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Tag Archives: JavaScript
The Gram-Schmidt Process and Orthogonal Vectors
Suppose I gave you some red fingerpaint and asked you to make all the colors you could from this paint. You’d probably come up with a diverse collection of pinks, reds and burgendys – going through the range of reds … Continue reading
Posted in Examples
Tagged algorithm, basis, gram, gram-schmidt, independent, JavaScript, linear algebra, linearly, math, mathematics, orthogonal, orthonormal, perpendicular, schmidt, script, space, span, vector
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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
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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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
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
Posted in Blog, Examples
Tagged angle, cos, cosine, JavaScript, law, law of cosines, law of sines, learn, learning, math, mathematics, programming, script, sin, sine, triangle
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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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Tagged algorithm, backtracking, column, generation, how to solve sudoku, JavaScript, learn about math, learning, learning about math, make your own sudoku, math, mathematics, play sudoku online free, programming, puzzle, row, script, solutions puzzle, solve, solve sudoku online, solving sudoku, solving sudoku puzzles, sudoku, sudoku answer generator, sudoku games, sudoku maker, sudoku puzzles, sudoku solver, sudoku solver online, sudoku solvers
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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
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
Posted in Blog, Examples
Tagged difference, first, geometric, geometric sequence, JavaScript, math, script, sequence, series, term
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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
Posted in Blog, Examples
Tagged arithmetic, common difference, data, difference, first, JavaScript, learning, list, math, mathematics, script, sequence, sum
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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
Posted in Blog, Examples
Tagged algorithm, equation, JavaScript, learning, linear equations, math, mathematics, script, single variable linear equations, variable
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Fraction Arithmetic
Fraction Arithmetic I hope everyone had a good holiday season. I certainly enjoyed mine. Over this season, I had a chance to speak with some youth and their parents. Funny that whenever we discuss that I have a PhD in … Continue reading
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Tagged addition, algorithm, common denominator, denominator, difference, division, divisors, formula, fraction, JavaScript, learning, math, mathematics, multiplication, numerator, product, quotient, script, subtraction, sum
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