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Bookmark or Share- Much less than, what does that mean? - Mathematics Stack ExchangeIt 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 does "curly (curved) less than" sign $\\succcurlyeq$ mean?Does it sometimes denote, in measurement theory; often the qualitative counterpart to $\geq $ in the numerical representation; when one wants to numerically represent a totally ordered qualitative probability representation:
- notation - What does "∈" mean? - Mathematics Stack ExchangeAnother 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".
- Difference between "≈", "≃", and "≅" - Mathematics Stack ExchangeThe $\approx$ 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.
- What is the meaning of the double turnstile symbolA statement like |= p -> (q -> p) means that the no matter the truth values of p and q, the value of p -> (q -> p) is always truth (which can be seen by looking at the truth table). A statement like |- p -> (q -> p) means that we can prove this formula purely by using axioms/rules of deduction, with no mention of truth or meaning.
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