In measure theory, given a measurable space and a signed measure on it, a set is called a positive set for if every -measurable subset of has nonnegative measure; that is, for every that satisfies holds. Similarly, a set is called a negative set for if for every subset satisfying holds. Intuitively, a measurable set is positive (resp. negative) for if is nonnegative (resp. nonpositive) everywhere on Of course, if is a nonnegative measure, every element of is a positive set for In the light of Radon–Nikodym theorem, if is a σ-finite positive measure such that a set is a positive set for if and only if the Radon–Nikodym derivative is nonnegative -almost everywhere on Similarly, a negative set is a set where -almost everywhere. (Wikipedia).
Why Does a Negative Times a Negative Equal a Positive
This tutorial uses basic math and logic to demonstrate that a negative times a negative equals a positive. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Basic Math
A look at why negative numbers multiply and divide to get positive products or quotients.
From playlist Core Standards - 7th Grade Math
Ex: Simplifying the Opposites of Negatives Integers
This video provides several examples of simplifying opposites of negative integers. Search Complete Video Library at http://www.mathispower4u.wordpress.com
From playlist Introduction to Integers
Positive and Negative Number Patterns
Using simple patterns with negative numbers to understand general rules for adding and subtracting numbers
From playlist Middle School - Worked Examples
Proving a Negative Times a Negative Is a Positive with the Distributive Property
When you're multiplying integers and especially when you begin multiplying negative numbers, one of the first questions that comes up for students is why does a negative times a negative equal a positive? There are lots of ways to show it, and a couple of my favorites are: + Multiplicatio
From playlist Math Mini
Cubic Curve Sketching (1 of 2: Using Factor Lines to determine regions the curve runs through)
More resources available at www.misterwootube.com
From playlist Further Work with Functions (related content)
How To Add Positive & Negative Numbers | Numbers | Maths | FuseSchool
Learn how to add positive and negative integers!
From playlist MATHS: Numbers
Prealgebra Lecture 2.4 Part 2: Multiplying and Dividing Integers
From playlist Prealgebra Playlist 1
How to work with Positive and Negative Numbers
learn the rules of positive and negative numbers
From playlist Pre-Algebra
Sketching Rational Functions Step by Step (6 Examples!)
Learn how to sketch rational functions step by step in this collaboration video with Fort Bend Tutoring and Mario's Math Tutoring. We go through 6 examples involving graphing using vertical asymptotes, slant asymptotes, horizontal asymptotes, holes, x-intercepts, y-intercepts, and sign an
From playlist Algebra 2
Calculus AB Homework 4.4: Relative Extrema
Download Packet: https://goo.gl/tg9SDC ================================= AP Calculus AB / IB Math SL Unit 4: Applications of the Derivative Lesson 4: Relative Extrema =================================
From playlist AP Calculus AB
Multiplying two numbers positive and negative, 4 . (-3)
👉 You will learn how to multiply integers from one digit to multiple digits. When multiplying it is important to understand that multiplication is just repeated addition. However with multi-digit numbers we will follow a step by step process to find the product of the two numbers. 👏SUB
From playlist Integer Operations
This video introduces signed graphs and signed graph theory. Signed graphs are graphs where the edges are given a positive or negative sign. They see applications in scheduling (signed graph coloring specifically), data science, social psychology, and more. In future videos we'll look at c
From playlist Summer of Math Exposition Youtube Videos
Graphing Rational Functions Step-by-Step (Complete Guide 3 Examples)
Learn how to graph rational functions step-by-step in this video math tutorial by Mario's Math Tutoring. We go through 3 examples involving finding horizontal asymptotes, slant asymptotes, holes (removable discontinuities), x intercepts, y intercepts, as well as using sign analysis. Re
From playlist Algebra 2
Stanford EE104: Introduction to Machine Learning | 2020 | Lecture 12 - classifiers
Professor Sanjay Lall Electrical Engineering To follow along with the course schedule and syllabus, visit: http://ee104.stanford.edu To view all online courses and programs offered by Stanford, visit: https://online.stanford.edu/ 0:00 Introduction 0:11 Categorical outputs 12:07 Applic
From playlist Stanford EE104: Introduction to Machine Learning Full Course
R & Python - Sentiment Analysis Part 1 (2022)
Lecturer: Dr. Erin M. Buchanan Spring 2022 https://www.patreon.com/statisticsofdoom This video is part of my Natural Language Processing course. This video expands the previous classification videos into sentiment analysis. You will learn both unsupervised lexicon approaches along with a
From playlist Natural Language Processing
Master Solving a quadratic equation by factoring a trinomial when a=1
Subscribe! http://www.freemathvideos.com Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter and section. The purpose of posting my free video tutorials is to not only help students but allow teachers the resources to flip their classro
From playlist Quadratic Functions #Master
Factor a Trinomial with A not 1 Using Trial and Error: 6x^2+7x-20, 8x^2-42x+27
This video explains how to factor a trinomial in the form ax^2+bx+c when a is not 1 and no common factors other than 1. http://mathispower4u.com
From playlist Factoring Trinomials with a Leading Coefficient Not 1
solving and expression with absolute value and negative numbers
From playlist Common Core Standards - 7th Grade
Stanford CS229: Machine Learning | Summer 2019 | Lecture 21 - Evaluation Metrics
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3b2QxDe Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html 0:00
From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)