Number theory | Additive functions | Prime numbers | Integer sequences

Prime omega function

In number theory, the prime omega functions and count the number of prime factors of a natural number Thereby (little omega) counts each distinct prime factor, whereas the related function (big omega) counts the total number of prime factors of honoring their multiplicity (see arithmetic function). That is, if we have a prime factorization of of the form for distinct primes, then the respective prime omega functions are given by and . These prime factor counting functions have many important number theoretic relations. (Wikipedia).

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Transcendental Functions 13 Derivatives of a Function and its Inverse.mov

The first derivative of a function and the inverse of that function.

From playlist Transcendental Functions

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Introduction to Big-Omega Notation

This video introduces Big-Omega notation. http://mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

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Transcendental Functions 17 The Indefinite Integral of 1 over u du Example 1.mov

Example problems involving the integral of u to the power negative 1 du.

From playlist Transcendental Functions

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Calculus - Find the limit of a function using epsilon and delta

This video shows how to use epsilon and delta to prove that the limit of a function is a certain value. This particular video uses a linear function to highlight the process and make it easier to understand. Later videos take care of more complicated functions and using epsilon and delta

From playlist Calculus

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Inverse Functions (part one)

An introduction to inverse functions. I talk about what an inverse function is, the relationship between domain and range, and the composition of two inverse functions. Stay tuned for part two! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www.instagram.com/b

From playlist Precalculus

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Transcendental Functions 17 The Indefinite Integral of 1 over u du Example 2.mov

More example problems involving the integral of 1 over u, du.

From playlist Transcendental Functions

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An Example of Boundary Homogenization: The Homogenization of the...(Lecture 2) by François Murat

DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño

From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)

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Oscillating Boundary problems (Lecture 1) by Antonio Gaudiello

PROGRAM: MULTI-SCALE ANALYSIS AND THEORY OF HOMOGENIZATION ORGANIZERS: Patrizia Donato, Editha Jose, Akambadath Nandakumaran and Daniel Onofrei DATE: 26 August 2019 to 06 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Homogenization is a mathematical procedure to understa

From playlist Multi-scale Analysis And Theory Of Homogenization 2019

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Mod-05 Lec-39 Radiation

Electromagnetic Theory by Prof. D.K. Ghosh,Department of Physics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Bombay: Electromagnetic Theory

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Oscillating Boundary problems (Lecture 3) by Antonio Gaudiello

PROGRAM: MULTI-SCALE ANALYSIS AND THEORY OF HOMOGENIZATION ORGANIZERS: Patrizia Donato, Editha Jose, Akambadath Nandakumaran and Daniel Onofrei DATE: 26 August 2019 to 06 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Homogenization is a mathematical procedure to understa

From playlist Multi-scale Analysis And Theory Of Homogenization 2019

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An Example of Boundary Homogenization: The Homogenization of the...(Lecture 1) by François Murat

DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño

From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)

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Oscillating Boundary problems (Lecture 2) by Antonio Gaudiello

PROGRAM: MULTI-SCALE ANALYSIS AND THEORY OF HOMOGENIZATION ORGANIZERS: Patrizia Donato, Editha Jose, Akambadath Nandakumaran and Daniel Onofrei DATE: 26 August 2019 to 06 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Homogenization is a mathematical procedure to understa

From playlist Multi-scale Analysis And Theory Of Homogenization 2019

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Oscillating Boundary problems (Lecture 4) by Antonio Gaudiello

PROGRAM: MULTI-SCALE ANALYSIS AND THEORY OF HOMOGENIZATION ORGANIZERS: Patrizia Donato, Editha Jose, Akambadath Nandakumaran and Daniel Onofrei DATE: 26 August 2019 to 06 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Homogenization is a mathematical procedure to understa

From playlist Multi-scale Analysis And Theory Of Homogenization 2019

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Jean-Marie de Koninck: On the proximity of additive and multiplicative functions

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Number Theory

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Stochastic Astrophysical Foreground From Compact Binary Mergers (Lecture 4) by Vuc Mandic

PROGRAM ICTS SUMMER SCHOOL ON GRAVITATIONAL-WAVE ASTRONOMY (ONLINE) ORGANIZERS: Parameswaran Ajith (ICTS-TIFR, India), K. G. Arun (CMI, India), Bala R. Iyer (ICTS-TIFR, India) and Prayush Kumar (ICTS-TIFR, India) DATE : 05 July 2021 to 16 July 2021 VENUE : Online This school is part

From playlist ICTS Summer School on Gravitational-Wave Astronomy (ONLINE)

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Stochastic Astrophysical Foreground from Compact Binary Mergers (Lecture 3) by Vuc Mandic

PROGRAM ICTS SUMMER SCHOOL ON GRAVITATIONAL-WAVE ASTRONOMY (ONLINE) ORGANIZERS: Parameswaran Ajith (ICTS-TIFR, India), K. G. Arun (CMI, India), Bala R. Iyer (ICTS-TIFR, India) and Prayush Kumar (ICTS-TIFR, India) DATE : 05 July 2021 to 16 July 2021 VENUE : Online This school is

From playlist ICTS Summer School on Gravitational-Wave Astronomy (ONLINE)

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Beta Function - Integral Representation Derivation

Today, we derive the integral representation for the Beta function. We will be using this result in a future video to prove the Euler reflection formula!

From playlist Integrals

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Square-free integer | Factorial moment | Euler product | Iverson bracket | Q-Pochhammer symbol | Primorial | Arithmetic function | Additive function | Average order of an arithmetic function | Prime zeta function | Möbius function | Stieltjes constants | Number theory | Erdős–Kac theorem | Prime number | Partition (number theory) | Dirichlet convolution | Dirichlet series | Riemann zeta function | Divisor function