Chapter
Two-Adic Number Theory Explained
1:23:00 - 1:27:32 (04:31)
The two-adic number theory considers two numbers to be close if their difference is a multiple of a large power of two. This idea is different from the conventional understanding of numbers being close.
Clips
The objects studied in Maslow's theorem are gowel representations in modular forms, but understanding how they can move in tiny infinitesimal amounts can reveal the whole global space in which they can exist.
1:23:00 - 1:24:34 (01:34)
Summary
The objects studied in Maslow's theorem are gowel representations in modular forms, but understanding how they can move in tiny infinitesimal amounts can reveal the whole global space in which they can exist. This concept of recognizing different things by the same name is highlighted in the beautiful map that opens the book.
ChapterTwo-Adic Number Theory Explained
Episode#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
PodcastLex Fridman Podcast
The concept of distance in natural language processing plays a vital role in tasks such as autocomplete and machine translation.
1:24:34 - 1:26:02 (01:27)
Summary
The concept of distance in natural language processing plays a vital role in tasks such as autocomplete and machine translation. However, it is important to understand that this notion of distance is not fixed but rather differs depending on the task at hand.
ChapterTwo-Adic Number Theory Explained
Episode#190 – Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries
PodcastLex Fridman Podcast
The two-adic number theory defines two numbers as close if their difference is a multiple of a large power of two.
1:26:02 - 1:27:32 (01:29)
Summary
The two-adic number theory defines two numbers as close if their difference is a multiple of a large power of two. This is different from the traditional definition of closeness in which two numbers are close if their difference is a small number.