In 1956, a physicist named John Kelly working at Bell Labs published a paper titled A New Interpretation of Information Rate. In the paper he draws an analogy between the outcomes of a gambling game and the transmission of symbols over a communications channel. For a positive expectation game, Kelly showed that a betting system based on a fixed fraction of the bankroll can make the bankroll grow at an exponential rate in the long run. The exponential growth rate in this case is directly analogous to the rate of information transmission through a communications channel. This book examines the...
In 1956, a physicist named John Kelly working at Bell Labs published a paper titled A New Interpretation of Information Rate. In the paper he draws an...
People have been interested in circles for a long time. One can imagine early humans attaching a cosmic significance to circles. After all, the two greatest objects in the sky, the sun and the moon, are circles. We know that by at least 2000 BC, humans had discovered an important universal property of all circles. If you measure a circle's perimeter (circumference) and divide by its width (diameter) you get a number that is the same for all circles. Today we call this number pi and its value is 3.14159265358979323844.... where the digits go on forever. This book is an exploration of beautiful...
People have been interested in circles for a long time. One can imagine early humans attaching a cosmic significance to circles. After all, the two gr...
This book is the result of a lifelong love of music and an obsession with patterns. The authors have for many years been exploring methods to find, create, describe and analyze patterns. They wrote this book to show how some of these methods can be used to generate rhythms. The methods can produce an almost endless variety of new rhythms along with popular traditional ones. For a lover of music what could be more wonderful than that?
The study of patterns at anything beyond a superficial level does require some mathematics. Fortunately the mathematics can be kept at a very elementary...
This book is the result of a lifelong love of music and an obsession with patterns. The authors have for many years been exploring methods to find,...
There are 50 unique patterns in this book, each on its own physical page.
The authors have for many years been obsessed with finding patterns in nature and in mathematics. This is just a very small sample of some of the interesting patterns they have discovered.
The patterns are named after the German mathematician Elwin Bruno Christoffel (1829-1900). He did not directly produce them, but they are related to some of his work.
Details on how the patterns are created can be found in the book Pattern Generation for Computational Art.
There are 50 unique patterns in this book, each on its own physical page.
The authors have for many years been obsessed with finding patterns in...
This book is a very concise introduction to recursive digital filters. The goal is to get the reader to the point where he or she can understand and use these filters as quickly as possible. To accomplish this we have kept the amount of mathematical background material to a minimum and have included many examples. But make no mistake, this is not a book for dummies or complete idiots. Some degree of mathematical sophistication is required. If you have never used complex numbers and do not know what Euler's identity is, then this book is not for you. If you have a basic physical science...
This book is a very concise introduction to recursive digital filters. The goal is to get the reader to the point where he or she can understand and u...
Books on information theory tend to fall into one of two extreme categories. There are large academic textbooks that cover the subject with great depth and rigor. Probably the best known of these is the book by Cover and Thomas. At the other extreme are the popular books such as the ones by Pierce and Gleick. They provide a very superficial introduction to the subject, enough to engage in cocktail party conversation but little else. This book attempts to bridge these two extremes. This book is written for someone who is at least semi-mathematically literate and wants a concise introduction to...
Books on information theory tend to fall into one of two extreme categories. There are large academic textbooks that cover the subject with great dept...
