=
Note: Conversion is based on the latest values and formulas.
Difference between "≈", "≃", and "≅" - Mathematics Stack Exchange The symbol ≅ is used for isomorphism of objects of a category, and in particular for isomorphism of categories (which are objects of CAT). The symbol ≃ is used for equivalence of categories. …
What's "the most right" symbol to use for "defined to be equal to"? The most common one however is $ := $. The symbol $\equiv$ is usually used to denote a logical equivalence. The symbol $\stackrel{\mathrm{def}}=$ should just be exiled along with $\div$. …
notation - What does := mean? - Mathematics Stack Exchange 18 Mar 2011 · I have seen variants of these used by people who predate widespread knowledge of computer programming. It would be interesting to know the earliest uses of a special symbol …
Symbol for unknown relation? - Mathematics Stack Exchange and "What is the relation between these two expressions?" and I was hoping for an answer to the latter. In any case their answer might be the same "There is a solution ⇔ These expressions …
The meaning of various equality symbols - Mathematics Stack … 6 May 2015 · Equality $=$ is usually used for equality. $\equiv$ is occasionally used for "identically equal to," which is in a sense stronger than equality, by denoting that the thing on …
The equality symbol in logic - Mathematics Stack Exchange There's equality at the meta-level (where we're talking about structures, interpretations, formulas and so forth), and the equality symbol that can appear in a formula. Unfortunately it is common …
Why do we reverse inequality sign when dividing by negative … $\begingroup$ @Mahmud You might find it helpful to look at the concept of an ordered ring. This is a ring whose nonzero elements can be partitioned into disjoint sets $\rm\:P\:$ ("positives") …
What is the difference in the meaning of equality symbol There, you'll find distinctions in the way the equality symbol is used in logics: FOL (First Order Logic) with identity (where = is a primitive logic symbol), and this is what your author intends …
What does the equality symbol in FOL mean? 25 Jun 2023 · Let's talk about the FOL with equality as it seems the one most logic books talk about. For FOL without equality, it seems easier to understand the meaning of "=" which is …
Is equality the same as identity? - Mathematics Stack Exchange 6 Apr 2012 · In algebra or trigonometry an identity is an equality which is satisfied for all values of the involved variables. Examples: $$(a+b)^{2}=a^{2}+2ab+b^{2},$$ $$\sin 2a=2\sin a\cos a.$$ …