Each anti-arborescence represents a product of mean service rates that forms a monomial. The sum of the monomials of a given graph vertex anti-arborescence (or a system state) forms a polynomial. The ...

Notice and Wonder When students become active doers of mathematics, the greatest gains of their mathematical thinking can be realized. NCTM members can engage with PreK-12 resources to support the ...

Recurrent ladders have received considerable attention in the literature. In the present paper, the matrix parameters of a recurrent ladder network with general series and shunt arms are derived in ...

Learn about the world's many landscapes.

The polynomials P g n (X) P n g (X) are defined by n n -term recurrence relations. For the case that g(x) g (x) is a polynomial of degree d d, we prove that at most a d+2 d + 2 term recurrence ...

For the quadratic reversible systems of genus one, all of their periodic orbits are higher-order algebraic curves. When they are perturbed by polynomials of degree n n, the numbers of zeros of their ...