Notes

Chromium Video Rendering Issue After Omarchy (Hyprland) Update

Debugging glitchy rendering of webpages that contain video elements after updating Omarchy on a machine that has a hybrid GPU.

The Use of the Term 'dimension' to Descibe Arrays and Vectors

Clarifying a point of confusion about the use of the term “dimention”.

Movie Example

Halley’s fractal movie example

Removing Files and Folders From Git Version Control

How to stop tracking files and folders after adding them to the gitignore file.

Convert Hugo Theme to Submodule

Steps taken to convert this blog’s theme to a submodule

Trace Halley's Iterations Code

Code for tracing complex plane points as they’re iterated towards a root with Halley’s method.

Generating Fractals by Finding Roots With Halley's Method

Why are fractal patterns generated by finding polynomial roots for a complex plane with Halley’s Method?

Halley's which-root code

The source code for the halleys_roots_fractal function.

Hugo Ref Shortcode Quirks

A note about the Hugo ‘ref’ shortcode

Halley's root finding code analysis

Working through Halley’s Method fractal code

Removing notes from the homepage

For now.

Generating Fractals With Halley's Method

Images and code.

Solve Cosine of Pi Over Four

How to use the square root function to solve for the value of the cosine of Pi/4.

Polynomial Functions

Random notes about polynomial functions.

Imaginary Numbers

The number i. The imaginary unit.

Introduction to Complex Numbers

I’ve been putting this off for a while.

Halley's Method

Halley’s method is a foot-finding angorithm that’s used for functions with one real variable with a continuous second derivative.

Finding Roots With Newton's Method

Newton’s Method for finding roots of functions.

Logistic Map

The logistic map is a discrete dynamical system defined by the quadratic difference equation.

What Does It Mean to Understand Language Paper

Language understanding entails not just extracting the surface-level meaning of the linguistic input, but constructing rich mental models of the situation it describes. Here we propose that because processing within the brain’s core language system is fundamentally limited, deeply understanding language requires exporting information from the language system to other brain regions that compute perceptual and motor representations, construct mental models, and store our world knowledge and autobiographical memories. We review the existing evidence for this hypothesis, and argue that recent progress in cognitive neuroscience provides both the conceptual foundation and the methods to directly test it, thus opening up a new strategy to reveal what it means, cognitively and neurally, to understand language.

Understanding Eulers Number

Notes on Euler’s number.

Notes on Cognitive and Morphological Patterns

Notes on Dr. Michael Levin’s Platonic space article.

Zalgorithm Citation Style

The Zalgorithm citation style guide.

Hello FastAPI

Notes on the FastAPI tutorials and documentation.

Setting Up a Multi-container Docker Application for Local Development

Learning about Docker through a real project: configuring a local multi-container Docker application that uses the Chroma DB docker image and FastAPI.

Hello Docker

My attempt to get up-to-speed with Docker in a systematic way, starting at the beginning. It’s a boring way to learn.

The Meaning of Meaning (book)

A study of the influence of language upon thought and of the science of symbolism.

SimCSE: Simple Constrative Learning of Sentence Embeddings (paper)

This paper presents SimCSE, a simple constrative larning framework that greatly advances state-of-the-art sentence embeddings.

Differences Between GPT and Embedding Models

GPT-style models predict the next token, embedding models output a single fixed-size vector.

Book: Learning Deep Representations of Data Distributions

This book reveals and studies a common and fundamental problem behind almost all modern practices of (artificial) intelligence. That is, how to effectively and efficiently learn a low-dimensional distribution of data in a high-dimensional space and then transform the distribution to a compact and structured representation? For any intelligent system, natural or man-made, such a representation can be generally regarded as a memory or knowledge learned from data sensed from the external world

Chromadb Basics

Following the Chroma “Getting Started” guide.

Frederick II of Hohenstaufen: a Life

Source: https://archive.org/details/frederickiiofhoh0000mass Author: Georgina Masson Published: 1973

Michael Scot and Frederick II

In any judgement respecting the scientific activity of the court of Frederick II, much depends upon the opiniion formed of Michael Scot, the emperor’s astrologer, whose writings form a large part of the scientific and philosophical product of the Magna Curia.

Natural Philosophy

The study of nature and the physical universe, ignoring any supernatural influence.

Alchemy Restored

Alchemy now holds an important place in the history of science.

Roger Bacon as Magician

The practice of magic was much in vogue in the Renaissance and even the word had gained a limited respectability.

Scientia Experimentalis

Without experience, nothing can be properly known.

Who Was Ibn al-Haytham?

A mathematician, astronomer, and physicist of the Islamic Golden Age.

Roger Bacon Resources

Sources of information about Roger Bacon.

Roger Bacon's Family Life

What’s known about Roger Bacon’s family life?

University of Oxford

The University of Oxford is the oldest university in the English-speaking world.

What Does It Mean to Understand Language?

Language understanding entails not just extracting the surface-level meaning of the linguistic input, but constructing rich mental models of the situation it describes.

Ilchester

Ilchester, England

Roger Bacon and the Brazen Head

What is a Brazen Head?

Roger Bacon Overview

Some notes about Roger Bacon.