Recent content by RichardParker

  1. R

    Why is (-1)^(2/3) undefined on calculators?

    I see. I am not familiar with the exponential function yet, so I only know of one method of exponentiation. Thanks everyone.
  2. R

    Why is (-1)^(2/3) undefined on calculators?

    My hand-held calculator (as well as GraphCalc and Wolfram) registers DOMAIN ERROR whenever I try to input this. Paul's notes (http://tutorial.math.lamar.edu/pdf/Algebra_Cheat_Sheet.pdf) says that a^(m/n)= (a^m)^(1/n) = (a^1/n)^m However it does not define what set of numbers does a, m, and n...
  3. R

    How can I handle long proofs in mathematics?

    -__- I guess a what I am doing is getting math ''undone''. Thanks.
  4. R

    How can I handle long proofs in mathematics?

    Sometimes I just skip the proofs. Would I perish in the future if I do this often? I'm in a hurry because I need to get math done before I can do research.
  5. R

    I'm interested in learning about Quantum Mechanics

    @A. Neumaier: May I ask what are the mathematics pre-requisites of understanding the Lie algebras used in your book? EDIT: Please ignore this. I had read the preface and the answer to my question is there.
  6. R

    Force of a car crash basic physics.

    You can look at it in a different light: Force is also defined as the change in momentum (mass * velocity) of the object with respect to time. That is F = mv/t When the car crashes to a wall then the time it takes for the velocity to change is very small. So F = mv/ 0.0001 seconds is a...
  7. R

    What Movies Define Your Taste in Cinema?

    I like Brokeback Mountain. But it makes me feel kinda sad when I watch it. Edit: Spammers on top of me.
  8. R

    How Did Overcoming Addiction Lead to a Passion for Physics?

    Best wishes, blade! Try to make friends in school. I think it helps to be with people who are interested in scholarly activities, that way you'd get a sort of peer pressure into studying.
  9. R

    Can Self-Study Lead to Success in Advanced Subjects Without Coursework?

    Oliver Heaviside was a success, but that was years ago.
  10. R

    Testing Can Depression Qualify You for Exam Exemption? Expert Advice from a Fellow PF'er

    Ask whether you may be excused and just take the test later. If not, then you should consider withdrawing the course rather than fail.
  11. R

    Need book suggestion: Introduction to Hilbert Spaces

    @mathwonk: The (silly) reason is that I wasn't able to obtain a copy of the book. :shy:
  12. R

    Need book suggestion: Introduction to Hilbert Spaces

    Our last course on Mathematical Physics covers topology, topological spaces, metric spaces; differential forms; introduction to group theory including finite and continuous groups, group representations, and Lie groups. The textbook to be used is Math methods by Arfken and Intro to Hilbert...
  13. R

    Who Would Win in a Battle Between Albert E and Stephen Hawking?

    There are 10 million million million million million particles in the universe that we can observe. Your momma took the ugly ones and put them into one nerd. Hahahahahaha I think this got Albert E.
  14. R

    Confused with using Proof by Smallest Counterexample

    Thanks for all your replies. :) Especially to Robert.
  15. R

    Confused with using Proof by Smallest Counterexample

    I think I get it now... In mathematical induction you prove that given any k>=1, if Sk, then Sk+1. But in the proof by smallest counterexample Sk-1 is used instead. Is that okay?
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