Category Archives: Algebra

Thermodynamics and Entropy – Our Irreversible Universe

A photographic montage representing entropy, shown a dropped china tea cup being broken down on impact.
Irreversibility

A friend of mine once casually asked me over a drink: “What is entropy?”  Eeek!  Interesting concept.  But…  How do you define entropy in a non-mathematical way?  How can you sum up entropy in 30 seconds?  In one mental image.  In a single concept…  In one word.  A form of energy?  A measure of disorder in the Universe?  Randomness?  All of the above?  Tricky question.  And then, I dropped my glass…

Continue reading Thermodynamics and Entropy – Our Irreversible Universe

The Ion Propulsion System – What the… #!$@*!!

Four different ion thrusters. Source: Michigan Technological University (MIT)
“That’s Star Trek stuff!”

… is pretty much the bemused reaction you’ll get if you allow yourself to answer casual questions about science over a drink with a non-physicist.  AB-SO-LUTE disbelief.  Your fault!  Shouldn’t have gone there…  Pretend you didn’t hear the question…  Especially if the answer is ion propulsion!  

Continue reading The Ion Propulsion System – What the… #!$@*!!

Ebola NOW! The Exponential Growth of a Deadly Outbreak

A photograph showing one of the containment-suited Ebola doctors caring for a yound victim of the illness during the Liberia epidemic in 2014.
The Ebola Crisis is Growing Exponentially

“The West Africans are scared” said Ban Ki-moon at a meeting of the United Nations in Washington U.S., discussing the growing threat of Ebola.  And you could feel the sense of urgency as World leaders discussed the Ebola crisis.  Not enough money has been put forward to tackle the disease.  We are late in our response.  And the clock is ticking…  

Continue reading Ebola NOW! The Exponential Growth of a Deadly Outbreak

The Perfect Hollandaise Sauce – More Science in the Kitchen…

A photograph showing the classic (and ever so delicious) "There goes my diet" eggs Benedict!
Make the Perfect Hollandaise Sauce

Eggs Benedict!  The perfect breakfast item.  Probably.  If both you and I love this indulgent breakfast staple, it’s down to that wonderful creamy and tangy garnish that is really the glue that holds the eggs benedict together.  The perfect Hollandaise sauce…

Continue reading The Perfect Hollandaise Sauce – More Science in the Kitchen…

Scotland’s Quiet Revolutions – One Nation with Sovereign Achievements… and a Pure Dead Brilliant Future!

A photograph of the countryside north of Glasgow - sheep grazing. Image: NaturPhilosophie

Scotland’s Quiet Revolutions

It seems quiet at first, and even dull.  Not much happening…  Dreich, as one might say!  Sad.  Grim.  Bleak.  Not much to do…  Not much to see here…  Just sheep…  But wait!!  Look closer!  Is that Dolly in this field?  Now, that’s interesting!  Oh, Aye, we’re in Scotland!  It changes EVERYTHING… 

Continue reading Scotland’s Quiet Revolutions – One Nation with Sovereign Achievements… and a Pure Dead Brilliant Future!

Satellite of Love – It’s Up, Up and Away for Scotland’s UKube-1

An artist's impression of the new Scotland UKube-1 micro-satellite in orbit around Earth.
Scotland’s First Nano-Satellite

Earlier this month, UKube-1, a satellite built by Glasgow-based technology firm Clyde Space, successfully launched on a test flight from Baikonur, Kazakhstan.  It is the first ever spacecraft to be fully assembled in Scotland.

Continue reading Satellite of Love – It’s Up, Up and Away for Scotland’s UKube-1

Calculating Entropy – The Energy of Change

A drawing showing a snowflake of Ice melting into molecules of water. From order to disorder, there is only entropy.
It’s About Heat and Temperature

What is the difference between heat and temperature?  Heat is thermal energy.  Temperature is a measurement of the average kinetic energy of the particles which compose the matter being tested.  When heat flows into a material, one of two things happen: either the temperature of the material can rise, or there may be a change in its state (such as from ice to liquid, or liquid to vapour).

Continue reading Calculating Entropy – The Energy of Change

Colossal Genius: Alan Turing

A black and white portrait of Alan Turing - the man behind the Enigma decryption.
60 Years Hence

Today’s the 60th Anniversary of the Death of Alan Turing – a genial mathematician, a cryptographer and one of the pioneers of computer science at Bletchley Park.  He is considered one of the greatest minds of the 20th Century.  Alan Turing‘s life was one of complexity and secret triumphs, overshadowed by a very public tragedy. 

Continue reading Colossal Genius: Alan Turing

Up Archimedes! – The Principle of Buoyancy

A photograph showing a huge mass of helium balloons carrying their human payload up into the sunset sky. Image: Jonathan Frappe
Archimedes’ Principle and Helium Balloons

Buoyancy is the upward force exerted by a fluid that opposes the weight of an object immersed in a particular substance.  Essentially, this is what Archimedes (c.287212 BC) observed when he stated that:

Continue reading Up Archimedes! – The Principle of Buoyancy

Fibonacci’s Golden Spiral – The Relationship between Maths and Nature

A close-up photograph of a cross section through a Nautilus shell showing that the Fibonacci sequence can be found everywhere in Nature.
The Language of Nature

They are found everywhere in Nature.  From the leaf arrangement in plants, to the pattern of the petals of a flower, the bracts of a pine cone, or the scales of a pineapple.  The Fibonacci numbers are applicable to the growth of every living thing: a single cell, a grain of wheat, a hive of bees, all of mankind.  From sunflowers to sea shells, the same recurrent mathematical pattern can be observed in Nature, again, and again, and again… 

Continue reading Fibonacci’s Golden Spiral – The Relationship between Maths and Nature