Projects
Notes
Logic, the natural numbers and computability Algebra including linear algebra Real analysis, variational calculus and functionals Complex analysis Abstract algebra Analytic geometry and Euclidian space Topology
Non-relativistic field theory Rigid body physics Relativistic field theory
Computer science, integer RISC instructions (RV64I) and building a hex and macro assembler Simple algorithms with integer addition and subtraction and arrays, decision problems, other problems, lossless compression Algorithms for integer multiplication and division, and floating point arithmetic Freestanding C, and building C compiler in assembly then C Data structures and algorithms
Univariate probability Multivariate probability Multivariate probability discriminative including machine learning Fully-connected neural networks Univariate time series Multivariate time series Multivariate probability inference Probabilistic Turing machines and algorithms, and encryption Statistical mechanics Quantum mechanics and quantum computing
Chemistry and geology Biology Engineering Electronics
Manufacturing RV64I CPUs, boot ROMS/firmware (mask ROM/diode matrix), punch cards, memory mapped IO for LEDs, volatile RAM (SRAM and DRAM) and micro-architecture including cache, prefetching, instruction pipelines, branch prediction, out-of-order execution and speculative execution Control additions (RV64I\_Zicsr\_Zifencei) Integer multiplication and division (RV64IM\_Zicsr\_Zifencei) Floating Point Units (FPUs) (RV64IMFDQ\_Zicsr\_Zifencei), Single Instruction, Multiple Data (SIMD) (RV64IMFDQV\_Zicsr\_Zifencei) and BLAS Other Reduced Instruction Set Computers (RISC) and Complex Instruction Set Computers (CISC), including Intel Management Engine (ME) and amd Platform Security Processor (PSP)2D graphics, keyboards, terminals, printers and controllers Non-volatile editable memory: bootloaders and computer storage including magnetic memory (magnetic core memory, magnetic tape, floppy disks, hard drives), Semiconductor memory incuding SSD (EPROM/EEPROM/flash memory), optical memory (CD/DVD etc)Networks Audio 3D graphics Multithreading and multi-core CPUs (RV64IMFDQVA\_Zicsr\_Zifencei aka RV64GQV)Graphics Processing Units (GPUs) and Tensor Processing Units (TPUs)
RV64GQV\_S, Memory Mapping Units (MMUs), Address Generation Units (AGUs), protection rings CPU interrupts and GNU/Linux/Systemd Hosted C and compiling C code with Linux Securing the system and boot process: Including encrypting systems, Logical Volume Management (LVM), trusted execution environment, secure enclave, Supervisor Mode Access Prevention Networks on Linux Audio and video output in Linux, and sandboxing applications Serialisation, single-node databases, Structured Query Language (SQL) and Extract-Transform-Load/Extract-Load-Transform
Other imperative languages: Fortran, Algol, Pascal C++, objects, generic programming functional programming and clang/LLVM, and transpilers Other C-family languages: Rust, Zig
Scheme and Common Lisp (compiled natively), and dynamic typing Functional languages: Meta Language (ML), Caml, OCaml and Haskell Other compiled languages: Objective-C, Nim, Forth, COBOL, Smalltalk and Simula Communicating sequential processes (CSP) and actor model concurrent languages: Swift, Go C\#, F\#, VB.NET and mono
Java, garbage collection, process virtual machines and Kotlin Other Lisp-family languages, and compiling them to VM: Racket, Clojure and Scala Communicating sequential processes (CSP) and actor model concurrent languages with virual machines: The BEAM VM and Erlang, Elixer, Dart (other concurrency model?)
Other interpreted languages: Lua, Perl, Ruby, Julia, Octave, PHP and FreeBASIC
HyperText Markup Language (HTML), Cascading Style Sheets (CSS) and the World Wide Web (WWW)JavaScript, Just-In-Time compilation (JIT) and WebAssembly (Wasm)Server-side javascript and javascript frameworks and libraries
Python Python: Data Python: Internet packages
R Specific packages for R Validating code and compilers: Coq (ocaml), compcert, hol (ocaml), isabelle, agda (haskell)Logical programming languages including ada and prolog
Reverse engineering hardware, backing up ROMs, hardware emulation including use of JIT and dynamic recompilers, and emulation of retro video game systems Reverse engineering software
Statistics text, including large language models Statistics for audio with text, and multi-modal models Computer vision Working with specific datasets, and models including Llama and Stable Diffusion
Specific Linux distributions, system virtual machines, RV64GQVH\_S, hardware-assisted virtualisation and OS-level virtualisation with Docker Distributed computing Integrated Development Environments (IDEs)Android
Microsoft Disk Operating System (MS-DOS) and other non-multitasking operating systems including ZX BASIC, Classic MacOS, PC88, PC98, MSX, Machine Operating System for BBC Micro, Commadore 64 FreeBSD and OpenBSD Windows 3.x, Windows 9x and Windows NT macOS and iOS
Decision and game theory General equilibrium Industrial organisation Money, banking and finance Microeconomics Macroeconomics Public choice Languages and packages for economics: Dynare for Octave, QuantEcon for Python/Julia; NetLogo; Mesa for Python
History Epistemology and ontology Political science and philosophy

GitHub
LinkedIn

Computer science, integer RISC instructions (RV64I) and building a hex and macro assembler

Arithmetic on states

Representing natural numbers using states

Bitwise operations and the half- and full-adder

Subtraction on natural numbers

Adding and subtracting integers

Multiplication and division of natural numbers

Sequential logic

Sequential logic

The difference engine

Finite state machines

Sequential logic and finite-state machines

Regular grammars, regular languages, regular expressions, and Kleene's theorem

Pushdown automatons

The stack and pushdown automatons

Context-free grammar and context-free langauges

The Chomsky hierarchy

Turing machines

Turing machines

Multi-tape Turing machines, Turing equivalence and Turing completeness

The Church–Turing thesis

Universal Turing machines, the fetch-decode-execute cycle, and Turing completeness

Decidability

Non-deterministic Turing machines, additional complexity classes (including NP) and complement complexity classes (including co-NP)

Decidable languages

Post correspondence problem

Entscheidungsproblem

Semi-decidable languages and recursively enumerable sets

Oracles and Turing reductions

The halting problem

Stack machines

Stack machines, and their Turing equivalence

Other Turing-complete abstract machines

The analytic engine and its Turing-equivalence

Register machines

Counter machines, and program counters (aka instruction pointers) and instruction registers; and Turing-equivalence of counter machines

Representing machine code with mnemonics

Random-access machines and pointers

Random-access stored-program machines

Implementing a stack using a register machine, the frame pointer, the stack pointer, the call stack, return addresses, and the stack buffer overflow

Simulating finite state machines with registers

Making RASP machines more realistic

Limited bit registers - 8-bit, 16-bit etc CPUs

External memory, the data bus and the address bus

Adding an Arithmetic Logic Unit (ALU) to a CPU

ARM basics

Advanced RISC Machines (ARM): mnemonics for mov and integer ALU instructions

Branches and jumps, loops and branch tables in ARM

External memory, the data bus and the address bus in ARM

ARM pseudo instruction: "="

Implementing functions in ARM

ARM stack operations

Subroutines in ARM assembly

The Wheeler Jump

ARM assembly

Assembling assembly code to machine code

text, data and bss

ARM other

ARM floating point ALU

Reductions

Introduction

Introduction