In applied mathematics, Wahba's problem, first posed by Grace Wahba in 1965, seeks to find a rotation matrix (special orthogonal matrix) between two coordinate systems from a set of (weighted) vector observations. Solutions to Wahba's problem are often used in satellite attitude determination utilising sensors such as magnetometers and multi-antenna GPS receivers. The cost function that Wahba's problem seeks to minimise is as follows: for where is the k-th 3-vector measurement in the reference frame, is the corresponding k-th 3-vector measurement in the body frame and is a 3 by 3 rotation matrix between the coordinate frames. is an optional set of weights for each observation. A number of solutions to the problem have appeared in literature, notably Davenport's q-method, QUEST and methods based on the singular value decomposition (SVD). Several methods for solving Wahba's problem are discussed by Markley and Mortari. This is an alternative formulation of the Orthogonal Procrustes problem (consider all the vectors multiplied by the square-roots of the corresponding weights as columns of two matrices with N columns to obtain the alternative formulation). An elegant derivation of the solution on one and a half page can be found in. (Wikipedia).
Nalini Anantharaman: Delocalization of eigenfunctions and quantum chaos - Lecture 2
Recording during the meeting "Random Matrices and Random Graphs " the April 18, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathema
From playlist Combinatorics
The corner cube problem is interesting because it initially looks difficult. When the problem was first posed to me, for example, it didn't know how to solve it. Still, my intuition bells were ringing, telling me there was a nice solution. In this video, I cover two of these solutions, in
From playlist Fun
When you FINALLY get the courage to perform a Magic Trick!
*Awkward silence
From playlist Magician Problems.
C43 Example problem solving a Cauchy Euler equation
Another Cauchy-Euler equation example problem solved.
From playlist Differential Equations
B06 Example problem with separable variables
Solving a differential equation by separating the variables.
From playlist Differential Equations
Problem #3 - Swinging Pendulum
Problem #3 - Swinging Pendulum
From playlist Bi-weekly Physics Problems
B15 Example problem with a linear equation using the error function
Solving an example problem for a linear equation with the error function.
From playlist Differential Equations
Square and Regular Hexagon Action: Challenge Problem
Link: https://www.geogebra.org/m/dxsNFYWQ
From playlist Geometry: Challenge Problems
GeoGebra Link: https://www.geogebra.org/m/f5zgupmz
From playlist Geometry: Challenge Problems
The Complexity of Gradient Descent: CLS = PPAD ∩ PLS - Alexandros Hollender
Computer Science/Discrete Mathematics Seminar I Topic: The Complexity of Gradient Descent: CLS = PPAD ∩ PLS Speaker: Alexandros Hollender Affiliation: University of Oxford Date: October 11, 2021 We consider the problem of computing a Gradient Descent solution of a continuously different
From playlist Mathematics
Lecture 20 - Introduction to NP-completeness
This is Lecture 20 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture22.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU
MIT 6.006 Introduction to Algorithms, Spring 2020 Instructor: Erik Demaine View the complete course: https://ocw.mit.edu/6-006S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63EdVPNLG3ToM6LaEUuStEY This lecture discusses computational complexity and introduces termi
From playlist MIT 6.006 Introduction to Algorithms, Spring 2020
Problem Solving Skills | How to Improve Your Problem Solving Skills? | Softskills | Simplilearn
This video on how to improve your problem-solving skills is focused on excellent tips that will enhance your Problem-Solving skill like Decision making, Critical Thinking, Active listening, Creativity, and many more, both in your personal and professional life. In this tutorial, we will se
From playlist Interview Tips | Interview Tips in English | Simplilearn 🔥[2022 Updated]
Defining Problems as a Tool for Maximizing Systemic Impact
This webinar will explain the relationship between how we define problems and our ability to forecast the positive and negative externalities associated with a problem’s potential solution set. Matt will draw on his personal experience and background in commodity corn farming to demonst
From playlist Leadership & Management
5 Simple Steps for Solving Dynamic Programming Problems
In this video, we go over five steps that you can use as a framework to solve dynamic programming problems. You will see how these steps are applied to two specific dynamic programming problems: the longest increasing subsequence problem and optimal box stacking. The five steps in order ar
From playlist Problem Solving
Lecture 23 - Cook's Theorem & Harder Reductions
This is Lecture 23 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture25.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU
This is Lecture 21 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture23.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU
Cyclic Quadrilateral Phenomenon
1 cyclic quadrilateral + 4 perpendiculars = 😮? How to prove? 🤔 Source: Antonio Gutierrez. https://geogebra.org/m/MZ8Zgqsg #GeoGebra #MTBoS #ITeachMath #geometry #math #maths #proof
From playlist Geometry: Challenge Problems