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October 15, 2021October 15, 2021 tomrocksmaths

Numberphile – Trapped Water and Tiny Holes

Tom explains why water doesn’t fall through a sieve with small enough holes.

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Our journey across the mathematical universe ends on the Planet of Continuity - a safe haven with no sharp edges. Is the graph above piecewise continuous or not? Catch-up on the full story from TRM intern Charlie as we discover the importance of axioms and how small changes can lead to dramatically different mathematics… Read all articles at tomrocksmaths.com (link on profile) #tomrocksmaths #continuity #continuous

Tattoo #26 - T. rex skull by @nat_von_b based on the fossil @smithsoniannmnh in Washington D. C. With a bite force of 35,000 Newtons, more than 100 times that of a human, an adult T. rex could easily crush a car with its jaw. #tomrocksmaths #trex #trextattoo

Another day, another alien planet to discover... If everything is truly random, how do we interpret probability? And what does this mean for a deterministic universe? Delve into the Realm of Chaos as our journey through the mathematical universe continues with TRM intern Charlie Ahrendts. Images (courtesy of Charleuzere) show two double pendulums which appear to be following the same path initially, before descending into chaos due to a very small difference in their initial trajectory. Find out more at tomrocksmaths.com (link on profile) #tomrocksmaths #chaos #doublependulum

For any maths teachers out there looking for some inspiration to bring technology into the classroom, make sure you check out my talk with @maplemathmatters on Maple Learn. I've found it incredibly useful for bringing to life the Oxford undergraduate calculus course with 3D graphs and interactive exercises - find out how it all works in the video at tomrocksmaths.com (link on profile) #tomrocksmaths #maplesoft #maplelearn

The next stop on our journey into the mathematical universe with TRM intern Charlie is a 4D world where colour gradients are as important as positions in 3D space... Learn about the incredible properties of Quaternions and the story of their discovery by William Hamilton in 1847 at tomrocksmaths.com (link on profile) #tomrocksmaths #quaternions #complexnumbers

The second stop on our journey across the mathematical universe is ‘Fluid Planet’. The whole surface of the gas giant is in a constant state of motion which means partial differential equations (PDEs) are key to modelling this alien world… Find out more about the ‘Heat Equation’ in the latest article from TRM intern Charlie Ahrendts at tomrocksmaths.com (link on profile) #tomrocksmaths #fluiddynamics #heatequation

Tom Rocks Maths

Tom Rocks Maths

Tom Rocks Maths

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