CoCalc by SageMath, Inc.

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.

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#sagemath #cocalc #python #programming

We’re downtown at Seattle Life Sciences Networking Night!

#pnw #seattle #tech #networking

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.

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#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.

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#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.

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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.

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#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.

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#StatisticsTemplate #DataAnalysis #BayesianStats

Optimization LaTeX template: \minimize, \maximize commands + gradient algorithms (standard, momentum, Adam) + LQR/Kalman + PythonTeX. Get ∇f, ∇²f, KKT conditions.
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#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.

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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!

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#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

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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!

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#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!

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#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!

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#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.

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#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
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#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

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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...

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.
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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

That is why we have CoCalc OnPrem: onprem.cocalc.com/index.html

Thanks for mentioning us. We are always happy to help in any way we can.

We will bring back a new self-hosted CoCalc. Just give us a minute.

You can try our newer models, like the Gemini 2.5 Pro, now!

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

Yes, I'm not referring to accessibility in the formal sense. We created CoCalc's AI Assistant primarily to assist people in coding with Jupyter; it is largely a byproduct of that integration. We just happen to support LaTeX. It can be more efficient to generate templates because you can tailor them.