domingo, 8 de dezembro de 2019
XV GEOMETRICAL OLYMPIAD IN HONOUR OF I.F.SHARYGIN
XV GEOMETRICAL OLYMPIAD IN HONOUR OF I.F.SHARYGIN
The correspondence round Below is the list of problems for the first (correspondence) round of the XV Sharygin Geometrical Olympiad.
The olympiad is intended for high-school students of four eldest grades. In Russian school, these are 8-11. In the list below, each problem is indicated by the numbers of Russian school grades, for which it is intended. Foreign students of the last grade have to solve the problems for 11th grade, students of the preceding grade solve the problems for 10th grade etc. However, the participants may solve problems for elder grades as well (solutions of problems for younger grades will not be considered). A complete solution of each problem costs 7 points. A partial solution costs from 1 to 6 points. A text without significant advancement costs 0 points. The result of a participant is the sum of all obtained marks. First write down the statement of the problem, and then the solution. Present your solutions in detail, including all necessary arguments and calculations. Provide all necessary figures of sufficient size. If a problem has an explicit answer, this answer must be presented distinctly. Please, be accurate to provide good understanding and correct estimating of your work ! If your solution depends on some well-known theorems from standard textbooks, you may simply refer to them instead of providing their proofs. However, any fact not from the standard curriculum should be either proved or properly referred (with an indication of the source). You may note the problems which you liked most (this is not obligatory). Your opinion is interesting for the Jury. The solutions for the problems (in Russian or in English) must be delivered not before December 1, 2018 and not later than on March 1, 2019. To upload your work, enter the site https://contest.yandex.ru/geomshar/, indicate the language (English) in the right upper part of the page, press "Registration"in the left upper part, and follow the instructions. Attention: 1. The solution of each problem (and of each part of it if any) must be contained in a separate pdf, doc, docx or jpg file. If the solution is contained in several files then pack them to an archive (zip or rar) and load it. 2.We recommend to prepare the paper using computer or to scan it rather than to photograph it. In all cases, please check readability of the file before uploading. 3. If you upload the solution of some problem more than once then only the last version is retained in the checking system. Thus if you need to change something in your solution then you have to upload the whole solution again. If you have any technical problems with uploading of the work, apply to geomshar@yandex.ru (DON’T SEND your work to this address). The final round will be held in July–August 2019 in Moscow region. The winners of the correspondence round are invited to it if they don’t graduate from school before. (For instance, if the last grade is 12 then we invite winners from 9–11 grades, and from 12 grade if they finish their school education later.) The graduates, winners of the correspondence round, will be awarded by diplomas of the Olympiad. The list of the winners will be published on www.geometry.ru at the end of May 2019 at latest.
If you want to know your detailed results, please use e-mail geomshar@yandex.ru.
LINK https://drive.google.com/file/d/1V3_aWsHQMiqDtXQi4ejv3SCDatm6bOry/view
LINK PRINCIPAL WEBSITE
https://imogeometry.blogspot.com/p/sharygin-geometry-olympiad.html
sábado, 16 de novembro de 2019
sexta-feira, 15 de novembro de 2019
Differential Equations 숭실대학교 송윤정-Soongsil University - Prof.Dra.Yoon Song-Department of Mathematics Seoul, South Korea
LINK: http://ssuocw.ssu.ac.kr/post/523
Differential Equations 숭실대학교 송윤정-Soongsil University - Prof.Yunjung Song
Differential equation is a mathematical model for situations where a relationship between a continuous variable and its rate of changes are available. It has applications in many areas of science such as engineering, physics, and economics. We study simple types of ordinary differential equations and their solutions. Topics of this course include: solutions of first- and second order linear differential equations, non-linear exact and separable equations, integrating factors, homogeneous equations, higher-order linear equations, initial and boundary value problems, solutions as functions of the equations parameters, Laplace transforms.
FULL COURSE Differential equations
http://www.kocw.net/home/search/kemView.do?kemId=1173948
terça-feira, 12 de novembro de 2019
50 por 1: Alvaro Garnero vai ao PERU e visita uma feira o CÂNION DO COLCA e admira O Vôo do Condor-AREQUIPA
VULCÃO MISTI AREQUIPA PERU
Álvaro Garnero presencia o voo dos condores no Peru Álvaro Garnero segue viagem pelo Peru e visita Arequipa, uma cidade que vive em estado de alerta constante por estar rodeada de vulcões. No Cânion de Colca, Álvaro presencia o voo dos condores. O espetáculo tem hora certa para acontecer todos os dias.
segunda-feira, 11 de novembro de 2019
Hanyang University Department of Physics Course Name: Mathematical Physics 1 Lecturer: Prof. Sang Jin Sin-한양대학교 물리학과 과목명 : 수리물리학1 - SEOUL SOUTH KOREA
과목명 : 수리물리학1 강연일자 : 2012.03.05 강연자 : 신상진 교수
강의개요 : 벡터공간과 벡터장을 설명하고 내적으로 통해 길이를 정의하여 내적을 불변케하는 일차변환을 회전이라 정의한다. 회전변환에 의해 벡터를 정의한다
LINK
https://hanyang.elsevierpure.com/en/persons/sang-jin-sin
quinta-feira, 17 de outubro de 2019
Number Theory 숭실대학교 송윤정-Induction and Binomial Theorem-Dra. Yoon Song - Soongsil University Department of Mathematics Seoul, SOUTH KOREA
http://www.kocw.net/home/cview.do?lid=f5d1e720d9285a7d
The number thoeory, especially the study of Prime Numbers, has such a long and rich history and captured the minds of great mathematicians that are known even today: Euclid of Alexandria, Fermat, Euler, Gauss, Hilbert, Dirichlet, Riemann, and Hadamard, to name only some of them. Not all the Prime Numbers are known yet and this fact of "not knowing" serves in protecting passwords and credit card numbers in the internet. There are yet unresolved conjectures and hypothesis such as Goldbach conjecture and Riemann hypothesis challenging future mathematicians.
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