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Laquo; Older Entries. Visualizing Discrete Fourier Coefficients. By bgillespie, on August 22nd, 2010. Over the course of the 2010 University of Georgia REU, we spent an extensive amount of time understanding and applying properties of the discrete Fourier transform to topics in arithmetic combinatorics. In order to get an intuitive idea of what we were really looking at, I wrote a GUI program in Python to visualize the . . . [ Read More. By bgillespie, on August 12th, 2010. The Riemann Hypothesis, a long...

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Epsilon Small | epsilonsmall.com Reviews

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Laquo; Older Entries. Visualizing Discrete Fourier Coefficients. By bgillespie, on August 22nd, 2010. Over the course of the 2010 University of Georgia REU, we spent an extensive amount of time understanding and applying properties of the discrete Fourier transform to topics in arithmetic combinatorics. In order to get an intuitive idea of what we were really looking at, I wrote a GUI program in Python to visualize the . . . [ Read More. By bgillespie, on August 12th, 2010. The Riemann Hypothesis, a long...

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Epsilon Small | epsilonsmall.com Reviews

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Laquo; Older Entries. Visualizing Discrete Fourier Coefficients. By bgillespie, on August 22nd, 2010. Over the course of the 2010 University of Georgia REU, we spent an extensive amount of time understanding and applying properties of the discrete Fourier transform to topics in arithmetic combinatorics. In order to get an intuitive idea of what we were really looking at, I wrote a GUI program in Python to visualize the . . . [ Read More. By bgillespie, on August 12th, 2010. The Riemann Hypothesis, a long...

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Combinatorics « Epsilon Small

http://www.epsilonsmall.com/categories/math/combinatorics

By bgillespie, on August 2nd, 2010. How large can a set of integers be without containing any 3-term arithmetic progressions? German mathematician Felix Behrend provided a construction in 1946 which gave an example of a fairly large set lacking such progressions. The main idea of the work is to use the fact that a line may intersect with a sphere . . . [ Read More. A Dinner Party Problem. By bgillespie, on November 23rd, 2009. To formalize . . . [ Read More. Visualizing Discrete Fourier Coefficients.

2

A Statement of the Riemann Hypothesis « Epsilon Small

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Laquo; Concerning Uncountable Sums. A Statement of the Riemann Hypothesis. By bgillespie, on February 11th, 2010. The Riemann Hypothesis, a longstanding unsolved conjecture in analytic number theory, is considered by many mathematicians to be one of the most important unsolved problems in theoretical mathematics. To understand the statement takes only a typical undergraduate mathematics education, but to find a proof would be the capstone of a mathematical career. The Riemann hypothesis claims that the n...

3

Set Theory « Epsilon Small

http://www.epsilonsmall.com/categories/math/set-theory

By bgillespie, on January 6th, 2010. Sums are a beautiful notion which are sometimes taken for granted. 2 2 = 4, the sum from 1 to infinity of 1/2. Is equal to 1, and so forth. In the case of countably infinite sums, questions of convergence become important. But what happens when you have a sum over uncountably many summands? It [ Read More. Visualizing Discrete Fourier Coefficients. A Statement of the Riemann Hypothesis.

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Visualizing Discrete Fourier Coefficients « Epsilon Small

http://www.epsilonsmall.com/posts/visualizing-discrete-fourier-coefficients

Laquo; On Fourier Pseudorandomness. Visualizing Discrete Fourier Coefficients. By bgillespie, on August 22nd, 2010. Fourier Coefficient Visualizer (ZIP). The Python interpreter with everything you need to run the program is available for free download. On the web. For an introduction to the discrete Fourier transform, see my exposition. On Fourier Pseudorandomness, or check out the detailed but typically excessive article. Let me know what you think in the comments! Laquo; On Fourier Pseudorandomness.

5

Original Exposition « Epsilon Small

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By bgillespie, on August 12th, 2010. As a final project at the 2010 University of Georgia mathematics REU, I wrote a manuscript discussing the properties and meaning of a mathematical notion called Fourier Pseudorandomness, which provides a quantitative measure of the randomness (in some sense) of a finite set of integers. Some of the more involved proofs require a first course . . . [ Read More. By bgillespie, on January 6th, 2010. It [ Read More. A Small Subset of the Reals. Denote the union of all U.

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Distracts Others: April 2015

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Google Drive App for Linux (and Mac). I hate desktop-cloud synchronization applications. Googles Drive Sync application is only available for Mac and Windows. I dont care. I have about two terabytes of files in cloud storage. I have several different machines with very different purposes—desktops, laptops, servers, mobile devices—and I only want to store files locally if Im actually going to use them for something. I need a command line tool. Google, through unofficial channels, has delivered. Don't b...

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Epsilon Small

Laquo; Older Entries. Visualizing Discrete Fourier Coefficients. By bgillespie, on August 22nd, 2010. Over the course of the 2010 University of Georgia REU, we spent an extensive amount of time understanding and applying properties of the discrete Fourier transform to topics in arithmetic combinatorics. In order to get an intuitive idea of what we were really looking at, I wrote a GUI program in Python to visualize the . . . [ Read More. By bgillespie, on August 12th, 2010. The Riemann Hypothesis, a long...

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