Snarky Puzzle Answers 3

What is exciting to me is that I am asking questions and developing answers. I want to emphasize the plural. This is not a one trick pony (quaternions can do 3D rotations and nothing else of interest). Many different topics are being raised and looked at from odd angles. I didn’t have a plan to write these puzzles, but am glad they emerged from the blog writing process. Now back to the questions and their answers. The best field theory we have is the Maxwell equations. The symmetry that goes hand-in-hand with the conservation of electric charge is the unitary group U(1), complex numbers with a norm of 1. The Lie algebra u(1) needs only one complex number to do the job. Time squared plus space squared equals one, simple as that. Life is linear in time. Squaring time is outside our experience. A computer can deal with squared time easy enough. There are two spheres on the screen at all times, a sign of spatial symmetry. The spheres end as the started, a sign of time symmetry. When the two spheres are farthest apart, that marks time = 0, or now. The spatial origin is always halfway between the two spheres. Note how the complex plane circle is a circle only in the Right/Left+time complex plane. This no longer looks like a circle in the complex plane. One can pinpoint the origin as before: time zero happens when the points are farthest apart, and the spatial origin will be the halfway point at that moment. Spatial symmetry is only preserved if one moves the mirror which would happen with a Lorentz boost. Time symmetry is broken because where the animation ends is not where it begins. What they say is if you have two of these, then the third one comes for free. With the quaternion representation, if you have one, you get the other two. Take the symplectic group. Quaternions are a normed division algebra: multiplying the norms of a, b, c separately give you the same as forming the product, then calculating the norm. This means that A must have the norm of one. When the norm is one, the transpose equals the inverse. Fini. My first international conference was in Rome in 1999. The second guy to speak - meaning he was important - started to talk about quaternion analysis. He described the problem brilliantly. I was getting so excited. The ability to do quaternion analysis is vital to any robust assault on the accounting system of physics. He started to describe his own approach. It used left-handed derivatives. Yuck. The more he went on, the madder I got.

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Snarky Puzzle Answers 3

For my blogs, ones with the fewest views include “Snarky Puzzle Answers”, and “Snarky Puzzle Answers 2”. Do I have high expectations for SPA 3, Revenge of the Nerds? Nope, I expect the community to be consistent. This is an observation, not a complaint



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Algebra 2 Answers - Bookshelf

Algebra 2/Trigonometry

Algebra 2/Trigonometry

Presents past Regents exams on algebra and trigonometry, offers explanations of right and wrong answers, and reviews general concepts in the subjects.

Algebra II

Algebra II

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CliffsNotes Algebra II Practice Pack

CliffsNotes Algebra II Practice Pack

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Let's Review Algebra 2/Trigonometry

Let's Review Algebra 2/Trigonometry

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Algebra II for Dummies

Algebra II for Dummies

The algebra leads you to the solutions — but beware the false promises. ... A power of one indicates only one possible solution (see Chapter 2). ...

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