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Conversation Between Mike and Nebula
Showing Visitor Messages 1 to 10 of 13
  1. Nebula
    08-07-2012 - permalink
    Nebula
    Ouch. Worst I have done is break three pieces of glassware in a chemistry lab.
    I do not mind applied. "we do not have to worry about this solution as it has no physical meaning, so we can let the mathematicians ponder over it."
    But I hate oscillopscopes and electric stuff. When I chose my labs, I do my best in avoiding both.

    The one thing I like about pure math is the lack of numbers
  2. Mike
    08-07-2012 - permalink
    Mike
    Haha sounds about right. I never really enjoyed applied or physics.
    In my Physics A level (Pre-Uni exam) I completely botched my practical and broke some expensive equipment! :x
  3. Nebula
    08-07-2012 - permalink
    Nebula
    And wow so many strange objects, stuff without a zero element, those have got to do some weird things.
    And all is well. I know enough people taking math as I study physics. One of them is always doing her maths assignments in our lectures.
  4. Nebula
    08-07-2012 - permalink
    Nebula
    Thanks for clarifying that. Not sure about the pass rate here but I have a feeling that they scale many people up. I heard the story of an exchange student taking 4 maths subjects. They spent their time here not enjoying kangaroos and koalas but doing maths assignment after maths assignment.
  5. Mike
    08-07-2012 - permalink
    Mike
    Some will write N* as the naturals without 0 while some will just write N.

    Sorry for the maths lesson
  6. Mike
    08-07-2012 - permalink
    Mike
    then you will often seen identities in the relevant axioms, but for the Set of Natural Numbers (Often a funny N with two lines) identities aren't needed. Like in most sets.

    Some mathematicians include 0 in the Naturals for a sense of completion. Often a * is put in front of sets to mean the set without the zero element. Q* is the rationals without 0. Z* is the integers without 0.
  7. Mike
    08-07-2012 - permalink
    Mike
    Whenever you group together numbers, you don't need identities because there are no axioms requiring there to be identities. Sets don't need additive identities since they are just a big bag of things.

    When you have a system such as a Vector Space, Metric Space, Normed Space, Ring or Group, where there are things happening to your elements,
  8. Mike
    08-07-2012 - permalink
    Mike
    Haha that sounds about right. Pass rate at my university was 40% and I got a few close calls :P
    Proving things is the best feeling in the world but it's not worth it if the subject drives you nuts!

    For the sake of completeness, some people include 0 as a natural number.
  9. Nebula
    08-06-2012 - permalink
    Nebula
    Super scary as in the average mid semester exam mark for a course called analysis 1 was in the 30-40% range...
    I sort of miss being able to prove things as I switched to applied.
    Hmm question is 0 an element of the natural numbers? Do they need an additive identity?
  10. Mike
    08-06-2012 - permalink
    Mike
    I can understand that :P Mathematics can be super scary for some people. Definitely not for everyone! I took a shine to it though
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