CoCalc by SageMath, Inc.
@cocalc.bsky.social
Website: https://cocalc.com/ Collaborate in real-time via web browser while using your favorite programming languages and applications. Like Google Suite for Computational Scientists. Self-host your own instance of CoCalc: https://onprem.cocalc.com/
Excited to showcase CoCalc at the 2nd MOERFI Demo Day with GWDG at the Rhineland-Palatinate State Parliament! We're participating in discussions on the future of sovereign AI, open infrastructure, and rethinking tools/editors in practice. #CoCalc #GWDG #MOERFI2026
Professional linear algebra LaTeX template: matrix decompositions (QR, LU, Cholesky A=LLᵀ, SVD A=UΣVᵀ), eigenvalue λ solvers, and condition number κ(A) analysis. Custom \norm{·}, \cond{·} commands. PythonTeX integration. cocalc.com/share/public... #sagemath #cocalc #python #programming
From Euler's 1734 partial derivatives to modern Monte Carlo integration: this comprehensive SageMath tutorial bridges 300 years of mathematical development in one computational notebook. cocalc.com/share/public... #sagemath #cocalc #calculus
Professional signal processing LaTeX template: FFT algorithms with ℱ{f(t)}=∫f(t)e^{-iωt}dt, Butterworth/Chebyshev filters, Welch spectral estimation, spectrograms, wavelets. Get complete frameworks for DSP research. cocalc.com/share/public... #SignalProcessing #FFT #DSP
Your body hydrolyzes ~10²⁶ ATP molecules daily— (≈ recycling your body mass in ATP ~1000 times). At 55 kJ/mol under cellular conditions (vs 30.5 kJ/mol standard), this molecular currency runs on a 25 kJ premium. Kleiber's law shows metabolic rate scales as M^0.75, not M. cocalc.com/share/public...
The Balmer series produces visible hydrogen light. Lyman produces UV. Paschen produces infrared. All from the same equation—just different final energy levels. Spectroscopy via computation. cocalc.com/share/public... #julia #programming #chemistry #physics #quantum
Professional statistics LaTeX template for data analysis. Get hypothesis testing, Bayesian MCMC (μ, σ, ρ inference), Ridge/Lasso regression with live Python integration. cocalc.com/share/public... #StatisticsTemplate #DataAnalysis #BayesianStats
Optimization LaTeX template: \minimize, \maximize commands + gradient algorithms (standard, momentum, Adam) + LQR/Kalman + PythonTeX. Get ∇f, ∇²f, KKT conditions. cocalc.com/share/public... #python #latex #optimization
Professional ML LaTeX template: gradient descent ∇L(θ), backpropagation ∂L/∂θ, optimization algorithms. Download pre-formatted frameworks for neural network research with live Python integration. cocalc.com/share/public... #machinelearning #gradientdescent
Bond types → Electronegativity → Bond energy (Morse) → VSEPR → IMFs → Applications (drug discovery, batteries, catalysis) → Computational chemistry (DFT, QSAR, R packages) Fundamentals + Applications + Tools in one example set! cocalc.com/share/public... #Chemistry #RStats #ComputationalChemistry
From airfoil geometry to turbojet performance modeling - this LaTeX template includes flight dynamics, stability analysis, and numerical methods. Experience seamless Python-LaTeX integration for reproducible engineering reports. #EngineeringComputation #PythonTeX cocalc.com/share/public...
Learn Pauling Scale (1932): F=4.0 most electronegative, K=0.7 least. Classify bonds by ΔEN: • Nonpolar: 0-0.4 (H₂, CH₄) • Polar: 0.4-1.7 (H₂O, NH₃, HCl) • Ionic: >1.7 (NaCl, MgO) Analyze dipole moments μ=δ×d. R visualizations with ggplot2! cocalc.com/share/public... #Chemistry #RStats
How did advanced calculus evolve? From Euler's partial derivatives (1734) to Stokes' theorem (1854). Build foundations with vectors, coordinate transforms. The history behind multivariable calculus! cocalc.com/share/public... #Math #Calculus
355 years of cell discovery! From Hooke's cork cells (1665) to CRISPR (2020). Learn Cell Theory (Schleiden-Schwann 1838), Virchow's cell division (1855). Code historical timeline in R! cocalc.com/share/public... #CellBiology #RStats #ScienceHistory #CellTheory #Education #Microscopy
Learn ionic, covalent, and metallic bonding through computational analysis. Analyze 8 ionic compounds using R: lattice energies, melting points, Born-Landé predictions. ggplot2 visualizations + statistical correlations. cocalc.com/share/public... #Chemistry #RStats #MaterialsScience #IonicBonds
We are currently attending the Society for Industrial and Applied Mathematics (SIAM) Pacific Northwest Section Meeting at the University of Washington. If you are in the area, please do not hesitate to contact us! #siam #mathematics #pnw #sagemath #cocalc
We've updated our LaTeX Editor layout! We've replaced the multiple frames for the table of contents, build log, and error log with a new, unified single-frame viewer. Take a look at the new version (left) compared to the old one (right). #latex #scientificcomputing #pythontex
Bond energy across 17 molecules fits the universal Morse potential model: E(r) = D_e[1 - e^{-a(r - r_e)}]^2. Computed in R, results confirm quantum predictions: • Shorter bonds = stronger bonds • Bond order boosts stability cocalc.com/share/public... #ComputationalChemistry #BondEnergy
Al₂O₃: 15,916 kJ/mol vs NaCl: 786 kJ/mol lattice energy r=0.443 correlation validates Born-Landé (1918) Temp difference: 1271°C cocalc.com/share/public...
The number 6 is perfect: 6 = 1 + 2 + 3 (its proper divisors) The next perfect number? 28 = 1 + 2 + 4 + 7 + 14 Explore divisibility, prime patterns, and number theory mysteries with SageMath computations. 🔗 cocalc.com/share/public...
Published/Number Theory/Divisibility and Prime Numbers with SageMath in CoCalc/Divisibility and Prime Numbers with SageMath in CoCalc.ipynb
Master divisibility rules and prime number theory through comprehensive SageMath computations. Explore fundamental concepts including divisors, multiples, prime factorization, and primality testing us...
cocalc.com
We are happy to have our CSO, Blaec Bejarano, representing us in Washington, D.C. as a member of the National Small Business Association’s Leadership Technology Council and newly formed AI task force! #nsba #smallbusiness #DC
Prime or composite? GCD in seconds. CRT solved instantly. Number theory + SageMath: cocalc.com/share/public_paths/08c801fdd5474196e51f45978702ea0cb344e6e6 #cocalc #sagemath
New: CoCalc Python API + Organization admins (API-only). Automate projects, file copy, and org user management. Install: pip install cocalc-api or uv add cocalc-api Docs: cocalc.com/api/python/ PyPI: pypi.org/project/coca... Org admin access? Contact us. #python #api #admin #cocalc
We had a great time exhibiting at the International Conference on Machine Learning (ICML 2025) in Vancouver Canada this week! #icml #conference #ai #ml #networking
We’re here at ICML all week in Vancouver, Canada, live demoing in the exhibit hall! Come find us! #vancouver #canada #icml #conference
We're working with the Journal of Fluid Mechanics to make papers interactive. You can now click a link in a research article and immediately start playing with the authors' Jupyter notebooks and data in CoCalc. youtu.be/2MGNKaKlIYA #CoCalc #Jupyter #FluidDynamics #Science #Academia
How to Interact with Jupyter Notebooks in the Journal of Fluid Mechanics
YouTube video by CoCalc by SageMath, Inc.
youtu.be
The AI Assistant in CoCalc is pretty amazing for academic work. You can prompt it to write out a full, rigorous mathematical proof in LaTeX, and it just does it. youtu.be/zsOnxKFwyv8 #CoCalc #LaTeX #AI #Math #Academia #Science
How to AI Generate Mathematical Proofs in LaTeX Using CoCalc
YouTube video by CoCalc by SageMath, Inc.
youtu.be
In CoCalc, you can now AI-generate a proof for the Fundamental Theorem of Calculus (and more!) directly in your .tex file. Prompt the AI -> Get a formatted proof -> Done. Quick Tutorial: youtu.be/zsOnxKFwyv8 #CoCalc #LaTeX #AI #Math #AcademicChatter #Calculus
