Design of experiments | Latin squares
In combinatorics, two Latin squares of the same size (order) are said to be orthogonal if when superimposed the ordered paired entries in the positions are all distinct. A set of Latin squares, all of the same order, all pairs of which are orthogonal is called a set of mutually orthogonal Latin squares. This concept of orthogonality in combinatorics is strongly related to the concept of blocking in statistics, which ensures that independent variables are truly independent with no hidden confounding correlations. "Orthogonal" is thus synonymous with "independent" in that knowing one variable's value gives no further information about another variable's likely value. An outdated term for pair of orthogonal Latin squares is Graeco-Latin square, found in older literature. (Wikipedia).
Determine if the Vectors are Orthogonal
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From playlist Calculus
Determine the length of a diagonal of a rectangle
👉 Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
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36 entangled officers of Euler: A quantum solution to a classically... by Arul Lakshminarayan
Colloquium: 36 entangled officers of Euler: A quantum solution to a classically impossible problem Speaker: Arul Lakshminarayan (IIT Madras, Chennai) Date: Mon, 06 June 2022, 15:30 to 17:00 Venue: Online and Madhava Lecture Hall Abstract The 36 officers problem of Euler is a well-known i
From playlist ICTS Colloquia
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Lecture 5 | Introduction to Linear Dynamical Systems
Professor Stephen Boyd, of the Electrical Engineering department at Stanford University, lectures on QR factorization and least squares for the course, Introduction to Linear Dynamical Systems (EE263). Introduction to applied linear algebra and linear dynamical systems, with application
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👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
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Learn how to determine if two vectors are parallel, orthogonal or neither
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From playlist Vectors
Rainbow structures, Latin squares & graph decompositions - Benny Sudakov
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From playlist Mathematics
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Lecture 7 | Modern Physics: Quantum Mechanics (Stanford)
Lecture 7 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded February 25, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of mod
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MATH2018 Lecture 6.2 Special Matrices
We look at the properties of invertible matrices, symmetric matrices, and orthogonal matrices, and discuss some important relationships between them.
From playlist MATH2018 Engineering Mathematics 2D
Wolfgang Schief: A canonical discrete analogue of classical circular cross sections of ellipsoids
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From playlist Integrable Systems 9th Workshop
What is an example of lines that are a linear pair
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Linear Algebra 20j: The Dot Product, Matrix Multiplication, and the Magic of Orthogonal Matrices
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
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Lecture 2 | The Theoretical Minimum
January 16, 2012 - In this course, world renowned physicist, Leonard Susskind, dives into the fundamentals of classical mechanics and quantum physics. He discovers the link between the two branches of physics and ultimately shows how quantum mechanics grew out of the classical structure. I
From playlist Lecture Collection | The Theoretical Minimum: Quantum Mechanics