Tag Archives: math

Permutation Problems

I love to play with puzzles. When I was in grade school I would spend hours at a time figuring out ways to solve from things like Tetris, Mindsweeper, Solitare, and Freecell. Later I was introduced to puzzles involving numbers … Continue reading

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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

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Knapsack Problems

I have added a script to help users understand the knapsack problem as well as some attempts at solving it. To help understand this problem, I want you to think about a common situation in many people’s lives. You have … Continue reading

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Triangle Trigonometry

I haven’t forgotten about my pledge to focus more content here towards some of the areas I’ve been asked to tutor on recently. This latest one is designed to help users understand the properties of triangles. It is based on … Continue reading

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Sudoku Program Updates

Here in DC, we recently had an unexpected snow day. By the word unexpected, I don’t mean that the snow wasn’t forecast – it was definitely forecast. It just never came. However due to the forecast I decided to avoid … Continue reading

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The PageRank Algorithm

I think one of the best recent examples of the importance of mathematics is the rise of the search engine Google. I remember the world of search engines before Google and it was dominated by names like AltaVista, Yahoo, WebCrawler, … Continue reading

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The Risk of Competition

I’m not a competitive person. Let me correct that. I try not to be a competitive person. I’ve recently been playing some of my favorite games from childhood like Monopoly, Chess, Spades, and Madden and I’ve been reminded of the … Continue reading

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Geometric Sequences

I’ve added a script which helps to understand geometric sequences. Suppose you were to draw an equilateral triangle on a sheet of paper. It might look something like this: Now suppose that you draw lines connecting the midpoints of each … Continue reading

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Arithmetic Sequences

I’ve added a script which helps to understand arithmetic sequences. At a previous job of mine, there was a policy of holding a dinner party for the company each time we hired a new employee. At these dinners, each employee … Continue reading

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Learn to Solve Single Variable Linear Equations

In keeping with my new years resolution of making this site more accessible to my nieces and nephews, I’ve added a script that generates random single variable linear equations that ask the user to solve for x. The script also … Continue reading

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