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Lớp 10 Chuyên toán năm học 2022-2023: Một số đề luyện tập


Trong bài này tôi sẽ giới thiệu một số đề luyện tập cho học sinh lớp 10 Chuyên toán năm học 2022-2023.

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2223_10ct_deluyen2Download
Author Nguyễn Trung TuânPosted on August 24, 2022September 6, 2022Categories Algebra, Combinatorics, Contests, Grade 8, 9, Number TheoryTags lớp 10, lớp 10 chuyên toánLeave a comment on Lớp 10 Chuyên toán năm học 2022-2023: Một số đề luyện tập
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RSS Number Theory Web

  • Walking Alone: My Career in Mathematics, Maohua Le, Journal of Humanistic Mathematics, Volume 13, Issue 1 (January 2023), 239-251 February 6, 2023
  • Effective Aspects in Diophantine Approximation, March 27-31, 2023, Institut Camille Jordan, University Lyon 1 February 3, 2023
  • Summer school: Inclusive Paths in Explicit Number Theory, July 2-15, 2023, BIRS, University of British Columbia - Okanagan, Canada February 2, 2023
  • New Connections Between Physics and Number Theory, June 5-16, 2023, Castello dei Principi Capano, Pollica SA, Italy February 1, 2023
  • AfricaCrypt 2023, July 10-21, 2023, Sousse, Tunisia February 1, 2023
  • Number Theory and Combinatorics in Duluth, July 31-August 4, University of Minnesota, Duluth, USA February 1, 2023
  • Integers Conference 2023, May 17-20, 2023, University of Georgia, Athen, Georgia, US February 1, 2023
  • Number Theory in Tokyo, March 20-24, 2023, Tokyo Institute of Technology, Tokyo, Japan January 27, 2023
  • Dynamics and asymptotics in algebra and number theory, September 11-15, 2023, Bielefeld University, Bielefeld, Germany January 27, 2023
  • Hasse-Weil inequality and primality tests in the context of curves of genus 2, PhD thesis, Eduardo Ruíz Duarte, University of Groningen 2018 January 24, 2023

RSS Gil Kalai

  • The Trifference Problem January 23, 2023
    Originally posted on Anurag's Math Blog: What is the largest possible size of a set of ternary strings of length , with the property that for any three distinct strings in , there is a position where they all…
    Gil Kalai
  • Greatest Hits 2015-2022, Part II January 5, 2023
    This is the second part of Greatest Hits 2015-2022, Part I. Here are popular and favorite posts published in 2019-2022. 2019 Supremacy and Sensitivity (and Sunflowers) Test your intuition 38 was contributed in March 2019 by my youngest son Lior. … Continue reading →
    Gil Kalai
  • Greatest Hits 2015-2022, Part I January 1, 2023
    In February 2015 I wrote a post on the blog’s greatest hits in the first seven years, and its time to write a similar post for the eight years that followed. Quick updates: In recent months I took part in … Continue reading →
    Gil Kalai
  • Tel Aviv University Theory Fest is Starting Tomorrow December 25, 2022
    Tel Aviv University Theory Fest, December 26-December 28 2022. Cryptography workshop @ TAU TheoryFest December 29, 2022 TAU 2022 TheoryFest, December 26-28, 2022 The Theory of Computing was born as a purely mathematical investigation into the notion of computation. From … Continue reading →
    Gil Kalai
  • Alef’s Corner December 19, 2022
     
    Gil Kalai
  • A Nice Example Related to the Frankl Conjecture November 30, 2022
    Update: Peter Frankl brought to my attention that the very same example appeared in a paper by Dynkin and Frankl “Extremal sets of subsets satisfying conditions induced by a graph“. The example As a follow up to my previous post … Continue reading →
    Gil Kalai
  • Amazing: Justin Gilmer gave a constant lower bound for the union-closed sets conjecture November 17, 2022
    Frankl’s conjecture (aka the union closed sets conjecture) asserts that if is a family of subsets of [n] (=: ) which is closed under union then there is an element such that Justin Gilmer just proved an amazing weaker form … Continue reading →
    Gil Kalai
  • Barnabás Janzer: Rotation inside convex Kakeya sets November 16, 2022
    Barnabás Janzer studied the following question: Suppose we have convex body in that contains a copy of a convex body in every orientation. Is it always possible to move any one copy of to another copy of , keeping inside … Continue reading →
    Gil Kalai
  • Inaugural address at the Hungarian Academy of Science: The Quantum Computer – A Miracle or Mirage November 5, 2022
    (Picture: János Pach) The Quantum Computer – A Miracle or Mirage inaugural address of Gil Kalai honorary member of the MTA, Budapest, 15 June, 2022, 15:00 Abstract: On February 12, 2002, Michel Devoret’s lecture entitled “The Quantum Computers: Miracle or … Continue reading →
    Gil Kalai
  • Remarkable: “Limitations of Linear Cross-Entropy as a Measure for Quantum Advantage,” by Xun Gao, Marcin Kalinowski, Chi-Ning Chou, Mikhail D. Lukin, Boaz Barak, and Soonwon Choi October 25, 2022
    In this post I would like to report about an important paper (posted Dec. 2021) by Xun Gao, Marcin Kalinowski, Chi-Ning Chou, Mikhail D. Lukin, Boaz Barak, and Soonwon Choi. (I am thankful to Xun Gao and  Boaz Barak for … Continue reading →
    Gil Kalai

RSS Terence Tao

  • Infinite partial sumsets in the primes January 26, 2023
    Tamar Ziegler and I have just uploaded to the arXiv our paper “Infinite partial sumsets in the primes“. This is a short paper inspired by a recent result of Kra, Moreira, Richter, and Robertson (discussed for instance in this Quanta article from last December) showing that for any set of natural numbers of positive upper […]
    Terence Tao
  • Illustrating the Impact of the Mathematical Sciences January 12, 2023
    Over the last few years, I have served on a committee of the National Academy of Sciences to produce some posters and other related media to showcase twenty-first century and its applications in the real world, suitable for display in classrooms or math departments. Our posters (together with some associated commentary, webinars on related topics, […]
    Terence Tao
  • Special relativity and Middle-Earth December 19, 2022
    This post is an unofficial sequel to one of my first blog posts from 2007, which was entitled “Quantum mechanics and Tomb Raider“. One of the oldest and most famous allegories is Plato’s allegory of the cave. This allegory centers around a group of people chained to a wall in a cave that cannot see […]
    Terence Tao
  • An improvement to Bennett’s inequality for the Poisson distribution December 13, 2022
    If , a Poisson random variable with mean is a random variable taking values in the natural numbers with probability distribution One is often interested in bounding upper tail probabilities for , or lower tail probabilities for . A standard tool for this is Bennett’s inequality: Proposition 1 (Bennett’s inequality) One has for and for […]
    Terence Tao
  • Postdoctoral Research Positions in Mathematics and AI at the Sydney Mathematics Research Institute December 5, 2022
    [The following information was provided to me by Geordie Williamson, who is Director of the Sydney Mathematics Research Institute – T.] We are currently advertising two positions in math and AI: Both positions are for three years and are based at the Sydney Mathematical Research Institute. The positions are research only, but teaching at the […]
    Terence Tao
  • A counterexample to the periodic tiling conjecture November 30, 2022
    Rachel Greenfeld and I have just uploaded to the arXiv our paper “A counterexample to the periodic tiling conjecture“. This is the full version of the result I announced on this blog a few months ago, in which we disprove the periodic tiling conjecture of Grünbaum-Shephard and Lagarias-Wang. The paper took a little longer than […]
    Terence Tao
  • Trying out Mathstodon November 21, 2022
    It’s been a while since I’ve actively participated in social media outside of this blog – I was active in Google Buzz/Google+ for a while, until that service closed – but I’ve decided to try out Mathstodon, one of the servers of the open source social media software platform Mastodon. As I understand it, Mastodon […]
    Terence Tao
  • UCLA Math Undergraduate Merit Scholarship for 2023 November 5, 2022
    In 2010, the UCLA mathematics department launched a scholarship opportunity for entering freshman students with exceptional background and promise in mathematics. This program was unfortunately suspended for a while due to technical reasons, but we are once again able to offer one scholarship each year.  The UCLA Math Undergraduate Merit Scholarship provides […]
    Terence Tao
  • Upcoming workshop on “Machine assisted proofs” at IPAM October 21, 2022
    Just a short post to advertise the workshop “Machine assisted proofs” that will be held on Feb 13-17 next year, here at the Institute for Pure and Applied Mathematics (IPAM); I am one of the organizers of this event together with Erika Abraham, Jeremy Avigad, Kevin Buzzard, Jordan Ellenberg, Tim Gowers, and Marijn Heule. The […]
    Terence Tao
  • A Bayesian probability worksheet October 7, 2022
    This is a spinoff from the previous post. In that post, we remarked that whenever one receives a new piece of information , the prior odds between an alternative hypothesis and a null hypothesis is updated to a posterior odds , which can be computed via Bayes’ theorem by the formula where is the likelihood […]
    Terence Tao

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