In mathematics, the positive part of a real or extended real-valued function is defined by the formula Intuitively, the graph of is obtained by taking the graph of , chopping off the part under the x-axis, and letting take the value zero there. Similarly, the negative part of f is defined as Note that both f+ and f− are non-negative functions. A peculiarity of terminology is that the 'negative part' is neither negative nor a part (like the imaginary part of a complex number is neither imaginary nor a part). The function f can be expressed in terms of f+ and f− as Also note that . Using these two equations one may express the positive and negative parts as Another representation, using the Iverson bracket is One may define the positive and negative part of any function with values in a linearly ordered group. The unit ramp function is the positive part of the identity function. (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
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)
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
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
Prealgebra 3.04d - Multiplying Fractions that are Negative
The rules pertaining to multiplying negative numbers also apply to negative fractions.
From playlist Prealgebra Chapter 3 (Complete chapter)
This video compared the forms of fractions and simplifies fractions with multiple negative signs.
From playlist Multiplying and Dividing Fractions
multiplying negatives
From playlist Arithmetic and Pre-Algebra: Negative Numbers
Prealgebra Lecture 2.4 Part 2: Multiplying and Dividing Integers
From playlist Prealgebra Playlist 1
Expanding Single and Double Brackets | KS3 Mathematics | GCSE 9-1 Mathematics | AS Pure REVISION!!!!
Dear all I am making maths videos and also a maths tutor for all levels. Offer online+ Face to Face. Check out my website for more information www.abdallahmathstutoring.co.uk Also i sell products on etsy.com/AWMathsStationary for calculators and books. Books are all 50 pence for all lev
From playlist A Level OCR MEI Maths
Intervals of increase and decrease
A problem on intervals of increase and decrease
From playlist 241 prac ex 3 fall 2011
Point Charges (10 of 10) Work, Potential Energy and Potential, Part 2
In this video Mr. Swarthout gives an explanation of the difference between negative and positive electric potential energy and work as it relates to point charges. An electric potential is the amount of work needed to move a unit of positive charge from a reference point to a specific poin
From playlist Electricity and Magnetism
Rectilinear Motion Problems - Distance, Displacement, Velocity, Speed & Acceleration
This calculus video tutorial provides a basic introduction into solving rectilinear motion problems and solving vertical motion problems such as projectile motion. This video explains how to find the velocity function given the acceleration. It discusses the difference between speed and
From playlist New Calculus Video Playlist
Complex Analysis: One EXOTIC Integral
Today, we attempt to integrate a function with infinitely branch cuts. Integral of x*log(1+e^x)/(1+x^2)^2 from -infinity to infinity
From playlist Contour Integration
Distance, Displacement, Average Speed, Average Velocity - Physics
This physics video provides a basic introduction into distance, displacement, average speed, and average velocity. It has many examples and practice problems. Access The Full 1 Hour 33 Minute Video on Patreon: https://www.patreon.com/MathScienceTutor Annual Membership - Save 15%: https:
From playlist New Physics Video Playlist
Curve Sketching - Graphing Functions Using Derivatives | Calculus
This calculus video tutorial provides a basic introduction into curve sketching. it explains how to graph polynomial functions using the signs of the first derivative and the second derivative of a function. You need to identify the critical numbers and potential inflection points in add
From playlist New Calculus Video Playlist
Khan Academy Live: AP Calculus
Taking AP Calculus? Prep for the exam with our free live tutoring session. Dave, one of our calculus experts, will review key concepts, solve sample questions, and share ways to avoid common mistakes. Prep for your AP Calculus exams on Khan Academy: https://www.khanacademy.org/math/ap-cal
From playlist New and Noteworthy
Pre-Calculus - Solving rational inequalities
This video will show you how to solve rational inequalities. Remember to carefully test values around your critical values so you can see what intervals will satisfy your inequality. For more videos please visit http://www.mysecretmathtutor.com
From playlist Pre-Calculus
a set of basic problems dealing with negative numbers
From playlist Middle School This Year
AP Calculus AB 1998 Multiple Choice No Calculator
This video reviews the No Calculator Multiple Choice questions from the 1998 AP Calculus AB exam.
From playlist AP Calculus AB/BC Review