Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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kempos
2006-02-21 03:30:06

used for identities (trigonometry) to indicate that something is always true - in trigonometry true for any angle for example.

mathsyperson
2006-02-20 05:11:33

Yes, I learnt it as being 'identical to' too.

eg:

(x+2)² ≡ x² + 4x + 4
x+2 = 9.

You can use ≡ in the top equation because it is always true, but for the lower one you need to use = because it is only true when x = 7.

Ricky
2006-02-20 04:28:51

x ≡ y out loud is "x is equivalent to y".  What does equivalent mean?  Depends on where you see it.

Two things are equivalent if they share the same property.  The one who writes it must define the property that they are talking about.

For example, if I wish to talk about even and odd integers, 2 ≡ 4 because they are both even, 3 ≡ 5 because they are both odd, but 2 <≡> 5.  (I just  made up <≡>, because <> means not equal, and it looks pretty nice).

Or we could use it in terms of names that start off with the same letter:

Ryan ≡ Robert
Mark <≡> Ben

irspow
2006-02-20 03:19:38

I believe that it means that the term on one side is the definition of the term on the other side.  They are more than just terms that are equivelent but exactly the same.  Does that make sense?

After doing a little research I came upon;

"  x ≡ y means x is defined to be another name for y (but note that ≡ can also mean other things, such as congruence). "

However congruence can mean as little as a similarity, so I guess that you have to determine its meaning from the context in which it is used.

John E. Franklin
2006-02-20 03:09:13

I don't know what ≡ means in krassi's topic.