Bou.lt

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
Newtonian gravity and electrostatics Special relativity, electromagnetism and general relativity Rigid body physics
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 a C compiler in assembly then C Data structures and algorithms
Univariate probability Multivariate probability Multivariate discriminative probability 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 Pre-computer electronics for finite state machines including making a calculator: boot ROMs/firmware (mask ROM/diode matrix), punch cards, memory mapped IO for LEDs and keyboards and volatile RAM (SRAM and DRAM) (eg rom for e and pi in calculator, (could have big page on sequential/combinatorial logic before, and could introduce some of these here)
Manufacturing RV64I CPUs 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 Basic Linear Algebra Subprograms (BLAS)Other Reduced Instruction Set Computers (RISC) and Complex Instruction Set Computers (CISC)2D graphics 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), Master Boot Record (MBR) and FAT32 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, dynamic libraries, 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, Intel Management Engine (ME) and AMD Platform Security Processor (PSP)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 with runtime systems: 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 (JIT) compilation 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
Natural Language Processing (NLP) of just text, including transformers and Large Language Models (LLMs)Natural Language Processing (NLP) with text and audio 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 Accounting Industrial organisation Money, banking and finance and international trade Microeconomics including information asymmetry, labour markets, externalities, public goods and subscription-based services Business Macroeconomics Public choice and government production of goods Cryptocurrencies Specific legislation and regulation 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

Univariate probability

Probability

Events, the probability function and the Kolgomorov axioms

Conditional probability and Bayes' theorem

Variables

Expected value, conditional expectation and Jensen's inequality

Variance and covariance

Markov's inequality and Chebyshev's inequality

Characteristic functions

Single observation probability distributions

Degenerate, Bernoulli and categorical distributions

Simple continuous distributions

The central limit theorem

Independent and identically distributed variables

The weak law of large numbers

Levy's continuity theorem

The central limit theorem and the gaussian/normal distribution

More probability distributions from IID

Order statistics

Totals of independent draws: Binominal and Poisson distributions

Time between draws: geometric and exponential distributions

Extreme value distributions

The geometric distribution

Distributions with multiple variables

Mixture distributions

Latent class analysis and the expectation-maximisation algorithm

The empirical distribution

The empirical distribution

Exploratory data analysis

Summary statistics and visualisation for one variable

Testing population means with Z-tests and T-tests

Pivotal quantities

Estimating generative probability distributions

Non-parametric estimation of probability distributions

Bayesian parameter estimation

Point estimates of probability distributions

Likelihood functions

The score, Fisher information and orthogonality

Quasi-likelihood functions

Maximum Likelihood Estimation (MLE)

Maximum A-Priori (MAP) estimation

The Method Of Moments (MOM)

Testing generative parameter estimates with Z-tests and T-tests

Choosing parametric probability distributions

Estimating population moments

Bootstrapping

Bootstrapping

Bootstrapping

If we have a sample of \(n\), we can create bootstrap samples by drawing with replacement for other sets with \(n\) members.

Variance of bootstrap estimators