The concept can be extended to higher dimensions, for example forming a 6-cell octahedral neighborhood for a cubic cellular automaton in three dimensions.
The von Neumann neighbourhood of a point is the set of points at a Manhattan distance of 1.
von Neumann neighborhood of range r
An extension of the simple von Neumann neighborhood described above is to take the set of points at a Manhattan distance of r>1. This results in a diamond-shaped region (shown for r=2 in the illustration). These are called von Neumann neighborhoods of range or extent r. The number of cells in a d-dimensional von Neumann neighborhood of range r is the Delannoy numberD(d,r).
He was a pioneer of the application of operator theory to quantum mechanics, in the development of functional analysis, a principal member of the Manhattan Project and the Institute for Advanced Study in Princeton (as one of the few originally appointed), and a key figure in the development of game theory and the concepts of cellular automata, the universal constructor and the digital computer. He published 150 papers in his life; 60 in pure mathematics, 20 in physics, and 60 in applied mathematics. His last work, an unfinished manuscript written while in the hospital, was later published in book form as The Computer and the Brain.
In this episode, we cover the history of the 20th century Hungarian-American John von Neumann, one of the most pivotal figures of the 20th century, especially notable for his contributions to the creation of the atom bomb.
Sources: https://docs.google.com/document/d/1JD1YvgiMgnSL0VvQzHIk_jII6YFnuF550H4EIuflmsg/edit?usp=sharing
DISCORD ►► https://discord.gg/Jd3tCeK
PATREON ►► https://www.patreon.com/moderndaymath
published: 29 Jun 2020
John Von Neumann Interview
John Von Neumann appears on the television program "America's Youth Wants To Know". He made this appearance when he was the Commissioner of the Atomic Energy Commission.
published: 17 Jul 2010
Von Neumann Architecture - Computerphile
Von Neumann Architecture is how nearly all computers are built, but who was John Von Neumann and where did the architecture come from? Professor Brailsford tells us about 'Uncle Johnny'
Extra thanks to our super sleuth secret Princeton based photographer...
https://www.facebook.com/computerphile
https://twitter.com/computer_phile
This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: https://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com
published: 13 Feb 2018
John Von Neumann : The Ultimate mathematician & Programmer | The only documentry on John von neumann
#johnvonneumann
#johnvonneumanndocumentary
published: 15 Jan 2021
John Von Neumann Documentaire Francais Complet
published: 04 Dec 2015
1960s USA, Interviews, Scientists on John Von Neumann
1960s USA, Interviews, Scientists on John Von Neumann from the Kinolibrary Archive Film Collections. Clip ref MF40. For commercial projects only. To order the clip clean and high res, or to find out more, visit http://www.kinolibrary.com. Available in 4K.
Subscribe for more high quality, rare and inspiring clips from our extensive archive of footage.
INTERVIEWS summary statements from professors and colleagues on Von Neumann, sat in their offices.
Kinolibrary is a commercial archive film agency supplying high quality, rare and inspiring footage to media professionals. Our collections cover a wealth of eclectic and intriguing themes, locations and eras. Visit http://www.kinolibrary.com for more info.
WEBSITE: http://kinolibrary.com/
TWITTER: https://twitter.com/thekinolibrary
FACEBOOK...
published: 01 Mar 2021
The Mind of a Genius: John von Neumann I The Great Courses
If John von Neumann were on LinkedIn, his experience would include the Manhattan Project, early computer science, the atomic bomb, the hydrogen bomb, and the invention of game theory. A famed mathematician, Neumann played a major role in all of these by using applied heuristics. Add heuristic-based suboptimal and imperfect solutions to your resumé by understanding them here.
Presented by Patrick Grim
Learn more about heuristics at https://www.TheGreatCoursesPlus.com
-------------------------------------------
The Great Courses is the global leader in lifelong learning and our video-on-demand service The Great Courses Plus gives you unlimited, uninterrupted access to a world of learning anytime and anywhere you want it. With courses on thousands of topics, you are sure to find something ...
published: 07 Jun 2013
Could human civilization spread across the whole galaxy? - Roey Tzezana
View full lesson: http://ed.ted.com/lessons/could-human-civilization-spread-across-the-whole-galaxy-roey-tzezana
Could human civilization eventually spread across the whole Milky Way galaxy? Could we move beyond our small, blue planet to establish colonies in the multitude of star systems out there? These questions are pretty daunting, but their (theoretical) answers were actually put forth decades ago. Roey Tzezana describes the conceptual von Neumann machine.
Lesson by Roey Tzezana, animation by Eoin Duffy.
published: 29 Sep 2016
Fabio Akita - John Von Neumann
Esse corte foi retirado do podcast do Fabio Akita (akitando).
"muitos provam o que conseguem , John Von Neumann prova o que o quer"
In this episode, we cover the history of the 20th century Hungarian-American John von Neumann, one of the most pivotal figures of the 20th century, especially n...
In this episode, we cover the history of the 20th century Hungarian-American John von Neumann, one of the most pivotal figures of the 20th century, especially notable for his contributions to the creation of the atom bomb.
Sources: https://docs.google.com/document/d/1JD1YvgiMgnSL0VvQzHIk_jII6YFnuF550H4EIuflmsg/edit?usp=sharing
DISCORD ►► https://discord.gg/Jd3tCeK
PATREON ►► https://www.patreon.com/moderndaymath
In this episode, we cover the history of the 20th century Hungarian-American John von Neumann, one of the most pivotal figures of the 20th century, especially notable for his contributions to the creation of the atom bomb.
Sources: https://docs.google.com/document/d/1JD1YvgiMgnSL0VvQzHIk_jII6YFnuF550H4EIuflmsg/edit?usp=sharing
DISCORD ►► https://discord.gg/Jd3tCeK
PATREON ►► https://www.patreon.com/moderndaymath
John Von Neumann appears on the television program "America's Youth Wants To Know". He made this appearance when he was the Commissioner of the Atomic Energy Co...
John Von Neumann appears on the television program "America's Youth Wants To Know". He made this appearance when he was the Commissioner of the Atomic Energy Commission.
John Von Neumann appears on the television program "America's Youth Wants To Know". He made this appearance when he was the Commissioner of the Atomic Energy Commission.
Von Neumann Architecture is how nearly all computers are built, but who was John Von Neumann and where did the architecture come from? Professor Brailsford tell...
Von Neumann Architecture is how nearly all computers are built, but who was John Von Neumann and where did the architecture come from? Professor Brailsford tells us about 'Uncle Johnny'
Extra thanks to our super sleuth secret Princeton based photographer...
https://www.facebook.com/computerphile
https://twitter.com/computer_phile
This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: https://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com
Von Neumann Architecture is how nearly all computers are built, but who was John Von Neumann and where did the architecture come from? Professor Brailsford tells us about 'Uncle Johnny'
Extra thanks to our super sleuth secret Princeton based photographer...
https://www.facebook.com/computerphile
https://twitter.com/computer_phile
This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: https://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com
1960s USA, Interviews, Scientists on John Von Neumann from the Kinolibrary Archive Film Collections. Clip ref MF40. For commercial projects only. To order the c...
1960s USA, Interviews, Scientists on John Von Neumann from the Kinolibrary Archive Film Collections. Clip ref MF40. For commercial projects only. To order the clip clean and high res, or to find out more, visit http://www.kinolibrary.com. Available in 4K.
Subscribe for more high quality, rare and inspiring clips from our extensive archive of footage.
INTERVIEWS summary statements from professors and colleagues on Von Neumann, sat in their offices.
Kinolibrary is a commercial archive film agency supplying high quality, rare and inspiring footage to media professionals. Our collections cover a wealth of eclectic and intriguing themes, locations and eras. Visit http://www.kinolibrary.com for more info.
WEBSITE: http://kinolibrary.com/
TWITTER: https://twitter.com/thekinolibrary
FACEBOOK: https://www.facebook.com/Kinolibrary/
INSTAGRAM: https://www.instagram.com/kinolibrary/
1960s USA, Interviews, Scientists on John Von Neumann from the Kinolibrary Archive Film Collections. Clip ref MF40. For commercial projects only. To order the clip clean and high res, or to find out more, visit http://www.kinolibrary.com. Available in 4K.
Subscribe for more high quality, rare and inspiring clips from our extensive archive of footage.
INTERVIEWS summary statements from professors and colleagues on Von Neumann, sat in their offices.
Kinolibrary is a commercial archive film agency supplying high quality, rare and inspiring footage to media professionals. Our collections cover a wealth of eclectic and intriguing themes, locations and eras. Visit http://www.kinolibrary.com for more info.
WEBSITE: http://kinolibrary.com/
TWITTER: https://twitter.com/thekinolibrary
FACEBOOK: https://www.facebook.com/Kinolibrary/
INSTAGRAM: https://www.instagram.com/kinolibrary/
If John von Neumann were on LinkedIn, his experience would include the Manhattan Project, early computer science, the atomic bomb, the hydrogen bomb, and the in...
If John von Neumann were on LinkedIn, his experience would include the Manhattan Project, early computer science, the atomic bomb, the hydrogen bomb, and the invention of game theory. A famed mathematician, Neumann played a major role in all of these by using applied heuristics. Add heuristic-based suboptimal and imperfect solutions to your resumé by understanding them here.
Presented by Patrick Grim
Learn more about heuristics at https://www.TheGreatCoursesPlus.com
-------------------------------------------
The Great Courses is the global leader in lifelong learning and our video-on-demand service The Great Courses Plus gives you unlimited, uninterrupted access to a world of learning anytime and anywhere you want it. With courses on thousands of topics, you are sure to find something that will ignite your curiosity and invigorate your passion for learning.
Enjoy a curated sampling of our full catalog of content by subscribing to our YouTube channel. We add new history, science, and math videos every week.
-------------------------------------------
Read articles from the smartest experts in their fields: https://www.Thegreatcoursesdaily.com
Find us on all our social channels:
-Facebook: https://www.facebook.com/TheGreatCourses
-Twitter: http://twitter.com/thegreatcourses
-Instagram: https://www.instagram.com/thegreatcourses
-------------------------------------------
#Heuristics #JohnvonNeumann #GreatThinkers
If John von Neumann were on LinkedIn, his experience would include the Manhattan Project, early computer science, the atomic bomb, the hydrogen bomb, and the invention of game theory. A famed mathematician, Neumann played a major role in all of these by using applied heuristics. Add heuristic-based suboptimal and imperfect solutions to your resumé by understanding them here.
Presented by Patrick Grim
Learn more about heuristics at https://www.TheGreatCoursesPlus.com
-------------------------------------------
The Great Courses is the global leader in lifelong learning and our video-on-demand service The Great Courses Plus gives you unlimited, uninterrupted access to a world of learning anytime and anywhere you want it. With courses on thousands of topics, you are sure to find something that will ignite your curiosity and invigorate your passion for learning.
Enjoy a curated sampling of our full catalog of content by subscribing to our YouTube channel. We add new history, science, and math videos every week.
-------------------------------------------
Read articles from the smartest experts in their fields: https://www.Thegreatcoursesdaily.com
Find us on all our social channels:
-Facebook: https://www.facebook.com/TheGreatCourses
-Twitter: http://twitter.com/thegreatcourses
-Instagram: https://www.instagram.com/thegreatcourses
-------------------------------------------
#Heuristics #JohnvonNeumann #GreatThinkers
View full lesson: http://ed.ted.com/lessons/could-human-civilization-spread-across-the-whole-galaxy-roey-tzezana
Could human civilization eventually spread acr...
View full lesson: http://ed.ted.com/lessons/could-human-civilization-spread-across-the-whole-galaxy-roey-tzezana
Could human civilization eventually spread across the whole Milky Way galaxy? Could we move beyond our small, blue planet to establish colonies in the multitude of star systems out there? These questions are pretty daunting, but their (theoretical) answers were actually put forth decades ago. Roey Tzezana describes the conceptual von Neumann machine.
Lesson by Roey Tzezana, animation by Eoin Duffy.
View full lesson: http://ed.ted.com/lessons/could-human-civilization-spread-across-the-whole-galaxy-roey-tzezana
Could human civilization eventually spread across the whole Milky Way galaxy? Could we move beyond our small, blue planet to establish colonies in the multitude of star systems out there? These questions are pretty daunting, but their (theoretical) answers were actually put forth decades ago. Roey Tzezana describes the conceptual von Neumann machine.
Lesson by Roey Tzezana, animation by Eoin Duffy.
In this episode, we cover the history of the 20th century Hungarian-American John von Neumann, one of the most pivotal figures of the 20th century, especially notable for his contributions to the creation of the atom bomb.
Sources: https://docs.google.com/document/d/1JD1YvgiMgnSL0VvQzHIk_jII6YFnuF550H4EIuflmsg/edit?usp=sharing
DISCORD ►► https://discord.gg/Jd3tCeK
PATREON ►► https://www.patreon.com/moderndaymath
John Von Neumann appears on the television program "America's Youth Wants To Know". He made this appearance when he was the Commissioner of the Atomic Energy Commission.
Von Neumann Architecture is how nearly all computers are built, but who was John Von Neumann and where did the architecture come from? Professor Brailsford tells us about 'Uncle Johnny'
Extra thanks to our super sleuth secret Princeton based photographer...
https://www.facebook.com/computerphile
https://twitter.com/computer_phile
This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: https://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com
1960s USA, Interviews, Scientists on John Von Neumann from the Kinolibrary Archive Film Collections. Clip ref MF40. For commercial projects only. To order the clip clean and high res, or to find out more, visit http://www.kinolibrary.com. Available in 4K.
Subscribe for more high quality, rare and inspiring clips from our extensive archive of footage.
INTERVIEWS summary statements from professors and colleagues on Von Neumann, sat in their offices.
Kinolibrary is a commercial archive film agency supplying high quality, rare and inspiring footage to media professionals. Our collections cover a wealth of eclectic and intriguing themes, locations and eras. Visit http://www.kinolibrary.com for more info.
WEBSITE: http://kinolibrary.com/
TWITTER: https://twitter.com/thekinolibrary
FACEBOOK: https://www.facebook.com/Kinolibrary/
INSTAGRAM: https://www.instagram.com/kinolibrary/
If John von Neumann were on LinkedIn, his experience would include the Manhattan Project, early computer science, the atomic bomb, the hydrogen bomb, and the invention of game theory. A famed mathematician, Neumann played a major role in all of these by using applied heuristics. Add heuristic-based suboptimal and imperfect solutions to your resumé by understanding them here.
Presented by Patrick Grim
Learn more about heuristics at https://www.TheGreatCoursesPlus.com
-------------------------------------------
The Great Courses is the global leader in lifelong learning and our video-on-demand service The Great Courses Plus gives you unlimited, uninterrupted access to a world of learning anytime and anywhere you want it. With courses on thousands of topics, you are sure to find something that will ignite your curiosity and invigorate your passion for learning.
Enjoy a curated sampling of our full catalog of content by subscribing to our YouTube channel. We add new history, science, and math videos every week.
-------------------------------------------
Read articles from the smartest experts in their fields: https://www.Thegreatcoursesdaily.com
Find us on all our social channels:
-Facebook: https://www.facebook.com/TheGreatCourses
-Twitter: http://twitter.com/thegreatcourses
-Instagram: https://www.instagram.com/thegreatcourses
-------------------------------------------
#Heuristics #JohnvonNeumann #GreatThinkers
View full lesson: http://ed.ted.com/lessons/could-human-civilization-spread-across-the-whole-galaxy-roey-tzezana
Could human civilization eventually spread across the whole Milky Way galaxy? Could we move beyond our small, blue planet to establish colonies in the multitude of star systems out there? These questions are pretty daunting, but their (theoretical) answers were actually put forth decades ago. Roey Tzezana describes the conceptual von Neumann machine.
Lesson by Roey Tzezana, animation by Eoin Duffy.
The concept can be extended to higher dimensions, for example forming a 6-cell octahedral neighborhood for a cubic cellular automaton in three dimensions.
The von Neumann neighbourhood of a point is the set of points at a Manhattan distance of 1.
von Neumann neighborhood of range r
An extension of the simple von Neumann neighborhood described above is to take the set of points at a Manhattan distance of r>1. This results in a diamond-shaped region (shown for r=2 in the illustration). These are called von Neumann neighborhoods of range or extent r. The number of cells in a d-dimensional von Neumann neighborhood of range r is the Delannoy numberD(d,r).