Clayton Ladue Blog

Scientists Discover 'Pure Math' Is Written Into Evolutionary Genetics

Sep 10, 2023 | Clayton Ladue Blog

...nature is a wonderful realm in which to observe beauty born out of mathematical relationships. The natural world provides seemingly endless patterns underpinned by numbers – if we can recognize them.

Unexpected link between pure mathematics and genetics discovered1

Aug 14, 2023 | Clayton Ladue Blog

Number theory finds unexpected applications in science and engineering, from leaf angles that (almost) universally follow the Fibonacci sequence, to modern encryption techniques based on factoring prime numbers.

Bringing the lofty ideas of pure math down to earth

May 11, 2023 | Clayton Ladue Blog

Many popular books on mathematics try to be approachable by talking about stock markets or poker odds.Others wax poetic about prime numbers and the mystery of infinity. Cheng’s books lift readers to the rarefied heights of mathematical abstraction by teaching them category theory, which she believes is the most foundational kind of math.

The Basic Algebra Behind Secret Codes and Space Communication

Jan 24, 2023 | Clayton Ladue Blog

Space exploration requires tremendous precision. Mathematicians have invented ingenious ways to transmit and store information. One surprisingly effective method uses Reed-Solomon codes, which are built on the same basic algebra that students learn in school.

From Systems in Motion, Infinite Patterns Appear

Dec 8, 2022 | Clayton Ladue Blog

Szemerédi proved that any set comprising a positive fraction of the integers must contain arbitrarily long arithmetic progressions. The result was a landmark in the subfield of mathematics called additive combinatorics.


Nov 21, 2022 | Clayton Ladue Blog

The problem with focusing relentlessly on understanding is that math and science students can often grasp essentials of an important idea, but this understanding can quickly slip away without consolidation through practice and repetition.

The Two Forms of Mathematical Beauty

Oct 11, 2022 | Clayton Ladue Blog

It’s tough for nonexperts to see mathematics as beautiful in the first place. Beauty is in the eye of the beholder, sure, but it’s also hard to see when the work of art is hidden in darkness, obscured by an impenetrable cloud of symbols and jargon.

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