- When do you use ≡ and = in equations? - Physics Forums
How do you know when to use ≡ or =? I've seen the the formula for density written with that = and ≡ Also, whilst we're on the topic of symbols, what does an inequality sign with two lines beneath it mean? Is it the same as with one line (greater less than or equal to) Thanks
- What is ≡ operator used for in math? [duplicate]
Here, ≡ ≡ marks the places where we add or subtract multiples of the modulus, while ordinary = = signs denote equivalences that hold also in ordinary arithmetic
- Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange
In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators B
- Whats the difference among the logical relations :=, =, and ≡?
Rather confusingly, some texts use ≡ for logical equivalence but many, particularly older ones, use it for material equivalence That is a usage that goes all the way back to Principia Mathematica Best just not to use it I would suggest using ⊨⫤ or ⫤ ⊨for logical equivalence and ↔ or ⊂⊃ for material equivalence
- Whats the difference between - Mathematics Stack Exchange
With respect to the " ≡ ≡ " symbol (my comment was getting long!): This is more in the way of speculation, but it seems that " a ≡ b a ≡ b " is used in some (not all) contexts to denote " a a is identically b b ", or in other contexts to convey that a a and b b are essentially equivalent (with respect to some equivalence-relation, e g congruence modulo n n, or geometric congruence, or
- notation - Whats the difference between ≡ and ≣? - Mathematics . . .
However, the symbol ≡ ≡ also denotes congruence, e g p2 ≡ 1 (mod 6) p 2 ≡ 1 (mod 6), so using the symbol for two different circumstances can cause some confusion
- When do you make use of ≡ when verifying trigonometric identities?
In practice, outside a few realms of mathematics, you won't often come across a need to use the triple bar ≡ at all A lot of individuals tend to use ≡ mostly for emphasis when one reaches some notable identity in a proof The typical equals sign should suffice in nearly all of your cases
- logic - Whats the difference between biconditional iff and logical . . .
In case you can use a somewhat philosophical explanation: ↔ ↔ is a logical operator within statements, while ≡ ≡ serves to state an equivalence between statements and thus may be thought of as meta-logical
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