synth-dev

Hug and SIMS by NousVolition: Lean 4 proofs, Green strain objectivity, memory and witness models, and numerical fluid studies with recorded verification and open claims

Three research-grade numerical methods labs (randomized SVD per Halko-Martinsson-Tropp, symplectic Sturmer-Verlet vs RK4 on Hamiltonian systems, Giles multilevel Monte Carlo vs Black-Scholes) - every test validates against published theory.

Pythonic quantum-classical programming language

Independent LARK implementation: Lean-checked verification for a bounded CUDA/HIP GPU kernel subset

.NET library for parsing and evaluating KatLang — a simple, concise language for calculations, reusable formulas, and composable workflows.

Complete Lean 4 / Mathlib formalization of Monteiro–Tourky: the one-period Kyle model has one equilibrium (arXiv:2607.23585v4). 0 sorry, axiom-clean.

An AI collaborative system that works alongside mathematicians on challenging proofs—handling retrieval, lemma decomposition, and Lean verification.

Official academic and research portfolio of Md. Razu Ahmed, showcasing publications, research projects, AI, data science, mathematics, and peer-review contributions.

Trending open-source repository: ImperialCollegeLondon/RCDS-introduction-to-AI-assisted-programming

Play your own Switch games on iPhone/iPad — one-click macOS app, no terminal. | 把 Switch 游戏装进 iPhone：图形界面一键构建，不用命令行。Bring your own game.

NullFlux — 本地部署的中文 CFD / 科学计算智能体（OpenFOAM · MFIX · LBM · ParaView · 视觉核验 · 论文复现），by LZF

Only hosting https://doc.sagemath.org/ files. Updates to the documentation must be made with PRs to https://github.com/sagemath/sage, not here.

A 3D mathematics puzzle journey through graphs, homotopy and covering spaces. 中文 · English · 日本語 · 한국어.

inter-language poring example using Lean4 proof assistant and B-Method like refinement

Sparse matrix operations for AWS Trainium via NKI (cuSPARSE-equivalent) — CSR/COO formats, SpMV and SpMM via gather-matmul-scatter, Schwarz integral screening for quantum chemistry.

The ten minimum universal sets of MacMahon cubes: a complete classification, resolving the Johnson–Roldán conjectures. Paper and Lean formalisation.

The Craft App Launcher

The Core Flight System (cFS) CFDP application.

PIASO: Precise Integrative Analysis of Single-cell Omics

A Lean 4 formalization of a mathematical result concerning the inverse tree of the Collatz map.