In geometry, confocal means having the same foci: confocal conic sections. * For an optical cavity consisting of two mirrors, confocal means that they share their foci. If they are identical mirrors, their radius of curvature, Rmirror, equals L, where L is the distance between the mirrors. * In conic sections, it is said of two ellipses, two hyperbolas, or an ellipse and a hyperbola which share both foci with each other. If an ellipse and a hyperbola are confocal, they are perpendicular to each other. * In optics, it means that one focus or image point of one lens is the same as one focus of the next lens. (Wikipedia).
11_6_1 Contours and Tangents to Contours Part 1
A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.
From playlist Advanced Calculus / Multivariable Calculus
In this video, I provide some intuition behind the concept of convolution, and show how the convolution of two functions is really the continuous analog of polynomial multiplication. Enjoy!
From playlist Real Analysis
Is the function continuous or not
👉 Learn how to determine whether a function is continuos or not. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. Other
From playlist Is the Functions Continuous or Not?
You don't know shit about function concatenation
Script used in this video: https://gist.github.com/Nikolaj-K/ff6e0df0c05ab5593c498cb5add88c23
From playlist Programming
Concavity and Parametric Equations Example
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.
From playlist Calculus
Differential Equations | Convolution: Definition and Examples
We give a definition as well as a few examples of the convolution of two functions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Differential Equations
Wolfgang Schief: A canonical discrete analogue of classical circular cross sections of ellipsoids
Abstract: Two classical but perhaps little known facts of "elementary" geometry are that an ellipsoid may be sliced into two one-parameter families of circles and that ellipsoids may be deformed into each other in such a manner that these circles are preserved. In fact, as an illustration
From playlist Integrable Systems 9th Workshop
Find the value makes a piecewise function continuous with system of equations
👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is defined and is equal to the limit of the function. To find
From playlist The Limit
Mod-04 Lec-40 Concluding Lecture
Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in
2012 Visualization Challenge: Observing the Coral Symbiome Using Laser Scanning Confocal Microscopy
Christine E. Farrar and colleagues' honorable mention video from the 2012 International Science and Engineering Visualization Challenge, hosted by Science Magazine and the U.S. National Science Foundation, uses confocal microscopy to demonstrate the dynamic lives of corals. [Credit: Chris
From playlist Science & Engineering Visualization Challenge 2012
Concavity and Inflection Points for f(x) = ln(1 + x^2)
In this video I find the intervals on which the function f(x) = ln(1 + x^2) is concave up and concave down. I also find the inflection points. If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com Free Homewor
From playlist Concavity and Inflection Points
Widefield and Confocal Fluorescence Microscopy
We just learned about electron microscopy, so what was the next major innovation in microscopy in the 20th century? That would be fluorescence microscopy, of both the widefield and confocal varieties. How does this work? What is fluorescence in the first place? What are fluorophores? What
From playlist Microbiology/Infectious Diseases
Optics: Curved mirror cavity - radial modes | MIT Video Demonstrations in Lasers and Optics
Optics: Curved mirror cavity - radial modes Instructor: Shaoul Ezekiel View the complete course: http://ocw.mit.edu/RES-6-006S08 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.6-006 Video Demonstrations in Lasers and Optics
Optics: Optical spectrum analyzer | MIT Video Demonstrations in Lasers and Optics
Optics: Optical spectrum analyzer Instructor: Shaoul Ezekiel View the complete course: http://ocw.mit.edu/RES-6-006S08 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.6-006 Video Demonstrations in Lasers and Optics
ECR Talk: "A tale of two (or more, integrable) billiards", Sean Gasiorek
SMRI -MATRIX Symposium: Nijenhuis Geometry and Integrable Systems Week 2 (MATRIX): ECR Talk by Sean Gasiorek 14 February 2022 ---------------------------------------------------------------------------------------------------------------------- SMRI-MATRIX Joint Symposium, 7 – 18 Februar
From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems
What is the definition of a parabola
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and identifying a parabolas parts when given an equation in sta
From playlist Learn all about Parabolas #Conics
How These Scientists Are Turning X-Ray Vision Into a Reality
Have you ever wondered what it would be like to see through walls? Well, researchers at Stanford University might have just cracked the code on this superpower. » Subscribe to Seeker! http://bit.ly/subscribeseeker » Watch more Elements! http://bit.ly/ElementsPlaylist » Visit our shop at
From playlist Elements | Seeker
Imaging Space Rocks - AMNH SciCafe
What are the technologies at work that help scientists glean information from asteroids and meteors? In this SciCafe, Museum Curator Denton Ebel is joined by Amanda White, a confocal microscopy specialist, and Ellen Crapster-Pregont, a PhD candidate conducting her research at the Museum, i
From playlist SciCafe
Experiments with active particles dispersed in a crowded... by Ranjini Bandyopadhyay
PROGRAM : FLUCTUATIONS IN NONEQUILIBRIUM SYSTEMS: THEORY AND APPLICATIONS ORGANIZERS : Urna Basu and Anupam Kundu DATE : 09 March 2020 to 19 March 2020 VENUE : Madhava Lecture Hall, ICTS, Bangalore THIS PROGRAM HAS BEEN MODIFIED ONLY FOR LOCAL (BANGALORE) PARTICIPANTS DUE TO COVID-19 RI
From playlist Fluctuations in Nonequilibrium Systems: Theory and Applications
What is an Injective Function? Definition and Explanation
An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez
From playlist Functions