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- 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 ≼ or ≺ mean? - Mathematics Stack Exchange
Precise meaning of $\ll_{n, \varepsilon}$ in number theory paper 2 Intuition behind order isomorphisms 0
- 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
- 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"
- notation - Whats the difference between ≡ and ≣? - Mathematics . . .
$\begingroup$ $\equiv$ and similar variations are a generic symbols used to notate an equivalence relation $=$ is the specific equivalence relation "equals" that we are used to with sets and natural numbers and by extension is also the symbol used for equality of rational, real, complex numbers etc
- notation - What does := mean? - Mathematics Stack Exchange
$\begingroup$ I was aware of Pascal using :=, but not the others I think it is possible that the language designers of that time where influenced by maths (as has happened a number of times), but := is so far the only easily typable symbol mentioned here, so it is perfectly reasonable to assume it stems from programming languages in the first place
- Much less than, what does that mean? - Mathematics Stack Exchange
It has no precise meaning It's just a shorthand for saying "sufficiently small" or "easily seen to be so much smaller that the following argument will work" -- and shouldn't be expected to have a more precise technical content than it would have to write those fuzzy descriptions out in words
- What is ≡ operator used for in math?
It's used for various things in various contexts The one about "defined to be equal" is often rendered as ":="
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