Protected: Administrative FAQ – Summer Research in Computing
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Mathematical Science & Technologies
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Protected: CGU: Computing from the Ground Up
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Protected: SRC24-4: Embedded Computing with 3iForth
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Protected: SRC24-A: Electronics Inventory
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Protected: SRC24-3: Embedded Computing & Arduino (with basic electronics)
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Protected: SRC24-2: Stack computing and MISC high level language
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Protected: SRC24-1: Deconstructing Computing to its Essentials. Minimal Instruction Set Computing (MISC)
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Protected: SRC24-0: Toolset
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Protected: Summer Research in Computing & Embedded Systems – 2024 Program (starts July 8th)
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A tiny high-level language runtime for embedded computing with the power of C and the extensibility of Forth or LISP.
We are delighted to announce the successful completion of a tiny footprint high-level computing language for high-speed, low-power, embedded computing on bare silicon (no BIOS, no OS). In terms of size, cost, and carbon footprint, the kernel clocks in at 730 bytes which includes a fully extensible runtime kernel providing DSL (domain specific language) [Read More...]
The Sacred & the Profane: the search for simplicity in the total hardware-software combination
If you haven t done so already, you may want to start by reading the Preface to Knowledge Engineering Emerging Technologies. January 31st, 2024 (4th ed)1 When designing a system, what should you optimize? If it is a user-interface or process, you should be minimizing clicks, or process steps. But for hardware-software systems, the [Read More...]
The Prehistoric Origins of Mathematics (Appendices)
Appendices Appendix 1. The Essential Nature of Arithmetic The following are extracted verbatim from the outstanding essay of A.D. Aleksandrov, A General View of Mathematics, specifically section 5, pp.17-19, on the Essential Nature of Arithmetic in [Aleksandrov/Arithmetic1956]. 1. How did the abstract concepts of arithmetic arise and what do they reflect in the [Read More...]
The Prehistoric Origins of Mathematics
3rd ed. Aug 2023 (expanded appendices). 2nd ed. Nov 2019 (revised to include advances in linguistics, genomics, interpretive theory, and Mesopotamian mathematics); 1st ed. (Dec 29, 2009) Part 1 in Ancient Mathematics series. (Part 2: The Mathematics of Uruk and Susa 3500-3000 BCE, Part 3: Exploring Cuneiform Culture 8500-2500 BCE) Abstract How far back [Read More...]
Insider perspectives: Mathematicians on Mathematics
Revised Expanded May 2023. First published November 1998. This article provides a selection of quotes, written mostly by mathematicians, that convey especially clearly essential aspects of mathematics and its culture. Comments are collected in the endnotes. Contents 1. The Essence of Mathematics 2. The Why of Mathematics 3. The How of Mathematics 4. Tension [Read More...]
The Prehistoric Origins of Mathematics
3rd ed. Aug 2023 (expanded appendices). 2nd ed. Nov 2019 (revised to include advances in linguistics, genomics, interpretive theory, and Mesopotamian mathematics); 1st ed. (Dec 29, 2009) Part 1 in Ancient Mathematics series. (Part 2: The Mathematics of Uruk and Susa 3500-3000 BCE, Part 3: Exploring Cuneiform Culture 8500-2500 BCE) Abstract How far back [Read More...]
Livia All Alone
Livia All Alone By Jasmine Sheherazade Ebrahim, from the Livia Series “Ow!” Livia moaned. “You stood on my foot!” “Budge up!” Roxanne hollered. “That’s my guitar you’re poking at!” “Hey, hey, hey! Roxy, you’re not bringing your guitar, are you?” Their mother, Mrs Bell, said wearily. Roxanne glared at her mother. “That’s mine!” Brittany shrieked. [Read More...]
Livia’s Life – Season 2
Livia’s Life – Season 2 by Jasmine Sheherazade Ebrahim, from the Livia Series Chapter One Livia was sitting restlessly on the picnic-blanket, complaining every five seconds. “Mum, please,” she moans. “I’m so bored.” “Livia, stop it.” Her mother snaps. Livia sinks further into the blanket. “Let’s just enjoy some fresh air, eh?” [Read More...]
Livia’s Life – Season 1
Livia’s Life – Season 1 by Jasmine Sheherazade Ebrahim, In the Livia Series Chapter One “Faster! Higher!” Livia grinned as Lavender patiently pushed the swing. Livia’s legs swung uncontrollably as the swing rapidly got higher. Lavender was getting worried. “Liv, it’s getting too fast,” she bit her lip, letting go [Read More...]
Livia’s Christmas
Livia’s Christmas, by Jasmine Sheherazade Ebrahim, Story in the Livia Series Livia Bell, Maya (Mum), Sam (Dad), Brittany Bell, Roxanne Bell, Alexa Bell, Catherine Bell, Rosalind Bell, Lavender Bell, Luka Bell, Yasmina Amira (Luka’s wife), Zain Bell, Fiona Challis (Zain’s girlfriend), Kitty Mall (Family friend), Grandpa Joe (Sam’s dad), Granny (Sam’s mum), Grandad (Maya’s dad), [Read More...]
What is Mathematics?
4th ed. Jan 2024; 3rd ed. May 2023; 2nd ed. Dec 2009; 1st ed. Sep 2004 It is not philosophy but active experience in mathematics itself that alone can answer the question: `What is Mathematics?' Richard Courant Herbert Robbins, 1941, What is Mathematics?, Oxford University Press) An adequate presentation of any science [Read More...]
The Benefits of Enriched Mathematics Instruction
2nd ed. June 2023; 1st ed. April 2010 The term mathematical maturity is sometimes used as short-hand to refer to a blend of elements that distinguish students likely to be successful in mathematics. It is a mixture of mathematical interest, curiousity, creativity, persistence, adventurousness, intuition, confidence, and useful knowledge.[1],[2],[3] With advances in machine [Read More...]
Knowledge Engineering & Emerging Technologies*
2nd ed. Jan 2023 (before the ChatGPT/LLM AI release), 1st. ed. 2005 Overview In the intersection between Mathematics, Modern Statistics, Machine Learning Data Science, Electrical Engineering Sensors, Computer Science, and Software Engineering, is a rapidly accelerating area of activity concerned with the real-time acquisition of rich data, its near real-time analysis [Read More...]
Mathematical Finance and The Rise of the Modern Financial Marketplace
Updated May 2024 (added non-banking financial sector), Updated March 2023 (added latest bank collapses in US/EU). First published July 5, 2010 (two years after the financial collapse triggered Great Recession). Mathematical Finance is an area of applied mathematics that has developed rapidly during the late 80s and 90s after the deregulation of U.S. financial [Read More...]
TinyPhoto: Embedded Graphics and Low-Fat Computing
TinyPhoto is a small rotating photobook embedded graphics project that uses the low-power ATtiny85 microcontroller (3mA) and a 128×64 pixel OLED display (c.5-10mA typical, 15mA max). This combination can deliver at least 20 hrs of continuous play on a 3V coin cell battery (225mAh capacity). TinyPhoto can be readily built from a handful of through-hole [Read More...]
Programming Microcontrollers – low power, small footprints, & fast prototypes, using Arduino, Atmel, & GForth
This article explains how to use the Arduino toolchain to program microcontrollers from the Arduino IDE using their bootloaders, and also burning bootloaders directly onto bare microcontroller chips. It covers developing interactively with Forth (rapid prototyping), and moving your creations from a development board (Nano, Uno) to a standalone, low-cost, low-power, small footprint chip [Read…
Voice-controlled Hardware: Making Sensors Talk for Under £5
Voice controlled hardware requires four capabilities: (1) vocal response to trigger events (sensors/calculations-to-brain), (2) speech generation (brain-to-mouth), (3) speech recognition (ear-to-brain), and (4) speech understanding (brain-to-database, aka learning). These capabilities can increasingly be implemented using off-the-shelf modules, due to progress in advanced low-cost silicon capable…
Protected: Electronic Product Design Concepts for “Dive Into Electronics & Microcontrollers ” Short Course
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Fuzzy Classifiers and Quantile Statistics for continuous data monitoring with adaptive thresholds
Abstract This brief note explores the use of fuzzy classifiers, with membership functions chosen using a statistical heuristic (quantile statistics), to monitor time-series metrics. The time series can arise from environmental measurements, industrial process control data, or sensor system outputs. We demonstrate implementation using the [Read More...]
LOGIC in a Nutshell: Theory & Application (including a Forth simulator, and digital circuit design)
This article looks at Propositional Logic, also called Statement Calculus, from a combinatorial and algebraic point of view (Sections 3-6), its implementation in software (Section 7), and its application to digital electronics (Section 10). Historical sections cover the shift in viewpoint from classical logic based on Aristotle s syllogism to modern symbolic logic (Section 2) [Read More...]
How Algebra became abstract: George Peacock & the birth of modern algebra (England, 1830)
In this article we look at the ideas of George Peacock whose 700-page opus A Treatise on Algebra (1830) transformed classical algebra into its modern form as an abstract symbolic science, free from the physical interpretation of quantity that had previously restricted it. Peacock s Treatise laid the logical foundation for the new science [Read More...]
The rise of Mathematical Logic: from Demonstration to Laws of Thought to Foundations for Mathematics
Revised Nov 2022, Jan 2023 In this article we look at the evolution of logic from its earliest form in the demonstration of truths to the rapid development of mathematical logic in the 1800s at the start of the golden century of logic (1850-1950). We also look at the rise and surprising dashing of [Read More...]
Exploring cuneiform culture (8500-2800 BCE)
This is Part 3 in the Ancient Mathematics series. (To read earlier parts: Part 1: Prehistoric Origins of Mathematics, Part 2: The Mathematics of Uruk and Susa). This article explores what the people of Mesopotamia wrote about, counted and produced in the last part of the fourth millenium BCE. It does so by examining [Read More...]
Forth, Lisp, & Ruby: languages that make it easy to write your own domain specific language (DSL)
Before domain-specific languages (DSLs) and REPL environments (read, execute, print, loop) became fashionable, computing pioneer Charles (Chuck) Moore had built, by 1968, what he viewed as the perfect computer programming language, which he named FORTH (for fourth generation language). What he had kept in view during its creation was an extreme austerity in syntax and [Read More...]
Seven Fields of Computer Programming: A Brief Survey
Written July 7th, 2012, Revised Jan 12th, 2013, Updated extended Jan 25th, 2020 There are at least seven distinct fields of computer programming that have less to do with languages and more to do with the target platform, desired functionality, and intended user. This article provides a short introduction to each, intended as a [Read More...]
The Mathematics of Uruk and Susa (c.3500-3000 BCE)
This is Part 2 in the Ancient Mathematics series. (Part 1: The Prehistoric Origins of Mathematics, Part 3: Exploring Cuneiform Culture 8500-2500 BCE) Summary The written mathematics of ancient Iraq and Iran (Mesopotamia, Khuzistan) developed out of an administrative/bureaucratic program to control the surplus raw and manufactured goods of the settled societies of the [Read More...]
Making Animation from Stills
Hi, my name is Jasmine, and I m 7 years old. Today I made two animated movies, The Basket (1m 18s long) and Snowbell s Accident (2m 23s long) (Nov 2nd, new with audio!) Enjoy! I made these by taking still photographs of the action with my dad s iPhone and then recording an audio soundtrack (for the [Read More...]
How to think about engineered solutions?
Rapid prototyping can be an accelerator for hardware or embedded solutions. But for a successful outcome, follow the recommended checklist / task sequence given below, as all of these steps will likely need to be touched upon at some point in the process. A. Analysis Design Phase 1. What is the problem to [Read More...]
A microcontroller development kit for under £10 (Arduino)
For under £10, you can put together a microcontroller development platform, ready to program directly from your PC over USB using free Arduino software. Once programmed, your microcontroller will run autonomously, untethered from your PC, powered by as small a battery power supply as a single 1.5V AAA or 3V CR2032 coin cell. You can [Read More...]
Everything (Desktop Search)
If you haven t done so already, you may want to start by reading the Preface to the Computing Series: Software as a Force Multiplier, Sections 1-3. Everything you need for ultra-fast desktop search 1. Everything(tm) is an ultra-fast desktop search utility that can scan through hundreds of thousands of files in milliseconds using a pre-built [Read More...]
Notepad++ (Text Editor)
If you haven t done so already, you may want to start by reading the Preface to the Computing Series: Software as a Force Multiplier, Sections 1-3. 1. Notepad++: a programmable, extensible, feature-rich text editor NotePad++ (NPP) is an open-source programmer s text editor with outstanding built-in features that can be further enhanced with powerful plugins [Read More...]