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- What is ≡ operator used for in math? [duplicate]
The "≡" operator often used to mean "is defined to be equal " Share Cite Follow
- 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
- 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 ) $\endgroup$ –
- 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
- 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
- Difference of ≡ and ⇔ - Mathematics Stack Exchange
But they also will have the same logical value so i can use $≡$ I can't really differentiate between them Almost a different question Why do the de morgan laws use ↔, why don't the use one of $≡, ⇔$? $¬(A ∧ B) ↔ (¬A ∨ ¬B)$ English is not my first language and i translated my question mostly by myself
- Meaning of the symbol ≡. - Mathematics Stack Exchange
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