Euclidean geometry | Circles | Planar surfaces
In geometry, a disk (also spelled disc) is the region in a plane bounded by a circle. A disk is said to be closed if it contains the circle that constitutes its boundary, and open if it does not. For a radius, , an open disk is usually denoted as and a closed disk is . However in the field of topology the closed disk is usually denoted as while the open disk is . (Wikipedia).
Learn computer science terminology. We'll take a dive into understanding some of the terms used in computer science and software development. The video starts with the basics and then gets more advanced. Video from Forrest Knight. Check out his channel: https://www.youtube.com/channel/UC
From playlist Computer Science Concepts
Computer Basics: What Is a Computer?
Computers are all around us, and they play an important role in our lives. But what exactly is a computer? We're going to answer that question and give you an overview of some of the different types of computers you might use. 0:00 Intro 0:22 Ones and zeros 0:39 Hardware and software 1:0
From playlist Starting out with Technology
Maths for Programmers: Introduction (What Is Discrete Mathematics?)
Transcript: In this video, I will be explaining what Discrete Mathematics is, and why it's important for the field of Computer Science and Programming. Discrete Mathematics is a branch of mathematics that deals with discrete or finite sets of elements rather than continuous or infinite s
From playlist Maths for Programmers
Definition of spherical coordinates | Lecture 33 | Vector Calculus for Engineers
We define the relationship between Cartesian coordinates and spherical coordinates; the position vector in spherical coordinates; the volume element in spherical coordinates; the unit vectors; and how to differentiate the spherical coordinate unit vectors. Join me on Coursera: https://www
From playlist Vector Calculus for Engineers
If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.
From playlist Machine Learning
This is a video I have been wanting to make for some time, in which I discuss what the quaternions are, as mathematical objects, and how we do calculations with them. In particular, we will see how the fundamental equation of the quaternions i^2=j^2=k^2=ijk=-1 easily generates the rule for
From playlist Quaternions
What is a Vector Space? (Abstract Algebra)
Vector spaces are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and 3-dimensional vectors you study in science. In this lesson we talk about the definition of a vector space and give a few surprising examples. Be sure to su
From playlist Abstract Algebra
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From playlist Science Unplugged: Mathematics
Julius Sumner Miller: Lesson 12 - The Strange Behavior of Rolling Things
When we roll things down an inclined plane we discover a strange business: The mass of the rolling body does not matter. What matters is how the mass is distributed. To explore these wonderful thing we roll disks and hoops and spheres - all sizes - all masses and very enchanting discov
From playlist Julius Sumner Miller - Full Physics Laboratory Demonstrations
Proving Brouwer's Fixed Point Theorem | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi There is a proof for Brouwer's Fixed Point Theorem that uses a bridge - or portal - between geometry and algebra. Tweet at us! @pbsinfinite Facebook: facebook.com/pbs
From playlist An Infinite Playlist
MIT RES.TLL-004 Concept Vignettes View the complete course: http://ocw.mit.edu/RES-TLL-004F13 Instructor: Dan Frey This video leads students through describing the motion of all points on a wobbly disk as a function of time. Properties of time independent rotation matrices are explored.
From playlist MIT STEM Concept Videos
Configuration Spaces of Hard Discs in a Box - Matthew Kahle
Matthew Kahle Institute for Advanced Study November 15, 2010 The "hard discs" model of matter has been studied intensely in statistical mechanics and theoretical chemistry for decades. From computer simulations it appears that there is a solid--liquid phase transition once the relative ar
From playlist Mathematics
A finite discussion on the Infinite by Tanvi Jain
KAAPI WITH KURIOSITY A FINITE DISCUSSION ON THE INFINITE SPEAKER: Tanvi Jain (Indian Statistical Institute, New Delhi) WHEN: 4pm to 6pm Sunday, 09 September 2018 WHERE: J. N. Planetarium, Sri T. Chowdaiah Road, High Grounds, Bangalore “From time immemorial, the infinite has stirred me
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
How does mathematics describe the physical features of the world?
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From playlist Science Unplugged: Mathematics
Rodrigo Bañuelos: "Events of Small Probabilities Do Happen"
Latinx in the Mathematical Sciences Conference 2018 "Events of Small Probabilities Do Happen" Rodrigo Bañuelos, Purdue University Institute for Pure and Applied Mathematics, UCLA March 9, 2018 For more information: http://www.ipam.ucla.edu/programs/special-events-and-conferences/latinx-
From playlist Latinx in the Mathematical Sciences 2018
Little disks operads and Feynman diagrams – Thomas Willwacher – ICM2018
Mathematical Physics | Topology Invited Lecture 11.3 | 6.5 Little disks operads and Feynman diagrams Thomas Willwacher Abstract: The little disks operads are classical objects in algebraic topology which have seen a wide range of applications in the past. For example they appear prominen
From playlist Mathematical Physics
Complex Analysis (Advanced) -- The Schwarz Lemma
A talk I gave concerning my recent results on the Schwarz Lemma in Kähler and non-Kähler geometry. The talk details the classical Schwarz Lemma and discusses André Bloch. This is part 1 of a multi-part series. Part 1 -- https://youtu.be/AWqeIPMNhoA Part 2 -- https://youtu.be/hd7-iio77kc P
From playlist Complex Analysis
Matt Parker on circles and centres of mass. More links & stuff in full description below ↓↓↓ The man who loved circles: https://youtu.be/AzmUCL1OHhs Matt's signed book (& extra goodies): http://bit.ly/Matt_Signed Amazon (US): http://bit.ly/Matt_4D_US Amazon (UK): http://bit.ly/Matt_4D_UK
From playlist Matt Parker (standupmaths) on Numberphile
Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
Episode 2: The Story Of Pi - Project MATHEMATICS!
Episode 2. The Story of Pi: Although pi is the ratio of circumference to diameter of a circle, it appears in many formulas that have nothing to do with circles. Animated sequences dissect a circular disk and transform it to a rectangle with the same area as the disk. Animation shows how Ar
From playlist Courses and Series