The discharging method is a technique used to prove lemmas in structural graph theory. Discharging is most well known for its central role in the proof of the four color theorem. The discharging method is used to prove that every graph in a certain class contains some subgraph from a specified list. The presence of the desired subgraph is then often used to prove a coloring result. Most commonly, discharging is applied to planar graphs.Initially, a charge is assigned to each face and each vertex of the graph.The charges are assigned so that they sum to a small positive number. During the Discharging Phase the charge at each face or vertex may be redistributed to nearby faces and vertices, as required by a set of discharging rules. However, each discharging rule maintains the sum of the charges. The rules are designed so that after the discharging phase each face or vertex with positive charge lies in one of the desired subgraphs. Since the sum of the charges is positive, some face or vertex must have a positive charge. Many discharging arguments use one of a few standard initial charge functions (these are listed below). Successful application of the discharging method requires creative design of discharging rules. (Wikipedia).
PREDICATE LOGIC and QUANTIFIER NEGATION - DISCRETE MATHEMATICS
Today we wrap up our discussion of logic by introduction quantificational logic. This includes talking about existence and universality. We also discuss the negation of our quantificational operators. Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--
From playlist Discrete Math 1
[Discrete Mathematics] Surjective Functions Examples
In these video we look at onto functions and do a counting problem. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIz
From playlist Discrete Math 1
[Discrete Mathematics] Negating Quantifiers and Translation Examples
LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathematics 2: https://www.youtube.com/pla
From playlist Discrete Math 1
MATHEMATICAL INDUCTION - DISCRETE MATHEMATICS
We introduce mathematical induction with a couple basic set theory and number theory proofs. #DiscreteMath #Mathematics #Proofs #Induction Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com
From playlist Discrete Math 1
[Discrete Mathematics] Mathematical Induction with Derivatives and Matrices
We do two examples of mathematical induction. One with derivatives, and one with matrix multiplication. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube
From playlist Discrete Math 1
Gradually varied flow computations RK method
Advanced Hydraulics by Dr. Suresh A Kartha,Department of Civil Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Guwahati: Advanced Hydraulics | CosmoLearning.org Civil Engineering
INJECTIVE, SURJECTIVE, and BIJECTIVE FUNCTIONS - DISCRETE MATHEMATICS
We introduce the concept of injective functions, surjective functions, bijective functions, and inverse functions. #DiscreteMath #Mathematics #Functions Support me on Patreon: http://bit.ly/2EUdAl3 Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--P
From playlist Discrete Math 1
[Discrete Mathematics] Permutation Practice
In this video we take a look at permutation practice questions, including circular tables. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz
From playlist Discrete Math 1
PIGEONHOLE PRINCIPLE - DISCRETE MATHEMATICS
We introduce the pigeonhole principle, an important proof technique. #DiscreteMath #Mathematics #Proofs #Pigeonhole Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw
From playlist Discrete Math 1
On convection-diffusion-reaction and transport-flow modeling sedimentation – R. Bürger – ICM2018
Numerical Analysis and Scientific Computing | Mathematics in Science and Technology Invited Lecture 15.3 | 17.3 On convection-diffusion-reaction and transport-flow problems modeling sedimentation Raimund Bürger Abstract: The sedimentation of a suspension is a unit operation widely used i
From playlist Numerical Analysis and Scientific Computing
[Discrete Mathematics] Counting Practice
We wrap up the section on counting by doing a few practice problems and showing the intuitions behind solving each problem. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=P
From playlist Discrete Math 1
Michèle Thieullen: An Hodgkin-Huxley neuron receiving a random periodic signal [...]
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 Probability and Statistics
Answers to part of the the HSC Physics paper 2020
A run through on the worked solutions to the short answer section of the HSC Physics paper for 2020 Download the paper - https://tinyurl.com/y3pmddxc For shortcuts to each question see below 0:00. start 0:16 Question 21 2:55 Question 22 5:22 Question 23 7:14 Question 24 10:54 Ques
From playlist HSC Physics Exam Questions
PROOF 2=1 USING DERIVATIVES?! EASILY FOOL YOUR MATHS TEACHER AND FREINDS WITH THIS EASY TRICK!!!
Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://shop.spreadshirt.de/papaflammy 2nd Channel: https://www.youtube.com/channel/UCPctvztDTC3qYa2amc8eTrg Original video: https://www.youtube.
From playlist Random problems
A unified stochastic modelling framework for the spread of... by Martín López García
DISCUSSION MEETING : MATHEMATICAL AND STATISTICAL EXPLORATIONS IN DISEASE MODELLING AND PUBLIC HEALTH ORGANIZERS : Nagasuma Chandra, Martin Lopez-Garcia, Carmen Molina-Paris and Saumyadipta Pyne DATE & TIME : 01 July 2019 to 11 July 2019 VENUE : Madhava Lecture Hall, ICTS, Bangalore
From playlist Mathematical and statistical explorations in disease modelling and public health
Antonella Ferrara: "From connected & autonomous vehicles control to vehicular traffic control"
Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop II: Safe Operation of Connected and Autonomous Vehicle Fleets "From connected and autonomous vehicles control to vehicular traffic control, a multi-scale perspective" Antonella Ferrara - Università di Pavia A
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Indian ocean modelling: opportunities and challenges for data assimilation- P.N. Vinaychandran
PROGRAM: Data Assimilation Research Program Venue: Centre for Applicable Mathematics-TIFR and Indian Institute of Science Dates: 04 - 23 July, 2011 DESCRIPTION: Data assimilation (DA) is a powerful and versatile method for combining observational data of a system with its dynamical mod
From playlist Data Assimilation Research Program
MFEM Workshop 2022 | MFEM Application to EM-Wave Simulation in ECR Space Plasma Thrusters
The LLNL-led MFEM (Modular Finite Element Methods) project provides high-order mathematical calculations for large-scale scientific simulations. The project’s second community workshop was held on October 25, 2022, with participants around the world. Learn more about MFEM at https://mfem.o
From playlist MFEM Community Workshop 2022
[Discrete Mathematics] Permutations and Combinations Examples 2
In this video we do a letter permutation problem, a random walk problem, and a circular table problem. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.
From playlist Discrete Math 1
Paul Charton : Gestion optimale d'une ferme éolienne couplée à un dispositif de stockage
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 OUTREACH - GRAND PUBLIC