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IMO 2015 Problem 1 | Beni Bogoşel's blog
https://mathproblems123.wordpress.com/2015/07/10/imo-2015-problem-1
Beni Bogoşel's blog. Math problems and research topics. IMO 2015 Problem 1. IMO 2015 Problem 1. July 10, 2015. We say that a finite set. Of points in the plane is. If, for any two different points. There is a point. If for any three different points. There is no points. A) Show that for all integers. There exists a balanced set having. B) Determine all integers. For which there exists a balanced center-free set having. Find all triples of positive integers. Are all powers of 2. Be an acute triangle with.
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Shape optimization | Beni Bogoşel's blog
https://mathproblems123.wordpress.com/shape-optimization
Beni Bogoşel's blog. Math problems and research topics. Shape optimization is a part of the field of optimal control theory. The typical problem is to find the shape which is optimal in that it minimizes a certain cost functional while satisfying given constraints. In many cases, the functional being solved depends on the solution of a given partial differential equation defined on the variable domain. Some introductory Bibliography for the subject:. Henrot Antoine, Michel Pierre,. Measure Theory and Fin...
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Must see | Beni Bogoşel's blog
https://mathproblems123.wordpress.com/more-than-problems
Beni Bogoşel's blog. Math problems and research topics. Some really good posts, which I consider more interesting will be presented below. I hope you’ll find them interesting. Existence Result for the Isoperimetric Problems. Miklos Schweitzer 2011 Problems. Shape Optimization Course Day 2. Shape Optimization Course Day 1. Uniqueness and Error estimates via Kinetic Entropy Defect Measure. Miklos Schweitzer 2011 Problems. Orthogonal matrices form a manifold. Matrix power of any order must be identity.
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Open | Beni Bogoşel's blog
https://mathproblems123.wordpress.com/more-than-problems/open-problems
Beni Bogoşel's blog. Math problems and research topics. The problems posted here are not without solution, like well known open problems. I found them in various resources, but I can’t figure out solutions for them. If you like a challenge, try them and if you succeed post a hint or a part of the solution in the comments area to the set of problems. Set 2 Problem 1. 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).
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Curriculum Vitae | Beni Bogoşel's blog
https://mathproblems123.wordpress.com/curriculumvitae
Beni Bogoşel's blog. Math problems and research topics. My name is Bogosel Beniamin. I am 24 years old and I am happily married to a beautiful woman, Cristina. I currently live in Chambery, France. I am a PHD student in Mathematics under the coordination of Dorin Bucur. At Universite de Savoie, Chambery, France. I finished my master degree at West University Timisoara, Research Master programme –. Analytic and Geometric System Modelling. In the 7th and 8th grade I was a part of the large team of 25 stude...
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Math Quotes | Beni Bogoşel's blog
https://mathproblems123.wordpress.com/more-than-problems/math-quotes
Beni Bogoşel's blog. Math problems and research topics. In problem solving, as in street fighting, rules are for fools! Sanjoy Mahajan at TEDxCaltech, 2011 (source: MatheMazier.wordpress.com. 8220;… l’essentiel n’est pas d’être complet, mais de montrer la voie, et, pour convaincre, d’être une loupe et non pas un miroir. ”. 8220;Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.”. Bell, Eric Temple. December 30, 2012 at 12:13 am. Get every new...
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Semigroups | Beni Bogoşel's blog
https://mathproblems123.wordpress.com/more-than-problems/semigroups
Beni Bogoşel's blog. Math problems and research topics. The semigroup theory for operators was inspired by the exponential of a bounded operator. Series which is absolutely convergent for. Bounded and therefore convergent. The semigroup theory is an adaptation of this for unbounded operators. Proofs and extensions of the presented facts can be found in the following works:. Short Course on Operator Semigroups, K.J Engel, R. Nagel. In further considerations unless stated otherwise. A family of operators.
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IMO 2015 Day 2 | Beni Bogoşel's blog
https://mathproblems123.wordpress.com/2015/07/11/imo-2015-day-2
Beni Bogoşel's blog. Math problems and research topics. IMO 2015 Day 2. IMO 2015 Day 2. July 11, 2015. Are all different and lie on line. In this order. Let. Be the points of intersection of. In this order. Let. Be the second point of intersection of the circumcircle of triangle. Be the second point of intersection of the circumcircle of triangle. Suppose that the lines. Are different and intersect at the point. Lies on the line. Be the set of real numbers. Determine all functions. For all real numbers.
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Latex & stuff | Beni Bogoşel's blog
https://mathproblems123.wordpress.com/more-than-problems/latex-stuff
Beni Bogoşel's blog. Math problems and research topics. Http:/ www.maths.tcd.ie/ dwilkins/LaTeXPrimer/. Http:/ en.wikipedia.org/wiki/Help:Displaying a formula. For using Latex on WordPress in posts or comments, you have to put latex formulas between the signs. Displaystyle int 0 infty e {-x 2}dx $. Turned out very nice. A short tutorial can be found here. And an online MetaPost compiler can be found here. You can draw figures for geometry problems using Geogebra. It is a free software, with great cap...
