mathoperators

How to Tell Operations, Operators, Functionals and Representations Apart

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All these concepts belong to the toolbox of physicists. I read…
geometrysimple

Simple Geometry, Deep Math

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Introduction It is a remarkable fact that consideration of…
representations

Representations and Why Precision is Important

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First of all: What is a representation? It is the description…
angledimensions

Can Angles be Assigned a Dimension?

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1. Some Background on Dimensional Analysis ... if you are…
groupsandgeometry

Groups and Geometry

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There is a very deep link between group theory and geometry.…
computers

Friends, Strangers, 7825 and Computers

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This insight will be about Ramsey theory. Ramsey theory has its…
logicp3

Scientific Inference P3: Balancing Predictive Success with Falsifiability

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  Bayes' Theorem: Balancing predictive success with…
encryption

Perfect Secrecy and the Unbreakable Cipher

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Is it possible to design an unbreakable cipher? Do methods of…
cipher

The Monographic Substitution Cipher: From Julius Caesar to the KGB

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A monographic substitution cipher works by replacing individual…
complexmath

The Case for Learning Complex Math

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Resistance to complex math seems to never die out.  I see it…
complexnumbers

Things Which Can Go Wrong with Complex Numbers

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At the first sight, there are many paradoxes in complex number…
MillenniumPrize

The Millennium Prize Problems: Part I

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In this Insight, I will go over the background information…
physicsturnedmath

Trials and Tribulations of a Physicist who Became a Math Geek

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How did I go from the brink of changing my major from physics…
math obvious

Math and the Obvious

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My #1 goal, when I teach a math class, is to convey a certain…
subway

A Brachistochrone Subway Is Not a Cost-effective Idea

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It is apparent that a subway tunnel could be built without the…