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1.14 MB
Extraction Summary
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People
2
Organizations
1
Locations
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Events
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Relationships
3
Quotes
Document Information
Type:
Book page / evidence file
File Size:
1.14 MB
Summary
This document appears to be a scanned page (page 167) from a book regarding 'Complexity & Chaos', specifically discussing the Traveling Salesman Problem and P vs NP complexity classes. It mentions a $1 million prize offered by the Clay Mathematics Institute for solving the P=NP problem. The document includes a map of the United States illustrating the problem. The footer 'HOUSE_OVERSIGHT_015857' indicates this page was included as evidence in a House Oversight Committee investigation, likely related to Jeffrey Epstein's connections to scientific and academic institutions.
Organizations (2)
| Name | Type | Context |
|---|---|---|
| Clay Mathematics Institute |
Offering a $1 million prize for solving the P=NP problem.
|
|
| House Oversight Committee |
Implied by the footer 'HOUSE_OVERSIGHT_015857', indicating this document is part of a congressional investigation.
|
Locations (1)
| Location | Context |
|---|---|
|
Depicted in the 'Traveling Salesman' map illustration.
|
Key Quotes (3)
"Warning: Don’t spend too long on these problems."Source
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Quote #1
"The Clay Mathematics Institute has offered a $1 million prize for anyone who can say whether NP problems are really as hard as they appear."Source
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Quote #2
"No one has yet found a proof of the P=NP problem."Source
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Quote #3
Full Extracted Text
Complete text extracted from the document (1,286 characters)
Complexity & Chaos 167
TRY THE PUZZLE ON THE WEB
Warning: Don’t spend too long on these problems.
Warning: Don’t spend too long on these problems.
The reason I warned you not to spend too long is that solving the
50-city problem would take longer than the age of the known universe.
NP problems get harder very fast as the number of elements goes up. A
50-city problem is hugely larger than a five-city problem, not just ten
times harder.
50-city problem would take longer than the age of the known universe.
NP problems get harder very fast as the number of elements goes up. A
50-city problem is hugely larger than a five-city problem, not just ten
times harder.
The Clay Mathematics Institute has offered a $1 million prize for
anyone who can say whether NP problems are really as hard as they
appear. It may be there is a general trick or a series of tricks that allow
you to solve any NP problem in a shorter time. If you could do this, the
problem would be demoted to P, allowing fast computers to tackle it. No
one has yet found a proof of the P=NP problem. At the time of writing
several proofs are sitting with the Clay Prize judges but don’t hold your
breath. Most people assume there is no solution. If you want to have a
crack at the problem let me state it in simple terms.
anyone who can say whether NP problems are really as hard as they
appear. It may be there is a general trick or a series of tricks that allow
you to solve any NP problem in a shorter time. If you could do this, the
problem would be demoted to P, allowing fast computers to tackle it. No
one has yet found a proof of the P=NP problem. At the time of writing
several proofs are sitting with the Clay Prize judges but don’t hold your
breath. Most people assume there is no solution. If you want to have a
crack at the problem let me state it in simple terms.
[Map of the United States with a grid overlay and a geometric path connecting points labeled 1, 6, 14, 4, 5, 7, 4, 13, 3]
Traveling Salesman
HOUSE_OVERSIGHT_015857
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