A02 Independence of the solution set
The independence of a linear system. How to make sure that a set of solutions are not constant multiples of each other.
From playlist A Second Course in Differential Equations
(PP 2.3) Independence (continued)
(0:00) (Mutual) Independence of an infinite sequence of events. (1:55) Conditional Independence of multiple events. (3:28) Relationship between independence and conditional probability. (7:23) Example illustrating the relationships between independence, pairwise independence, mutu
From playlist Probability Theory
Differential Equations: Linear Independence
Linear independence is a core idea from Linear Algebra. Surprisingly, it's also important in differential equations. This video is the second precursor to our discussion of homogeneous differential equations.
From playlist Differential Equations
Math 060 092717 Linear Independence
Linear independence: definition of, examples and non-examples; intuition (dependence is redundancy; independence is minimality). Equivalence of dependence and a vector being included in the span of the others. Equivalence of independence with every vector in the span being uniquely expre
From playlist Course 4: Linear Algebra (Fall 2017)
(0:00) Independence of two events (4:12) (Mutual) Independence of multiple events (9:30) Conditional Independence of two events A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4
From playlist Probability Theory
Linear Independence Problems - Using the Definition
In this video, I review the definition of linear independence and work through some practice problems using the definition. To learn more about linear independence, check out this lecture in my Linear Algebra Lectures video series: https://youtu.be/KE7xHcwfxzQ
From playlist Linear Algebra Lectures
Further examination of independence
From playlist Unit 5 Probability A: Basic Probability
What Are Numbers? Philosophy of Mathematics (Elucidations)
What is mathematics about and how do we acquire mathematical knowledge? Mathematics seems to be about numbers, but what exactly are numbers? Are numbers and other mathematical objects something discovered or invented? Daniel Sutherland discusses some of these issues in the philosophy of ma
From playlist Logic & Philosophy of Mathematics
Infinite Sets and Foundations (Joel David Hamkins) | Ep. 17
Joel David Hamkins is a Professor of Logic with appointments in Philosophy and Mathematics at Oxford University. His main interest is in set theory. We discuss the field of set theory: what it can say about infinite sets and which issues are unresolved, and the relation of set theory to ph
From playlist Daniel Rubin Show, Full episodes
Philosophy of Mathematics & Frege (Dummett 1994)
Michael Dummett gives a talk on Frege and the philosophy of mathematics. For a good introduction to the philosophy of mathematics, check out: https://www.youtube.com/watch?v=UhX1ouUjDHE Another good introduction to the philosophy of mathematics: https://www.youtube.com/watch?v=XyXWnGFKTkg
From playlist Logic & Philosophy of Mathematics
Stanford Seminar - On the Origin of Experience: The Shaping of Sense and the Complex World
"On the Origin of Experience: The Shaping of Sense and the Complex World" -Steven Ericsson-Zenith Colloquium on Computer Systems Seminar Series (EE380) presents the current research in design, implementation, analysis, and use of computer systems. Topics range from integrated circuits to
From playlist Engineering
Chloe Perin: Forking independence in the free group
The lecture was held within the framework of the Hausdorff Trimester Program: Logic and Algorithms in Group Theory. Abstract: Model theorists define, in structures whose first-order theory is "stable" (i.e. suitably nice), a notion of independence between elements. This notion coincides f
From playlist HIM Lectures: Trimester Program "Logic and Algorithms in Group Theory"
Frege, Russell, & Modern Logic - A. J. Ayer & Bryan Magee (1987)
In this program, A. J. Ayer discusses the work of Gottlob Frege, Bertrand Russell, and modern logic with Bryan Magee. This is from the 1987 series on great philosophers. #Philosophy #Bryanmagee #BertrandRussell
From playlist Bryan Magee Interviews - The Great Philosophers (1987)
Verónica Becher: Independence of normal words
Abstract : Recall that normality is a elementary form of randomness: an infinite word is normal to a given alphabet if all blocks of symbols of the same length occur in the word with the same asymptotic frequency. We consider a notion of independence on pairs of infinite words formalising
From playlist Logic and Foundations
Wolfram Physics Project: Working Session Tuesday, Feb. 2, 2021 [Proofs and Metamathematics]
This is a Wolfram Physics Project working session about proofs and metamathematics. Begins at 3:22 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.
From playlist Wolfram Physics Project Livestream Archive
Hochschultag 2020 - Ralf Schindler: Unendlichkeit, Hilberts Hotel und die Mathematische Logik
Aufzeichnung einer Veranstaltung vom digitalen Hochschultag 2020: Probevorlesung von Prof. Dr. Ralf Schindler über Unendlichkeit, Hilberts Hotel und die Mathematische Logik. In Hilberts Hotel haben viele Gäste Platz: Es hat unendlich viele Zimmer. Aber dann erscheint eine Reisegruppe, die
From playlist Für Studieninteressierte
Institute for Advanced Study November 17, 2006 Karl Sigmund (University of Vienna) Solomon Feferman (Stanford University) More videos on http://video.ias.edu
From playlist Kurt Gödel Centenary
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
(PP 5.4) Independence, Covariance, and Correlation
(0:00) Definition of independent random variables. (5:10) Characterizations of independence. (10:54) Definition of covariance. (13:10) Definition of correlation. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4
From playlist Probability Theory