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A combinatorial lemma on Young tabloids
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Why irreducible representations are orthogonal
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Independent vectors and bases: a fun mental exercise for your next walk
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Confusion about imperfect differentials and state variables in thermodynamics
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Direct sum versus Cartesian product versus tensor product of vector spaces
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Visualizing stochastic processes and martingales
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A quantum mechanics inspired perspective on our human experience
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Intuition for filtrations in stochastic processes
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Dual of a dual space
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Confusion about conditional probabilities
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A step-by-step explanation of how EM (expectation-maximization) is used for training a generative AI model
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Expected value is the same as (Lebesgue) integration
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Brownian motion and time travel
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Filtration and Information
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Free energy: why it's useful
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Free Energy, Part II
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Free Energy, Part I
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Where Startups Have a Right to Innovate
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Confusion about thermodynamics partial derivatives
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Confusion about martingales in stochastic processes
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The second law of thermodynamics and why entropy must increase!
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Jekyll server running in a container on a Mac with Apple silicon
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Entropy is a state variable!
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The beauty of the thermodynamic temperature scale
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Carnot heat engines and reversibility
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APIs for chemistry and biology
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Making sense of the metric versus the coordinate transformation
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Confusion regarding tensors and transformations
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Quantum mechanics and biology
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R1CS: A Day in the Life of a few Equations
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An Optics Renaissance
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What I learned from Terry Tao's paper on differential forms and integration
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Learning math and physics by being confused