“…The majority of the simulations were performed in the Wolfram Mathematica environment, and the compact source code is provided as a substantial and integral part of the book.…”
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“…His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. …”
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“…Further, the flow evaluation is determined under two scientific assumptions: a finite Reynolds number and a long wavelength. Mathematica software is used to solve the numerical value of rheological equations. …”
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“…The comparative studies of the results obtained are made with MATHEMATICA solutions, as well as, with variational iteration method and homotopy perturbation method.…”
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“…The conic sampling method is then adapted and applied to solve a certain quadratic program, which compute a projection onto a polytope; the proposed method is shown to outperform the proprietary software Mathematica on large, sparse QP problems constructed from mass spectometry-based proteomics.…”
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“…Computational and numerical results for velocity profile, pressure gradient, and trapping under the effects of slip parameter, fluid behavior index, angle between the walls, and wave number are discussed with the help of Mathematica graphs. The present model is applicable to study the behavior of intestinal flow (chyme movement from small intestine to large intestine). …”
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“…In total, 8535 non-enantiomeric structures were produced by custom-made codes in Mathematica and Q-Chem quantum chemical package. Extracted geometric and energetic data as well as raw output files, codes and scripts associated with the data production are presented in the data repository.…”
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“…The reduced set of equations is solved by the homotopy analysis method implemented in Mathematica environment. The effects of the relevant parameters on velocity, temperature and concentration profiles were examined in detail. …”
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“…A geometrically non-linear model, implemented in an original program, written in the Mathematica environment, is used. The results confirm the feasibility of the active control of stiffness of tensegrity plate-like structures characterized by the presence of infinitesimal mechanisms. …”
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“…The solution of the nonlinear fundamental flow problem is figured out via convergent approach via Mathematica software. It is noted that this flow model is based on theoretical flow assumptions instead of any experimental data. …”
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“…The commercial simulation software, Mathematica is used for calculating the roots of the Bessel function. …”
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“…La Philosophiae Naturalis Principia Mathematica de Newton (1686), marquait-elle le début d'une révolution scientifique, ou était-elle la simple synthèse des idées d'un Kepler, Galilée ou Hooke? …”
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“…Methods have been developed toaccurately follow ion trajectories at large momentum deviationsas well as to detect their impact coordinates on vacuumchamber walls and possibly inside magnetic elements.Using secondary-ion data from Accsim and postprocessingwith Mathematica, we have implemented afollow-on simulation in FLUKA with a 3D geometry ofdecay ring components and physics models for ion interactionsin matter, allowing radiological studies and in particularthe visualization and analysis of heat deposition in thedipole magnets which is a critical design factor for the ring.In our simulations we have also implemented absorber elementswhich are intended to localize the majority of lossesoutside of the dipoles.These studies provide estimates of ring performance (interms of loss concentration and management), the effectivenessof absorbers, and the implications for successfulsuperconducting dipole operation.…”
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“…A generous provision of Matlab and Mathematica scripts are used in this book to lay bare the fabric and essential features of digital images for those who are interested in finding visual patterns in images. …”
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“…Additionally, the authors include appendices that provide a custom Mathematica program for computing solutions based on the explicit algorithmic approximation procedure, and which supply explicit illustrations of these computed solutions.…”
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“…We also provide a more sophisticated and comprehensive set of Mathematica packages and demonstrations that can be used to study a variety of 2D models. …”
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“…The resulting nonlinear couple differential equations are solved using the program’s integrated numerical solver, Mathematica. We take a graphical look at the results of homogeneous and heterogeneous reactions and talk about what we see. …”
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“…Homotopy Analysis Method (HAM) code in Mathematica is implemented to get the convergent series solution. …”
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“…Influence of different parameter over velocity profile, effect of radius of the tank over depth, effect of radius of piper over flow rate and effect of depth over flow rate are examined graphically using mathematica. Velocity profile of this model is compared with newtonian fluid's while assuming epsilon as a zero using graph and table from which it is clear that third order fluid posses greater velocity then Newtonian fluid.…”
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