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Tag Archives: set theory
Approximating the Set Cover Problem
I just finished my weekly task of shopping for groceries. This can be a somewhat daunting task because I generally have a list of things that I’ll need which cannot all be purchased at a single location. What often happens … Continue reading
Posted in Blog, Examples
Tagged algorithm, algorithms, animation, approximation, computer science, greedy, integer programming, JavaScript, learning, linear programming, math, mathematics, operations research, probability, programming, randomized, research, rounding, script, search, set cover, set theory, sort
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Learn About “the Other” Algebra
When I visit family for the holidays, the topic of my being a mathematician always seems to come up, and there’s always a child in the family struggling with maths, and when I ask the subject of their struggles the … Continue reading
Posted in Blog, Examples
Tagged abstract algebra, associative, binary, binary operatot, calculator, closed, cyclic, group, group theory, groups, identity, inverse, JavaScript, math, mathematics, maths, modern algebra, operator, order, script, set, set theory
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Understanding Bayes’ Theorem
I’ve finished a script that helps understand Bayes’ Theorem. If we have a set of mutually exclusive (aka non-overlapping) sets Bi for i {0, 1, 2, …, n} for some integer n, then the union of these sets forms a … Continue reading
Posted in Blog, Examples
Tagged bayes, bayes theorem, causation, cause, conditional, conditional probability, event, exclusive, intersect, JavaScript, learning, machine learning, math, mathematics, mutually exclusive, probability, script, set, set theory, theory, union
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Learning Math through Set Theory
In grade school, we’re taught that math is about numbers. When we get to college (the ones of us who are still interested in math), we’re taught that mathematics is about sets, operations on sets and properties of those sets. … Continue reading
Posted in Blog, Examples
Tagged Cartesian product, compliment, difference, intersection, learning, math, operations, product, set, set theory, symmetric difference, theory, union
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