Recent content by mklejeune
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Graduate Open set (equivalent definitions?)
The two definitions are equivalent if the topological space in question is metrizable. I recommend proving for yourself that every metric space satisfies the Hausdorff axiom.- mklejeune
- Post #3
- Forum: Topology and Analysis
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What is the biggest most fundamental question in all of physics?
In general I tend to agree, though modern developments in philosophy (in those areas you mentioned) have done a good job of examining the "sense" of certain questions. For example, the question of "what was going on in the Universe before stuff started existing?" may be more of a grammatical...- mklejeune
- Post #42
- Forum: Other Physics Topics
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Opinions on 'The Variational Principles of Mechanics' by Cornelius Lanczos
For what it's worth, as someone with a copy of all the books mentioned so far (Landau, Lancsoz, Goldstein, Arnold) and still in the early stages of teaching himself the subject, I've opted to focus on completely digesting Mechanics by Landau/Lifgarbagez first. I find Lancsoz's book to be quite...- mklejeune
- Post #4
- Forum: Science and Math Textbooks