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Notational Notions | confessions of a mathoholic | lydianrain.wordpress.com Reviews
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confessions of a mathoholic
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About | Notational Notions
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Confessions of a mathoholic. Math ronin, no present academic affiliation. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). You are commenting using your WordPress.com account. ( Log Out. You are commenting using your Twitter account. ( Log Out. You are commenting using your Facebook account. ( Log Out. You are commenting using your Google account. ( Log Out. Notify me of new comments via email.
The “Injectivity Implies Surjectivity” Trick | Notational Notions
https://lydianrain.wordpress.com/2008/10/18/the-“injectivity-implies-surjectivity”-trick
Confessions of a mathoholic. The Injectivity Implies Surjectivity Trick. There is a standard proof technique involving the relationship between injectivity and surjectivity on finite structures. I rather like it for the examples provided, it is very difficult to proceed without knowing the trick, even though the solutions are very simple. Is a finite set and. Is a function, then. Is injective if and only if. Is a finite field and. Is a homomorphism of fields, then. Is an ideal of. But it cannot equal.
October | 2008 | Notational Notions
https://lydianrain.wordpress.com/2008/10
Confessions of a mathoholic. The Injectivity Implies Surjectivity Trick. October 18, 2008. There is a standard proof technique involving the relationship between injectivity and surjectivity on finite structures. I rather like it for the examples provided, it is very difficult to proceed without knowing the trick, even though the solutions are very simple. Is a finite set and. Is a function, then. Is injective if and only if. Is a finite field and. Is a homomorphism of fields, then. Is an ideal of. For a...
All About (regular) n-gons—session at the Berkeley Math Circle | Notational Notions
https://lydianrain.wordpress.com/2008/12/21/all-about-regular-n-gons—session-at-the-berkeley-math-circle
Confessions of a mathoholic. All About (regular) n-gons session at the Berkeley Math Circle. Last Tuesday I gave a talk at the Berkeley Math Circle. Titled “All About (regular) n-gons”. This was a sort of problem seminar that covered a mixed bag of mathematical tricks, but one focus was the use of complex numbers in geometry. You can download my handout here. 8221; is much more difficult than it appears at first; it was first answered in closed form by Poonen and Rubenstein. What are all the values of.
The Group of Units (mod n) | Notational Notions
https://lydianrain.wordpress.com/2008/11/24/the-group-of-units-mod-n
Confessions of a mathoholic. The Group of Units (mod n). Is more interesting than it is often given credit for. This post will tell you the isomorphism type of its group of units. Why care about such a simple thing? Well first, the rings. Are universal, in the following sense. If. Is any ring with unity, there exists a unique. Here is called the. It’s easy to find this homomorphism: there is a natural map. And we factor out its kernel (which is of the form. Being a principal ideal domain. Is actually the...
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Defense Against the Dark Arts: the Reverse Regression Effect | Concrete Nonsense
https://concretenonsense.wordpress.com/2013/02/16/defense-against-the-dark-arts-the-reverse-regression-effect
A group blog about mathematics. February 16, 2013. Defense Against the Dark Arts: the Reverse Regression Effect. After leaving you indignant and disappointed, a blue activist tells you that according to another study, for every salary level, green men are less educated than blue men, a clear sign of discrimination against the blues — why should blue men study harder in school than green men to get the same rewards for their work? In particular, the paper referenced was Goldberger’s 1984 paper. I’ve...
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FindStat | Concrete Nonsense
https://concretenonsense.wordpress.com/2012/08/12/findstat
A group blog about mathematics. August 12, 2012. In addition to the usual array of excellent talks and posters. This year, there was a presentation. By Chris Berg and Christian Stump on their new combinatorial statistic finder FindStat. It’s intended to serve as a sort of OEIS. Laquo; PRIMES 2012. On Distances and Codes. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). Notify me of new comments via email.
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On Distances and Codes | Concrete Nonsense
https://concretenonsense.wordpress.com/2012/12/09/on-distances-and-codes
A group blog about mathematics. December 9, 2012. On Distances and Codes. The following construction came up: given a code of. Apologies to Henry for forgetting the actual name, but I think this is a natural name to use) vector of pairwise distances between ordered pairs of codewords, such that. Is the number of pairs of points with distance. Small digression: I personally find this concept similar to the weight enumerators in codes, which are generating functions that capture the weights (number of.
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Notational Notions | confessions of a mathoholic
Confessions of a mathoholic. Every Finite Division Ring Is A Field. January 12, 2009. The Ring of Quaternions:. Consider the ring of quaternions. We define multiplication with the identities. We have the identity. So in particular every nonzero element is invertible, making. 8220;almost” a field. But multiplication is clearly not commutative. In which every nonzero element has an inverse, is called a division ring. (or sometimes a division. All fields are division rings. One interesting observation about.
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Sanyu means Joy | Writing my way through life
Writing my way through life. Posted in Joyous stuff. Note in order to do the same thing I had wanted to do: to ease the change situation. I gave it to her and then from nowhere began to feel bad. I had done my part not to make the driver suffer and now it was reversed because of Madam Neighbour. Then I became angry: why doesn’t this ki taxi have a conductor anyway? I mean, I had seen her sit there in the conductor’s place, and no other conductor had come in. How hadn’t it occured to me? The conductress b...
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