‎Goleman, Daniel‎
‎Optimal‎

‎Approximation of Functions - Proceedings of the Symposium on Approximation of Functions, General Motors Research Laboratories, Warren, Michigan, 1964 , (The convergence of sequences of rational functions of best approximation with some free poles - Uses of Hilbert spaces in approximation -Applications of duality in approximation theory - Inclusion theorems for the minimal distance in rational Tchebyscheff approximation with several variables - Rational approximation on finite point sets - Phase methods for polynomial approximation - Optimal and nearly-optimal linear approximation - Approximation by generalized rational functions - Nonlinear approximation -Nonlinear sequence transformations - Approximation theory in the first two decades of electronic computers - Piecewise polynomial interpolation and approximation - Russian literature on approximation in 1958-1964 - Index)‎

‎Elsevier Publishing Company , General Motors Research Laboratories Symposia Malicorne sur Sarthe, 72, Pays de la Loire, France 1965 Book condition, Etat : Bon hardcover, editor's full green printed clothes binding, no dust-jacket grand In-8 1 vol. - 229 pages‎

‎ 1st Edition, 1965 Contents, Chapitres : List of Contributors, Preface, Contents, ix, Text, 220 pages - J.L. Walsh : The convergence of sequences of rational functions of best approximation with some free poles - Arthur Sard : Uses of Hilbert spaces in approximation - R.C. Buck : Applications of duality in approximation theory - Lothar Collatz : Inclusion theorems for the minimal distance in rational Tchebyscheff approximation with several variables - P. Fox, A.A. Goldstein and G. Lastman : Rational approximation on finite point sets - E.L. Stiefel : Phase methods for polynomial approximation - Michael Golomb : Optimal and nearly-optimal linear approximation - E.W. Cheney : Approximation by generalized rational functions - J.R. Rice : Nonlinear approximation - F.L. Bauer : Nonlinear sequence transformations - P.J. Davis : Approximation theory in the first two decades of electronic computers - Garrett Birkhoff and C.R. De Boor : Piecewise polynomial interpolation and approximation - G.G. Lorentz : Russian literature on approximation in 1958-1964 - Index editor's binding is clean with adhesive tracks on the bottom of the spine and the bottom of the boards, inside is clean, few ex-library stamps and markings on the title-page, the main text remains clean and unmarked, a good reading copy‎

‎Compendium of works on optimal process theory. In Russian (ask us if in doubt)/S‎

‎Compendium of works on optimal process theory. In Russian (ask us if in doubt)/Sbornik rabot po teorii optimal'nykh protsessov.. Short description: In Russian (ask us if in doubt).Issue 2. Kaliningrad Kaliningrad State University 1975. 250 p. We have thousands of titles and often several copies of each title may be available. Please feel free to contact us for a detailed description of the copies available. SKUalbda32ae951987ef24‎

‎Probability Error for Optimal Codes in a Gaussian Channel.‎

‎(New York), American Telephone and Telegraph Compagny, 1959. 8vo. In the original blue printed wrappers. In ""The Bell System Technical Journal"", Volume 38, Number 3, pp. Light miscolouring to spine, otherwise a very fine, clean and fresh copy. Pp. 611-656. [Entire volume: Pp. 611-907].‎

‎First printing of Shannon's important 1959-paper in which he showed that an optimal code is built by uniformly placing codewords on an n-dimensional sphere. An upper and a lower bound for the word error rate performance Pew of such a spherical code have been established by Shannon on anAWGN channel for finite n.""A study is made of coding and decoding systems for a continous channel with an additive gaussian noise and subject to an average power limitation at the transmitter. Upper and lower bounds are found for the error probability in decoding with optimal codes and decoding systems. These bounds are close together for signaling rates near channel capacity and also for signaling rates near zero, but diverge in between. Curves exhibiting these bounds are given."" (Shannon p. 611).Hook & Norman: 898. ‎

‎Probability Error for Optimal Codes in a Gaussian Channel.‎

‎(New York), American Telephone and Telegraph Compagny, 1959. Orig. printed wrappers. A stamp on frontwrapper and first leaf. ""The Bell System Technical Journal"", Volume 38, Number 3, pp. 611-907. The Shannon paper: pp. 611-656.‎

‎First edition. ""A study is made of coding and decoding systems for a continous channel with an additive gaussian noise and subject to an average power limitation at the transmitter. Upper and lower bounds are found for the error probability in decoding with optimal codes and decoding systems. These bounds are close together for signaling rates near channel capacity and also for signaling rates near zero, but diverge in between. Curves exhibiting these bounds are given."" (Shannon p. 611). - Hook & Norman: 898.‎

‎Probability of Error for Optimal Codes in a Gaussian Channel. [Manuscript received October 17, 1958].‎

‎New York, American Telephone and Telegraph Company, 1959. 8vo. Volume XXXVIII, 1959 of The Bell System Technical Journal bound in a nice full green cloth with gilt title to spine. Library stamp to top of title page. Binding tight, clean and fresh. Also internally very nice and clean. Pp. 611-656. [Entire volume: 14, (2), 907 pp.]‎

‎First edition.From the introduction to the present article: ""A study is made of coding and decoding systems for a continuous channel with an additive Gaussian noise and subject to an average power limitation at the transmitter. Upper and lower bounds are found for the error probability in decoding with optimal codes and decoding systems. These bounds are close together for signaling rates near channel capacity and also for signaling rates near zero, but diverge between. Curves exhibiting these bounds are given."" Claude Shannon is widely regarded as being the father of information theory and cryptography.See:OOC 898.‎