- Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange
The $\approx$ is used mostly in terms of numerical approximations, meaning that the values in questions are "close" to each other in whatever context one is working, and often it is less precise exactly how "close " Topologists also have a tendency to use $\approx$ for homeomorphic
- notation - What does ∈ mean? - Mathematics Stack Exchange
Another possible notation for the same relation is {\displaystyle A\ni x,} A\ni x, meaning "A contains x", though it is used less often The negation of set membership is denoted by the symbol "∉" Writing {\displaystyle x\notin A} x\notin A means that "x is not an element of A"
- What is the meaning of ⊊? - Mathematics Stack Exchange
I have encountered this when referencing subsets and vector subspaces For example, T ⊊ span(S) should mean that T is smaller than span(S)--at least from what I've gathered Is ⊊ a sort of ≤ or lt
- The meaning of various equality symbols - Mathematics Stack Exchange
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- What precisely is a vacuous truth? - Mathematics Stack Exchange
$\begingroup$ @KennyLJ I see; what you there have is a not totally formal argument that $\emptyset \subseteq A$ $ If you want to formalize it (which in my opinion doesn't answer the question why?, but does show that you can nail down everything to the last dot), you have to resort to, for instance, axiomatic set the
- What is the importance of eigenvalues eigenvectors?
Matrices by themselves are just arrays of numbers, which take meaning once you set up a context Without the context, it seems difficult to give you a good answer If you use matrices to describe adjacency relations, then eigenvalues vectors may mean one thing; if you use them to represent linear maps something else, etc
- What is the meaning of - Mathematics Stack Exchange
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- What do the symbols d dx and dy dx mean?
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