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...

Dec 22, 2020 · 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 …

Mar 5, 2011 · 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 …

May 6, 2015 · 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 …

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...

Apr 28, 2012 · 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 …

Mar 23, 2025 · 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 …

May 25, 2025 · 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 …

Mar 13, 2022 · 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 …

May 1, 2023 · It's worth mentioning the distinction between "coprime" and "relatively prime": A set of integers is relatively prime if no integer > 1 divides all of them an example being (3, -7, 1). A set of …