Curve fitting | Partial differential equations | Linear algebra
In mathematics, a system of equations is considered overdetermined if there are more equations than unknowns. An overdetermined system is almost always inconsistent (it has no solution) when constructed with random coefficients. However, an overdetermined system will have solutions in some cases, for example if some equation occurs several times in the system, or if some equations are linear combinations of the others. The terminology can be described in terms of the concept of constraint counting. Each unknown can be seen as an available degree of freedom. Each equation introduced into the system can be viewed as a constraint that restricts one degree of freedom. Therefore, the critical case occurs when the number of equations and the number of free variables are equal. For every variable giving a degree of freedom, there exists a corresponding constraint. The overdetermined case occurs when the system has been overconstrained — that is, when the equations outnumber the unknowns. In contrast, the underdetermined case occurs when the system has been underconstrained — that is, when the number of equations is fewer than the number of unknowns. Such systems usually have an infinite number of solutions. (Wikipedia).
Differential Equations | Undetermined Coefficients for a System of DEs
We use the method of undetermined coefficients to solve a nonhomogeneous system of first order linear differential equations. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Systems of Differential Equations
Intro to Linear Systems: 2 Equations, 2 Unknowns - Dr Chris Tisdell Live Stream
Free ebook http://tinyurl.com/EngMathYT Basic introduction to linear systems. We discuss the case with 2 equations and 2 unknowns. A linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that ar
From playlist Intro to Linear Systems
Discrete-Time Dynamical Systems
This video shows how discrete-time dynamical systems may be induced from continuous-time systems. https://www.eigensteve.com/
From playlist Data-Driven Dynamical Systems
Everything You Need to Know About Control Theory
Control theory is a mathematical framework that gives us the tools to develop autonomous systems. Walk through all the different aspects of control theory that you need to know. Some of the concepts that are covered include: - The difference between open-loop and closed-loop control - How
From playlist Control Systems in Practice
Overdetermined System of Equations | Ch. 2, Linear Regression
To solve the problem of linear regression, we essentially need to solve an "overdetermined" system of equations. In this video, I will guide you through what that means as a prelude to understanding the normal equations and multiple regression. This is Chapter 2 of the series "From Linea
From playlist From Linear Regression to Linear Algebra
Graphing the system of two linear inequalities with two horizontal line
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of Inequalities by Graphing
Reactive Systems use a high-performance software architecture. They are resilient under stress, and their reactive design allows them to scale elastically to meet demand. The reactive design approach allows the creation of more complex, more flexible systems and forms the basis for some of
From playlist Software Engineering
Solving Systems of Equations Graphically
http://mathispower4u.wordpress.com/
From playlist Solving Systems of Equations by Graphing
Don’t panic — here’s how mindfulness can improve isolation | Jason Silva | Big Think
Don’t panic — here’s how mindfulness can improve isolation Watch the newest video from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- It's normal
From playlist Jason Silva | Big Think
Least Squares Regression and the SVD
This video describes how the SVD can be used to solve linear systems of equations. In particular, it is possible to solve nonsquare systems (overdetermined or underdetermined) via least squares regression and the pseudoinverse. These lectures follow Chapter 1 from: "Data-Driven Scienc
From playlist Data-Driven Science and Engineering
Linear Systems of Equations, Least Squares Regression, Pseudoinverse
This video describes how the SVD can be used to solve linear systems of equations. In particular, it is possible to solve nonsquare systems (overdetermined or underdetermined) via least squares regression and the pseudoinverse. These lectures follow Chapter 1 from: "Data-Driven Scienc
From playlist Data-Driven Science and Engineering
The Step Response | Control Systems in Practice
Check out the other videos in this series: https://www.youtube.com/playlist?list=PLn8PRpmsu08pFBqgd_6Bi7msgkWFKL33b This video covers a few interesting things about the step response. We’ll look at what a step response is and some of the ways it can be used to specify design requirements f
From playlist Control Systems in Practice
Ch06n3: Overdetermined Systems and QR factorization.
Overdetermined Systems and QR factorization. Numerical Computation, chapter 6, additional video no 3. To be viewed after the regular videos of chapter 6 and the additional video no 2. Wen Shen, Penn State University, 2018.
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
Matrix Algebra in MATLAB | Lecture 32 | Numerical Methods for Engineers
How to solve a system of linear equations, the least-squares problem, and find eigenvalues and eigenvectors using MATLAB. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf S
From playlist Numerical Methods for Engineers
Systems of Equations: Solving Linear Systems, Part 4
Data Science for Biologists Systems of Equations: Solving Linear Systems Part 4 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton
From playlist Data Science for Biologists
Linear Systems of Equations, Ax=b
This video describes linear systems of equations and when they have solutions. These lectures follow Chapter 1 from: "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz Amazon: https://www.amazon.com/Data-Driven-Science-Engineer
From playlist Data-Driven Science and Engineering
Least squares using matrices | Lecture 26 | Matrix Algebra for Engineers
Definition of the least-squares problem for fitting a line through noisy data. Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/us
From playlist Matrix Algebra for Engineers
Math 060 Linear Algebra #01 090117 Systems of Linear Equations
1.1 Introduction: systems of linear equations. Geometric interpretation of systems of linear equations. A system (3 variables, 3 equations) from the Han Dynasty. Operations that don't change the solution set. Definition of equivalent systems. Simplifying the system. Terminology: ov
From playlist Course 4: Linear Algebra (Fall 2017)
PHYS 102 | Kirchhoff's Rules 1 - Junction Rule
This rule describes how current flows at a point where a wire splits into two (or more) wires. You know, a junction. -----DC Circuits playlist - https://www.youtube.com/playlist?list=PL9_sR6Qqqcyle6ype2C04kPXFlNz3-boS -----Use the channel, or take the courses at edX - https://www.edx.org
From playlist PHYS 102 | DC Circuits