In science and technology, an arbitrary unit (abbreviated arb. unit, )or procedure defined unit (p.d.u.)is a relative unit of measurement to show the ratio of amount of substance, intensity, or other quantities, to a predetermined reference measurement. The reference measurement is typically defined by the local laboratories or dependent on individual measurement apparatus. It is therefore impossible to compare "1 arb. unit" by one measurer and "1000 arb. unit" by another measurer without detailed prior knowledge on how the respective "arbitrary units" were defined; thus, the unit is sometimes called an unknown unitThe unit only serves to compare multiple measurements performed in similar environment, since the ratio between the measurement and the reference is a consistent and dimensionless quantity independent of what actual units are used.Units of such kind are commonly used in fields such as physiology to indicate substance concentration, and spectroscopy to express spectral intensity. When the reference measurement is precisely defined and internationally agreed upon, arbitrary units can also be a unit capable of public comparison. One example of a publicly defined arbitrary unit is the WHO International Unit. (Wikipedia).
Simplifying a rational expression by factoring
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Dividing two rational expressions by factoring
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Learning to make multiplying rational expressions easy
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Binomials) #Rational
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Divide two rational expressions by simplifying
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Multiplying rational expressions
Learn how to multiply rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To multiply two rational expressions, we use the distributive property to multiply both numerators togethe
From playlist Multiply Rational Expressions (Binomials) #Rational
Dividing two rational expression with a lot of factoring by multiplying
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
What are arbitrary units (A.U.)? And how to deal with them? Revision and Exam Techniques #27
I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Get exam ready for GCSE Maths https://primrosekitt
From playlist How to be successful in school
Mechanical Engineering: Rigid Bodies & Sys of Forces (25 of 47) Moment of Force About Any Axis
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the moment of a force about an arbitrary axis, even one that doesn't go through the axis. Next video in the Rigid Bodies and System of Forces series can be seen at: http://youtu.be/j0pF_kgj
From playlist MECHANICAL ENGINEERING 2 - MOMENT OF A FORCE
Foundations of Quantum Mechanics: Topology of a vector space
Foundations of Quantum Mechanics: Topology of a vector space This lecture explores how a norm induces a rather obvious topology on a vector space. We also dive deep into some analysis to prove a few interesting lemmas about normed vector spaces. We demonstrate the interesting result that
From playlist Mathematical Foundations of Quantum Mechanics
Tensor Calculus 3a: The Covariant Basis
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Mechanical Engineering: Rigid Bodies & Sys of Forces (22 of 47) Moment of F About a given Axis
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the moment of a force about a given axis. Next video in the Rigid Bodies and System of Forces series can be seen at: http://youtu.be/Z-JTnWuj2P0
From playlist MECHANICAL ENGINEERING 2 - MOMENT OF A FORCE
Abstract Algebra | Introduction to Principal Ideal Domains (PIDs)
After introducing the notion of a principal ideal domain (pid), we give some examples, and prove some simple results. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcolle
From playlist Abstract Algebra
Vector Calculus 5: Vector Equation of a Straight Line
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Vector Calculus
Lec 2 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 2: Discrete-time signals and systems, part 1 Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
DeepSec 2009: Advanced MySQL Exploitation
Thanks to the DeepSec organisation for making these videos available and let me share the videos on YouTube. Speaker: Muhaimin Dzulfakar Muhaimin Dzulfakar explains how to exploit access to a MySQL database server (either by direct access or indirectly via applications). For more inform
From playlist DeepSec 2009
Adding constraints to the sum of two rational expressions with unlike denominators
Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational expressions we first obtain the lowest common multiple (LC
From playlist Add/Subtract Rational Expressions (Binomials) #Rational