Meaning of "Commas and Periods" in Mathematical Functions?
Can someone please help me understand the meaning of "commas and periods" that appear on the right side of mathematical functions? For example, in another question (Making the
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After looking at the Wikipedia article on topological space, I still cannot grasp intuitively what topological space is. For example, if we are to define topology on real numbers, can there be
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Other symbols I have seen used for "is defined to be equal to" are three horizontal lines instead of two, and $=$ with either a triangle or "def" written directly above it. I have seen variants of
The meaning of various equality symbols
Maybe instead of handling your example, because the context is not always relevant, let''s look at possible groupings of the symbols. Equality $=$ is usually used for equality. $equiv$ is
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I was reading a paper about well-orderings and this came up: Suppose (E, ≤) and (F, ≼) are isomorphic well-orderings. Then there exists a unique isomorphism for (E, ≤) to (F, ≼). I''ve been scouri...
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What is the standard definition of completeness? From what I have researched I have come across two different definitions: A set of formulas $Gamma$ is complete iff for all formulas
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Difference between "≈", "≃", and "≅"
In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators B...
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Neither of what you have learnt is correct. The big/small O, big/small $Theta$ and big/small $Omega$ notations are purely mathematical notations and have purely mathematical
What is the meaning of ⊊?
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