By N. Bourbaki

Les Ã‰lÃ©ments de mathÃ©matique de Nicolas Bourbaki ont pour objet une prÃ©sentation rigoureuse, systÃ©matique et sans prÃ©requis des mathÃ©matiques depuis leurs fondements.

Ce dixiÃ¨me chapitre du Livre d AlgÃ¨bre, deuxiÃ¨me Livre du traitÃ©, pose les bases du calcul homologique.

Ce quantity est a Ã©tÃ© publiÃ© en 1980.

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CASWELL, 1951, Rev. Sci. Instr. 22, 402. BLEWETT, J. , 1952, Phys. Rev. 88, 1197. and D. VENABLE, 1965, Rev Sci Instr. 36, 1401. BOYD,T. , B. T. ROGERS,F. R. , E. L. GINZTON,I. R. NEILSEN,and S. SONKIN,1953, Proc. E. 41, 1584. , E. L. GINZTON,W. W. HANSEN, R. L. KYHL,R. B. NEAL,W. K. H. PANOFSKY, and the Staff of the W. W. Hansen Laboratories of Physics, 1955, Rev. Sci. Instr. 26, 134. CHU,E. , 1951, Report No. 140, Microwave Laboratory, Stanford University. COATES, W. , 1934, Phys. Rev. 46, 542.

3, 1-1233. Particle Accelerator Conference, 1969, IEEE Trans. Nucl. Sci. (in press). 961, edited by A. 4 AvS-1) 109 pp. (out of print). Minutes of tHe Conference on Linear Accelerators for High Energies, 1962, edited by A. van Steenbergen, H. B. Knowles, S. Ohnuma, and C. K. Sinclair (published as Brookhaven Report BNL 6511) '385 pp. (out of print). the Conference on Proton Linear Accelerators at Yale University, 1963, edited by H. B. Knowles (published by the Physics Department of Yale University, New Haven, Conn.

The old grid-focused proton linacs accelerated currents of a few hundred microamperes. With the first alternatinggradient-focused machine at Brookhaven it was hoped that a peak of 5 mA could be reached. That machine now runs at 30 or 40 mA. Peak currents approaching 150 mA have been accelerated in the 50-MeV linac at CERN. Under these conditions beamloading effects begin to appear and space-charge limits are approached. R. has led to a rather complete understanding of beam dynamics under conditions of high charge density.