In geometry, the kappa curve or Gutschoven's curve is a two-dimensional algebraic curve resembling the Greek letter ϰ (kappa). The kappa curve was first studied by around 1662. In the history of mathematics, it is remembered as one of the first examples of Isaac Barrow's application of rudimentary calculus methods to determine the tangent of a curve. Isaac Newton and Johann Bernoulli continued the studies of this curve subsequently. Using the Cartesian coordinate system it can be expressed as or, using parametric equations, In polar coordinates its equation is even simpler: It has two vertical asymptotes at x = ±a, shown as dashed blue lines in the figure at right. The kappa curve's curvature: Tangential angle: (Wikipedia).
Etale Theta - part 3 - Interior/Cuspidal Cyclotome and the cover Xu
Here is what we do: *explain the cyclotome appearing in the two step nilpotent quotient of Delta. This cyclotome is used for coefficients for the Kummer class of the Jacobi Theta function. *We construct covers Xu of a punctured elliptic curve which depends on a choice of l-torsion subgrou
From playlist Etale Theta
Epsilon delta definition of limit explained on an example
Epsilon delta definition of limit made easy
From playlist Summer of Math Exposition Youtube Videos
The Riemann Hypothesis - Picturing The Zeta Function
in this chapter i will show how to visualize the zeta and eta functions in the proper way meaning that everything on those two functions is made out of spirals all over the grid and the emphasis in this chapter will be on the center points of the spirals mainly the divergent spirals 0:00
From playlist Summer of Math Exposition Youtube Videos
Etale Theta - part 3.1 - The Groupy Definition of Xu
Here we give an alternative description of the ZZ/l cover of the punctured elliptic curve X. Twitter: @DupuyTaylor
From playlist Etale Theta
Epsilon-Delta Definition of a Limit (Not Examinable)
This video introduces the formal definition for the limit of a function at a point. Presented by Norman Wildberger of the School of Mathematics and Statistics, UNSW.
From playlist Mathematics 1A (Calculus)
Epsilon delta limit (Example 3): Infinite limit at a point
This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!
From playlist Calculus
More identities involving the Riemann-Zeta function!
By applying some combinatorial tricks to an identity from https://youtu.be/2W2Ghi9idxM we are able to derive two identities involving the Riemann-Zeta function. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Riemann Zeta Function
Epsilon delta limit (Example 5): x cubed
Limit of x goes to 2 of x^3 using the epsilon delta definition of a limit. In this video, I calculate the limit as x goes to 2 of x^3, using the epsilon-delta definition of a limit. Enjoy! Example 1: https://www.youtube.com/watch?v=MaPkBZMkR1U Example 2: https://www.youtube.com/watch?v=W
From playlist Calculus
Birational Geometry and Orbifold Pairs : Arithmetic and hyperbolic... (Lecture 2) by Frederic Campa
PROGRAM : TOPICS IN BIRATIONAL GEOMETRY ORGANIZERS : Indranil Biswas and Mahan Mj DATE : 27 January 2020 to 31 January 2020 VENUE : Madhava Lecture Hall, ICTS Bangalore Birational geometry is one of the current research trends in fields of Algebraic Geometry and Analytic Geometry. It ca
From playlist Topics In Birational Geometry
An overconvergent Eichler-Shimura map - Adrian Iovita
Adrian Iovita Corcordia University March 21, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Calculus 3: Vector Calculus in 2D (36 of 39) Equations of Curvature
Visit http://ilectureonline.com for more math and science lectures! In this video I will show addition equations we can use when describing of the curvature of a curve K=d(phi)/ds, |K|=|dT/ds|, |K|=|dT/ds|/(ds/dt). Next video in the series can be seen at: https://youtu.be/nRsuidTD1ZU
From playlist CALCULUS 3 CH 3 VECTOR CALCULUS
The Liouville conformal field theory quantum zipper - Morris Ang
Probability Seminar Topic: The Liouville conformal field theory quantum zipper Speaker: Morris Ang Affiliation: Columbia University Date: February 17, 2023 Sheffield showed that conformally welding a γ-Liouville quantum gravity (LQG) surface to itself gives a Schramm-Loewner evolution (
From playlist Mathematics
Conformal removability of non-simple Schramm-Loewner evolutions - Konstantinos Kavvadias
Probability Seminar Topic: Conformal removability of non-simple Schramm-Loewner evolutions Speaker: Konstantinos Kavvadias Affiliation: Tata Institute of Fundamental Research Date: April 07, 2023 We consider the Schramm-Loewner evolution (SLE_{kappa}) for kappa in (4,8), which is the re
From playlist Mathematics
Tensor Calculus Lecture 14f: Principal Curvatures
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Yilin Wang - 1/4 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)
The Loewner energy for Jordan curves first arises from the large deviations of Schramm-Loewner evolution (SLE), a family of random fractal curves modeling interfaces in 2D statistical mechanics. In a certain way, this energy measures the roundness of a Jordan curve, and we show that it is
From playlist Yilin Wang - The Loewner Energy at the Crossroad of Random Conformal Geometry and Teichmueller Theory
Birational Geometry and Orbifold Pairs :Arithmetic and hyperbolic... (Lecture 3) by Frederic Campana
PROGRAM : TOPICS IN BIRATIONAL GEOMETRY ORGANIZERS : Indranil Biswas and Mahan Mj DATE : 27 January 2020 to 31 January 2020 VENUE : Madhava Lecture Hall, ICTS Bangalore Birational geometry is one of the current research trends in fields of Algebraic Geometry and Analytic Geometry. It ca
From playlist Topics In Birational Geometry
Ancient solutions to geometric flows III - Panagiota Daskalopoulos
Women and Mathematics: Uhlenbeck Lecture Course Topic: Ancient solutions to geometric flows III Speaker: Panagiota Daskalopoulos Affiliation: Columbia University Date: May 23, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Some identities involving the Riemann-Zeta function.
After introducing the Riemann-Zeta function we derive a generating function for its values at positive even integers. This generating function is used to prove two sum identities. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist The Riemann Zeta Function