Significance and Formula of The Digital Root
It helps to see the digital root of a positive integer as the position it holds with respect to the last multiple of nine less than it. For example, the digital root of 11 is 2, which means that 11 is the second number after 9. The digital root of 2035 is 1, which means that 2035-1 is a multiple of nine. A digital root of nine means that the number is a multiple of nine, which is equivalent to a digital root of 9.
With this in mind the digital root of a positive integer may be defined by using Floor function, as
Read more about this topic: Digital Root
Famous quotes containing the words significance, formula and/or root:
“History is the interpretation of the significance that the past has for us.”
—Johan Huizinga (1872–1945)
“Ideals possess the strange quality that if they were completely realized they would turn into nonsense. One could easily follow a commandment such as “Thou shalt not kill” to the point of dying of starvation; and I might establish the formula that for the proper functioning of the mesh of our ideals, as in the case of a strainer, the holes are just as important as the mesh.”
—Robert Musil (1880–1942)
“Today, supremely, it behooves us to remember that a nation shall be saved by the power that sleeps in its own bosom; or by none; shall be renewed in hope, in confidence, in strength by waters welling up from its own sweet, perennial springs. Not from above; not by patronage of its aristocrats. The flower does not bear the root, but the root the flower.”
—Woodrow Wilson (1856–1924)