1,024 research outputs found
Cohen and Milstein Strategic Analysis
No full textCohen Milstein is a medium-sized law firm operating out of six U.S. cities. It is a boutique-style firm specializing in niche areas of law and litigates higher-profile cases other firms avoid. This paper will examine Cohen and Milstein to understand its market position and competitiveness within the legal industry. The legal industry provides a unique set of challenges to firms as technology advances, new laws are imposed, and customer relationships evolve. To explore Cohen and Milstein, I will employ various tools, including Porter’s Five Forces, PESTEL, and SWOT analyses. Following the firm\u27s evaluation through these metrics, strategic recommendations will be provided for Cohen and Milstein
Relativistic corrections to the electromagnetic polarizabilities of compound systems
No full textThe low-energy amplitude of Compton scattering on the bound state of two charged particles of arbitrary masses, charges, and spins is obtained. A case in which the bound state exists due to electromagnetic interaction is considered. The term, proportional to omega (2), is obtained taking into account the first relativistic correction. It is shown that the complete result for this correction differs essentially from the commonly used term Delta alpha, proportional to the rms charge radius of the system. We propose that the same situation can take place in the more complicated case of hadrons
Electric polarizabilities of proton and neutron and the relativistic center-of-mass coordinate
No full textWe argue that the relativistic correction deltaR(c.m.) to the center-of-mass vector can lead to the approximate equality of the proton and neutron electric polarizabilities in the quark model. The explicit form of deltaR(c.m.) depends only on the non-relativistic potential between quarks. In particular, this correction is the same for the potential generated by Lorentz-vector and -scalar interactions. (C) 2002 Elsevier Science B.V. All rights reserved
Compton scattering by nuclei
No full textThe concept of Compton scattering by even-even nuclei from giant-resonance to nucleon-resonance energies and the status of experimental and theoretical researches in this field are outlined. The description of Compton scattering by nuclei starts from different complementary approaches, namely from second-order S-matrix and from dispersion theories. Making use of these, it is possible to incorporate into the predicted nuclear scattering amplitudes all the information available from other channels, viz. photon-nucleon and photon-meson channels, and to efficiently make use of models of the nucleon, the nucleus and the nucleon-nucleon interaction. The total photoabsorption cross section constrains the nuclear scattering amplitude in the forward direction. The specific information obtained from Compton scattering therefore stems from the angular dependence of the nuclear scattering amplitude, providing detailed insight into the dynamics of the nuclear and nucleon degrees of freedom and into the interplay between them. Nuclear Compton scattering in the giant-resonance energy-region provides information on the dynamical properties of the in-medium mass of the nucleon. Most prominently, the electromagnetic polarizabilities of the nucleon in the nuclear medium can be extracted from nuclear Compton scattering data obtained in the quasi-deuteron energy-region. In our description of this latter process special emphasis is laid upon the exploration of many-body and two-body effects entering into the nuclear dynamics. Recent results are presented for two-body effects due to the mesonic seagull amplitude and due to the excitation of nucleon internal degrees of freedom accompanied by meson exchanges. Due to these studies the in-medium electromagnetic polarizabilities are by now well understood, whereas the understanding of nuclear Compton scattering in the Delta-resonance range is only at the beginning. Furthermore, phenomenological methods how to include retardation effects in the scattering amplitude are discussed and compared with model predictions. (C) 2000 Elsevier Science B.V. All rights reserved
High order discretization schemes for stochastic volatility models
No full textIn usual stochastic volatility models, the process driving the volatility of the asset price evolves according to an autonomous one-dimensional stochastic differential equation. We assume that the coefficients of this equation are smooth. Using Itô's formula, we get rid, in the asset price dynamics, of the stochastic integral with respect to the Brownian motion driving this SDE. Taking advantage of this structure, we propose - a scheme, based on the Milstein discretization of this SDE, with order one of weak trajectorial convergence for the asset price, - a scheme, based on the Ninomiya-Victoir discretization of this SDE, with order two of weak convergence for the asset price. We also propose a specific scheme with improved convergence properties when the volatility of the asset price is driven by an Orstein-Uhlenbeck process. We confirm the theoretical rates of convergence by numerical experiments and show that our schemes are well adapted to the multilevel Monte Carlo method introduced by Giles [2008a, 2008b].discretization schemes, stochastic volatility models, weak trajectorial convergence, multilevel Monte Carlo
Another Milstein Hall
No full textA certain Chinese encyclopedia wrote: Animal are divided into: (a) belonging to the emperor (b) embalmed (c) tame (d) sucking pig (e) sirens (f ) fabulous (g) stray dogs (h) included in the present classification (i) frenzied (j) innumerable (k) drawn with a very fine camelhair brush (l) et cetera (m) having just broken the water pitcher (n) that from a long way off look like flies. –– Jorge Louis Borges
Jorge Louis Borges’ list of animals supposedly drawn from his fictional Chinese Encyclopedia the Celestial Emporium of Benevolent Knowledge, highlights the potent absurdities and lacunae to be identified in any taxonomic system.
This thesis speculates that architectural form-making flows not only from geometric or programmatic precepts but also from an ever fluctuating understanding of part-to-part relationships that resists any easy attempts at categorization. Following the historical precedent set by OMA’s Milstein Hall this thesis investigates Rem Koolhaas’ formal, programmatic and rhetorical transgressions to reveal the slippery nature of the relationship between form and content in architecture.
This thesis speculates on the contingencies inherent in such slipperiness to arrive at another Milstein Hall
Sensitivities for Bermudan Options by Regression Methods
No full textIn this article we propose several pathwise and finite difference based methods for calculating sensitivities of Bermudan options using regression methods and Monte Carlo simulation. These methods rely on conditional probabilistic representations which allow, in combination with a regression approach, for efficient simultaneous computation of sensitivities at many initial positions. Assuming that the price of a Bermudan option can be evaluated sufficiently accurate, we develop a method for constructing deltas based on least squares. We finally propose a testing procedure for assessing the performance of the developed methods.American and Bermudan options, Optimal stopping times, Monte Carlo simulation, Deltas, Conditional probabilistic representations, Regression methods
A comparative linear mean-square stability analysis of Maruyama- and Milstein-type methods
No full textIn this article we compare the mean-square stability properties of the ?-Maruyama and ?-Milstein method that are used to solve stochastic differential equations. For the linear stability analysis, we propose an extension of the standard geometric Brownian motion as a test equation and consider a scalar linear test equation with several multiplicative noise terms. This test equation allows to begin investigating the influence of multi-dimensional noise on the stability behaviour of the methods while the analysis is still tractable. Our findings include: (i) the stability condition for the ?-Milstein method and thus, for some choices of ?, the conditions on the step-size, are much more restrictive than those for the ?-Maruyama method; (ii) the precise stability region of the ?-Milstein method explicitly depends on the noise terms. Further, we investigate the effect of introducing partial implicitness in the diffusion approximation terms of Milstein-type methods, thus obtaining the possibility to control the stability properties of these methods with a further method parameter s. Numerical examples illustrate the results and provide a comparison of the stability behaviour of the different methods. © 2010 IMACS. Published by Elsevier B.V. All rights reserved.</p
Non-trivial solution to a simple problem
No full textThe problem of finding the frequencies of small longitudinal oscillations of
a spring having a finite mass and stiffness, attached at one end to a wall and
at the other end to a body of finite mass, is discussed. This problem was
repeatedly proposed at Olympiads for schoolchildren, in various lessons on the
Internet, and even on tests in mechanics for students of universities. In all
the cases known to me, the implied solution was actually wrong. I discuss two
cases: (A) a spring lies on a smooth table, (B) a spring is attached to the
ceiling. It is shown that the solution to this simply formulated problem is
non-trivial.Comment: 6 pages, 2 figure
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