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ImperialCollegeLondon/formalising-mathematics-2022

Stars
118
Rank 299,923 (Top 6 %)
Language Lean
Created almost 3 years ago
Updated 9 months ago

ImperialCollegeLondon/formalising-mathematics-2022

ImperialCollegeLondon

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Lean 3 material for Kevin Buzzard's Jan-Mar 2022 course on formalising mathematics. Lean 4 version available here: https://github.com/ImperialCollegeLondon/formalising-mathematics-2024

Formalising Mathematics

This is the repository for Kevin Buzzard's 2022 course on formalising mathmatics in the Lean theorem prover. The course ran from January to March 2022. Note: the 2023 version of the course is here.

Installation

If you have Lean 3 and the community tools installed, then it's just a matter of typing

leanproject get ImperialCollegeLondon/formalising-mathematics-2022

into the command line. Instructions for installing Lean 3 and the relevant tools are here.

Course notes

The course notes are here. Note: the 2023 course notes are more up to date.

Course videos

The accompanying videos are in a YouTube playlist here.

covid19model

Code for modelling estimated deaths and cases for COVID19.

formalising-mathematics

Lean 3 material for Kevin Buzzard's 2021 TCC courrse on formalising mathematics. Lean 4 version available here: https://github.com/ImperialCollegeLondon/formalising-mathematics-2024

natural_number_game

Building the natural numbers in Lean 3. The original natural number game, now frozen. See README for Lean 4 information.

sap-voicebox

Speech Processing Toolbox for MATLAB

FLT

Ongoing Lean formalisation of the proof of Fermat's Last Theorem

M40001_lean

Lean 3 material related to Imperial College's "Introduction to University Mathematics" course

sharpy

Simulation of High Aspect Ratio aeroplanes and wind turbines in Python: a nonlinear aeroelastic code

django-drf-filepond

A Django app providing a server implemention for the Filepond file upload library

formalising-mathematics-2024

Formalising Mathematics; a course for undergraduate mathematicians. Ran between January and March 2024.

real-number-game

A gamification of the theorems in MATH40002 Analysis 1

ICLOCS

Imperial College London Optimal Control Software (ICLOCS)

M4P33

M4 algebraic geometry course in Lean

group-theory-game

Building group theory from scratch in Lean

pnextract

Pore network extraction from micro-CT images of porous media

formalising-mathematics-2023

repository for material for Jan-Mar 2023 course on formalising mathematics

epidemia

epidemia package

pnflow

Classical network (extraction and) flow simulation

EventEMin

Event-based vision motion estimation

Visual2

F# re-implementation of VisUAL educational ARM assembler and simulator.

RCDS-comm-line

https://github.com/kmichali/GS_comm_line

Jupyter Notebook

complex-number-game

The Complex Number Game. Make the complex numbers in Lean.

RCDS-profiling-and-optimisation-in-python

Jupyter Notebook

RCDS-object-oriented-python

Jupyter Notebook

RCDS-intro-to-containers

xena-UROP-2018

A place to put our 2018 Xena project UROP thoughts and programs.

porefoam

Direct pore-scale simulation of single- and two-phase flow through confined media (alpha-release / experimental)

csml-reading-group

Computational statistics and machine learning reading group at Imperial College London (2019-2020)

Example-Lean-Projects

Some examples of Lean projects, for undergraduate mathematicians.

EpiCollectplus

The next generation of EpiCollect, multiple forms, more fields and more control. We recommend using Apache 2.2 or later, PHP 5.3 or later and MySQL 5.5 or later.

pyrealm

Development of the pyrealm package, providing an integrated toolbox for modelling plant productivity, growth and demography using Python.

RCDS-machine-learning-with-python

Getting started with scikit-learn for machine learning

Jupyter Notebook

spear-tools

SPEAR Challenge scripts and tools.

porescale

UVLM

Unsteady Vortex Lattice Method for Aeroelasticity in C++

RCDS-intro-to-machine-learning

Imperial College London / Graduate School / Data Science / Introduction to Machine Learning

poreFoam-singlePhase

Direct single-phase flow simulation and pre/post-processing codes

poetry_template

Poetry-based Python application template with automated testing, CI and docs

imperial_latex_templates

Official LaTeX templates employing the Imperial College London brand.

RCDS-data-processing-with-python

Imperial College London / Graduate School / Data Science / Data Processing with Python Pandas

Jupyter Notebook

RCDS-introduction-to-fortran

An Introductory Fortran course delivered by the Imperial College London Graduate School.

multifluids_icferst

GUIs-for-RS

Workshop on Graphical User Interfaces for Research Software

ComputerVision2018-19

Computer Vision 2018-19

Jupyter Notebook

M1P1-lean

Material from M1P1, formalised in Lean

RCDS-numerical-computing-in-python-with-numpy-and-scipy

Jupyter Notebook

R2T2

Research References Tracking Tool

WInc3D

Wind Farm Simulator

m1fexplained_lean3

A Lean formalisation of parts of Martin Liebeck's "A concise introduction to pure mathematics"

wsi

WSIMOD is a software for simulating water quality and quantity

sap-sh-doa-estimation

Direction of arrival estimation algorithms in the spherical harmonics domain

fractalgenetics

Analysis of the genomic architecture and functional role of myocardial trabeculae

RCDS-writing-theses-in-latex

RCDS-introduction-to-latex

lean-maths-examples

Some theorems presented to first and second year mathematics undergraduates, First and second year undergraduate level mathematics

Multiview-Motion-Estimation-for-3D-cardiac-motion-tracking

cardiovascular_ageing

ReCoDe-Euler-Maruyama

ReCoDe project to showcase an implementation of the Euler-Maruyama numerical method to solve Stochastic Differential Equations

RCDS-sampling-and-hypothesis-testing

Imperial College London / Graduate School / Data Science / Introduction to Sampling & Hypothesis Testing

RCDS-plotting-in-python-with-matplotlib

Jupyter Notebook

pytest_template_application

Python application template with automated QA and Docker image publishing

M1F-explained

A computer formalisation of parts of Martin Liebeck's book "a concise introduction to pure mathematics"

diastolic_genetics

Analysis of the genetic and environmental predictors of diastolic heart function

grad_school_software_engineering_course

Essential Software Engineering for Researchers

DirectSearch.jl

Direct search methods for derivative-free optimization

BART-Int

Bayesian Probabilistic Numerical Integration with Tree-Based Models (using Bayesian Additive Regression Trees)

python-guis

virtual_ecosystem

This repository is the home for the codebase for the Virtual Ecosystem project.

US-covid19-agespecific-mortality-data

Extract COVID-19 age-specific mortality counts in U.S states and metropolitan areas

RCDS-further-hypothesis-testing

Imperial College London / Graduate School / Data Science / Further Hypothesis Testing

diophantine

Solving Diophantine equations in Lean

RCDS-data-exploration

Imperial College London / Graduate School / Data Science / Data Exploration & Visualisation

RCDS-intro-to-r

Imperial College London / Graduate School / Data Science / Introduction to R

RCDS-managing-and-running-python-effectively

fragment-cloud

Semi-analytic atmospheric entry modelling for meteoroids

grad_school_git_course

Using Git to Code, Collaborate and Share

ReCoDE_Diffusion_Code

Repository for the ReCoDE project which aims to solve the Neutron Diffusion Equation

guikit

Template to write GUIs based on wxPython that takes care of a large part of the boilerplate code to get started.

3DKSL

3D Motion Segmentation of Articulated Rigid Bodies based on RGB-D data

pure-maths-yamls

Descriptions of the main theorems and definitions in all the pure maths courses at Imperial

openFrame

This repository is for the openFrame microscope and supporting projects

tcc-lean-alg-geom-2022

Experiments in algebraic geometry as part of the EPSRC Taught Course Centre course on formalising number theory and geometry

Computer_Vision_2022

Jupyter Notebook

group-theory-experiments

Lean 4 experiments in undergraduate group theory

ReCoDE_IDMS

acoustics-db

al_cfd_benchmark

Active learning based regression for CFD cases

rcs-pacemakers

Example of GPU-accelerated machine learning on the RCS compute cluster using Jupyter and conda

Jupyter Notebook

Computer_Vision_2020

CO315: Computer Vision, Spring Term, 2019 - 2020

Jupyter Notebook

RCDS-data-processing-with-r

Imperial College London / Graduate School / Data Science / Data Processing with R

django-passwordless-login

Login to your Django app with a link sent by email.

covid19cumdeaths

Zambelli2019_RAS_multimodal_VAE

Code and dataset for the RAS accepted paper "Multimodal representation models for prediction and control from partial information"

RCDS-basic-statistics

Imperial College London / Graduate School / Data Science / Basic Statistics

Computer_Vision_2023

Courseworks for Computer Vision 2023 (Spring Term)

Jupyter Notebook

rcs_flask_aad_login

Python package to allow Flask web applications to single sign-on through IC's Azure Active Directory

AI4PDEs

PDE solvers expressed as neural networks

Y2CL_Worksheet_Template

2nd Year Physics Computing Laboratory Worksheet

ReCoDE_rnaseq_pipeline

A parallelised pipeline for the analysis of RNA sequencing data. This repository is part of Imperial College London's ReCoDE project, which aims to support teaching and learning in research computing and data science.

webBO

condensed-sets

Condensed mathematics in Lean