Category Archives: Algebra

Euler’s Equation: A Thing of Great Beauty

A picture showing the equation for Euler's Identity: e^{i Pi} + 1 = 0.
Euler’s Identity

Please take a moment to enjoy this thing of great beauty…  Simple to look at.  Yet incredibly profound.  Does it get any better than this? 

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Waiting for Rosetta to Wake Up…

An artist's impression of the Rosetta spacecraft in outer space. Image: ESA
The Rosetta Spacecraft

January 20, 2014.  500 million miles from Earth.  09:59:58…  09:59:59…  10:00:00 GMT.  After spending two and a half years into deep-space hibernation, Rosetta awakes

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Amazing Grace Hopper

A black and white photograph of a young Grace Hopper.
21st Century Women in Physics and Sciences

At a time when the United Kingdom’s Education System is being put on the spot for encouraging the enduring gender bias in subjects being taught at school, Google celebrates the 107 year-old birthday of Grace Murray Hopper in classic Google Doodlestyle.  That is, Dr Grace Hopper.  Rear Admiral Grace Murray Hopper.  “Amazing Grace” Hopper. 

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The Law of Conservation of Energy: Life’s a Roller Coaster!

A photograph showing buddhist monks enjoying the scary thrills of a roller coaster ride. The Law of Conservation of Energy: Life's a roller coaster! - NaturPhilosophie
What is Energy?

And what does the Law of Conservation of Energy actually mean?  In science and Nature, the word ‘energy’ conjures up a wealth of images associated with speed of movement, activity and work.  Energy does appear in many guises.  Even matter is a form of energy.  Actually, everything in the Universe is nothing more than energy in one form or another… 

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Revisiting the Millikan Experiment – What’s in an Oil Drop?

A droplet of oil just falling into a little yellow pool.
A Historical Experiment

In 1909, physics pioneers Robert Millikan (1868-1953) and Harvey Fletcher (1884-1981) performed an experiment that would ultimately enable them to determine one of the most fundamental of all physical constants: the elementary electric charge, i.e. the electric charge of an individual electron – the constant e

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Strings + A Capella = “Bohemian Gravity”?

Bohemian Gravity: "Any way you quantize, you encounter infinity."
Describing The World Dynamics So Far

According to the current understanding of Physics, there is as yet no uniform field theory.  No all-encompassing well-rounded theory that would enable all the known fundamental forces and elementary particles to fit neatly into one simple model, and to be expressed in terms of a single field.

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“Pow”! “Bang”! The Physics of Superheroes

A photograph showing a few frames of a Marvel superheroes comic book. Two masked superheroes - one wearing a red outfit and the other one with a green outfit - are flying through space. The captions read: Red Man "You can open your eyes now. There they are." Green man "Wait. I'm confused. If we're smaller than light particles now. How are we even seeing?" Red Man "You're not... Not in any human way. The five senses become something else entirely at this quantum level. Your mind's doing you a favour. It's processing all this into familiar visuals so you won't go insane. By the way, you're not breathing oxygen either. It's best not to think about it." Green Man "No kidding." Superheroes smaller than photon-life.
Physics meets Comic-Book Superheroes

The Physics of Superheroes is a popular science book by  James Kakalios, a Physics professor at the School of Physics and Astronomy of the University of Minnesota, and a long-time comic-book fan.  First published in 2005, the book explores the elementary laws of physics.

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The Field Equations of General Relativity

An artist's impression of the Earth's gravity field as described in Einstein's General Relativity.

Keeping It Relatively Simple

The Einstein Field Equations of General Relativity are vast and complex, but they can be written with deceptive simplicity. 

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60-Second Adventures in Thought

A picture illustrating the Hilbert's Infinite Hotel. Image: The Open University
6 Short Videos about the Philosophy of Maths and Science

The Open University has created a series of 6 short animated iTunes videos about the Philosophy behind Maths and Science.  A real treat.  And it’s educational too!  If you have only 60 seconds, you can now learn how we rationalise the abstract concepts at the root of everything there is to know about matter, energy, life, the Universe and everything…

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60-Second Hilarious Adventures in Astronomy

A slide picture from 60 seconds in Astronomy, showing English astronomer on holiday. Image: The Open University
12 Short Videos about the Physics of the Cosmos

The Open University has teamed up with “geek chic” comedian David Mitchell to release a series of 12 short animated YouTube videos about the Physics of the Cosmos: “60-Second Adventures in Astronomy”.  A real treat.  And it’s educational!  If you have only 60 seconds, you can now learn everything we know about matter, energy, life, the Universe and everything…

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