This video describes what a primitive roots is. Also, how to test if a number (alpha) is primitive for a low/small modulus. Also note that there is a more efficient way of testing for a primitive root (if p-1 is easily factorable), which is discussed in part 2: https://www.youtube.com/wat
From playlist Number Theory
Number Theory | There are no primitive roots modulo 2^n!!
We prove that for n greater than 2, there are no primitive roots modulo 2^n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Number Theory
Theory of numbers: Congruences: Primitive roots
This lecture is part of an online undergraduate course on the theory of numbers. We define primitive roots, and show that all primes have primitive roots. Correction: At 16:00 two of the square roots of 1 should be (2^k)/2 +1, (2^k)/2-1, not 2^k/2, -2^k/2. For the other lectures in th
From playlist Theory of numbers
Number Theory | Primitive Roots modulo n: Definition and Examples
We give the definition of a primitive root modulo n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Primitive Roots Modulo n
Number Theory | When are there primitive roots modulo n?
We classify the natural numbers n for which there are primitive roots. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Primitive Roots Modulo n
Introduction to number theory lecture 24. Primitive roots for prime powers
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We show that odd prime powers also have primitive roots. The textbook is "An introduction
From playlist Introduction to number theory (Berkeley Math 115)
Thermodynamic Formalism for B-free Dynamical Systems - Joana Kulaga-Przymus
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: Thermodynamic Formalism for B-free Dynamical Systems Speaker: Joana Kulaga-Przymus Affiliation: Uniwersytet Mikołaja Kopernika Date: March 01, 2023 Abstract: Given $B \subset N$, we consider the corresponding
From playlist Mathematics
Number Theory | There is a primitive root modulo every power of an odd prime!!
We prove that for an odd prime p, there is a primitive root modulo p^n for all natural numbers n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Primitive Roots Modulo n
Ariadna Murguia-Berthier - Implementing a tabulated EOS and neutrino leakage scheme in HARM3D
Recorded 5 October 2021. Ariadna Murguia-Berthier of the University of California, Santa Cruz present "Implementing a tabulated EOS and neutrino leakage scheme in HARM3D" at IPAM's Workshop I: Computational Challenges in Multi-Messenger Astrophysics. Abstract: On August 17, 2017, the LIGO/
From playlist Workshop: Computational Challenges in Multi-Messenger Astrophysics
Reconsidering natural numbers and arithmetical expressions | Data structures Math Foundations 185
It is time to turn our gaze back to the true foundations of the subject: arithmetic with natural numbers. But now we know that the issue of "What exactly is a natural number?" is fraught with subtlety. We adopt a famous dictum of Errett Bishop, and start to make meaningful distinctions bet
From playlist Math Foundations
Primordial Black Hole DM - II (Lecture 2) by Yacine Ali Haimoud
PROGRAM LESS TRAVELLED PATH OF DARK MATTER: AXIONS AND PRIMORDIAL BLACK HOLES (ONLINE) ORGANIZERS: Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata / SINP, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE: 09 November 2020 to 13 Novemb
From playlist Less Travelled Path of Dark Matter: Axions and Primordial Black Holes (Online)
The Landing | History of Life | Free Documentary Series | Educational | WildLife | HD
Free Documentary Series on YouTube | History of Life - the beginnings of life on Earth | Episode 3 - The Landing | Educational Series 🦖 In this 5 part documentary, we will explore the history of life from its humble beginnings as single celled organisms, to its great blossoming and prolif
From playlist Wildlife & Nature
Minimalism is killing us: Re-awaken your senses, bring back joy | Ingrid Fetell Lee | Big Think
Minimalism is killing us: Re-awaken your senses, bring back joy Watch the newest video from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- The feeling
From playlist Best Videos | Big Think
Number Theory | Primitive roots modulo p -- Technical Lemma 2
We present another technical lemma regarding primitive roots modulo p. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Primitive Roots Modulo n
The First Major Transition in Evolution | Single-Celled Life—Prokaryotes to Eukaryotes
The first major transition in the evolution of living organisms didn't take place for 1.5 billion years—and when it did, it happened under a microscope. However, it's also the most important transition in Earth's history, as all others are built upon it. Grab your popcorn—all major changes
From playlist Biology and Health
Has Darwin’s Abominable Mystery been solved?
Invertebrate Paleontology and Paleobotany is a graduate level course in paleontology at Utah State University, which covers the major groups of marine invertebrates, fossil plants, and the important techniques and tools used in the field of paleontology. It covers ichnology, fossil preserv
From playlist Utah State University: Invertebrate Paleontology and Paleobotany (CosmoLearning Geology)
How did gymnosperms diversify during the early Mesozoic to become a modern dominate plant group?
Invertebrate Paleontology and Paleobotany is a graduate level course in paleontology at Utah State University, which covers the major groups of marine invertebrates, fossil plants, and the important techniques and tools used in the field of paleontology. It covers ichnology, fossil preserv
From playlist Utah State University: Invertebrate Paleontology and Paleobotany (CosmoLearning Geology)
Disruption - Seminar 22 - Art and AI
A seminar series on the science of disruption in technology organised by Adam Dorr. This week we start to discuss the disruptive effect of pervasive intelligent agents on interpersonal relationships and the social fabric underlying institutions, starting with the role of art in human exper
From playlist Disruption seminar
Primitive Roots - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
BioSci 94: Organisms to Ecosystems. Lec. 8. Metabolic Diversity & Horizontal Gene Transfer
UCI BioSci 94: Organisms to Ecosystems (Winter 2013) Lec 01. Organisms to Ecosystems -- Metabolic Diversity & Horizontal Gene Transfer -- View the complete course: http://ocw.uci.edu/courses/biosci_94_organisms_to_ecosystems.html Instructor: Michael Clegg, Ph.D. License: Creative Commons
From playlist BioSci 94: Organisms to Ecosystems