Numbers: Are They Normal? - Understanding Mathematical Normality and Digit Patterns
International Centre for Theoretical Sciences via YouTube
Overview
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Explore the fascinating concept of numerical normality in this mathematics lecture delivered by Professor Malabika Pramanik at the Jawaharlal Nehru Planetarium. Delve into the intriguing question of what makes a number "normal" through an examination of digit patterns and frequencies, using examples like 0.12345678910111213… (normal) and 0.1212121212... (not normal) in base 10. Learn how the study of normal numbers intersects with various mathematical disciplines including diophantine approximation, ergodic theory, geometric measure theory, analysis, and computer science. Benefit from the expertise of Professor Pramanik, an accomplished mathematician from the University of British Columbia and scientific director of Banff International Research Station, whose distinguished career includes positions at prestigious institutions and numerous awards including the Canadian Mathematical Society's Krieger-Nelson Prize.
Syllabus
When: 4:00 pm to pm Thursday, 19 December 2024
Taught by
International Centre for Theoretical Sciences