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13 results for “MATHEMATICA”
Optimal modes for wavefront sensorless adaptive optics. Turbulence- and oocyte-induced phase screens and Mathematica notebooks.
<p>This notebook and phase screens constitute a numerical experiment to calculate the error of the wavefront approximation using first N modes of the a) Zernike and b) Lukosz-Braat polynomials, c) SVD modes obtained with respect to the gradient-dot product, and the d) eigenfunctions of the Laplace operator with the Neumann boundary conditions. It's a complementary material to a paper submitted to Optics Express.</p>
Optical vortex knots - Mathematica files
<p>The zip-folder contains Wolfram Mathematica files that illustrate the constructions of optical vortex knots as discussed in the article "Complex optical vortex knots". For every knot type of up to 8 crossings there are two Mathematica files, one for each method of construction discussed in the article.</p>
Sequential_Sperm_Competition: Mathematica Code
<p>Mathematica code for the study "Female sperm use and storage between fertilization events drive sperm competition and male ejaculate allocation"</p>
Extended dataset and Mathematica notebook produced by the Integer sequence (A363743): a(n) = floor(sqrt(log_10(n!))).
<p>This integer sequence was registered and published in the On-Line Encyclopedia of Integer Sequences (OEIS.org) Database on August 17 - 2023, under the OEIS code: A363743. </p><p>This sequence can be generally expressed as follows: a(n) = floor(sqrt(log_10(n!))), where n is a non-negative integer. It should be noted that the aforementioned formula is written in accordance with OEIS specific style sheet format. On the other hand, it was possible to represent the general formula on another two forms that the following: </p><p>1) a(n) = floor(sqrt(A034886(n) - 1)).</p><p> 2) a(n) = A000196(A034886(n) -1). </p><p>This dataset verifies the reported properties in the comments section of the OEIS publication. Our evaluation ranges from 0 to n = 5000, in contrast to the publication which ranges from 0 to n = 92. These mentioned properties are the following: </p><p>* Every non-negative integer occurs at least 4-times. </p><p>* Each integer k > 14 appears fewer than k times. </p><p>* The only integers k that occur exactly k times are 11, 13 and 14. </p><p>* This sequence can produce random values between 0 and 1 if we do a(n)/a(n+m) for any non-negative integer m. </p><p>The numerical data showed on this dataset was generated by the following Mathematica program: Array[Floor@ Sqrt[Log10[#!]] &, 5000, 0] The previous program was builded on Mathematica v13.3.0.</p><p> <strong>Note:</strong> More mathematical details, graphics and technical information can be found in the notebook or .nb file provided in this dataset. </p>
Mathematica code for "Delicate windows into evaporating black holes"
<p>We provide the Mathematica code to reproduce the numerical and analytical results presented in the paper "Delicate windows into evaporating black holes".</p>
Experimental Gxx, Gxy raw data and a Mathematica script for calculation of Berry's phase
<p>These raw data files supplement our study of Berry's phase in ABA-trilayer graphene.</p>
Mathematica codes for: Cosmological singularity as an informational seed for Everything
<p>The Mathematica notebooks calculate mean values of the energy density of the quantum fields under curved background. The background of the uniform isotropic expanding universe is implied. The notebooks densitySec2.nb and densitySec3.nb are related to the methods described in the second and third sections of the paper respectively. These notebooks give the same results.</p>
The Recombination Hotspot Paradox: Co-evolution between PRDM9 and its target sites: Mathematica Files
<p>Mathematica files used to draw the figures of the manuscript</p>
Mathematica codes for: Cosmological singularity as an informational seed for Everything
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Raw data and mathematica script for simultaneous fitting of curve for a hybridized two sublattice system
<p>These raw data files supplement our study on the magnetization dynamics in CrCl<sub>3</sub></p>
Mathematica code for the reading & displaying of the CFD data for D7 MeDDII
<p><strong>Mathematica code for the reading & displaying of the CFD data for Deliverable D7 MeDDII</strong></p>
Kerr Total Transmission Mode Mathematica Data: l=2--8
<p>These tar.gz files contain the original Mathematica data files for the gravitational total transmission modes of the Kerr geometry for n=0 (Normal) and n=1 & 2 (Asymptotic) sequences for l=2--8. These data sets were constructed using the methods outlines in Cook & Zalutskiy, <em>Phys. Rev. D</em> <strong>90</strong> (2014) pp. 124021 (DOI: https://doi.org/10.1103/PhysRevD.90.124021) and Cook & Lu, <em>Phys. Rev. D</em> <strong>107</strong> (2023) pp. 044043 (DOI: https://doi.org/10.1103/PhysRevD.107.044043).</p>
Kerr Quasi-Normal Mode Mathematica Data l=2--16, n=0--32
<p>This tar.gz file contains the original Mathematica data files for the gravitational quasi-normal modes of the Kerr geometry. For n=0--15, all m values for the l=2--16 modes are present. For n=16--32, all m values for the l=2--4 modes are present. These data sets were constructed using the methods outlines in Cook & Zalutskiy, <em>Phys. Rev. D</em> <strong>90</strong> (2014) pp. 124021 (DOI: https://doi.org/10.1103/PhysRevD.90.124021).</p>
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Allen Brain Atlas
Allen Brain Atlas is an Allen Institute collection of brain map atlases, datasets, APIs, and analysis tools covering mouse, human, and non-human primate brain resources.
Annotated Behaviour and Observability Dataset (ABODe)
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DANDI Archive for NWB datasets
DANDI is a BRAIN Initiative archive for publishing and sharing neurophysiology data, including electrophysiology, optophysiology, and behavioral data packaged as NWB and related standards.
International Brain Laboratory public data
The International Brain Laboratory public data releases expose standardized mouse decision-making experiments, including Neuropixels recordings, widefield calcium imaging, behavior, and session metadata accessed through the ONE API.
OpenNeuro
OpenNeuro is a free, open platform for sharing neuroimaging datasets, with public search, dataset pages, and download paths for web, S3, DataLad, and the OpenNeuro CLI.