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What does the symbol ≡ mean in mathematics?
All equal signs

be equal to

Mathematical terms: all equal signs.

If △ABC is all equal to △A'B'C', it can be expressed as △ABC≠△A' b' c'. (It can also be expressed as "")

(2)

Constant equals sign:

Mathematical term: constant equals sign.

Constant equals sign is generally used when some parameter variables are constants or constant expressions, and the congruence relation has nothing to do with variables. For example, the function f(x)≡k means that no matter what the value of x is, the value of this function is always k.

(3)

Three bonds in chemistry, such as C≡C carbon-carbon triple bond.

(4)

Congruence symbol

Meaning: Two integers A and B are said to be congruent with the module M if the remainder obtained by dividing them by the integer M is equal.

Write it as a ≡ b (mod m)

Read a congruence with the module m of b, or read a congruence with the module m of b.

For example, 26 14(mod 12)

Let m be a positive integer greater than 1, and A and B are integers. If m|(a-b), a and b are said to be congruent with respect to module m, and module m is denoted as a≡b(mod m), which is read as congruence with module B.

Obviously, there are the following facts.

(1) If a≡0(mod m), then m | a;;

(2)a≡b(mod m) is equivalent to dividing a and b by m respectively, and the remainder is the same.

Sufficiency of proof: let a = mq 1+r 1, and b = mq2+R2, 0.

∫a≡b(mod m),∴m|(a-b),a-b=m(q 1-q2)+(r 1-r2).

And m|(r 1-r2).

∫0 & lt; =r 1,r2 & ltm,∴0<; = | r 1-R2 | & lt; m,

That is r 1-r2=0,∴r 1=r2.

Necessity: Let A and B divide the remainder by M into R, that is, a = mq 1+r and b = mq2+r,

a-b=m(q 1-q2) ∴m|(a-b),

Therefore, a≡b(mod m).

The same thing doesn't mean.