Blog Archives

Single variable optimization

January 1, 2011
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Optimization means to seek minima or maxima of a funtion within a given defined domain. If a function reach its maxima or minima, the derivative at that point is approaching to 0. If we apply Newton-Raphson method for root finding to f’, we can get the optimizing f. Read More: 223 Words Totally

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Single variable optimization

January 1, 2011
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Optimization means to seek minima or maxima of a funtion within a given defined domain. If a function reach its maxima or minima, the derivative at that point is approaching to 0. If we apply Newton-Raphson method for root finding to f’, we can get the optimizing f. Read More: 223 Words Totally

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one-dimensional integrals

December 25, 2010
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one-dimensional integrals

The foundamental idea of numerical integration is to estimate the area of the region in the xy-plane bounded by the graph of function f(x). The integral was esimated by divide x to small intervals, then add all the small approximations to give a total approximation. Read More: 468 Words Totally

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one-dimensional integrals

December 25, 2010
By
one-dimensional integrals

The foundamental idea of numerical integration is to estimate the area of the region in the xy-plane bounded by the graph of function f(x). The integral was esimated by divide x to small intervals, then add all the small approximations to give a total approximation. Read More: 468 Words Totally

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Project Euler — Problem 187

December 23, 2010
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http://projecteuler.net/index.php?section=problems&id=187 A composite is a number containing at least two prime factors. For example, 15 = 3 × 5; 9 = 3 × 3; 12 = 2 × 2 × 3. There are ten composites below thirty containing precisely two, not necessarily distinct, prime factors: 4, 6, 9, 10, 14, 15, 21, 22, 25, 26. Read...

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Project Euler — Problem 187

December 23, 2010
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http://projecteuler.net/index.php?section=problems&id=187 A composite is a number containing at least two prime factors. For example, 15 = 3 × 5; 9 = 3 × 3; 12 = 2 × 2 × 3. There are ten composites below thirty containing precisely two, not necessarily distinct, prime factors: 4, 6, 9, 10, 14, 15, 21, 22, 25, 26. Read...

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Root finding

December 4, 2010
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Numerical root finding methods use iteration, producing a sequence of numbers that hopefully converge towards a limits which is a root. In this post, only focus four basic algorithm on root finding, and covers bisection method, fixed point method, Newton-Raphson method, and secant method. Read More: 1896 Words Totally

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Root finding

December 4, 2010
By

Numerical root finding methods use iteration, producing a sequence of numbers that hopefully converge towards a limits which is a root. In this post, only focus four basic algorithm on root finding, and covers bisection method, fixed point method, Newton-Raphson method, and secant method. Read More: 1886 Words Totally

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bubble chart by using ggplot2

December 1, 2010
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bubble chart by using ggplot2

The visualization represented by Hans Rosling’s TED talk was very impressive. FlowingData provides a tutorial on making bubble chart in R. I try to create bubble chart by using ggplot2. With the dataset provided by FlowingData,The bubble chart was made by the following code. Read More: 548 Words Totally

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bubble chart by using ggplot2

December 1, 2010
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bubble chart by using ggplot2

The visualization represented by Hans Rosling’s TED talk was very impressive. FlowingData provides a tutorial on making bubble chart in R. I prefer ggplot2 for graphics.

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