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Rigorous Trivialities

AG from the Beginning. February 16, 2015. Ok, time to get back to Riemann surfaces! We’ve been all about hyperbolic surfaces, and so first let’s compare the two of them: every oriented hyperbolic surface is a Riemann surface, and the conformal class of a complex structure contains a unique hyperbolic metric. Continue reading →. February 8, 2015. Continue reading →. Mapping Class Group Elements. January 19, 2015. Continue reading →. The Mapping Class Group. January 14, 2015. Continue reading →. Ok, with t...

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Rigorous Trivialities | rigtriv.wordpress.com Reviews

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AG from the Beginning. February 16, 2015. Ok, time to get back to Riemann surfaces! We’ve been all about hyperbolic surfaces, and so first let’s compare the two of them: every oriented hyperbolic surface is a Riemann surface, and the conformal class of a complex structure contains a unique hyperbolic metric. Continue reading →. February 8, 2015. Continue reading →. Mapping Class Group Elements. January 19, 2015. Continue reading →. The Mapping Class Group. January 14, 2015. Continue reading →. Ok, with t...

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Rigorous Trivialities | rigtriv.wordpress.com Reviews

https://rigtriv.wordpress.com

AG from the Beginning. February 16, 2015. Ok, time to get back to Riemann surfaces! We’ve been all about hyperbolic surfaces, and so first let’s compare the two of them: every oriented hyperbolic surface is a Riemann surface, and the conformal class of a complex structure contains a unique hyperbolic metric. Continue reading →. February 8, 2015. Continue reading →. Mapping Class Group Elements. January 19, 2015. Continue reading →. The Mapping Class Group. January 14, 2015. Continue reading →. Ok, with t...

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MaBloWriMo | Rigorous Trivialities

https://rigtriv.wordpress.com/mablowrimo

AG from the Beginning. Here’s a list of blogs (that I’m aware of, comment if I missed you! Who are participating in MaBloWriMo. Charles Siegel, here at Rigorous Trivialities. Akhil Mathew at Delta Epsilons. Qiaochu Yuan at Annoying Precision. Harrison Brown at Portrait of the Mathematician. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Email (Address never made public). You are commenting using your WordPress.com account. ( Log Out. Dung Hoan...

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Fenchel-Nielsen Coordinates | Rigorous Trivialities

https://rigtriv.wordpress.com/2015/01/05/fenchel-nielsen-coordinates

AG from the Beginning. The Mapping Class Group →. January 5, 2015. Welcome back, and hope all you readers had a good 2014 and particularly good holidays and new year’s celebrations, if you do those things. Today, we’re going to keep on the road to producing the moduli space of curves, by nailing down some more hyperbolic geometry. Secretly knowing the answer to what the dimension of the moduli space is (over the reals, it’s. For any triple of positive numbers. However, we don’t want to try to direc...

3

Hyperbolic Surfaces | Rigorous Trivialities

https://rigtriv.wordpress.com/2014/12/17/hyperbolic-surfaces

AG from the Beginning. Fenchel-Nielsen Coordinates →. December 17, 2014. Ok, with the hyperbolic plane and its metric and geodesics out of the way, we can start getting into some surface theory. Hyperbolic surface of genus g. Is a topological surface of genus g along with a metric that is locally isometric to the hyperbolic plane. Equivalently, it has a Riemannian metric of constant curvature -1. A key observation, that isn’t particularly difficult, is that each free homotopy class of curves on. Represen...

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Quasiconformal Maps | Rigorous Trivialities

https://rigtriv.wordpress.com/2015/02/16/quasiconformal-maps

AG from the Beginning. February 16, 2015. Ok, time to get back to Riemann surfaces! We’ve been all about hyperbolic surfaces, and so first let’s compare the two of them: every oriented hyperbolic surface is a Riemann surface, and the conformal class of a complex structure contains a unique hyperbolic metric. So now, we’ll start looking at the geometry of Teichmüller space. One of the main tools there is the notion of a. Be Riemann surfaces. Let. Of points, and we assume that. So what can we do with this?

5

AG from the Beginning | Rigorous Trivialities

https://rigtriv.wordpress.com/ag-from-the-beginning

AG from the Beginning. AG from the Beginning. Here’s an index of all of the AG from the Beginning articles. I reordered a little bit for coherent topics, and don’t THINK that I screwed up any dependencies (ie, anything should be understood in terms of things higher up on the page than it), but if I did, let me know and I’ll fix it. Some Commutative Algebra and a bit of Geometry. Varieties over other Fields. Gradings on Rings and Modules. Grassmannians and Flag Varieties. Tangent Spaces and Singular Points.

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fashionablemathematician - mathematics: GRE Math Quick Review: Conversions

http://fashionablemathematicianmath.blogspot.com/2008/06/gre-math-quick-review-conversions.html

This blog has closed. Follow me to 3stylelife. Thursday, June 19, 2008. GRE Math Quick Review: Conversions. Rounding out the subseries on fractions, decimals, and percentages, this document covers how to convert between the three forms and offers advice on how to approach problems with such conversions. Exercises, solutions, and explanations at the end, as always. You can access the document below:. GRE Math Quick Review: Conversions. September 2, 2008 at 10:16 AM. September 2, 2008 at 10:18 AM. Nine Cha...

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fashionablemathematician - mathematics: August 2008

http://fashionablemathematicianmath.blogspot.com/2008_08_01_archive.html

This blog has closed. Follow me to 3stylelife. Thursday, August 7, 2008. After doing a lot of thinking and reading over vacation, I've decided to shut this blog down. By no means am I done with blogging, but this site really was my first attempt at the beast, and I need to make some fundamental changes. Thank you all for reading (and occasionally commenting). You can follow me to:. Links to this post. Subscribe to: Posts (Atom). Software problems in research #1: Excel turns genes into dates!

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fashionablemathematician - mathematics: GRE Math Quick Review Series

http://fashionablemathematicianmath.blogspot.com/2008/06/gre-math-quick-review-series.html

This blog has closed. Follow me to 3stylelife. Sunday, June 1, 2008. GRE Math Quick Review Series. This is another educational portal page which will house an ongoing series of documents. The documents here are intended for use when preparing for the mathematics section of the GRE (Graduate Record Exam), though they should also be useful for those studying for the SAT, SAT II (in math), or those simply wishing to review their mathematics. Subscribe to: Post Comments (Atom). GRE Math Quick Review: Decimals.

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Las ecuaciones de Cauchy-Riemann | Ceros y Puntos

https://cerosypuntos.wordpress.com/2016/12/21/las-ecuaciones-de-cauchy-riemann

Un polinomio irreducible en Z (los enteros) que nunca toma valores primos. La topología de Zariski en Spec(R) →. Diciembre 21, 2016 · 23:15. Ir a los Comentarios. Las ecuaciones de Cauchy-Riemann. La idea de ésta entrada es mostrar dos ejercicios que se resuelven por medio de las ecuaciones de Cauchy-Riemann. Consideremos un conjunto abierto. Bajo la topología usual de. Es diferenciable en el sentido complejo. Existe. Diremos que. Si es diferenciable en sentido complejo en una vecindad (no agujerada) de.

fashionablemathematicianmath.blogspot.com

fashionablemathematician - mathematics: Reversal of Social Preference in Plurality Voting

http://fashionablemathematicianmath.blogspot.com/2008/07/reversal-of-social-preference-in.html

This blog has closed. Follow me to 3stylelife. Sunday, July 13, 2008. Reversal of Social Preference in Plurality Voting. I continued working through the exercises in Chapter 1 of Donald Saari's. Basic Geometry of Voting. And found another interesting problem in Exercise 1.1.3.3 (just one exercise after my last posts' excursion, considering when a plurality winner can be a Condorcet loser. The resultant social preference. For example, removing candidate D can lead to the plurality result:. Oh, and I manag...

fashionablemathematicianmath.blogspot.com

fashionablemathematician - mathematics: June 2008

http://fashionablemathematicianmath.blogspot.com/2008_06_01_archive.html

This blog has closed. Follow me to 3stylelife. Saturday, June 28, 2008. Sorry for the delay in posting readers! I've been doing some construction work, which has been taking up a great deal of my time. I'm back with a possibly poorly timed application of mathematics to the world of sports. If anyone has ideas of where to go with these, or questions to ask/answer, please comment! Links to this post. Thursday, June 19, 2008. GRE Math Quick Review: Conversions. GRE Math Quick Review: Conversions. Completing...

fashionablemathematicianmath.blogspot.com

fashionablemathematician - mathematics: Plurality Winner, Condorcet Loser?

http://fashionablemathematicianmath.blogspot.com/2008/07/plurality-winner-condorcet-loser.html

This blog has closed. Follow me to 3stylelife. Saturday, July 12, 2008. Plurality Winner, Condorcet Loser? I recently received my copy of Donald Saari's. Basic Geometry of Voting. I'm using the book both for research purposes and to prepare to TA a class on the mathematics involved in Democracy, voting systems, and the like. I'll be posting some extensions of what comes out of the book and my own research here in the future. 4 people prefer A to B to C. 3 people prefer B to C to A. Then A is the pluralit...

fashionablemathematicianmath.blogspot.com

fashionablemathematician - mathematics: May 2008

http://fashionablemathematicianmath.blogspot.com/2008_05_01_archive.html

This blog has closed. Follow me to 3stylelife. Thursday, May 29, 2008. Calculus GHL 0.1 - Functions. Well, the first document in my Calculus GHL series is available now. We begin with some preliminary concepts, the building blocks that will allow us to do calculus. Our first section deals with functions, the basic objects we deal with in calculus. The link is down below, as well as in the portal/introduction document. Calculus GHL 0.1 - Functions. Please post any comments or suggestions below! Welcome to...

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Reviews at Steven Landsburg | The Big Questions: Tackling the Problems of Philosophy with Ideas from Mathematics, Economics, and Physics

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For reviews of The Armchair Economist. To read the preface. What’s being said about. 8220;This is one of the strangest and most compelling. Books I’ve ever read. Whatever you think and believe. About any one of dozens of the biggest questions in. Life, be prepared to have your deepest presuppositions. Challenged and your most cherished beliefs shaken, if. Not overturned. Landsburg fearlessly wades into icons. And ideologies with fresh insights I’ve encountered. Publisher of Skeptic magazine. Read the boo...

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Goin’ To the Candidates’ Debate at Steven Landsburg | The Big Questions: Tackling the Problems of Philosophy with Ideas from Mathematics, Economics, and Physics

http://www.thebigquestions.com/2015/08/05/goin-to-the-candidates-debate

This Would Be a Great Illustration of Comparative Advantage if It Weren’t Such a Great Illustration of Absolute Advantage. The First Debate in Real Time ». Goin’ To the Candidates’ Debate. August 5, 2015. I might regret this, but…. Thursday evening (August 6) there will be two debates among the Republican candidates for president, the first beginning at 5PM eastern time and the second at 9PM eastern time. I might or might not join the fray myself. To comment or read others’ comments. Feed for this Entry.

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Rigorous Trivialities

AG from the Beginning. February 16, 2015. Ok, time to get back to Riemann surfaces! We’ve been all about hyperbolic surfaces, and so first let’s compare the two of them: every oriented hyperbolic surface is a Riemann surface, and the conformal class of a complex structure contains a unique hyperbolic metric. Continue reading →. February 8, 2015. Continue reading →. Mapping Class Group Elements. January 19, 2015. Continue reading →. The Mapping Class Group. January 14, 2015. Continue reading →. Ok, with t...

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