In network science, preferential attachment means that nodes of a network tend to connect to those nodes which have more links. If the network is growing and new nodes tend to connect to existing ones with linear probability in the degree of the existing nodes then preferential attachment leads to a scale-free network. If this probability is sub-linear then the network’s degree distribution is and hubs are much smaller than in a scale-free network. If this probability is super-linear then almost all nodes are connected to a few hubs. According to Kunegis, Blattner, and Moser several online networks follow a non-linear preferential attachment model. Communication networks and online contact networks are sub-linear while interaction networks are super-linear. The co-author network among scientists also shows the signs of sub-linear preferential attachment. (Wikipedia).
C17 Non homogeneous higher order linear ODEs with constant coefficients
Explanation of the methods involved in solving a non-homogeneous, linear, ODE, with constant coefficients.
From playlist Differential Equations
Find a Particular Solution to a Nonhomgeneous DE Using Variation of Parameters
This video explains how to determine a particular solution to a linear second order differential equation using the method of variation of parameters. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Sine)
This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Non-equilibrium statistical physics: Introductory examples (Lecture - 05) by Sidney Redner
Bangalore School on Statistical Physics - VIII DATE: 28 June 2017 to 14 July 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru This advanced level school is the eighth in the series. This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in s
From playlist Bangalore School on Statistical Physics - VIII
A look at free, simple harmonic motion without any damping.
From playlist Differential Equations
The Form of the Particular Solution Using the Method of Undetermined Coefficients - Part 2
This video provides examples of how to determine the form of the particular solution to a linear second order nonhomogeneous differential equation when terms are repeated. The particular solution is not found. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
From playlist Contributed talks One World Symposium 2020
Root Finding and Broadcasting in Random Recursive Trees by Gabor Lugosi
Program Advances in Applied Probability II (ONLINE) ORGANIZERS: Vivek S Borkar (IIT Bombay, India), Sandeep Juneja (TIFR Mumbai, India), Kavita Ramanan (Brown University, Rhode Island), Devavrat Shah (MIT, US) and Piyush Srivastava (TIFR Mumbai, India) DATE: 04 January 2021 to 08 Januar
From playlist Advances in Applied Probability II (Online)
A14 Nonhomegeneous linear systems solved by undetermined coefficients
There are two methods for solving nonhomogeneous systems. The first uses undetermined coefficients.
From playlist A Second Course in Differential Equations
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Quadratic)
This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
IMS Public Lecture: Epidemics in Technological and Social Networks
The Downside of Six Degrees of Separation J.T. Chayes, Microsoft Research
From playlist Public Lectures
Ginestra Bianconi: Emergent Network Geometry
The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology
From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"
Derive the Variation of Parameters Formula to Solve Linear Second Order Nonhomogeneous DEs
This video derives or proves the variation of parameters formula used to find a particular solution and solve linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Network Science 2021 @ HSE http://www.leonidzhukov.net/hse/2021/networks/
From playlist Network Science, 2021
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Linear)
This video explains how to determine the general solution to a linear second order nonhomogeneous differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Gábor Lugosi: Network archeology: a few results and questions - Lecture 1
Recorded during the meeting "Machine learning and nonparametric statistics" the December 13, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audio
From playlist Probability and Statistics
Prove the Form of the General Solution to a Linear Second Order Nonhomogeneous DE
This video explains the form of the general solution to linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients