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A mathematical theory of communication
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This final installment of the paper considers the case where the signals or the messages or both are continuously variable, in contrast with the discrete nature assumed until now.Abstract:
In this final installment of the paper we consider the case where the signals or the messages or both are continuously variable, in contrast with the discrete nature assumed until now. To a considerable extent the continuous case can be obtained through a limiting process from the discrete case by dividing the continuum of messages and signals into a large but finite number of small regions and calculating the various parameters involved on a discrete basis. As the size of the regions is decreased these parameters in general approach as limits the proper values for the continuous case. There are, however, a few new effects that appear and also a general change of emphasis in the direction of specialization of the general results to particular cases.read more
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Noise in the nervous system.
TL;DR: How noise affects neuronal networks and the principles the nervous system applies to counter detrimental effects of noise are highlighted, and noise's potential benefits are discussed.
Journal ArticleDOI
GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
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Coulon,S. T. Countryman,P. Couvares,P. B. Covas,E. E. Cowan,David Coward,M. J. Cowart,D. C. Coyne,R. Coyne,Jolien D. E. Creighton,Teviet Creighton,Jonathan Cripe,M. Croquette,S. G. Crowder,T. J. Cullen,A. Cumming,L. Cunningham,E. Cuoco,T. Dal Canton,G. Dálya,Stefan L. Danilishin,S. D'Antonio,Karsten Danzmann,Abhijit Dasgupta,C. F. Da Silva Costa,L. E. H. Datrier,V. Dattilo,I. Dave,M. Davier,Derek Davis,E. J. Daw,D. DeBra,M. Deenadayalan,Jerome Degallaix,M. De Laurentis,Samuel Deléglise,W. Del Pozzo,L. M. DeMarchi,Nicholas Demos,T. Dent,R. De Pietri,J. Derby,R. De Rosa,C. De Rossi,R. DeSalvo,O. de Varona,S. Dhurandhar,M. C. Díaz,Tim Dietrich,L. Di Fiore,M. Di Giovanni,T. Di Girolamo,A. Di Lieto,Binlei Ding,S. Di Pace,I. Di Palma,F. Di Renzo,A. Dmitriev,Zoheyr Doctor,F. Donovan,K. L. Dooley,S. Doravari,I. Dorrington,T. P. Downes,M. Drago,J. C. Driggers,Zhihui Du,J.-G. Ducoin,P. Dupej,S. E. Dwyer,P. J. Easter,T. B. Edo,M. Edwards,A. Effler,P. Ehrens,J. Eichholz,S. S. Eikenberry,M. Eisenmann,R. A. Eisenstein,Reed Essick,H. Estelles,D. Estevez,Zachariah B. Etienne,T. Etzel,Matthew Evans,Timothy Evans,V. Fafone,H. Fair,Stephen Fairhurst,Xi-Long Fan,S. Farinon,Ben Farr,Will M. Farr,E. J. Fauchon-Jones,M. Favata,M. Fays,M. Fazio,C. Fee,J. Feicht,Martin M. Fejer,F. Feng,A. Fernandez-Galiana,I. Ferrante,E. C. Ferreira,T. A. Ferreira,Federico Ferrini,F. Fidecaro,Irene Fiori,D. Fiorucci,Maya Fishbach,R. P. Fisher,J. M. Fishner,M. Fitz-Axen,R. Flaminio,M. Fletcher,Eric B. Flynn,H. Fong,José A. Font,P. W. F. Forsyth,J.-D. Fournier,S. Frasca,F. Frasconi,Zsolt Frei,Andreas Freise,Rosemary Frey,V. Frey,Peter Fritschel,V. V. Frolov,Paul Fulda,M. Fyffe,H. A. G. Gabbard,B. U. Gadre,S. M. Gaebel,Jonathan Gair,Luca Gammaitoni,Miftar Ganija,S. G. Gaonkar,Alejandro Garcia,Cecilio García-Quirós,F. Garufi,B. Gateley,S. Gaudio,G. Gaur,V. Gayathri,G. Gemme,E. Genin,A. Gennai,D. George,John George,László Á. Gergely,V. Germain,S. 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Lorenzini,V. Loriette,M. Lormand,G. Losurdo,J. D. Lough,Carlos O. Lousto,Geoffrey Lovelace,Marcus E. Lower,H. Lück,D. Lumaca,Andrew Lundgren,Ryan S. Lynch,Y. Q. Ma,R. Macas,S. Macfoy,M. MacInnis,D. M. Macleod,A. Macquet,F. Magana-Sandoval,L. Magaña Zertuche,Ryan Magee,Ettore Majorana,I. Maksimovic,A. Malik,N. Man,Vuk Mandic,V. Mangano,G. L. Mansell,M. Manske,M. Mantovani,Fabio Marchesoni,F. Marion,Szabolcs Marka,Zsuzsa Márka,Charalampos Markakis,A. S. Markosyan,Alex Markowitz,E. Maros,Antonio Marquina,Sylvain Marsat,F. Martelli,I. W. Martin,Roland Martin,D. V. Martynov,K. Mason,E. Massera,A. Masserot,T. J. Massinger,M. Masso-Reid,S. Mastrogiovanni,Andrew Matas,Fabrice Matichard,L. Matone,Nergis Mavalvala,N. Mazumder,J. J. McCann,R. L. McCarthy,David E. McClelland,S. McCormick,L. McCuller,S. C. McGuire,J. McIver,D. J. McManus,Terry G. McRae,Sean T. McWilliams,Duncan Meacher,G. D. Meadors,Moritz Mehmet,Andrew Mehta,J. Meidam,Andrew Melatos,G. Mendell,R. A. Mercer,L. Mereni,E. L. Merilh,M. Merzougui,S. Meshkov,C. Messenger,Cody Messick,R. Metzdorff,P. M. Meyers,Haixing Miao,C. Michel,H. Middleton,Eugeniy E. Mikhailov,Leopoldo Milano,A. L. Miller,Adam A. Miller,Margaret Millhouse,J. C. Mills,M. C. Milovich-Goff,Olivier Minazzoli,Y. Minenkov,A. Mishkin,C. Mishra,T. Mistry,Subhabrata Mitra,V. P. Mitrofanov,G. Mitselmakher,R. Mittleman,G. Mo,D. Moffa,K. Mogushi,Satyanarayan Ray Pitambar Mohapatra,M. Montani,C. J. Moore,D. Moraru,G. Moreno,Soichiro Morisaki,B. Mours,C. M. Mow-Lowry,Arunava Mukherjee,Debnandini Mukherjee,Soma Mukherjee,N. Mukund,A. Mullavey,Jesper Munch,E. A. Muñiz,M. Muratore,P. G. Murray,Alessandro Nagar,I. Nardecchia,L. Naticchioni,R. K. Nayak,Julia W. Neilson,Gijs Nelemans,T. J. N. Nelson,M. Nery,A. Neunzert,K. Y. Ng,S. W. S. Ng,P. H. Nguyen,David A. Nichols,Alex B. Nielsen,Samaya Nissanke,Alexander H. Nitz,F. Nocera,C. North,L. Nuttall,Martin Obergaulinger,J. Oberling,Brendan O'Brien,G. D. O'Dea,G. H. Ogin,J. J. Oh,Seog Oh,Frank Ohme,H. Ohta,M. 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Puppo,Michael Pürrer,H. Qi,V. Quetschke,P. J. Quinonez,E. A. Quintero,R. Quitzow-James,F. J. Raab,H. Radkins,N. Radulescu,P. Raffai,S. Raja,C. Rajan,B. Rajbhandari,Malik Rakhmanov,K. E. Ramirez,A. Ramos-Buades,Javed Rana,K.S.J. Rao,P. Rapagnani,Vivien Raymond,M. Razzano,Jocelyn Read,Tania Regimbau,L. Rei,Stuart Reid,David H. Reitze,W. Ren,F. Ricci,C. J. Richardson,Jonathan Richardson,Paul M. Ricker,G. Riemenschneider,K. Riles,M. Rizzo,N. A. Robertson,R. Robie,Florent Robinet,A. Rocchi,L. Rolland,J. G. Rollins,V. J. Roma,Marco Romanelli,Rocco Romano,C. L. Romel,J. H. Romie,K. Rose,D. Rosińska,S. G. Rosofsky,M. P. Ross,Sheila Rowan,A. Rüdiger,P. Ruggi,G. Rutins,Kevin M. Ryan,Surabhi Sachdev,T. Sadecki,M. Sakellariadou,Om Sharan Salafia,L. Salconi,M. Saleem,F. Salemi,A. Samajdar,L. Sammut,E. J. Sanchez,L. E. Sanchez,Nicolas Sanchis-Gual,V. Sandberg,J. R. Sanders,K. A. Santiago,Nikhil Sarin,B. Sassolas,Bangalore Suryanarayana Sathyaprakash,Peter R. Saulson,O. Sauter,Richard L. Savage,P. 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Transmission of information
TL;DR: In this article, a quantitative measure of information is developed which is based on physical as contrasted with psychological considerations, and how the rate of transmission of this information over a system is limited by the distortion resulting from storage of energy is discussed from the transient viewpoint.
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TL;DR: In this paper, it was shown that the wave shape depends somewhat on the type of circuit over which intelligence is to be transmitted and that for most cases the optimum wave is neither rectangular nor a half cycle sine wave as is frequently used but a wave of special form produced by sending a simple rectangular wave through a suitable network.