Triangular Roots and Tests For Triangular Numbers
By analogy with the square root of x, one can define the (positive) triangular root of x as the number n such that Tn = x:
An integer x is triangular if and only if 8x + 1 is a square. Equivalently, if the positive triangular root n of x is an integer, then x is the nth triangular number.
Read more about this topic: Triangular Number
Famous quotes containing the words roots, tests and/or numbers:
“A poet must be a psychologist, but a secret one: he should know and feel the roots of phenomena but present only the phenomena themselvesin full bloom or as they fade away.”
—Ivan Sergeevich Turgenev (18181883)
“Although she feeds me bread of bitterness,
And sinks into my throat her tigers tooth,
Stealing my breath of life, I will confess
I love this cultured hell that tests my youth!”
—Claude McKay (18891948)
“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)