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Tag Archives: ODE’s
My sister isn’t “irrational”, her utility function just has large interaction terms.
What happens if, instead of doing a linear regression with sums of monomial terms, you do the complete opposite? Instead of regressing the phenomenon against , you regressed the phenomenon against an explanation like ? I first thought of this question several years ago whilst living … Continue reading
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Tagged bad day, catastrophe theory, complexity, econometrics, emotions, feminism, good day, holism, mappings, mathematical modelling, mathematics, ODE's, operators, parsimony, psychology, reductionism, regression, regression analysis, separability, separation of variables, simplicity, statistics, tipping points, utility theory
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A beautiful depiction of a 1form by Robert Ghrist. You never thought understanding a 1→1dimensional ODE (or a 1D vector field) would be so easy! What his drawing makes obvious, is that images of Phase Space wear a totally different meaning … Continue reading
How to multiply matrices
This is for my homies in math class. Mathematical matrices are blocks of numbers, arrayed in 2D. (Higherdimensional arrays are called tensors.) Left “times” right equals target. Each entry in the target is the result of a series of +’s … Continue reading
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Tagged 2D, angle, array, econometrics, inner product, linear algebra, linear operators, math, mathematics, maths, matrices, matrix multiplication, numbers, ODE's, operators, systems of differential equations, tensor, vectors
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Laplace Transform
The LaPlace Transform is simpler than I thought. It’s just the continuous version of a power series. Think of a power seriesas mapping a sequence of constants to a function.Well, it does, after all. Then turn the ∑ into a … Continue reading
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Tagged calculus, differential equations, Laplace transform, math, mathematics, maths, ODE's, power series, science, spectral analysis
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