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Extraction Summary

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Quotes

Document Information

Type: Book page / scientific manuscript (evidence document)
File Size: 950 KB
Summary

This document appears to be a page (labeled 241) from a book or scientific paper discussing mathematical concepts, specifically Fermat's Last Theorem, Diophantine equations, and hypercubes. It features a large illustration of a hypercube. The document bears the Bates stamp 'HOUSE_OVERSIGHT_015931', indicating it was part of a document production for a US House Oversight Committee investigation, likely related to Jeffrey Epstein's connections to the scientific community.

People (1)

Name Role Context
Pierre de Fermat Historical Mathematician
Mentioned in reference to 'Fermat's Last Theorem'

Organizations (1)

Name Type Context
House Oversight Committee
Inferred from Bates stamp 'HOUSE_OVERSIGHT_015931'

Key Quotes (2)

"Purists may protest that Fermat’s Last Theorem isn’t strictly Diophantine because it refers to a variable exponent – the x to the n part."
Source
HOUSE_OVERSIGHT_015931.jpg
Quote #1
"The next shape to consider is the hypercube – a four-dimensional cube."
Source
HOUSE_OVERSIGHT_015931.jpg
Quote #2

Full Extracted Text

Complete text extracted from the document (1,034 characters)

Software 241
Purists may protest that Fermat’s Last Theorem isn’t strictly Diophantine because it refers to a variable exponent – the x to the n part. This is hair splitting. But, of course, the splitting of hairs is bread and butter to a mathematician. We will see later that Fermat’s Theorem can be made Diophantine, but we are jumping ahead of ourselves a little.
A question that taxed mathematicians for many centuries was whether there are triples for higher powers, such as cubes. In other words, would the cube of the hypotenuse be equal to the sum of the cubes of the other two sides for some set of numbers? After much work, it was proven no triple exists which can solve the cubic equation. But what happens if we substitute higher indices?
The next shape to consider is the hypercube – a four-dimensional cube. That may stretch your visual imagination but the equation is simple, 3⁴+4⁴≠5⁴. Again the challenge is to find a whole number solution for:
[Illustration of a blue hypercube]
Hypercube
HOUSE_OVERSIGHT_015931

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