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"Probability is the logic of science." There is a deep truth behind this conventional wisdom: probability is the mathematical extension of logic, augmenting our reasoning toolkit with the concept of uncertainty. In-depth exploration of probabilistic thinking incoming.
Always love to talk about non-orientable surfaces in maths lectures. With @geogebra and @revealjs this is way easier… ♾🤓 🔗 dynamicmath.xyz/math2001/chapt… 🔗 geogebra.org/m/ugkhmhf5 #iteachmaths #mobius #surface #escher
there's this really bizarre thing that happens to you when you first start to learn rigorous mathematics, which is that geometry is taken away from you and you have to conduct a series of arcane rituals to get it back. to get back the *pythagorean theorem*, you need to:
Everyone knows that all circles are similar. But did you know that all parabolas are similar? The ratio of the red arc and the blue focal segment is √2 + log(1+√2) = 2.29558... for every parabola. This is the universal parabolic constant, the “π of parabolas”.
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A visual exploration of Diagonalization of Quadratic Forms. Linear Algebra geogebra.org/m/gfcazub5 Made with 💕 in @geogebra
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