Different Forms of Welfare Provision for Diverse Suburban Fabrics: Three Examples From Italy

Binary Forms with Three Different Relative Ranks

Suppose f(x, y) is a binary form of degree d with coefficients in a field K ⊆ C. The K-rank of f is the smallest number of d-th powers of linear forms over K of which f is a K-linear combination. We prove that for d ≥ 5, there always exists a form of degree d with at least three different ranks over various fields. The K-rank of a form f (such as x3y2) may depend on whether -1 is a sum of two s...

Market Provision of Broadcasting : A Welfare Analysis

This paper presents a theory of the market provision of broadcasting and uses it to address the nature of market failure in the industry. Equilibrium advertising levels may be too low or too high, depending on the nuisance cost to viewers, the substitutability of programs, and the expected benefits to advertisers from contacting viewers. The equilibrium amount of programming may also be below o...

development of different optical methods for determination of glucose using cadmium telluride quantum dots and silver nanoparticles

a simple, rapid and low-cost scanner spectroscopy method for the glucose determination by utilizing glucose oxidase and cdte/tga quantum dots as chromoionophore has been described. the detection was based on the combination of the glucose enzymatic reaction and the quenching effect of h2o2 on the cdte quantum dots (qds) photoluminescence.in this study glucose was determined by utilizing glucose...

Investigation of the Tearing Performance of Fabrics with Various Constructions, Woven from Different Yarn Spinning Systems

From sets to functions: Three elementary examples

In the paper “On the foundations of combinatorial theory III. Theory of binomial enumeration” [7-j, Mullin and Rota developed the theory of polynomials of binomial type (definitiou below). They observed that in many cases these sequences of polynomials and the linear relations between them, given by the so-called connection constants, could be treated set-theoretically. But the problem of exten...