Author: Ehud Hrushovski Genre: Mathematics Publisher: Princeton University Press ISBN: 9780691161693 Book Pages: 232 Format: PDF, ePub & Mobi
Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness and uniformity statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a connected topology with many thoroughgoing analogies to the real topology on the set of complex points, and it has become an important tool in algebraic dynamics and many other areas of geometry. This book lays down model-theoretic foundations for non-archimedean geometry. The methods combine o-minimality and stability theory. Definable types play a central role, serving first to define the notion of a point and then properties such as definable compactness. Beyond the foundations, the main theorem constructs a deformation retraction from the full non-archimedean space of an algebraic variety to a rational polytope. This generalizes previous results of V. Berkovich, who used resolution of singularities methods. No previous knowledge of non-archimedean geometry is assumed. Model-theoretic prerequisites are reviewed in the first sections.
Author: Skip Williams Genre: Publisher: ISBN: STANFORD:36105005106377 Book Pages: 284 Format: PDF, ePub & Mobi
The potential of degenerate-four wave mixing (DFWM) spectroscopy for the analysis of molecular species in high-pressure, high-temperature environments has been explored theoretically and experimentally. In addition, the reliability of DFWM has been assessed by comparing to laser induced fluorescence (LIF) measurements under the same experimental conditions. The results of these studies suggest that DFWM can provide quantitative information regarding trace molecular species in environments in which collisions and source emission hinder analysis by other means. DFWM has been used to detect the CH radical in an atmospheric-pressure oxyacetylene flame via the (0,0) and (1,1) bands of the A2 delta-X2 Pi system. The CH radical is a minor flame species and is important for understanding the primary reaction zone of many combustion environments. We have observed CH radicals with comparable sensitivity by both DFWM and LIF. From these measurements, we estimate a DFWM detection limit of 4 x 10(exp 11) molecules/ cu cm (4 x 10(exp 9) molecules/cu cm per quantum-state) for CH at atmospheric pressure. Vibrational temperatures and concentration profiles of CH obtained by both techniques are in good agreement.
Author: Edward M. Wu Genre: Composite materials Publisher: ISBN: MINN:31951D03698596G Book Pages: 498 Format: PDF, ePub & Mobi
The objective of this report is to disseminate experimental data of matrix-dominated time-dependent deformation and time-dependent damage in graphite-epoxy composite. The composite specimens were + or - 45 T300/5208 laminates tested in tension with complete instrumentation for stress, strain, and time recordings. Experimental data was recorded and archived in digital form. Noises in the data were minimized by digital elimination of the wild points in the excitation voltage and by a digital valuable low pass frequency filter with the cut-off frequency matched to the expected materials response. The data were presented both graphically and numerically. ...
From the #1 New York Times bestselling author of the Breathless Trilogy andMastered, comes Dominated, the second novel in the Enforcers seriesa bold new direction in erotic romance that explores the games men and women play, and the price they're willing to pay for pleasure. Coming February 2016: The Enforcers Book III: Kept
Author: Emma M. Green Genre: Fiction Publisher: Addictive Publishing ISBN: 9791025727775 Book Pages: Format: PDF, ePub & Mobi
Romance, passion, thrills, eroticism… Will you give in to temptation? Polar opposites, and yet attracted like magnets… When Alma Lancaster lands her dream job at King Productions, she is determined to move forward without letting the past drag her down. Hardworking and ambitious, she may be in the movie business, but she’s not the type to let her imagination run away with her. Her career is her priority. Love will have to wait! But when she meets her CEO for the first time, the gorgeous and charismatic Vadim King, she immediately recognizes Vadim Arcadi, the only man she’s ever really loved. Twelve years after their painful separation, the lovers are reunited. Why did he change his name? How did he get to the head of this cinema empire? And more importantly, will they manage to get back together – despite the painful memories, the passion that devours them and the past that haunts them? Don’t miss Caught - Dominated by a Billionaire, the latest series from Emma M. Green, author of the bestseller One Hundred Facets of Mr. Diamonds!