What does CBH mean in UNCLASSIFIED

Claude Bernard Horner (CBH) was a British mathematician and academic, known for his contributions to number theory and analysis. He was the Lucasian Professor of Mathematics at the University of Cambridge from 1948 to 1969.

Horner is famous for his work on the approximation of functions using polynomial interpolation, particularly the Horner scheme for evaluating polynomials. He also made significant contributions to the theory of partitions, number theory, and complex analysis.

The Horner scheme is an efficient method for evaluating a polynomial of degree n in the form:

P(x) = a_n x^n + a_{n-1} x^{n-1} + ... + a_1 x + a_0

by reducing it to a series of nested multiplications and additions. The scheme involves repeatedly substituting the value of x into the polynomial and simplifying it.

The Horner scheme is widely used in numerical analysis and scientific computing for polynomial evaluation, root finding, and interpolation. It is particularly useful when the polynomial has a large degree or when the evaluation needs to be done efficiently.

Horner made significant contributions to number theory, including his work on the distribution of prime numbers. He proved several important results related to the Riemann zeta function and the distribution of zeros of the Riemann zeta function.