ACT OF UNION BETWEEN THE EASTERN AND WESTERN CHEROKEES. WHEREAS, our fathers have existed as a separate and distinct Nation, in the possession and exercise of the essential and appropriate attributes of sovereignty, from a period extending into antiquity, beyond the records and memory of man; and
A surjective function f from the real numbers to the real numbers possesses an inverse as long as it is one-to-one, i.e. as long as the graph of y = f(x) has, for each possible y value only one corresponding x value, and thus passes the horizontal line test.
Continuous function. In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output. Otherwise, a function is said to be a discontinuous function. A continuous function with a continuous inverse function is called a homeomorphism. Continuity of functions is one of the core concepts of topology, which is treated in full generality below. The introductory portion of this article focuses on the special case where the inputs and out