for any collection of positive integers s1, s2, . . . , sl. By definition, Lis(1) = ζ(s), s ∈ Z, s1 ≥ 2, s2 ≥ 1, . . . , sl ≥ 1. (4.2) Taking, as before for multiple zeta values, Lixs(z) := Lis(z), Li1(z) := 1, (4.3) let us extend action of the map Li : w 7→ Liw(z) by linearity on the graded algebra H (not H, since multi-indices are coded by words in H). Lemma 4.1. Let w ∈ H be an arbitrary non...

We need to put in an abstract, but we can do this last. 1 Markov Polynomials We define Markov polynomials to be triples of polynomials (f(x,y,z), g(x,y,z), h(x,y,z)) that satisfy the relation f 2 + g + h = x + y + z xyz fgh Equivalently, we may rewrite this as f 2 + g + h fgh = K(x, y, z), K(x, y, z) := x + y + z xyz Clearly the triple (x,y,z) satisfies this relation. To generate another Markov...

A function H(x,z), in the integer variables x and z, is called hypergeometric if H(x+1,z)/H(x,z) and H(x,z+1)/H(x,z) are rational functions of x and z. In this article we consider only those hypergeometric functions which are a ratio of products of factorials (we call such hypergeometric functions purehypergeometric). A P-recursive function is a function that satisfies a linear recurrence relat...

This thesis describes the design and implementation of an optical-electrical subsampling down-conversion receiver that employs EA modulation. Accurate subsampling of an electrical RF signal in the optical domain is achieved by using a low-jitter mode-locked-laser and a high-bandwidth interferometer. The sub-sampled information is then digitized by an optical-electrical continuous-time (CT) EA a...

This paper proposes simulation and comparison of BTB (back-to-back) system combining bidirectional isolated dc/dc converters and modular multilevel cascade PWM converters [1]. The system consists of multiple converter cells connected in cascade per phase at both front ends. Each converter cell consists of a bidirectional isolated medium-frequency dc/dc converter and two voltagesource H-bridge (...

This paper presents a 4th order CLCL resonant converter which is suitable for constant current power supply applications. This converter is designed with Immittance characteristic with two inductors and two capacitors in resonant network. A detailed analysis and design process of a 200w converter as a constant current supply have been provided and simulation results are verified with results of...

Some applications such as fuel cells or photovoltaic panels offer low output voltage, and it is essential to boost this voltage before connecting the grid through an inverter. The Z-network converter can be used for DC-DC conversion enhance of renewable energy sources. However, boosting capabilities traditional converters are limited, utilization higher parts count makes bulky expensive. In pap...