Ascoli's theorem

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Ascoli's theorem [as′kō‚lēz ‚thir·əm]

(mathematics)

The theorem that a set of uniformly bounded, equicontinuous, real-valued functions on a closed set of a real Euclideann-dimensional space contains a sequence of functions which converges uniformly on compact subsets.

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No references found			He covers real numbers and limits, including the concepts of infinity and sequences, topology, including the Cantor set and fractals, and then progresses to calculus, including the Riemann integral, sequences of functions, power and Fourier series and the exponential function, closing with metric spaces, including Ascoli's theorem. Real analysis by SciTech Book News			ASCII ASCII art ASCII character table ASCII chart ASCII file ASCII graphics ASCII protocol ASCII sort ASCII sort order ASCII terminal ASCII text ASCII transfer ASCII value ASCII-based domain name ASCIIbetical ASCIIbetical order ASCIIbonics ascites Asclepiadaceae Asclepius Asclepius' cup ascocarp ascogenous ascogonium Ascoli Piceno Ascoli's theorem Ascoli, Graziadio Isaia Ascolichenes Ascomycetes Ascomycota ascon ascorbic acid ascospore Ascot Ascothoracica Asculum ascus Ascutney State Park asdic ASDIMPL ASDL ASDO IMPlementation Language Asdreni, Aleksandr Sotir Drenova ASE ASEAN Aseb Aseev, Nikolai Aseev, Nikolai Nikolaevich aseismic Aselges Aselloidea			asco- ASCOA ASCOB ASCOBANS ASCOBIPS ascocarp ascocarp ascocarpic ascocarpic ascocarpous Ascocarps Ascocarps Ascociative Ascococcus ASCOD ASCOE ASCOF Ascog ascogenous ascogonia ascogonia ascogonium ascogonium ASCOL ASCOLBI Ascoli Piceno Ascoli Piceno Ascoli Piceno, Marche Ascoli test Ascoli's theorem Ascoli, Graziadio Isaia ascolichen Ascolichenes ASCOM Ascom Wireless Solutions ascoma ascoma Ascomata Ascomata ASCOMM ASCOMM/TSC Ascomycetae Ascomycetae Ascomycetae ascomycete ascomycete ascomycete Ascomycetes Ascomycetes Ascomycetes ascomycetous ascomycetous ascomycetous ascomycetous fungus Ascomycota Ascomycota Ascomycota Ascomycotina Ascomycotina Ascomycotina

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