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Equal signs

There are two meaning of the equal signs:

the first one is that it means equality.

For example

4 = sqrt 2 (2 is equal the suare root of two) or


here it means "exactly the same", or an equality



The second meaning is "example of", "equivalence"

Then x = 5 means that x is the equivalent and to underline the difference mathematicians have created a special sign . This one:≡

x ≡5

These difference are really important in programming with computers!



1. The difference of the two digits composing the number,
divided by three, leaves a remainder of one.

2. The first digit raised to the power indicated by the second,
and then divided by three, leaves a remainder of one.

3. The sum of the prime factors of each age, including one as a
prime factor, is divisible by three. PEIRCE, C. S.

A Theory of Probable Inference; Studies in
Logic (Boston, 1888), p. 163.


Source: Memorabilia mathematica; or, The philomath's quotation-book - Moritz, Robert Édouard, 1868-1940



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