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Growth Estimates via Collisions, Part 1: Incidences | murphmath
https://murphmath.wordpress.com/2015/12/28/growth-estimates-via-collisions-part-1-incidences
Growth Estimates via Collisions, Part 1: Incidences. December 28, 2015 in math.CO. This is the first of a series of three posts outlining the key ideas behind my recent paper “Growth Estimates in Postive Characteristics via Collisions”. Which is joint work with Esen Aksoy Yazici, Misha Rudnev, and Ilya Shkredov. And Misha and Ilya’s joint work with Olly Roche-Newton “New sum-product type estimates over finite fields”. Is a point set of the form. Is a set of lines in. In a sense, this bound is halfway bet...
Restricted subgraph bounds | murphmath
https://murphmath.wordpress.com/2012/06/19/restricted-subgraph-bounds
June 19, 2012 in expository. Incidence problems and bipartite graphs-. An important problem in combinatorial geometry is to study the number of incidences between a set of points and set of lines (or curves, surfaces, etc.). More specifically, let. Be a finite subset of. Be a finite set of lines (or curves, surfaces, etc.). We define the set of. Our problem is now to study the size of. Of course we always have the trivial bound. But we would like to do better. Introducing the set of incidences of. Cannot...
Installing Latex Style Files on Dropbox | murphmath
https://murphmath.wordpress.com/2013/07/12/installing-latex-style-files-on-dropbox
Installing Latex Style Files on Dropbox. July 12, 2013 in non-math. I use several different computers, so I keep all of my files on Dropbox. To keep my latex style sheets synced up, I created a texmf folder on Dropbox. Then by adding a path on each computer, tex will automatically find the stylesheet there. I’m posting detailed instructions, because I always forget how to add the path. (These instructions are for macOS and texlive.). Texmfcnf is the config file we want to edit. Once you’ve added th...
Counting Monomials | murphmath
https://murphmath.wordpress.com/2012/08/22/counting-monomials
August 22, 2012 in expository. I would like to record a few propositions about number of monomials of a given degree in the ring of polynomials in several variables. We begin with a basic counting problem: suppose we have. Balls—how many ways can we place the balls in the boxes? The boxes may be empty, or they may contain any number of balls, we only require that all. Are placed. There is a clever way of reducing this problem to the easier problem of counting the number of ways to select. The number of m...
Short Proofs of Two Hard Theorems | murphmath
https://murphmath.wordpress.com/2012/08/29/two-short-proofs-of-hard-theorems
Short Proofs of Two Hard Theorems. August 29, 2012 in expository. 1 The Kakeya Problem. The finite field Kakeya problem and the joints problem are related to an open problem called the. Is a subset of. That contains a unit line segment in every direction. Besicovitch showed that such sets may have Lebesgue measure zero for. However, Davies showed that for. Kakeya sets must have Hausdorff dimension. So that a Kakeya set is actually a two dimensional object, despite having no area. The. Is that for all.
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(More) Local Properties that imply Many Distinct Distances – Some Plane Truths
https://adamsheffer.wordpress.com/2016/08/16/more-local-properties-that-imply-many-distinct-distances
Discrete geometry and other typos. August 16, 2016. More) Local Properties that imply Many Distinct Distances. Last year I wrote a post. About a distinct distances problem that involves local properties of the point set. Specifically, let. Denote the minimum number of distinct distances that can be determined by a set. Points, such that any. As discussed in the previous post, Fox, Pach, and Suk. Proved that for every. A simple argument shows that for every. We will now prove a stronger result. Be a set of.
October 2016 – Some Plane Truths
https://adamsheffer.wordpress.com/2016/10
Discrete geometry and other typos. October 16, 2016. Additive Energy of Real Point Sets. Over the years, more and more interactions between Discrete Geometry and Additive Combinatorics are being exposed. These include results such as the Green–Tao ordinary lines theorem. And Solymosi’s sum-product bound. Ciprian Demeter and Nets Katz. Continue reading →. Posted in Additive combinatorics. Additive Energy of Real Point Sets. More) Local Properties that imply Many Distinct Distances. Anurag's Math Blog.
Additive Combinatorics Lecture Notes (part 2) – Some Plane Truths
https://adamsheffer.wordpress.com/2016/06/01/additive-combinatorics-lecture-notes-part-2
Discrete geometry and other typos. June 1, 2016. Additive Combinatorics Lecture Notes (part 2). I finished my additive combinatorics class, and placed all of the lecture notes in the pdf files page. This quarter was rather short and I did not get to do several topics I had in mind. Perhaps I’ll add notes for some of these at some point. For now, let me just list the chapters that did not appear in the previous post. Consists of Sander’s proof of the quasi-polynomial Freiman-Ruzsa theorem in. You are comm...
Some Plane Truths – Page 2 – Discrete geometry and other typos
https://adamsheffer.wordpress.com/page/2
Discrete geometry and other typos. January 22, 2016. Incidences Outside of Discrete Geometry. Starting the 1980’s, more and more applications of geometric incidences have been found in discrete geometry. By now, one can arguably claim that there are countless such applications. More surprising are the applications of incidences. Outside of discrete geometry. One of the main milestones in the study of the sum-product problem is a seminal paper by Elekes. Rely on incidences to derive bounds for the discret...
PDF files – Some Plane Truths
https://adamsheffer.wordpress.com/pdf-files
Discrete geometry and other typos. My polynomial method lecture notes. With a focus on incidences):. Introduction to geometric incidences, related problems in discrete geometry, and first applications. Some basic real algebraic geometry. Polynomial partitioning and how to use it to obtain incidence bounds. Distinct intersection points (finishing the Guth-Katz distinct distances problem). More distinct distances problems. My additive combinatorics lecture notes:. The sum product problem. Fill in your deta...
Local Properties that imply Many Distinct Distances – Some Plane Truths
https://adamsheffer.wordpress.com/2015/06/02/local-properties-that-imply-many-distinct-distances/comment-page-1
Discrete geometry and other typos. June 2, 2015. Local Properties that imply Many Distinct Distances. Jacob Fox, Janos Pach, and Andrew Suk just placed this paper. On arXiv. The paper seems very nice, but unfortunately for Ben Lund, Frank de Zeeuw, and myself, it contains a result that is almost identical to one that we had but did not yet publish. Instead of sulking alone in the dark, in this post I describe the problem and our result. Jacob Fox, Janos Pach, and Andrew Suk. With the property that any.
Adam Sheffer – Some Plane Truths
https://adamsheffer.wordpress.com/author/adamsheffer
Discrete geometry and other typos. October 16, 2016. Additive Energy of Real Point Sets. Over the years, more and more interactions between Discrete Geometry and Additive Combinatorics are being exposed. These include results such as the Green–Tao ordinary lines theorem. And Solymosi’s sum-product bound. Ciprian Demeter and Nets Katz. Continue reading →. Posted in Additive combinatorics. August 16, 2016. More) Local Properties that imply Many Distinct Distances. Last year I wrote a post. A while ago I no...
An End to the Happy Ending Problem – Some Plane Truths
https://adamsheffer.wordpress.com/2016/05/03/an-end-to-the-happy-ending-problem
Discrete geometry and other typos. May 3, 2016. An End to the Happy Ending Problem. Andrew Suk just placed on arXiv a paper. With an almost tight bound for the happy ending problem. These are exciting news for discrete geometers! I’ll use the opportunity to describe the problem and its non-technical history. Andrew Suk and the Anonymous statue. That passes through the two interior points. We take the two interior points and the two points that are on the same side of. Such that every set of. And this is ...
Additive Energy of Real Point Sets – Some Plane Truths
https://adamsheffer.wordpress.com/2016/10/16/additive-energy-of-real-point-sets
Discrete geometry and other typos. October 16, 2016. Additive Energy of Real Point Sets. Over the years, more and more interactions between Discrete Geometry and Additive Combinatorics are being exposed. These include results such as the Green–Tao ordinary lines theorem. And Solymosi’s sum-product bound. Ciprian Demeter and Nets Katz. And a finite subset. Note that the size of the sum set. A small sum set such as. For example, Freiman’s theorem. Then a small sum set implies that. Next, notice that the ad...
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Blackjack/MurphmanFA/whatever I go by elsewhere. I'm 27, an FA, a photographer, and a hardcore movie buff. 304/1001. About who I am. Submit stuff to me! That little dance David Harbour does, you know the one. Reblog if you agree. Pacific Northwest by David Kovalenko. WHY IS THIS TRUE I HATE THIS. Can we talk about how in zombie shows/movies/books they always find a veterinarian and not a surgeon? Are veterinarians deemed more likely to survive the apocalypse? Meat safety is part of our training. Update: ...
Murph Manor
Wednesday, January 11, 2017. One of the musical acts featured on one of Digitally Imported's music channels is a group from Milwaukee, Wisconsin that goes by the name of Lights Out Asia. Tuesday, January 10, 2017. Friday, January 6, 2017. Review: Red Hood and the Outlaws #5. Red Hood and the Outlaws #5. Dark Trinity, Part 5: Behind The Mask". Cover: Giuseppe Camuncoli, Cam Smith, and Dean White. Assistant Editor: Brittany Holzherr. Group Editor: Marie Javins. Cover Price: $2.99. Red Hood and the Outlaws.
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MurphMasterMurph (murph) - DeviantArt
Window.devicePixelRatio*screen.width 'x' window.devicePixelRatio*screen.height) :(screen.width 'x' screen.height) " class="mi". Window.devicePixelRatio*screen.width 'x' window.devicePixelRatio*screen.height) :(screen.width 'x' screen.height) ". Join DeviantArt for FREE. Forgot Password or Username? Digital Art / Hobbyist. Deviant for 3 Years. 4 Month Core Membership. This deviant's activity is hidden. Deviant since Apr 12, 2012. Core Member until Dec 25, 2015, given by AlphaBeing24. Why," you ask? Well i...
murphmath | math by murph
Growth Estimates via Collisions, Part 1: Incidences. December 28, 2015 in math.CO. This is the first of a series of three posts outlining the key ideas behind my recent paper “Growth Estimates in Postive Characteristics via Collisions”. Which is joint work with Esen Aksoy Yazici, Misha Rudnev, and Ilya Shkredov. And Misha and Ilya’s joint work with Olly Roche-Newton “New sum-product type estimates over finite fields”. Is a point set of the form. Is a set of lines in. In a sense, this bound is halfway bet...
Murph Media
Monday, December 31, 2007. Welcome to Murph Media. I know I run quite a few Blogs for many places and subjects, but this one is me, Murph. It's just a bunch of stuff I like. Please comment on my posts and point me to the things you like too. Posted by Murph at 10:07 AM. Saturday, December 29, 2007. Allow me to be your e-pest. Would you like to be notified when there is content added to this site, Of course you do, why wouldn't you? Just click the link below and I'll make it all better. Comics - Owen Dunne.
Murph Media
A production company based in new york. A collection of some of our stop-motion, motion graphics and live-event videos. We regularly update our portfolio, but if you can’t wait to see more from us, please head over to our Instagram. Page and get access to exclusive content. Retail Me Not - Mother's Day. Marks and Spencer Holiday Countdown. We give patrons a memorable experience with our award winning on-site stop motion studio where visitors can engage with the brand. We would love to hear from you!
Until you die
December 31st, 2025. Ok, here it goes. I'm not mean. Ask me and I'll add you! February 5th, 2007. COLTS WIN THE SUPERBOWL! That is the first football game I've watched all the way through and paid attention to. Good place to start eh? Also- Last night was Chris's last 3rd shift! YAYYAYAYAYYAYAY He's start his FULL TIME 2nd shift position today! I think that's it. Either way I need to go to my next class. Ps- it was -6 when i left my house today. November 8th, 2005. Super long.like whoa). April 24th, 2005.
Taking Art to the Next Level | Traditional art is moving to infinity and beyond, but are we really ready for it?
Taking Art to the Next Level. Traditional art is moving to infinity and beyond, but are we really ready for it? The Next Generation of Children’s Storytelling: Interactive Enhanced eBooks. Posted in Children's Storytelling. Continue reading →. Forging New Paths in a “Copy Cat” Gaming Industry. Team has laid forth as inspiration to continue to reach new levels of what gaming could, and should. Continue reading →. 8 Critical Life Lessons No One Tells you in Film and Art School. Continue reading →. Becoming...
Melissa's Sketchbook | The sketches, paintings, animations, and ramblings of a crazy dreamer
The sketches, paintings, animations, and ramblings of a crazy dreamer. Sparkle, shine, and diamonds! Last year ended on a great note for me, and this year is looking even better! Realized today that I have never tried actually drawing myself. Which I guess is the norm (? Gonna try and do a couple of different styles. It feels really awkward drawing yourself…. Playing with a mock idea for a ride. Just for fun. Just some more character sketches of the nautical pair! Ollie Character Development for eBook!
