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Solve Problems Using the Pythagorean Theorem
Solve Problems Using the Pythagorean Theorem

Mean conservation for density estimation via
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Chapter 8 Primal-Dual Method and Local Ratio

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Mathematical Programming for Data Mining

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ISM 622 – Midterm Exam Questions

Observations on the Quintic Equation with five unknowns
Observations on the Quintic Equation with five unknowns

... concerns with the problem of determining non-trivial integral solutions of the nonhomogeneous Quintic equation with five unknowns given by x4-y4=37(z2-w2)p3. A few relations between the solutions and the special numbers are presented. ...
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Algebra

... Some students observed that this could be interpreted as “4/3 of A MORE than 1/3 of A,” in other words, 5/3 of A. In this case, A+30 = 5 A / 3, giving A=45. This was judged a reasonable interpretation of the problem and so both answers were allowed. One former mathlete wrote: The issue is whether "4 ...
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Inverse problem

An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating an image in computer tomography, source reconstructing in acoustics, or calculating the density of the Earth from measurements of its gravity field.It is called an inverse problem because it starts with the results and then calculates the causes. This is the inverse of a forward problem, which starts with the causes and then calculates the results.Inverse problems are some of the most important mathematical problems in science and mathematics because they tell us about parameters that we cannot directly observe. They have wide application in optics, radar, acoustics, communication theory, signal processing, medical imaging, computer vision, geophysics, oceanography, astronomy, remote sensing, natural language processing, machine learning, nondestructive testing, and many other fields.
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