Arithmetic On Even and Odd Numbers
The following laws can be verified using the properties of divisibility. They are a special case of rules in modular arithmetic, and are commonly used to check if an equality is likely to be correct by testing the parity of each side. As with ordinary arithmetic, multiplication and addition are commutative and associative, and multiplication is distributive over addition. However, subtraction in parity is identical to addition, so subtraction also possesses these properties (which are absent from ordinary arithmetic).
Read more about this topic: Parity (mathematics)
Famous quotes containing the words arithmetic, odd and/or numbers:
“O! O! another stroke! that makes the third.
He stabs me to the heart against my wish.
If that be so, thy state of health is poor;
But thine arithmetic is quite correct.”
—A.E. (Alfred Edward)
“Young people love what is interesting and odd, no matter how true or false it is. More mature minds love what is interesting and odd about truth. Fully mature intellects, finally, love truth, even when it appears plain and simple, boring to the ordinary person; for they have noticed that truth tends to reveal its highest wisdom in the guise of simplicity.”
—Friedrich Nietzsche (1844–1900)
“The only phenomenon with which writing has always been concomitant is the creation of cities and empires, that is the integration of large numbers of individuals into a political system, and their grading into castes or classes.... It seems to have favored the exploitation of human beings rather than their enlightenment.”
—Claude Lévi-Strauss (b. 1908)