Collaborative Calculation and Data Science

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See https://sagemanifolds.obspm.fr/intro_to_manifolds.html  and https://github.com/sagemanifolds/IntroToManifolds  

Mathematical heart shapes for Valentine's Day

Try doing some basic maths questions in the Lean Theorem Prover. Functions, real numbers, equivalence relations and groups. Click on README.md and then on "Open in CoCalc with one click".

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📚  The CoCalc Library - books, templates and other resources

solve 3n+1 Problem. `h(x)=4*x+1` and `v(x)=(2*x-1)/3 or (4*x-1)/3` iterate to Collatz-Odd-Tree

PythonTeX example: have LaTex \maketitle show local date instead of UTC date.

All published worksheets from http://sagenb.org

My random explorations into number theory and various statistics and distributions of arithmetic functions. These are my rambles and should not be taken as any more than that. I do hope to have lots of cool graphs and plots. I also will include failed ideas, since I think it's important to show those as well. Will be frequently updated.

Charles Meneveau and Colm-cille P. Caulfield, 'Introducing JFM Notebooks', Journal of Fluid Mechanics 952 (2022), E1 (https://doi.org/10.1017/jfm.2022.903). Figure 4 key words: isotropic turbulence, small-scale vortices, kinetic energy distribution

© The Authors, 2022. Published by Cambridge University Press.

To edit and run the notebooks: (1) click the 'Edit...' button below; (2) on the following screen, click 'Use CoCalc Anonymously', (3) then click 'Create New Project'.

Charles Meneveau and Colm-cille P. Caulfield, 'Introducing JFM Notebooks', Journal of Fluid Mechanics 952 (2022), E1 (https://doi.org/10.1017/jfm.2022.903). Figure 3 key words: stratified shear flow, density contours, oscillating flow

© The Authors, 2022. Published by Cambridge University Press.

To edit and run the notebooks: (1) click the 'Edit...' button below; (2) on the following screen, click 'Use CoCalc Anonymously', (3) then click 'Create New Project'.

Charles Meneveau and Colm-cille P. Caulfield, 'Introducing JFM Notebooks', Journal of Fluid Mechanics 952 (2022), E1 (https://doi.org/10.1017/jfm.2022.903). Figure 1 key words: channel flow, velocity profile, logarithmic law

© The Authors, 2022. Published by Cambridge University Press.

To edit and run the notebooks: (1) click the 'Edit...' button below; (2) on the following screen, click 'Use CoCalc Anonymously', (3) then click 'Create New Project'.

Browse publicly shared documents on CoCalc