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pasmith's latest activity
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pasmith
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Non-orthogonal bases
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A lot o numerical analysis involves dealing with spaces of polynomials of degree at most $$N$$ on $$[-1,1]$$. There are various families...
Sep 24, 2025
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pasmith
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Family of lines that are at a distance of 5 from the origin
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The equation of a line in ##\mathbb{R}^2## can be written as $$\mathbf{n} \cdot (\mathbf{x} - \mathbf{x}_0) = 0$$ where ##\mathbf{x}_0##...
Sep 9, 2025
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pasmith
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Modeling a graph that shows age in relation to depth of an ice sample
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You can use linear interpolation between the data points. Between z_i and z_{i+1} that gives you \int_{z_i}^z \frac{1}{\lambda(z)}\,dz =...
Sep 2, 2025
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pasmith
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Can one find a matrix that's 'unique' to a collection of eigenvectors?
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Yes, where D is a Jordan normal form, ie. the expression of the map with respect to a basis of (generalized) eigenvectors \{v_1, \dots...
Jul 28, 2025
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pasmith
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Should the boundary condition have to satisfy dimensional consistency?
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For the purpose of this exercise, does it make a difference to the mathematical analysis if the boundary condition is the dimensionally...
Jul 24, 2025
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