220 research outputs found
Sofic groups and diophantine approximation
No full textWe prove the algebraic eigenvalue conjecture of J. Dodziuk, P. Linnell, V. Mathai, T. Schick, and S. Yates (see [2]) for sofic groups. Moreover, we give restrictions on the spectral measure of elements in the integral group ring. Finally, we define integer operators and prove a quantization of the operator norm below 2. To the knowledge of the author, there is no group known that is not sofic. (c) 2007 Wiley Periodicals, Inc
Thom form in equivariant Cech-de Rham theory
No full textIn the present paper, we provide the foundation of a G-equivariant Cechde Rham theory for a compact Lie group G by using the Cartan model of equivariant differential forms. Our approach is quite elementary without referring to the Mathai Quillen framework. In particular, by a direct computation, we give an explicit formula of the U(l)-equivariant Thom form of C-l, which deforms the classical BochnorMartinelli kernel. Also, we discuss a version of equivariant RiemannRoch formula
Cleanthes, Chrysippus and the Pythagorean Golden Verses
No full textCITATION: Thom, J. C. 2001. Cleanthes, Chrysippus and the Pythagorean Golden Verses. Acta Classica, 44(1).This article re-examines the literary relationship between the Stoics Cleanthes and Chrysippus and the Pythagorean Golden Verses. Contrary to scholarly consensus, I shall argue that the two Stoics show literary dependence on the Pythagorean poem, and not vice versa. Previous scholars have dated the Golden Verses sometime in the Imperial period and they consequently either argue for direct dependence of the Golden Verses on the Stoic authors, or for a shared dependence on a hypothetical third text. If one examines the literary relationships between the various texts critically, while bracketing the chronological problem, it becomes evident that the far more traditional Pythagorean poem must have been used by the more sophisticated Stoic authors, instead of the author of the former having simplified his Stoic sources. This conclusion has important implications for the value of the Golden Verses within the Pythagorean tradition.Publisher's versio
Thom condition and Monodromy
No full textWe give the definition of the Thom condition and we show that given any germ
of complex analytic function on a complex analytic
space , there exists a geometric local monodromy without fixed points,
provided that , where is the
maximal ideal of . This result generalizes a well-known
theorem of the second named author when is smooth and proves a statement by
Tibar in his PhD thesis. It also implies the A'Campo theorem that the Lefschetz
number of the monodromy is equal to zero. Moreover, we give an application to
the case that has maximal rectified homotopical depth at and show that
a family of such functions with isolated critical points and constant total
Milnor number has no coalescing of singularities.Comment: 25 pages, 6 figure
Thom condition and monodromy
No full textWe give the definition of the Thom condition and we show that given any germ of complex analytic function f : (X , x) → (C, 0) on a complex analytic space X , there exists a geometric local monodromy without fixed points, provided that f ∈ m2 X,x , where mX,x is the maximal ideal of OX,x . This result generalizes a well-known theorem of the second named author when X is smooth and proves a statement by Tibar in his PhD thesis. It also implies the A’Campo theorem that the Lefschetz number of the monodromy is equal to zero. Moreover, we give an application to the case that X has maximal rectified homotopical depth at x and show that a family of such functions with isolated critical points and constant total Milnor number has no coalescing of singularities
Problem Solving in Endodontics: Prevention Identification and Management
No full textvii. 582 hal.; 27 c
Portrait of Senator Thomas Carey Hennings, Jr.
No full textHandwritten inscription: \u27To my good friend Felton M. Johnston with highest admiration and esteem. Thom C. Hennings Jr.\u27https://egrove.olemiss.edu/fmjohnston/1203/thumbnail.jp
Non-invasive water content estimation in a tuff wall by DTS
No full textUndesired presence of water in historical masonries has a negative effect on the walls and causes deterioration of decorative works covering the walls, such as frescoes and valuable plasters. To prevent this, non-invasive moisture measurements are needed that avoid damage during masonry inspection caused by sample taking or probe insertion. Active heated distributed temperature sensing (DTS) with optical fibres is widely used in hydrology to assess soil moisture content. The aim of this study is to examine the potential of this technique for non-invasive water content measurements in a real scale wall. The tested masonry is made of yellow Neapolitan tuff bricks, a material widely used in historical buildings of Campania (Southern Italy). Distributed temperature measurements are carried out with three different heating strategies (different power and duration) during the drying process following the complete saturation of the wall. The acquired temperature data are then processed with three different methods (estimators), so to identify the best combination of heating strategy and data processing approach. Despite the presence of a significant bias, it is possible to identify relationships between the gravimetric moisture content and the different estimators. Those relationships are influenced to a large degree by the thermal contact between the DTS cable and the masonry. This research shows it is possible to measure water content in tuff masonry using non-invasive active heated fibre optic cable when establishing good thermal contact between the cable and the masonry.Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Water Resource
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