The general... problem... packing... in n-dimensional space. ...[T]here is nothing mysterious about n-dimensional space. A point in real n-dimensiona… - John Horton Conway
" "The general... problem... packing... in n-dimensional space. ...[T]here is nothing mysterious about n-dimensional space. A point in real n-dimensional space <math>\R^n</math> is... a string of real numbers<math>x = (x_1,x_2,x_3, ...,x_n)</math>.A sphere in <math>\R^n</math> with center <math>u = (u_1,u_2,u_3, ...,u_n)</math> and radius <math>\rho</math> consists of all points <math>x</math>... satisfying <math>(x_1-u_1)^2 + (x_2-u_2)^2+ ... +(x_n-u_n)^2 = \rho^2</math>. We can describe a sphere packing in <math>\R^n</math>... by specifying the centers <math>u</math> and the radius.
English
Collect this quote
About John Horton Conway
John Horton Conway (26 December 1937 – 11 April 2020) was an English mathematician, and Professor Emeritus of Mathematics at Princeton University in New Jersey. He was active in the theory of s, , number theory, and . He also made contributions to many branches of , most notably the invention of the with . Born and raised in , Conway spent the first half of his career at the University of Cambridge before moving to the United States, where he held the John von Neumann Professorship at Princeton University for the rest of his career. He died of complications from COVID-19 at age 82.
Also Known As
Alternative Names:
John H. Conway
•
JHC
•
John Conway
•
Conway
Related quotes. More quotes will automatically load as you scroll down, or you can use the load more buttons.
Additional quotes by John Horton Conway
FIN, the axiom that information can't travel faster than a finite speed, (that's where it gets its name from)... does not have that nice property. ...I can't disprove... that somewhere there isn't an as yet undiscovered way of transmitting information faster than... light. ...FIN ...follows from a symmetry principle that the laws of physics are independent of the coordinate frame ...If you're traveling ...at half the speed of light, you still have the same physics ...That symmetry principle ...that's been tested in countless ways, and that's ...why we believe FIN.
Enhance Your Quote Experience
Enjoy ad-free browsing, unlimited collections, and advanced search features with Premium.
Loading...