- What is ≡ operator used for in math? [duplicate]
The "≡" operator often used to mean "is defined to be equal " Share Cite Follow
- Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange
They would write 5 ≡ 11 (mod 3), read "5 is equivalent to 11, modulo 3 " We normally don't consider "5 mod 3" to be anything by itself (although you could say "The residue class of 5 modulo 3", which would mean the set of all integers equivalent to 5, mod 3 ) $\endgroup$
- When do you use ≡ and = in equations? - Physics Forums
(x+2)(x+1) ≡ x 2 + 3x +2, ie true for all values of x wheres as = was for an equation, true for some x but not all, as in x 2 + 3x +2 = 12 x 2 + 3x +2 = 12 is an example of a conditional equation, as opposed to an equation that is identically true (your first example)
- 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
- Whats the difference among the logical relations :=, =, and ≡?
In logic it usually means "propositional equivalence", it a little subtlety; for instance, the existencial quantifier is "defined" $∃x P(x)≡¬∀ x P(x)$ Shortly, if a≡b you can put b where you see a, and vice versa Also, in algebra ≡ is the congrunce operator; for instance, a ≡ b mod n means a-b is multiple of n
- Meaning of the symbol ≡. - Mathematics Stack Exchange
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- Whats the difference between - Mathematics Stack Exchange
While "$≡$" denotes an equivalent statement in a mathematical equation, but definition wise it means "identical to" e g $3 \times 4 ≡ 4 \times 3$ (because of the commutative properties) While like others said these can be interchangeable because they do mean the same thing you usually see " $↔$ " in formal logic and " $≡$ " in
- logic - Whats the difference between biconditional iff and logical . . .
I am confused about the difference between ↔ (biconditional iff) and ≡ (logical equivalence) For instance, p→q can be rewritten as ∼p∨q Would it be correct to say p→q↔∼p∨q or p→q≡∼p∨q? Secondly, is ⇔ another symbol for ≡? Finally, what's the difference between → and ⇒?
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