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#Modular Arithmetic

Showing: 38 courses
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Number Theory Math for Fun

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Explore number theory concepts through engaging proofs, puzzles, and problems, from classic irrationality demonstrations to modular arithmetic and prime numbers.
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22 Lesons
14 hours
On-Demand
Free-Video
Santa Fe Institute

Sending Secrets - Cryptography & Privacy in a Quantum World

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Explore cryptography's evolution, from ancient methods to quantum challenges, and discover potential future-proof encryption techniques. No advanced math required.
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23 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Santa Fe Institute

Sending Secrets: Security and Cryptography in a Quantum World

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Explore cryptography's evolution, from Caesar's cipher to quantum computing challenges. Learn about modern encryption, prime numbers, and the potential impact of quantum computers on cybersecurity.
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19 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Emergence and Grokking in Simple Neural Architectures

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Dive into emergence and grokking in simple neural architectures. Explore MLPs' remarkable behaviors, feature-learning kernel machines, and their implications for understanding modern deep learning phenomena.
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1 Lesons
57 minutes
On-Demand
Free-Video

Number Theory

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Comprehensive exploration of number theory, covering foundational concepts to advanced topics like quadratic reciprocity, integer partitions, and Ramanujan's congruences.
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34 Lesons
16 hours
On-Demand
Free-Video
Institute for Advanced Study

Primes and Knots - Akshay Venkatesh

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Explore surprising parallels between number theory and 3D geometry, uncovering connections that continue to shape mathematical research.
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13 Lesons
51 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Katz-Grothendieck Conjecture: Criteria for Algebraic Solutions in Linear Differential Equations

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Explore a conjectura de Katz-Grothendieck sobre equações diferenciais lineares com soluções algébricas, incluindo contexto histórico e evidências principais. Adequado para estudantes de pós-graduação em matemática.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Congruências - PAPMEM Janeiro 2023

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Aprofunde-se em congruências matemáticas com o Professor Luciano Castro. Aprimore suas habilidades de ensino e explore conceitos avançados do Ensino Médio nesta aula do PAPMEM.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

La cryptographie mathématique de César à Heisenberg I

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Explorez l'évolution de la cryptographie, des méthodes historiques aux défis de l'ère quantique. Découvrez les fondements mathématiques et les enjeux futurs de la sécurité des communications.
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17 Lesons
1 hour 26 minutes
On-Demand
Free-Video
CodeHelp - by Babbar

Basic Maths for DSA - Sieve - Modular Arithmetics - Euclid’s Algorithm

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Learn essential mathematical concepts for DSA: Sieve method for prime numbers, Euclid's algorithm for GCD/LCM, and modular arithmetic with fast exponentiation. Includes code examples and problem-solving techniques.
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18 Lesons
44 minutes
On-Demand
Free-Video
Mathologer

Secret of Row 10 - A New Visual Key to Ancient Pascalian Puzzles

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Explore hidden patterns in Pascal's triangle and snail shells through a visual key, featuring Sierpinski's triangle and modular arithmetic in this fascinating mathematical journey.
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5 Lesons
30 minutes
On-Demand
Free-Video
Insights into Mathematics

Modular Arithmetic With Fermat and Euler - Data Structures in Mathematics Math Foundations

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Explore Fermat's and Euler's theorems in modular arithmetic, learning to simplify calculations and solve problems like z mod 13 through practical examples and applications.
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8 Lesons
37 minutes
On-Demand
Free-Video
Insights into Mathematics

Back to Gauss and Modular Arithmetic - Data Structures in Mathematics Math Foundations

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Explore modular arithmetic and its applications in number theory. Learn about congruences, divisibility, and efficient calculation of remainders without long division.
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9 Lesons
27 minutes
On-Demand
Free-Video
Insights into Mathematics

Factoring Large Numbers into Primes - Famous Math Problems

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Explore prime factorization of large numbers, modular arithmetic, and theorems by Fermat and Euler. Learn techniques to tackle complex mathematical problems and improve number theory skills.
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8 Lesons
42 minutes
On-Demand
Free-Video
Michael Penn

Ramanujan's Famous Mod 5 Congruence - Number Theory

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Explore Ramanujan's famous (mod 5) congruence in number theory, delving into its mathematical significance and applications. Gain insights into this intriguing concept through clear explanations and examples.
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1 Lesons
27 minutes
On-Demand
Free-Video
Michael Penn

Primitive Roots - Number Theory

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Explore primitive roots in number theory, delving into advanced mathematical concepts and their applications in this comprehensive video lecture.
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1 Lesons
34 minutes
On-Demand
Free-Video
Michael Penn

The Order of an Integer Modulo N - Number Theory

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Explore the concept of order for integers modulo n in number theory, covering key propositions, primitive roots, and proofs to deepen understanding of modular arithmetic.
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6 Lesons
37 minutes
On-Demand
Free-Video
Michael Penn

Chinese Remainder Theorem - Number Theory

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Explore the Chinese Remainder Theorem, a fundamental concept in number theory, and its applications in solving systems of linear congruences.
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1 Lesons
27 minutes
On-Demand
Free-Video
Michael Penn

Modular Arithmetic - Number Theory

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Explore fundamental concepts of modular arithmetic in number theory, including congruence relations, modular operations, and their applications in mathematics.
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1 Lesons
26 minutes
On-Demand
Free-Video
Insights into Mathematics

Clock Mathematics and the 12-Tone Chromatic Scale - Connecting Music Theory and Mod 12 Arithmetic

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Explores the connection between mathematics and music through the 12-tone chromatic scale, clock geometry, and mod 12 arithmetic, offering a fresh perspective on music theory and mathematical notation.
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7 Lesons
32 minutes
On-Demand
Free-Video
Insights into Mathematics

The Number Theory Revival - From Diophantus to Fermat

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Explore the revival of number theory, from Diophantus to Fermat, covering key concepts like combinatorics, algebraic curves, and famous theorems in this comprehensive mathematical journey.
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10 Lesons
57 minutes
On-Demand
Free-Video
Insights into Mathematics

Reciprocals, Powers of 10, and Euler's Totient Function - Math Foundations 202

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Explore decimal expansions of fractions, their connection to modular arithmetic, and Euler's totient function. Gain insights into repeated decimal cycles and their relationship with powers of 10 mod n.
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1 Lesons
24 minutes
On-Demand
Free-Video
Insights into Mathematics

Irreducibility and the Schoenemann-Eisenstein Criterion - Famous Math Problems 20

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Explores irreducibility in cyclotomic polynomials, Gauss's lemma, and Schoenemann's criterion. Applies concepts to prime-indexed cyclotomic polynomials and establishes Eisenstein's criterion.
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1 Lesons
30 minutes
On-Demand
Free-Video
Big Ideas In Dynamics

Factoring Gleason Polynomials Modulo 2 - Pre-Talk

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Explore factoring Gleason polynomials modulo 2 with postdoc Malavika Mukundan, delving into advanced mathematical concepts in dynamics.
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1 Lesons
35 minutes
On-Demand
Free-Video
Discover AI

Understanding Grokking - A New Performance Phase in Large Language Models

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Discover how extended training of LLMs leads to "grokking" - a breakthrough phase where models develop superior generalization abilities and form geometric patterns in embedding spaces.
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1 Lesons
30 minutes
On-Demand
Free-Video
MinutePhysics

How Quantum Computers Break Encryption - Shor's Algorithm Explained

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Explore Shor's Algorithm and its potential to break encryption using quantum computers. Learn about modular arithmetic, period-finding, and quantum Fourier transform in this informative video.
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1 Lesons
18 minutes
On-Demand
Free-Video
Bill Buchanan OBE

Crypto Fundamentals

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Explore cryptography essentials including set theory, modular arithmetic, finite groups, and elliptic curves. Gain foundational knowledge for understanding modern cryptographic systems.
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17 Lesons
47 minutes
On-Demand
Free-Video
CAE in Cybersecurity Community

Under the Hood of the Quantum Computer

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Explore quantum computing fundamentals, including superposition, quantum circuits, and algorithms, with insights on recent developments and future implications.
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21 Lesons
47 minutes
On-Demand
Free-Video
Bill Buchanan OBE

Cryptography Fundamentals 2 - Group Operations: Add, Subtract, Multiply, Divide, and Exponentiate

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Explore fundamental group operations in cryptography, including addition, subtraction, multiplication, division, and exponentiation, essential for secure data mapping and encryption.
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1 Lesons
13 minutes
On-Demand
Free-Video
Bill Buchanan OBE

Cryptography Fundamentals - Elliptic Curve Fundamentals

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Explore elliptic curve points as an alternative to discrete logarithms in cryptography, offering improved efficiency and security for various applications.
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1 Lesons
12 minutes
On-Demand
Free-Video
Bill Buchanan OBE

Cryptography Fundamentals - Finite Fields and Galois Fields - Podcast 4

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Explore finite fields (Galois fields) in cryptography, covering key concepts and applications in secure communication and data protection.
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1 Lesons
20 minutes
On-Demand
Free-Video
Bill Buchanan OBE

Cryptography Fundamentals - RSA (Rivest, Shamir and Adleman) - Lecture 8

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Explore the revolutionary RSA encryption method, its historical context, and its impact on modern cryptography in this informative podcast.
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1 Lesons
22 minutes
On-Demand
Free-Video
Ryan O'Donnell

Planes of Rotation for IncrL - Quantum Computer Programming - Lesson 88

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Explore the decomposition of space into 2D planes for incrementing numbers modulo L in quantum computing, examining rotation angles and their significance.
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1 Lesons
18 minutes
On-Demand
Free-Video
Ryan O'Donnell

Recapping Factoring Technical Details - Quantum Computer Programming Lesson 92

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Recap of quantum factoring algorithm's technical details, preparing for algorithm completion. Covers key concepts and steps in quantum computing approach to factorization.
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1 Lesons
13 minutes
On-Demand
Free-Video
Ryan O'Donnell

Factoring Algorithm: The Overview - Quantum Computer Programming Lesson 84

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Explore the quantum Factoring algorithm's overview, covering key steps and concepts, except for the critical quantum part, in this concise lesson on quantum computing.
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1 Lesons
21 minutes
On-Demand
Free-Video
Wrath of Math

Introduction to Short Division and Modular Congruence

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Discover a faster, more efficient alternative to long division through short division techniques and learn to quickly calculate remainders, including solving complex modular congruence problems.
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7 Lesons
13 minutes
On-Demand
Free-Video
Wrath of Math

The Quirky Divisibility Rules of Binary Numbers

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Explore divisibility rules for binary numbers 0-10, understanding modular congruence and base-2 number system principles through clear mathematical explanations and examples.
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14 Lesons
21 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Biases Among Classes of Rank-crank Partitions Mod 11

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Delve into advanced number theory concepts focusing on rank-crank partition biases in modulo 11, exploring circle method applications and analytical approaches in partition theory.
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1 Lesons
32 minutes
On-Demand
Free-Video