Recent content by njl86

  1. N

    What is an Example of a Matrix with Geometric Multiplicity Greater Than 1?

    I know, I was just looking for a normal example that showed otherwise. Thank you for your counter example How do I continue with my method?
  2. N

    What is an Example of a Matrix with Geometric Multiplicity Greater Than 1?

    after finding out what geometric multiplicity was, I was surprised to notice that in every question I'd done it was always 1. So I'm trying to prove an example with g.m. > 1 to see why it works. I've found a matrix which definitely has an eigenvalue with g.m. = 2. I've checked everything with...
  3. N

    Higher Bound State: Definition & Meaning

    "higher" bound state just a quick question on terminology.. if something has a higher binding energy, can it be said to be in a higher bound state? thanks
  4. N

    Number of combinations of 30 dice rolls

    You roll thirty dice. How many different possible combinations can be rolled? Order does not matter I think it's 6^30 choose 30, so: \frac{(6^{30})!}{(6^{30}-30)!(30!)} Also, perhaps the more important part of my question - any idea how to approximate this? The numbers involved are very...
  5. N

    Why do radians *work* in calculus and higher maths?

    Hello, I searched the forum and couldn't find this topic, so I'll try and describe my question. I want to know why using radians work and while they are 'natural'. I think the key equation is... lim x→0 (sin x) / x = 1 ...because it makes the derivatives of trigonometric functions...
Back
Top