The molecular masses of macromolecules and subunits of the extracellular
hemoglobin from the fresh-water crustaceanDaphnia magnawere deter-mined by analytical ultracentrifugation, multiangle laser light scattering
and electrospray ionization mass spectrometry.
Chapter 3: Generating Functions introduces a central concept in the average-case analysis of algorithms: generating functions - a necessary and natural link between the algorithms that are our objects of study and analytic methods that are necessary to discover their properties.
This chapter introduces analytic combinatorics, a modern approach to the study of combinatorial structures of the sort that we encounter frequently in the analysis of algorithms. The approach is predicated on the idea that combinatorial structures are typically defined by simple formal rules that are the key to learning their properties.
Chapter 6: Trees investigates properties of many different types of trees, fundamental structures that arise implicitly and explicitly in many practical algorithms. Our goal is to provide access to results from an extensive literature on the combinatorial analysis of trees, while at the same time providing the groundwork for a host of algorithmic applications.
The purpose of this chapter is largely to serve as an accessible introduction or a refresher of basic notions regarding analytic functions. We start by recalling the elementary theory of functions and their singularities in a style tuned to the needs of analytic combinatorics. Cauchy’s integral formula expresses coefficients of analytic functions as contour integrals. Suitable uses of Cauchy’s integral formula then make it possible to estimate such coefficients by suitably selecting an appropriate contour of integration.
The primary goal of this chapter is to provide combinatorial illustrations of the power of complex analytic methods, and specifically of the rational–meromorphic framework developed in the previous chapter. At the same time, we shift gears and envisage counting problems at a new level of generality.
A saddle-point of a surface is a point reminiscent of the inner part of a saddle or of a geographical pass between two mountains. If the surface represents the modulus of an analytic function, saddle-points are simply determined as the zeros of the derivative of the function. This chapter presents the following content: Modulus surfaces, saddle point bounds, saddle point asymptotics, applications.
Are you struggling to meet your coursework deadlines? Finding it hard to get to grips with your essay topics? Does your writing sometimes lack structure and style? Would you like to improve your grades? This text covers everything a student needs to know about writing essays and papers in the humanities and social sciences.
A text/reference regarding the structure and function of components used in perfume development and the process of developing perfumes. Covers gas chromatography, mass spectrometry and a host of other analytical techniques; the esthetics and techniques of perfume development; the manifold and ever-changing safety-related requirements of countries and customers; concerns about the environmental impact of materials and impurities which affect the perfumer's work.
186 6. Multilayer Structures 6 Multilayer Structures Fig. 6.1.1 Multilayer dielectric slab structure. Higher-order transfer functions of the type of Eq. (5.7.2) can achieve broader reﬂectionless notches and are used in the design of thin-ﬁlm antireﬂection coatings, dielectric mirrors, and optical interference ﬁlters [615–677,737–770], and in the design of broadband terminations of transmission lines [805–815].
This book reports initial efforts in providing some useful extensions in financial
modeling; further work is necessary to complete the research agenda.
The demonstrated extensions in this book in the computation and modeling
of optimal control in finance have shown the need and potential for further
areas of study in financial modeling. Potentials are in both the mathematical
structure and computational aspects of dynamic optimization. There are needs
for more organized and coordinated computational approaches.
The chemical sensor plays an essential role in the fields of environmental conservation and monitoring, disaster and disease prevention, and industrial analysis. A typical chemical sensor is a device that transforms chemical information in a selective and reversible way, ranging from the concentration of a specific sample component to total composition analysis, into an analytically useful signal.
Sound emission studies have been launched in the early 1950s. The technology
before the mid-1960s, mainly in electronics engineering and materials, enabling
rapid development of the method. Currently technical pronounced
applied to a number of research areas, both in civil and industrial use.
It is more than a century since Karl Pearson invented the concept of Principal
Component Analysis (PCA). Nowadays, it is a very useful tool in data analysis in
many fields. PCA is the technique of dimensionality reduction, which transforms
data in the high-dimensional space to space of lower dimensions. The advantages of
this subspace are numerous. First of all, the reduced dimension has the effect of
retaining the most of the useful information while reducing noise and other
undesirable artifacts. Secondly, the time and memory that used in data processing
Classical differential geometry is the approach to geometry that takes full
advantage of the introduction of numerical coordinates into a geometric
space. This use of coordinates in geometry was the essential insight of Rene
Descartes that allowed the invention of analytic geometry and paved the way
for modern differential geometry. The basic object in differential geometry
(and differential topology) is the smooth manifold. This is a topological
space on which a sufficiently nice family of coordinate systems or "charts"
This volume pulls together and republishes, with some editing, updating, and
additions, articles written during 1978-86 for internal use within the CIA Directorate
of Intelligence. Four of the articles also appeared in the Intelligence Community
journal Studies in Intelligence during that time frame. The information is relatively
timeless and still relevant to the never-ending quest for better analysis.
The articles are based on reviewing cognitive psychology literature concerning how
people process information to make judgments on incomplete and ambiguous
Another aspect of the distinction between mere experience and an experience
involves the relationship between doing and undergoing. ‘A man does something; he
lifts, let us say, a stone. In consequence he undergoes, suffers, something: the
weight, strain, texture of the surface of the thing lifted. The properties thus
undergone determine further doing’ (p. 44). Dewey goes on to say, ‘An experience
has pattern and structure, because it is not just doing and undergoing in alternation,
but consists of them in relationship. … ...
The selection of neo-institutional theory as theoretical lens for the dissertation rests on several
First, the theory bears significant potential to generate fresh insights into the
strategy formation process (Mintzberg and Lampel, 1999; Hensmans, 2003). Second, it con-
ceptualizes very well the environment, its actors, its creation, and its internal functioning