Entropy In Information Theory A collection of links to online expository articles on entropy and theory of information, maintained by Roland Gunesch (Penn State). http://www.math.psu.edu/gunesch/entropy.html
Fremlin --- Measure Theory D.H.Fremlin (Aug. 2001), University of Essex. Includes table of contents. http://www.essex.ac.uk/maths/staff/fremlin/mt.htm
Extractions: (in preparation) In this treatise I aim to give a comprehensive description of modern abstract measure theory, with some indication of its principal applications. My intention is that the book should be usable both as a first introduction to the subject and as a reference work. The first two volumes are set at an introductory level; they are intended for students with a solid grounding in the concepts of real analysis, but possibly with rather limited detailed knowledge. The plan of the work is as follows: At present (November 2003) Volumes 1-4 have been published (see sales ), and I have got started on Volume 5. For more details, see contents and index (400KB); also the source files of Volume 1 Volume 2 Volume 3 and Volume 4 , which are printed under copyleft. In the contents pages for individual chapters you will find the codes for TeX files of current drafts, and PostScript files of results-only versions. See here for errata so far observed in published volumes.
Extractions: Claude Shannon (1916- ) and Communication Theory To complete his quantiative analysis of the communication channel, Shannon introduced the entropy rate, a quantity that measured a source's information production rate and also a measure of the information carrying capacity, called the communication channel capacity.
Theory Of Music Resources for learning and teaching music theory to grade 5 of the Associated Board (UK). http://home.clara.net/tedkirk/theory.html
Extractions: If you want me to add a link to your Combinatorics Page, contact Stephen C. Locke at LockeS@fau.edu . I make no promises about any of the pages you might get to from here. These are pages written by other people. As always, if you run across something you don't like, hit the back button. http://www.graphtheory.com/resources.htm
VoS - Voice Of The Shuttle A directory of links to literary criticism and analysis on the Internet, mostly scholarly. http://vos.ucsb.edu/browse.asp?id=2718
Extractions: These are all postscript files. Mostly if you save them as something like file.ps, with the `.ps' and send them to a postscript printer you will be in business. This is not yet finished, but it is getting close! Chapters from the latest revision will gradually appear. Most recent revision: 14th February, 2000 HHH.Chapter2.ps Parabolic compactification and symbols HHH.Chapter3.ps Riemann-Weyl quantization HHH.Chapter4.ps Isotropic algebras HHH.Chapter5.ps Heisenberg and extended Heisenberg algebras HHH.Chapter6.ps Toeplitz operators HHH.Rear.ps Of course, it would be nicer for both of us if you went out and bought a copy.
Extractions: The HTML files. The Postscript file. The DVI file. The LaTeX sources: Foreword. Models of Computations; Polynomial Time and Church's Thesis. Deterministic Computation. Rigid Models. Pointer Machines. Simulation. Universal Algorithm; Diagonal Results. Universal Turing Machine. Uncomputability; Goedel Theorem. Intractability; Compression and Speed-up Theorems. Games; Alternation; Exhaustive Search; Time v. Space. How to Win. Exponentially Hard Games. Reductions; Non-Deterministic and Alternating TM; Time/Space. Fast and Lean Computations. Nondeterminism; Inverting Functions; Reductions. Example of a Narrow Computation: Inverting a Function. Complexity of NP Problems. An NP-Complete Problem: Tiling. Randomness in Computing. A Monte-Carlo Primality Tester. Randomized Algorithms and Random Inputs. Randomness and Complexity. Pseudo-randomness. ... References. You can also click for my papers (some online), my vitae, or my research overview.
Set Theory Page Collection of links related to set theory. http://www.cis.syr.edu/~sanchis/setory.html
Extractions: There are many sites on the Web that contain material explicitly or implicitly related to set theory. This page is intended to collect as many of these sites as possible, and provide links to them. Please submit your URL if you think your page is consistent with this program: email to email@example.com Akman:Barwise Situated Set Theory Sanchis:Operational Set Theory Bounded Set Theory Holmes:New Foundations Home Page ... Logic Links
Extractions: Introduction : Theory of Knowledge Chapter 1 : The Analysis of Knowledge Chapter 2 : Truth and Acceptance Chapter 3 : The Foundation Theory: Infallible Foundationalism Chapter 4 : Fallible Foundations Chapter 5 : The Explanatory Coherence Theory Chapter 6 : Internal Coherence and Personal Justification Chapter 7 : Coherence, Truth, and Undefeated Justification Chapter 8 : Externalism and Epistemology Naturalized Chapter 9 : Skepticism Philosophy 102 Home Page G. J. Mattey's Home Page
The Identity Theory Of Mind Evaluates the theory that holds that states and processes of the mind are identical to states and processes of the brain. From the Stanford Encyclopedia, by J. J. C. Smart. http://plato.stanford.edu/entries/mind-identity/
Extractions: SEP are brain processes, not merely correlated with brain processes. states could be construed as referring to different things, different sequences of temporal stages of Venus, but not necessarily or most naturally so.) find out that the identity holds. Aristotle, after all, thought that the brain was for cooling the blood. Descartes thought that consciousness is immaterial. As remarked above, Place preferred to express the theory by the notion of constitution, whereas Smart preferred to make prominent the notion of identity as it occurs in the axioms of identity in logic. So Smart had to say that if sensation X is identical to brain process Y then if Y is between my ears and is straight or circular (absurdly to oversimplify) then the sensation X is between my ears and is straight or circular. Of course it is not presented to us as such in experience. Perhaps only the neuroscientist could know that it is straight or circular. The professor of anatomy might be identical with the dean of the medical school. A visitor might know that the professor hiccups in lectures but not know that the dean hiccups in lectures.
Extractions: Gestalt psychology began in Germany in 1910. While traveling by train on vacation, a 30-year-old Czech-born psychologist named Max Wertheimer was seized by an idea when he saw flashing lights at a railroad crossing that resembled lights encircling a theater marquee. He got off the train in Frankfurt am Main, where he bought a motion picture toy called a "zoetrope." When a strip of pictures is placed inside and viewed through the slits in a zoetrope, a succession of stationary pictures appear to be a single, moving picture. In his hotel room, Wertheimer made his own picture strips, consisting not of identifiable objects, but of simple abstract lines, ranging from vertical to horizontal. By varying these elements, he was able to investigate the conditions that contribute to the illusion of motion pictures, an effect that is technically known as "apparent movement" Years earlier, Wertheimer had studied in Prague with an Austrian philosopher named Christian von Ehrenfels, who had published a paper in 1890 entitled "On Gestalt Qualities" in which he pointed out that a melody is still recognizable when played in different keys, even though none of the notes are the same, and that abstract form attributes such as "squareness" or "angularity" can be conveyed by a wide range of specific elements. Clearly, argued Ehrenfels, if a melody and the notes that comprise it are so independent, then a whole is not simply the sum of its parts, but a synergistic "whole effect," or gestalt
PR Probability Probability section of the mathematics eprint arXiv http://front.math.ucdavis.edu/math.PR
Extractions: Authors: All AB CDE FGH ... U-Z 4 Jun math.DS/0406059 On a class of one-sided Markov shifts. Ben-Zion Rubshtein DS PR 3 Jun math-ph/0406001 Fluctuations of the one-dimensional polynuclear growth model with external sources. T. Imamura , T. Sasamoto . 43 pages. MP PR 1 Jun quant-ph/0307217 The chaotic chameleon. Richard D. Gill . 7 pages. ( PR 1 Jun quant-ph/0307188 On an Argument of David Deutsch. Richard D. Gill PR 1 Jun quant-ph/0304013 A geometric proof of the Kochen-Specker no-go theorem. Richard D.
Extractions: and Quantum Mechanics in Chapter 2 Keywords: s pace, time, wave, deflection, rotation, black hole, gravitation, fundamental, unified theory, Lorentz transformation, cosmology, analytical, tast, astronomy, string We understand the world by learning and discovering the regularity in our experiences. There are two kinds of regularity, mechanical laws and statistical order. It is Theory of Analytical Space-Time that combines the both theoretically! Now that the new theory, as commented in a special physics review, has allowed us to see the aureole of God through the general effect of deflection or rotation of space-time, would it lead us to see the true face of God or comprehend the mind of God? Turn the key, you open the door. Chapter 1 Chapter 2 Best for IE5.X and 800*600 resolution Download PDF format in English only In case you can not access this website again or the webpages show too slowly, please try the master-site instead:
Extractions: "When it all started 5 years ago, the farthest thing from my mind was any kind of experiment," says Brett Detar, front man for the juliana theory. When asked about his background of musical projects, a background which includes playing guitar for Solid State artist, Zao, he smirks, "Chad Alan and I just wanted to play a show at Illusions, the local dance club. That is all we really needed to be satisfied," he says, laughing, as he recalls the days long gone. 'iWhen he and I started our first band, Pensive, we just wanted to play and have fun... nothing special." But since that time, a lot of things have changed. In May of 1997, as Pensive began to slow down, Brett and Chad agreed upon starting a new project to continue playing music together. At about this same time, Chad was working with Jeremiah Momper, in a musical venture that died rather quickly. After it's collapse, Chad and Jeremiah determined to continue playing together in some type of side project. During this same period, Brett had been discussing the idea of starting a rock band with his good friend Josh Fiedler. Soon, everyone involved in each of these lesser undertakings concluded that the best possible option would be to merge all of their smaller projects together into one collective. Now, with the group of four, only a drummer was needed to complete the lineup. Josh, who previously played in the band Noisome was very fond of working with their drummer Neil Hebrank and recommended him highly to the new band. The group gave him a try and it worked. With Neil as the fifth and final member, the lineup was complete.