3 results for "Mathematics"

The Singularity is Near When Humans Transcend Biology

Ray Kurzweil
How Singular? How singular is the Singularity? Will it happen in an instant? Lets consider again the derivation of the word. In mathematics a singularity is a value that is beyond any limit - in essence, infinity. The Singularity as we have discussed it in this book, does not achieve infinite levels of computation, memory, as any other other measurable attribute. But it certainly achieves vast levels of all these qualities, including intelligence. With the reverse engineering of the human brain we will be able to apply the parallel, self-organizing, chaotic, algorithms of human intelligence to enormously powerful computational substrates. This intelligence will then be in a position to improve its own design, both hardware and software, in a rapidly accelerating iterative process.
Viking 2005 652 pages

On the Kinetic Theory of Steady Gas Flows

Lawrence Sirovich
"On the Kinetic Theory of Steady Gas Flows" explores the theoretical underpinnings of gas dynamics through the lens of kinetic theory. This work delves into the mathematical and physical principles governing the behavior of gases in motion, offering insights into steady-state flows. It is invaluable for researchers and students in physics, engineering, and applied mathematics interested in a rigorous treatment of gas dynamics from a kinetic perspective. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Creative Media Partners, LLC 2025-05-22 82 pages