In my work "=" is the identity of a number so it states an equivalence. 1=1, 2x=10 ie x =5. The approximation sign "≈" I use for decimal approximations with tilde "~" being a rougher approximation. Tilde "~" I use to state a geometric shape is similar to another one ie a triangle of sides 3/4/5 is similar to a triangle with sides 30/40/50.

May 20, 2018 · $=$ 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... For more information on the definition of a specific equivalence relation, you will need to provide information about that specific equivalence relation.

Jun 29, 2017 · $\begingroup$ Lets add some more.... $\sim$ is "similar to" but it can also appears in equivalence relations. I suppose similarity is an equivalence relation. $\equiv$ is "equivalent to" and appears in regularly in modular arithmetic. $\approx$ is aproximately. $\cong$ is congruence or isomorphism. And of course $=$ is equality. $\endgroup$ –

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Every article I see uses only the "=" sign for laws of set identities. I have tried searching for this, but to no avail. I also emailed my professor, in which he replied "the reasoning is simple, as the equivalence sign can only be used for logic expression." I don't quite understand this and would like to have a more intuitive approach.

Apr 30, 2015 · For consistency, one could argue to use this whenever you quotient by a equivalence relation. Number theory is filled with arithmetic and system of equations of these equivalence classes, see the Chinese Remainder Theorem, so these brackets would 'drown' the notation. Another reason why they use $\equiv$ in number theory is history.

Oct 30, 2015 · $=\frac{\cos^2x+\sin^2x}{\cos^2x}$ I only make use of the equal sign here since I didn't use any trig identities. $≡\frac{1}{\cos^2x}$ I used the triple bar again because I used an identity. $≡\sec^2x$ Is my understanding on its usage correct? Or should I …

Oct 4, 2015 · $\begingroup$ But the Unicode character ≡, U+2261, has the name “identical to”. On the other hand, the quadruple bar one, ≣, U+2263, has the name “strictly equivalent to”, although I don’t what to think about the “strictly” in the name, especially that there seems to not be any “equivalent to” for short.

May 27, 2019 · I keep seeing this symbol $\\equiv$ in Mathematical Analysis -1, Zorich. What does it mean? For example: in page 180 we have, Some other pages it occurs in: 117, 139.

Mar 5, 2015 · difference between equivalent and equal sign. Ask Question Asked 10 years, 2 months ago.