Borel

Flueli M, Buffat P A and Borel J P 1988 Real time observation by high resolution electron microscopy (HREM) of the coalescence of small gold particles in the electron beam Surf. Sc/. 202 343... 

Buffat P and Borel J P 1976 Size effect on the melting temperature of gold particles Phys. Rev. A 13 2287... 

Borel J P 1981 Thermodynamical size effect and the structure of small clusters Surf. Sc/. 106 1... 

The structure of the section is as follows. In Section 2.8.2 we give necessary definitions and construct a Borel measure n which describes the work of the interaction forces, i.e. for a set A c F dr, the value /a(A) characterizes the forces at the set A. The next step is a proof of smoothness of the solution provided the exterior data are regular. In particular, we prove that horizontal displacements W belong to in a neighbourhood of the crack faces. Consequently, the components of the strain and stress tensors belong to the space In this case the measure n is absolutely continuous with respect to the Lebesgue measure. This confirms the existence of a locally integrable function q called a density of the measure n such that... 

We recall some definitions which are useful in the work to follow. The smallest a-algebra containing all compact sets in r 9r is called the Borel a-algebra (Landkof, 1966). Any a-additive real-valued function defined on the Borel a-algebra which is finite for all compact sets B c r 9r is called a measure on 9r. Thus, for a measure p and a set A, the a-additivity means... 

Consequently, there exists a measure /x > 0 defined on Borel subsets of dT and moreover... 

In this subsection we construct a nonnegative measure characterizing the work of interacting forces. The measure is defined on the Borel subsets of I. The space of continuous functions defined on I with compact supports is denoted by Co(I). 

Theorem 5.12. A nonnegative measure can he defined on the a-algebra of Borel subsets of I such that the representation... 

One of Wheeler s earliest attempts at formulating a pregeomety started with a so-called Borel set, which we can think of as being just a pristine set of points - or a Bucket of Dust - that has not yet been assembled into a manifold of a particular... 

Bocherens, H., Fizet, M., Mariotti, A., Lange-Badre, B., Vandermeersch, B., Borel, J.P and Bellon, G. 1991a Isotopic biogeochemistry ( C, N) of fossil vertebrate collagen implications for the study of fossil food web including Neandertal Man. Journal of Human Evolution 20 481 92. 

Bushnell CD, Phillips-Bute BG, Laskowitz DT, Lynch JR, Chilukuri V, Borel CO. Survival and outcome after endotracheal intubation for acute stroke. Neurology 1999 52(7) 1374-1381. 

Borel, R, Factors affecting intestinal absorption of highly lipophilic food microconstituents (fat-soluble vitamins, carotenoids and phytosterols), Clin. Chem. Lab. Med., 41, 979, 2003. 

Borel, P. et al.. Carotenoids in biological emulsions solubility, surface-to-core distribution, and release from hpid droplets, J. Lipid Res., 37, 250, 1996. 

Borel, P. et al.. Chylomicron (3-carotene and retinyl palmitate responses are dramatically diminished when men ingest (3-carotene with medinm-chain rather than long-chain triglycerides, J. Nutr, 128, 1861, 1998. 

Tyssandier, V., Lyan, B., and Borel, R, Main factors governing the transfer of carotenoids from emulsion lipid droplets to micelles, Biochim. Biophys. Acta, 1533, 285, 2001. 

Moustacas, A.-M. Nari, J. Borel, M. Noat, G. Ricard, J. 1991. Pectin methylesterase, metal ions and plant cell-wall extension. The role of metal ions in plant cell-wall extension. Eur. J. Biochem. 279 351-354. 

Cillery, P., Monboisse, J.C., Maquart, F.X. and Borel, J.P. (1989). Does oxygen free radical increased formation explain long term complications of diabetes mellitus Med. Hypothesis 29, 47-50. 

This text is probably a late invention but it is nevertheless interesting for that. I cannot locate a manuscript of the Testament, though it was mentioned in Borel s bibliography of alchemy. It was probably written in France in the late 18th century, during the revival of interest in Flamel". From the 1806 text... 

Flamel, Nicholas. Testament of Nicholas Flamel. London Printed by J. E. Hodson, No. 15, Cross-Street, Hatton-Garden and sold only by the editor..., 1806. vp "This text is probably a late invention but it is nevertheless interesting for that. I cannot locate a manuscript of the Testament, though it was mentioned in Borel s bibliography of alchemy. It was probably written in France in the late 18th century, during the revival of interest in Flamel" [from Adam McLean s web site]. Editor I.A.T. 1. Some account of Nicholas Flamel and his works 26p 2. Testament... 20p. 

Borel M, Rapp M, Pasqualini R, Madelmont JC, Godeneche D, Veyre A (1992) Appl Radiat Isot 43 425... 

Borel, P, M. Moussa et al. (2007). Human plasma levels of vitamin E and carotenoids are associated with genetic polymorphisms in genes involved in lipid metabolism. J. Nutr. 137(12) 2653-2659. 

Reboul, E, Abou, L, Mikail, C, Ghiringhelli, O, Andre, M, Portugal, H, Jourdheuil-Rahmani, D, Amiot, MJ, Lairon, D, and Borel, P, 2005. Lutein transport by Caco-2 TC-7 cells occurs partly by a facilitated process involving the scavenger receptor class B type I (SR-BI). Biochem J 387, 455-461. 

Reboul, E, Klein, A, Bietrix, F, Gleize, B, Malezet-Desmoulins, C, Schneider, M, Margotat, A, Lagrost, L, Collet, X, and Borel, P, 2006. Scavenger receptor class B type I (SR-BI) is involved in vitamin E transport across the enterocyte. J Biol Chem 281, 4739 4745. 

---