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MATHEMATICS WITHOUT BORDERS 2015
MATHEMATICS WITHOUT BORDERS 2015

... remainder which will be a number between 0 and 7. Therefore the greatest number of pairs of numbers among 97, with a difference divisible by 8 is 13. ...
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... that similar unlabeled examples should be given the same classification. In this paper we introduce a new approach to semi-supervised learning that is based on a random field model defined on a weighted graph over the unlabeled and labeled data, where the weights are given in terms of a similarity f ...
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Limitation of Cauchy Function Method in Analysis of Estimators of Frequency and Form of Natural Vibrations of Circular Plate with Variable Thickness and Clamped Edges

... and in order to improve the accuracy of the estimators it was decided to use a higher order, in this case double. Using the bilateral estimators the similar problem arose in the calculation of exact solution in a paper by Conway (Conway 1958a, 1958b). It seems that the problem lies in the fact that ...
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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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