Chapter 16: The Killing Form: A Powerful Insight into Global Lie Group...
The Killing Form is named after Wilhelm Killing (1847 – 1923), thus explaining its otherwise startling (for English speakers) name. Riemannian geometry even has Killing Fields, i.e. vector fields whose...
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Chapter 17: Parallel Parking a Car
Our first example of Lie Theoretic Systems Theory will be how we parallel park a car. We shall use this to illustrate Theorem 13.4. Overview A car cannot drive out of a tight parallel park as the...
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Chapter 18: Of Cats and Their Most Wonderful Righting Reflex
Our second Lie Theoretic Systems Theory example is the theoretical physics of how a cat flips over to land on its feet when it falls, even though there are no torques on it and angular momentum must be...
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Chapter 19: Generalised Space Curves, Coupled Waveguides and Quantum State...
We conclude our study of elementary Lie Theoretic Systems Theory with an exposition on a class of problems to do with the generalised Frenet-Serret equations for space curves in $\mathbb{C}^N$ and...
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Let’s Leave Home!
This activity asks children to think about what drives a rocket, how hard it is to leave our Earthly home in any grand scale through rocket technology, and also to think about what it might be like to...
View ArticleAn Open Letter to the CEO Whitehorse City Council December 2014
To: Ms. Noelene Duff, CEO, Whitehorse Council From: Vance, R. W. C. Mr; 54 Main Street Blackburn 3130 Date: Tuesday, 16th December, 2014 Cc: Full Board of Councillors, Whitehorse...
View ArticleAn Open Letter to the Minister for Local Government
To: Hon. Natalie Hutchins, MP, Minister for Local Government and member for Keilor, Parliament of Victoria From: Rod Vance, 54 Main Street Blackburn 3130 Date: Tuesday, 16th December, 2014...
View ArticleOur Dysfunctional Governments in Australia and Especially Victoria
First a note on this site’s ownership. The sad plight of Australia means that I am forbidden to publish most of what I want to say here on Australian soil. This site is owned by Little Bairns LLC...
View ArticleAn Open Letter to the Federal Treasurer June 2014
Dear Mr. Hockey I should like to speak to you as one company director to another on the matter of your recent “budget” and in the matters of language. Your Budget I do not dispute that a land should...
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Of Galileo, Groups and What’s So Special about the Speed of Light
When I was ten years old, I first read about Einstein’s famous, but non-general, equation $E=m\,c^2$. The American childrens series “How and Why Wonder Books” number 5015 “Atomic Energy” naturally...
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