Read about micromass | 20 Discussions | Page 1

  1. micromass

    I Micromass' big October challenge!

    Time for the october challenge! This time a lot of people sent me suggestions for challenges. I wish to thank them a lot! If you think of a good challenge that could be included here, don't hesitate to send me! Ranking [and previous challenges] here...
  2. micromass

    Challenge Micromass' big September challenge!

    September, schools restart, summer ends, but a new challenge is here: Ranking here: https://www.physicsforums.com/threads/micromass-big-challenge-ranking.879070/ RULES: 1) In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. 2) It...
  3. micromass

    Challenge Micromass' big August challenge!

    August is already well underway, so time for some nice challenges! This thread contains both challenges for high schoolers and college freshmen, and for more advanced people. Also some previously unsolved challenges are omitted. Ranking here...
  4. micromass

    Insights Omissions in Mathematics Education: Gauge Integration - Comments

    micromass submitted a new PF Insights post Omissions in Mathematics Education: Gauge Integration Continue reading the Original PF Insights Post.
  5. micromass

    Challenge Micromass' big high school challenge thread

    Here is a thread of challenges made especially for high school students and first year university students. All the following problems can be solved with algebra, trigonometry, analytic geometry, precalculus and single-variable calculus. That does not mean that the question are all easy. For...
  6. micromass

    Challenge Micromass' big summer challenge

    Summer, July, hot weather: every reason is good enough for some new challenge questions. NEW: ranking can be found here: https://www.physicsforums.com/threads/micromass-big-challenge-ranking.879070/ For high school and first year university students, there is a special challenge thread for you...
  7. micromass

    Challenge Micromass' math challenges and ranking

    List of challenges: Integral Challenge: https://www.physicsforums.com/threads/micromass-big-integral-challenge.867904/ Counterexample Challenge: https://www.physicsforums.com/threads/micromass-big-counterexample-challenge.869194/ Counterexample Challenge 2...
  8. micromass

    Challenge Micromass' big July Challenge

    In this thread, I present a few challenging problems from all kinds of mathematical disciplines. RULES: In order for a solution to count, a full derivation or proof must be given. Answers with no proof will be ignored. It is fine to use nontrivial results without proof as long as you cite...
  9. micromass

    Insights Some Misconceptions about Indefinite Integrals - Comments

    micromass submitted a new PF Insights post Some Misconceptions on Indefinite Integrals Continue reading the Original PF Insights Post.
  10. micromass

    Insights Groups and Geometry - Comments

    micromass submitted a new PF Insights post Groups and Geometry Continue reading the Original PF Insights Post.
  11. micromass

    Insights Comments - How to self-study algebra. Part II: Abstract Algebra - Comments

    micromass submitted a new PF Insights post How to self-study algebra. Part II: Abstract Algebra https://www.physicsforums.com/insights/wp-content/uploads/2016/06/aastock6.png [Broken] Continue reading the Original PF Insights Post.
  12. micromass

    Insights Comments - Friends, strangers, 7825 and computers

    micromass submitted a new PF Insights post Friends, strangers, 7825 and computers Continue reading the Original PF Insights Post.
  13. micromass

    Challenge Micromass' big series challenge

    We had integrals, so we have to have series as well. Here are 10 easy to difficult series and infinite products. Up to you to find out the exact sum. Rules: The answer must be a finite expression. The only expressions allowed are integers written in base 10, the elementary arithmetic...
  14. micromass

    Insights Problems with Self-Studying - Comments

    micromass submitted a new PF Insights post Problems with Self-Studying Continue reading the Original PF Insights Post.
  15. micromass

    Challenge Micromass' big probability challenge

    Probability theory is very nice. It contains many questions which are very easy to state, but not so easily solved. Let's see if you can solve these questions. For an answer to count, not only the answer must be given but also a detailed explanation. Any use of outside sources is allowed, but...
  16. micromass

    Challenge Aren't you tired of counterexamples already?

    And we continue our parade of counterexamples! Most of them are again in the field of real analysis, but I put some other stuff in there as well. This time the format is a bit different. We present 10 statements that are all of the nature ##P## if and only if ##Q##. As it turns out, only one of...
  17. micromass

    Insights How to Self-study Analysis. Part Ii: Intermediate Analysis - Comments

    micromass submitted a new PF Insights post How to self-study analysis. Part II: intermediate analysis Continue reading the Original PF Insights Post.
  18. micromass

    Challenge Yet another counterexample challenge!

    Well, the last thread of counterexamples was pretty fun. So why not do it again! Again, I present you a list with 10 mathematical statements. The only rub now is that only ##9## are false, thus one of the statements is true. Provide a counterexample to the false statements and a proof for the...
  19. micromass

    Challenge Micromass' big counterexample challenge

    I adore counterexamples. They're one of the most beautiful things about math: a clevery found ugly counterexample to a plausible claim. Below I have listed 10 statements about basic analysis which are all false. Your job is to find the correct counterexample. Some are easy, some are not so easy...
  20. micromass

    Studying Share self-studying mathematics tips

    Are you self-studying mathematics? Do you have any questions on how to handle it? Anything you want to share? Do so here!
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