished, and we express our achieve solutions by 3D, contour, list point, and vector plots by using mathematical software such as MATHEMATICA to express the physical sketch much more clearly. …”
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