Interpolation | Continuous mappings | Numerical artefacts
In the mathematical field of numerical analysis, Runge's phenomenon (German: [ˈʁʊŋə]) is a problem of oscillation at the edges of an interval that occurs when using polynomial interpolation with polynomials of high degree over a set of equispaced interpolation points. It was discovered by Carl David Tolmé Runge (1901) when exploring the behavior of errors when using polynomial interpolation to approximate certain functions.The discovery was important because it shows that going to higher degrees does not always improve accuracy. The phenomenon is similar to the Gibbs phenomenon in Fourier series approximations. (Wikipedia).
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
What is the definition of the inverse sine function
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
What are the Inverse Trigonometric functions and what do they mean?
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Unexpected Math Phenomenon Tricked Us Into Believing Venus Had Life
Good telescope that I've used to learn the basics: https://amzn.to/35r1jAk Get a Wonderful Person shirt: https://teespring.com/stores/whatdamath Alternatively, PayPal donations can be sent here: http://paypal.me/whatdamath Hello and welcome! My name is Anton and in this video, we will tal
From playlist Venus
Lecture: Application of Runge-Kutta to Lorenz Equation
We demonstrate the application of the 4th-order accurate Runge-Kutta solver (ODE45) to the classic Lorenz system.
From playlist Beginning Scientific Computing
Lecture: Application of Runge-Kutta to Chaotic Dynamics and the Double Pendulum
We finish by considering the physical application of a double pendulum and a numerical model for its motion, demonstrating the chaotic behavior induced in the motion.
From playlist Beginning Scientific Computing
Hyperuniformity and Entropy cusps in active-absorbing phase transitions by Rahul Dandekar
DISCUSSION MEETING : 7TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS : Ranjini Bandyopadhyay, Abhishek Dhar, Kavita Jain, Rahul Pandit, Sanjib Sabhapandit, Samriddhi Sankar Ray and Prerna Sharma DATE : 19 February 2020 to 21 February 2020 VENUE : Ramanujan Lecture Hall, ICTS
From playlist 7th Indian Statistical Physics Community Meeting 2020
The Runge Function, Polynomial Interpolation, and the Cauchy Residual Theorem
A tour of interpolation, starting with a simple example and ending with completely unexpected and beautiful convergence results. Skip to about 2:25 if you wish to avoid the gentle intro. Topics covered include: polynomial convergence examples, the Runge Function (not related to Runge-Kutta
From playlist Summer of Math Exposition Youtube Videos
What is an enlargement dilation
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
Will Gauge Blocks Wring Together In a Vacuum Chamber?
I test out why gauge blocks wring together. I test it out in a vacuum without oil and with oil. My Youtube shorts channel: https://www.youtube.com/channel/UCA19mAJURyYHbJzhfpqhpCA Get Your Experiment Box Here: https://theactionlab.com/ Checkout my experiment book: https://amzn.to/2Wf07x
From playlist The Action Lab Does Physics
Numerical Calculus: Differential Equations, Part 2
Data Science for Biologists Numerical Calculus: Differential Equations Part 2 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton
From playlist Data Science for Biologists
SDS 532: Mutable vs Immutable Conditions — with Jon Krohn
#MutableConditions #ImmutableConditions #ProblemSolving Jon discusses one helpful framework when it comes to problem-solving and how data scientists are uniquely positioned to employ this technique. Additional materials: https://www.superdatascience.com/532
From playlist Super Data Science Podcast
What are dilations, similarity and scale factors
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is called an enlargement or a stretch while a dilation tha
From playlist Transformations
Why does inverse trig functions have restrictions Function explanation
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
What is the definition of the inverse Tangent function
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Plotting the inverse of ordered pairs
👉 Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is made the argument (input) of a function, the result is x
From playlist Find the Inverse of a Function
What Do Lasers and Musical Instruments Have In Common? RESONANCE Physics Explained
Resonance is an interesting phenomenon... but how does it work? In this video we'll look at 4 examples that help us clarify what resonance is and how we've come to use it for our own benefit. 0:00 - Intro, MUSIC! 1:42 - Example 1 - Playground Swing: What is Resonance? 2:46 - Example 2 - T
From playlist Classical Physics by Parth G
Why do we need restrictions on inverse trig functions
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Claude Bruter - Art et Mathématiques
Titre complet : Art et Mathématiques : sur l’incarnation des objets mathématiques au sein de l’art visuel Quelques œuvres de plusieurs personnalités du monde artistique et mathématique contemporain illustreront le développement récent et prodigieux des techniques et des outils de représen
From playlist Évenements grand public