We present a density result for the norm of the fundamental unit in a real quadratic order that follows from an equidistribution assump tion for the in nite Frobenius elements in the class groups of these orders

We reveal the existence of dynamically stable composite topological solitons in Bessel photonic lattices imprinted in focusing Kerr-type nonlinear media. The new stable composite solitons are made of a vortex-ring with unit topological charge incoherently coupled to a fundamental soliton. The stabilization of the otherwise highly azimuthally unstable vortex-rings is provided under suitable cond...

functions of fundamental building blocks enables designers to optimize costs and propagation delays of the larger units built from them. A fundamental building block of an arithmetic logic unit (ALU) is the binary adder. In this article, we examine the implementation of fixed-point adders on Xilinx 4000 series FPGA chips and cost and delay functions of various addition algorithms. On the basis ...

We present a density result for the norm of the fundamental unit in a real quadratic order that follows from an equidistribution assumption for the infinite Frobenius elements in the class groups of these orders.

In this lecture we be begin our tour of discrete mathematics and algorithms by looking at one of the most fundamental and classic problems in combinatorial optimization and graph theory, computing the edge connectivity of an undirected, unweighted graph. In the next few lectures we will take a more principled and fundamental approach to graph theory and connectivity. The goal of today is to get...

A fundamental assumption of cognitive science is that the individual is the correct unit of analysis for understanding human intelligence. I present evidence that this assumption may have limited utility, that the social networks containing the individuals are an important additional unit of analysis, and that this " network intelligence " is significantly mediated by non-linguistic processes. ...

Complexes of the gene 5 protein with a variety of oligodeoxynucleotides, ranging in length from two to eight and having several different sequences, have been formed and crystallized for x-ray diffraction analysis. The crystallographic parameters of four different unit cells, all of which are based on hexagonal packing arrangements, indicate that the fundamental unit of the complex is composed ...

5 Native XML Databases 10 5.1 XML data models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 5.2 Fundamental unit of storage . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 5.3 Storage Formats . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 5.3.1 Text-Based Native XML Databases . . . . . . . . . . . . . . . . . . . . 10 5.3.2 Model-Based N...

In this article we compute fundamental units for three parametric families of number fields of degree 4 with unit rank 2 and 3 generated by polynomials with Galois group D4 and S4.

The binary counter is a fundamental unit of computer operation. The goal of this project is to lower the supply voltage and find the optimal supply voltage which provided less power