Analytic geometry | Differential geometry
In geometry, an envelope of a planar family of curves is a curve that is tangent to each member of the family at some point, and these points of tangency together form the whole envelope. Classically, a point on the envelope can be thought of as the intersection of two "infinitesimally adjacent" curves, meaning the limit of intersections of nearby curves. This idea can be generalized to an envelope of surfaces in space, and so on to higher dimensions. To have an envelope, it is necessary that the individual members of the family of curves are differentiable curves as the concept of tangency does not apply otherwise, and there has to be a smooth transition proceeding through the members. But these conditions are not sufficient – a given family may fail to have an envelope. A simple example of this is given by a family of concentric circles of expanding radius. (Wikipedia).
Abstract Algebra: The definition of a Ring
Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend th
From playlist Abstract Algebra
Envelopes - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
From playlist Applied Cryptography
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
Field Definition (expanded) - Abstract Algebra
The field is one of the key objects you will learn about in abstract algebra. Fields generalize the real numbers and complex numbers. They are sets with two operations that come with all the features you could wish for: commutativity, inverses, identities, associativity, and more. They
From playlist Abstract Algebra
Introduction to Matrices | Geometry | Maths | FuseSchool
Introduction to Matrices | Geometry | Maths | FuseSchool Chances are, you have heard the word “matrices” in a movie. But do you know what they are or what they are used for? Well, “matrices” is plural of a “matrix”. And you can think about a matrix as just a table of numbers, and that’s
From playlist MATHS: Geometry & Measures
An introduction to the Tropical calculus | Data Structures in Mathematics Math Foundations 158
We give a short informal introduction to the Tropical calculus, which for us is a novel way of working with the algebra of sets and multisets. This involves defining rather unusual notions of addition and multiplication-- coming from union and addition respectively. **********************
From playlist Math Foundations
Understanding Work Envelopes of Robots!
Robots are designed based on the work envelope requirement. The volume the end effector of this robot is able to reach is known as the work envelope. For example, for this robot shown, the blue shade volume is the work envelope. Let’s learn more about this crucial concept of robotics. Be
From playlist Robotics
Resolution of the two envelope fallacy
I talk about a very simple solution to the two envelope fallacy. Watch this video first: https://youtu.be/OqVFKY504X0
From playlist Puzzles and Riddles
A brief overview of the 2021 Abel Prize Laureates’ work
A brief overview of the 2021 Abel Prize Laureates’ Avi Wigderson and László Lovász work by Alex Bellos. Alex Bellos is a British writer, broadcaster and populariser of mathematics. This clip is from the 2021 Abel Prize announcement. Illustrations by Edmund O. Harriss.
From playlist The Abel Prize Year 2021
Construction of Particular Planar Curves using GeoGebra - Florida GeoGebra Conference 2022: Part 13
Here, Petra Surynková leading us in our final Florida GeoGebra Conference session: "Constructions of Particular Planar Curves Using GeoGebra”. Link to GeoGebra book referenced here: https://www.geogebra.org/m/mh9srps6
From playlist 2022 Florida GeoGebra Conference
The Abel Prize announcement 2021 - Avi Wigderson and László Lovász
0:49 The Abel Prize announced by Hans Petter Graver, President of The Norwegian Academy of Science and Letters 1:38 Citation by Hans Munthe-Kaas, Chair of the Abel committee 10:22 Popular presentation of the prize winners work by Alex Bellos, British writer, and science communicator 17:43
From playlist The Abel Prize announcements
Geometry Constructions by Petra Surynkova
Learn Geometry Constructions with GeoGebra! In this video series, Petra Surynkova will guide you through a variety of constructions, including bisectors, perpendiculars, and more. Follow along with her clear explanations and visual aids to master the art of geometric construction in GeoGeb
From playlist FLGGB 2023
Lecture 10, Discrete-Time Fourier Series | MIT RES.6.007 Signals and Systems, Spring 2011
Lecture 10, Discrete-Time Fourier Series Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES-6.007S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6.007 Signals and Systems, 1987
The Two Envelope Problem - a Mystifying Probability Paradox
There are two envelopes in front of you, and you know that one of them has ten times more money than the other. You pick randomly one envelope, but before taking it home, you are given the option to switch, and actually take the other envelope. Should you switch? That was (one version o
From playlist Summer of Math Exposition Youtube Videos
Climate Science, Waves, and PDE's for the Tropics ( 1 ) - Andrew J. Majda
Lecture 1: Climate Science, Waves, and PDE's for the Tropics: Observations, Theory, and Numerics Abstract: Geophysical flows are a rich source of novel problems for applied mathematics and the contemporary theory of partial differential equations. The reason for this is that many physical
From playlist Mathematical Perspectives on Clouds, Climate, and Tropical Meteorology
Code-It-Yourself! Sound Synthesizer #2 - Oscillators & Envelopes
This second video improves upon the basic waveform generators in the last video, to produce a flexible oscillator. The amplitude of the oscillator is now controlled by an Attack, Decay, Sustain, Release envelope, to produce some more realistic instrument sounds. All the code is available
From playlist Code-It-Yourself!
This Video Will Make You More Rational
Head to https://squarespace.com/brithemathguy to save 10% off your first purchase of a website or domain using code BRITHEMATHGUY The two envelope problem is a famous probability paradox! You're given the choice between two envelopes (each containing money) and the option to switch after
From playlist Paradoxical Probability
Can You Validate These Emails?
Email Validation is a procedure that verifies if an email address is deliverable and valid. Can you validate these emails?
From playlist Fun
Computing with Randomness: Probability Theory and the Internet
October 21, 2010 - In recent years, probability theory has come to play an increasingly important role in computing. Professor Sahami gives examples of how probability underlies a variety of applications on the Internet including web search and email spam filtering. This lecture is offered
From playlist Reunion Homecoming