Part III The Mobius Stnp Approach to Synthesis of Topologtcal Stereolsomers A Briuds and wreaths B The Mabms stnp approach 1 The THYME polyethers 2 Total synthesis of the first molecular MBbms stnp 3 Topology of the molecular MBbms stnp the MBbms ladders 4 Topological chlrahty of the MBbms ladder with three dtierentlated rungs 5 Breaking the rungs of a MGbms ladder C Synthesis of molecular knots

We show that various kinds of one-photon quantum states studied in the field of quantum optics admit ladder operator formalism and bear generally deformed oscillator algebraic structure. The two-photon case is also considered. We obtain the ladder operator formalisms of two general states defined in the even/odd Fock space. The two-photon states also bear generally deformed oscillator algebraic...

We show that various kinds of one-photon quantum states studied in the field of quantum optics admit ladder operator formalisms and have the generally deformed oscillator (GDO) algebraic structure. The two-photon case is also considered. We obtain the ladder operator formalisms of two general states defined in the even/odd Fock space. The two-photon states may also have a GDO algebraic structur...

A lattice-ladder adaptive decorrelation filtering (ADF) algorithm is proposed with the aim of developing a more efficient co-channel speech separation system. It is shown that based on the joint forward and backward linear predictions, a lattice-ladder structure can be derived for ADF. Experimental results show that the proposed algorithm is effective in reducing cross-interference between co-c...

As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that some specific subsets of the higher-order supersymmetric partners of the harmonic oscillator possess third-order differential ladder operators. This allows us to introduce a s...

A coprime labeling of a simple graph of order n is a labeling in which adjacent vertices are given relatively prime labels, and a graph is prime if the labels used can be taken to be the first n positive integers. In this paper, we consider when ladder graphs are prime and when the corresponding labeling may be done in a cyclic manner around the vertices of the ladder. Furthermore, we discuss c...

Climbing the Job Ladder: New Evidence of Gender Inequity An explanation for the gender wage gap is that women are less able or less willing to ‘climb the job ladder.’ However, the empirical evidence on gender differences in job mobility has been mixed. Focusing on a subsample of younger, university-educated workers from an Australian longitudinal survey, we find strong evidence that the dynamic...

This project studied whether a digital interlocking which had been programmed with ladder logic (Boolean program) would obey generic safety properties. This was carried out by translating the ladder logic into an alternate representation and applying various techniques to allow specification of safety properties. Finally, a proof engine was used to formally verify if these properties were fulfi...

The reconstructive ladder and the reconstructive elevator have withstood the test of time as didactic tools for resident education. Over time, many alternative models have been suggested to incorporate the technological advances in plastic surgery, but none of them have focused on the patient. Changes in practice and the trend toward personalized health care demand a 360-degree evaluation and s...