Descriptive set theory | General topology
In the mathematical field of descriptive set theory, a pointclass is a collection of sets of points, where a point is ordinarily understood to be an element of some perfect Polish space. In practice, a pointclass is usually characterized by some sort of definability property; for example, the collection of all open sets in some fixed collection of Polish spaces is a pointclass. (An open set may be seen as in some sense definable because it cannot be a purely arbitrary collection of points; for any point in the set, all points sufficiently close to that point must also be in the set.) Pointclasses find application in formulating many important principles and theorems from set theory and real analysis. Strong set-theoretic principles may be stated in terms of the determinacy of various pointclasses, which in turn implies that sets in those pointclasses (or sometimes larger ones) have regularity properties such as Lebesgue measurability (and indeed universal measurability), the property of Baire, and the perfect set property. (Wikipedia).
Spring Tutorial 29 - A Few More Pointcut Expressions
In this tutorial, we'll learn about a few other Pointcut expressions that can be used to advice different methods.
From playlist Spring AOP
Spring Tutorial 28 - Pointcuts and Wildcard Expressions
We'll now learn what a Pointcut is, the Pointcut annotation and how to apply advice to multiple pointcuts.
From playlist Spring AOP
👉 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
JavaScript Video Tutorial Pt 3
Best JavaScript Book : http://goo.gl/zodRHD In this JavaScript Video Tutorial I will completely cover JavaScript Object Oriented Programming : Objects, Classes, Properties, Methods, Prototype, Encapsulation, Inheritance, Constructors, Method Overloading, Polymorphism. Code is Here: http:
From playlist JavaScript Video Tutorial
Object Oriented Programming 1 - Classes and Objects
This is the first in a series of videos that introduce object oriented programming (OOP) using Visual Basic.NET (VB.NET). This video explains the relationship between a class and an object. It shows how the public interface of a custom class can be coded, by declaring public variables wi
From playlist Object Oriented Programming
👉 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
👉 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
👉 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
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👉 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
What is a point a line and a plane
👉 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