General topology | Algebraic geometry
In algebraic geometry, a generic point P of an algebraic variety X is, roughly speaking, a point at which all generic properties are true, a generic property being a property which is true for almost every point. In classical algebraic geometry, a generic point of an affine or projective algebraic variety of dimension d is a point such that the field generated by its coordinates has transcendence degree d over the field generated by the coefficients of the equations of the variety. In scheme theory, the spectrum of an integral domain has a unique generic point, which is the zero ideal. As the closure of this point for the Zariski topology is the whole spectrum, the definition has been extended to general topology, where a generic point of a topological space X is a point whose closure is X. (Wikipedia).
C72 What to do about the singular point
Now that we can calculate a solution at analytical points, what can we do about singular points. It turns out, not all singular points are created equal. The regular and irregular singular point.
From playlist Differential Equations
Null points and null lines | Universal Hyperbolic Geometry 12 | NJ Wildberger
Null points and null lines are central in universal hyperbolic geometry. By definition a null point is just a point which lies on its dual line, and dually a null line is just a line which passes through its dual point. We extend the rational parametrization of the unit circle to the proj
From playlist Universal Hyperbolic Geometry
The circle and Cartesian coordinates | Universal Hyperbolic Geometry 5 | NJ Wildberger
This video introduces basic facts about points, lines and the unit circle in terms of Cartesian coordinates. A point is an ordered pair of (rational) numbers, a line is a proportion (a:b:c) representing the equation ax+by=c, and the unit circle is x^2+y^2=1. With this notation we determine
From playlist Universal Hyperbolic Geometry
Overview of points lines plans and their location
👉 Learn how to label 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 point is labeled using a capital letter. A line can be labeled usi
From playlist Labeling Point Lines and Planes From a Figure
Naming the rays in a given figure
👉 Learn how to label 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 point is labeled using a capital letter. A line can be labeled usi
From playlist Labeling Point Lines and Planes From a Figure
Sketch the angle then find the reference angle
👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant
From playlist Find the Reference Angle
Algebraic geometry 37: Singular points (replacement video))
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It defines singular points and tangents spaces, and shows that the set of nonsingular points of a variety is open and dense. This is a replacement for the original video,
From playlist Algebraic geometry I: Varieties
CCSS How to Label a Line, Line Segment and Ray
👉 Learn how to label 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 point is labeled using a capital letter. A line can be labeled usi
From playlist Labeling Point Lines and Planes From a Figure
Group theory 32: Subgroups of free groups
This lecture is part of an online mathematics course on group theory. We describe subgroups of free groups, show that they are free, calculate the number of generators, and give two examples.
From playlist Group theory
Lecture 10 - Generating Functions
This is Lecture 10 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2010.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
How to label points lines and planes from a figure ex 1
👉 Learn how to label 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 point is labeled using a capital letter. A line can be labeled usi
From playlist Labeling Point Lines and Planes From a Figure
How To Create Top-Down RPG For Game In Unity | Session 16 | #unity | #gamedev
Don’t forget to subscribe! In this project series, we will learn to create a Top-Down RPG in Unity for the enemy game. We will develop a great RPG enemy AI. In this series, we'll be analyzing and experimenting with different types of enemies, AI, behaviors, and also randomly generating t
From playlist Create Top-Down RPG For Game In Unity
Counting Integer Points in Polygons with Negative Numbers | A 'moral' Intro to Generating Functions
Turn on the subtitles for the BEST experience. :) 0:00 - Introduction 5:17 - Section 1: The What and Why of Generating Functions 15:18 - Section 2: Finding GFs for Lattice Counting Functions 34:11 - Section 3: Substituting Negative Numbers 47:46 - Section 4: The Finale 58:09 - Conclusion
From playlist Summer of Math Exposition 2 videos
José Felipe Voloch: Generators of elliptic curves over finite fields
Abstract: We will discuss some problems and results connected with finding generators for the group of rational points of elliptic curves over finite fields and connect this with the analogue for elliptic curves over function fields of Artin's conjecture for primitive roots. Recording du
From playlist Number Theory
Matthew Conder: Discrete two-generator subgroups of PSL(2,Q_p)
Matthew Conder, University of Auckland Thursday 10 October 2022 Abstract: Discrete two-generator subgroups of PSL(2,R) have been extensively studied by investigating their action by Möbius transformations on the hyperbolic plane. Due to work of Gilman, Rosenberger, Purzitsky and many othe
From playlist SMRI Seminars
The Geography of Immersed Lagrangian Fillings of Legendrian Submanifolds - Lisa Traynor
IAS/PU-Montreal-Tel-Aviv Symplectic Geometry Seminar Topic: The Geography of Immersed Lagrangian Fillings of Legendrian Submanifolds Speaker: Lisa Traynor Date: April 24, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
The Rust Book (v2) part 36 - Chapter 10 - Generics and Traits
I'm streaming every weekday morning on Twitch at https://www.twitch.tv/brookzerker. Please feel free to stop by and say hi! Links Rust book: https://doc.rust-lang.org/book/second-edition/ My code: https://github.com/BrooksPatton/learning-rust The Learning Wiki: https://github.com/BrooksP
From playlist Rust Book
Name the opposite rays in the given figure
👉 Learn how to label 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 point is labeled using a capital letter. A line can be labeled usi
From playlist Labeling Point Lines and Planes From a Figure
Visualization of the Divergence and Curl of a vector field. My Patreon Page: https://www.patreon.com/EugeneK
From playlist Physics