منابع مشابه
Olympiad Inequalities
It is the purpose of this document to familiarize the reader with a wide range of theorems and techniques that can be used to solve inequalities of the variety typically appearing on mathematical olympiads or other elementary proof contests. The Standard Dozen is an exhibition of twelve famous inequalities which can be cited and applied without proof in a solution. It is expected that most prob...
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4. Two brothers sold n lambs at a price n dollars. They divide the money as follows: the elder brother took 10 dollars, the younger one took 10 dollars, the elder one took again 10 dollars and so on. At the end it turned out that the sum for the younger brother was less than 10. He took the remainder and the pen-knife of his brother. The brothers agreed that the division was correct. What is th...
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Ernest Chiu 10 West Windsor Plainsboro High School Plainsboro, NJ Paolo Gentili 10 Canyon Crest Academy San Diego, CA Courtney Guo 10 International School of Beijing Beijing, China Steven Hao 10 Lynbrook High School San Jose, CA Andrew He 9 Monta Vista High School Cupertino, CA Calvin Huang 10 Henry M Gunn High School Palo Alto, CA Shashwat Kishore 9 Unionville High School Kennett Square, PA La...
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2. A configuration of 4027 points in the plane is called Colombian if it consists of 2013 red points and 2014 blue points, and no three of the points of the configuration are collinear. By drawing some lines, the plane is divided into several regions. An arrangement of lines is good for a Colombian configuration if the following two conditions are satisfied: • no line passes through any point o...
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ژورنال
عنوان ژورنال: Astronomy & Geophysics
سال: 2015
ISSN: 1366-8781,1468-4004
DOI: 10.1093/astrogeo/atv164