Tag Archives: mathematics

Kinetic wave sculptures

Reuben Margolin, a Bay Area visionary and longtime maker, creates totally singular techno-kinetic wave sculptures. Using everything from wood to cardboard to found and salvaged objects, Reubens artwork is diverse, with sculptures ranging from tiny to looming, motorized to hand-cranked. Focusing on natural elements like a discrete water droplet or a powerful ocean eddy, his work is elegant and hypnotic. Also, learn how ocean waves can power our future.

Maker Profile – Kinetic Wave Sculptures on MAKE: television

Nice pieces of art.

Proving Fermat’s Last Theorem

Fermat’s last theorem is strikingly different and much more difficult to prove than the analogous problem for n = 2… The fact that the problem’s statement is understandable by schoolchildren makes it all the more frustrating, and it has probably generated more incorrect proofs than any other problem in the history of mathematics. No correct proof was found for 357 years, when a proof was finally published by Andrew Wiles in 1994. The term “last theorem” resulted because all the other theorems proposed by Fermat were eventually proved or disproved, either by his own proofs or by other mathematicians, in the two centuries following their proposition.”

Fermat claims to have proven it in his letter:

Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et generaliter nullam in infinitum ultra quadratum potestatem in duos eiusdem nominis fas est dividere cuius rei demonstrationem mirabilem sane detexi. Hanc marginis exiguitas non caperet.

Translated:

I have discovered a truly marvelous proof that it is impossible to separate a cube into two cubes, or a fourth power into two fourth powers, or in general, any power higher than the second into two like powers. This margin is too narrow to contain it.

Right. Andrew Wiles has successfully proven the last theorem with techniques not made available to Fermat during his time. Fermat’s proof probably never existed.

Fermat’s Last Theorem Part 1

Continue reading “Proving Fermat’s Last Theorem” »

Here’s another excuse to eat chocolate

Eating chocolate could improve the brain’s ability to do maths, a new study gives chocolate lovers more excuse to stay with their diet.

How eating chocolate can help improve your maths

Mental arithmetic became easier after volunteers had been given large amounts of compounds found in chocolate, called flavanols, in a hot cocoa drink.

They were also less likely to feel tired or mentally drained, the findings, presented at the British Psychological Society annual conference in Brighton show.

Prof David Kennedy, director of the brain, performance and nutrition research centre at Northumbria University, and a co-author of the study, said that chocolate could be beneficial for mentally challenging tasks.

The findings suggest students who binge on chocolate when revising for exams may gain a real benefit from doing so.

The findings also show that the volunteers did not get as tired doing the calculations if they had been given the cocoa drink, despite being asked to do them over and over for an hour.

The researchers gave the volunteers a total of 500mg of flavanol. Although the amount was too great to be found naturally in the diet, researchers said that people should ensure that they have lots of flavanols, also found in fruit and vegetables, on a regular basis.

Emma Wightman, one of the study’s lead researchers, said: “You can get bars of chocolate that have 100mg of flavanol, and we are also going to look at the effect of lower doses of flavanol on the brain.”

Dark chocolate contains higher quantaties of the chemical than plain or milk chocolate.

Prof Kennedy added: “The amount that you are giving is more than in the diet but there is quite a lot of evidence that general amounts are protective against declining function and that kind of thing.

“The more fruit and vegetables and things that are high in polyphenols the better that is for your brain in the long run.” (Source: Telegraph)

I love dark chocolates, love the rich cocoa aroma.