In algebraic geometry, a line complex is a 3-fold given by the intersection of the Grassmannian G(2, 4) (embedded in projective space P5 by Plücker coordinates) with a hypersurface. It is called a line complex because points of G(2, 4) correspond to lines in P3, so a line complex can be thought of as a 3-dimensional family of lines in P3. The linear line complex and quadric line complex are the cases when the hypersurface has degree 1 or 2; they are both rational varieties. (Wikipedia).
Calculus 3: Line Integrals (4 of 44) What is a Line Integral? NOT TO BE CONFUSED WITH
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the line integral is NOT the length of a line (curve). Next video in the series can be seen at: https://youtu.be/yUHGDBYxGe0
From playlist CALCULUS 3 CH 6 LINE INTEGRALS
Calculus 3: Line Integrals (9 of 44) What is a Line Integral? A Conceptual View
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain a conceptual view of a line integral where the C is the upper half of the circle. Next video in the series can be seen at: https://youtu.be/g89htwHVoWI
From playlist CALCULUS 3 CH 6 LINE INTEGRALS
15_1 An Introduction to Line Integrals
In this lecture I start to explain the concept of a line integral.
From playlist Advanced Calculus / Multivariable Calculus
What is a line segment and ray
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
Free ebook http://tinyurl.com/EngMathYT How to integrate over curves to produce a line integral (involving scalar valued functions). I discuss an example and geometric interpretation.
From playlist Engineering Mathematics
Calculus 3: Line Integrals (11 of 44) What is a Line Integral? Example 2.5
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the line integral of (2x)ds where C=C1+C2. Next video in the series can be seen at: https://youtu.be/S3yyf_G1t0Y
From playlist CALCULUS 3 CH 6 LINE INTEGRALS
Calculus 3: Line Integrals (1 of 44) What is a Line Integral?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain some of the 4 different types of line integral. Next video in the series can be seen at: https://youtu.be/fwv1B0vryJU
From playlist CALCULUS 3 CH 6 LINE INTEGRALS
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
Complex sine waves and interpreting Fourier coefficients
Now that you know the basic mechanics underlying the Fourier transform, it's time to learn about complex numbers, complex sine waves, and how to extract power and phase information from a complex dot product. Don't worry, it's actually not so complex! The video uses files you can download
From playlist OLD ANTS #2) The discrete-time Fourier transform
Solving Olympiad Level Geometry Problems with Complex Numbers #SoME2
Errata: At 9:20 the second -lambda should be replaced with +lambda At 13:09 we meant to say: "The astute scholars amongst you may have noticed that we just looked at Cartesian geometry up to this point." At 24:53 we meant to say: "We just know that D is somewhere on the line segment AC."
From playlist Summer of Math Exposition 2 videos
Hilbert Space Techniques in Complex Analysis and Geometry (Lecture 1) by Dror Varolin
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
Robyn Brooks and Celia Hacker (6/24/20): Morse-based fibering of the rank invariant
Title: Morse-based fibering of the rank invariant Abstract: Given the success of single-parameter persistence in data analysis and the fact that some systems warrant analysis across multiple parameters, it is highly desirable to develop data analysis pipelines based on multi-parameter per
From playlist AATRN 2020
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.
From playlist NEW ANTS #2) Static spectral analysis
Claudia Landi (8/29/21): Discrete Morse Theory meets Multi-Parameter Persistence
Discrete Morse theory permits reducing a cell complex to the critical cells of a gradient vector field. Critical cells carry all the relevant homological information about the input data. Multiparameter persistence is a promising tool in topological data analysis of multivariate data that
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
Nexus Trimester - Alexander Shen (LIRMM, Montpellier) 2/2
Different versions of Kolmogorov complexity and a priori probability: a gentle introduction Alexander Shen (LIRMM, Montpellier) February 01, 2016 Abstract: The informal idea – the complexity is the minimal number of bits needed to describe the object – has several different implementatio
From playlist Nexus Trimester - 2016 - Distributed Computation and Communication Theme
On Ultra-Parallel Complex Hyperbolic Triangle Groups by Anna Pratoussevitch
SURFACE GROUP REPRESENTATIONS AND GEOMETRIC STRUCTURES DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi
From playlist Surface Group Representations and Geometric Structures
Analytic Continuation and the Zeta Function
Where do complex functions come from? In this video we explore the idea of analytic continuation, a powerful technique which allows us to extend functions such as sin(x) from the real numbers into the complex plane. Using analytic continuation we can finally define the zeta function for co
From playlist Analytic Number Theory
Claudia Landi (5/11/22): Multi-parameter persistence from the viewpoint of discrete Morse theory
Although there is no doubt that multi-parameter persistent homology is a useful tool for the topological analysis of multivariate data, a complete understanding of these modules is still lacking. Issues such as computation, visualization, and interpretation of the output remain difficult t
From playlist Bridging Applied and Quantitative Topology 2022
What is the difference between a line, line segment and ray
http://www.freemathvideos.com In this video series you will learn step by step how to solve different geometry problems based on my teaching of Geometry in highschool. We will cover topics throughout the whole curriculum. Use these videos to help you with your homework and study for test
From playlist Points Lines and Planes