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How is frequency related to pitch? Hear the music we love emerge from pure mathematical beats.

We talk to Stuart Johnston who uses mathematics to find out how noise pollution in the oceans impacts whales.

Generating electricity without the use of fossil fuels is not just an engineering and industrial challenge, it is also a huge mathematical challenge.

In this podcast author Coralie Colmez shares insights into her novel

*The irrational diary of Clara Valentine*.We talk to early career mathematicians who spent some of their summer holiday solving problems posed by industry — such as how to blend a perfect smoothie!

I have already commented on how the above problem could be solved using the linear algebra of a hyperspace of even dimension and a discrete version of the Legendre Transformation involving higher derivatives of the intercept with respect to the gradient in 2D space by the process of a descent to the lower dimension and ascent to the higher dimension without loss of information. It is almost self evident that a successor prime must depend exclusively on its antecedents. [the number two [2] is in an excluded class of its own, itself].

The difficulty I have with the Riemann zeros is that I do not understand their significance in relationship to the sequence: [3, 5, 7, 11, ... ]. Perhaps if the Riemann zeros were computed in a for series where every even number was suppressed, then this would clarify matters.

I have an e-mail address, if someone wants to communicate with me on the matter of hyperspaces, Legendre Transformations and dimension reductions. This is: wpgshaw@hotmail.com