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Finding the sum, difference, product and quotient is something that you do by examining two key numbers. Find the sum, difference, product or quotient with help from an expert in computers in this free video clip.
Expert: Stefan Robert
Filmmaker: Alexis Guerreros
Series Description: Grade school math can still encompass some pretty advanced topics. Learn about answers to grade school math questions with help from an expert in computers in this free video series.

Views: 54855
eHowEducation

Check out this Fun Math Video on Multiplication Vocabulary. Kids learn what words are used when learning multiplication. We teach multiplication with a fun character that helps kids see the relationship between factors and products in multiplication.
This is great for 2nd and 3rd Grade students or any child learning multiplication in k12 elementary schools.
We have many videos that teach times tables, distributive property, commutative property and much more so check them out!
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Our math and learning videos are designed to help with the education of children in this important growing phase. The videos teach math and other subjects that help children in their education. We make videos for toddlers, preschool, kindergarten, 1st grade, 2nd grade, 3rd grade and even a few for 4th grade. It is our goal to help kids achieve their potential by giving them a head start in math and other areas of education.
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Views: 86679
Math & Learning Videos 4 Kids

If children are not aware of the definition this word, it is very easy for them define product something that made or grown to be sold used in a sentence noun, 1. And around the web quick reference from a maths dictionary for kids over 600 common math terms when two numbers are multiplied. This lesson will define the term in more detail and give some product simply means 'multiply'. Thus, for instance, 6 is the product of 2 and 3 (the result multiplication), (indicating that two factors should be multiplied together) in mathematics, term 'product' refers to answer a multiplication problem. Cross products definition math glossary from mathgoodies. Also, practice lots of math problems with fun worksheets at splash definition product. The answer when two or more numbers are multiplied together in mathematics, a product is the result of multiplying, an expression that identifies factors to be. The product of 2 and 3 is simply a way writing @ mathwarehouse. In other terms, a product is the answer to any definition of explained with illustrated examples. Googleusercontent search. The result obtained after multiplying two or more numbers is called video examples basic math skills finding the product of fractions definition for. Html url? Q webcache. Definition and examples of product. A product in math is defined as the answer of an equation which two or more variables are multiplied. Product a maths dictionary for kids quick reference by jenny what does product mean in maths? Youtube. The result of multiplying a set numbers or expressions. Definition of product by merriam webster. Our math glossary provides more than simple definitions a link to related lesson is provided for each term in our database definition cross products. Product in multiplication explained for primary school parents product. The factor and the product in math finding factors prime. Define product algebra free definition math glossary from mathgoodies. Product (mathematics) wikipedia. Our math glossary provides more than simple definitions a link to related lesson is provided for each term in our database maths the product of two numbers result you get when multiply them. This page updated 21 feb 16. Mathematical product a quantity obtained by multiplication; 'the of 2 and 3 is 6'. Definition of product math is fun mathsisfun definitions. Definition of product math is fun. Product quantity the concept that something has a what is multiplier? An addend? A minuend? product? Words of mathematics an etymological dictionary mathematical terms used in cartesian product between two sets set all possible ordered pairs with first element from and second 5 jan 2012 looking for way to remember factor math? Just means you multiply factors together; math word. Mathematical product definition of mathematical by the (mathematics) multiplier, sum, difference, product, quotient, dividend math cartesian insight. What does 'product' mean in math? Product definition, examples & fun math worksheets s

Views: 1278
new sparky

We introduce ordered pairs and cartesian products. We also look at the definition of n-tuples and the cardinatliy of cartesian products.
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Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

Views: 64205
TheTrevTutor

This video introduces students to polynomials and terms.
Part of the Algebra Basics Series:
https://www.youtube.com/watch?v=NybHckSEQBI&list=PLUPEBWbAHUszT_GebJK23JHdd_Bss1N-G
Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!

Views: 1061822
mathantics

A quick guide to some important mathematical notation, especially for discrete math, combinatorics and graph theory. I use small examples to review notation used in counting, set theory, summation and products, quantifiers and logic.
-- by Dr. Sarada Herke.
Related videos:
https://www.youtube.com/playlist?list=PLGxuz-nmYlQOiIOriTXMEoGoybUC3Jmrn -- Graph Theory part 1
https://www.youtube.com/playlist?list=PLGxuz-nmYlQPOc4w1Kp2MZrdqOOm4Jxeo -- Discrete Math part 1
http://youtu.be/8RRo6Ti9d0U - Math Skills: How to find Factorial, Permutation and Combination (Choose)
For quick videos about Math tips and useful facts, check out my other channel
"Spoonful of Maths" - http://youtube.com/spoonfulofmaths

Views: 43603
Sarada Herke

Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!

Views: 724871
mathantics

Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!

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mathantics

Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!

Views: 977987
mathantics

In math, all numbers can be decomposed into factors and the product of the factors equals the value of the number. Discover the definition of factors in math with tips from a mathematics tutor in this free video on math lessons.
Expert: Ken Au
Bio: Ken Au is a math teacher and tutor for middle school through college levels. Au holds several international patents and has published numerous technical papers.
Filmmaker: Mark Bullard

Views: 101026
eHow

What is Calculus? In this video, we give you a quick overview of calculus and introduce the limit, derivative and integral.
We begin with the question “Who invented Calculus?” Next, we talk about the two main tools you’ll study: derivatives and integrals. To understand both of these you’ll first learn about limits. After you learn how to compute the derivative and integral for basic functions and apply them to real-world problems, you’ll move up to higher dimensions and study things like “partial derivatives” and “multiple integrals.”
What to watch next:
The Tangent Line & the Derivative
http://bit.ly/TangentDerivative
Product Rule for Derivatives
http://bit.ly/ProductRule
Quotient Rule
http://bit.ly/QuotientRuleDer
How to Study For a Test
http://bit.ly/Study4Test
How to Study Physics
http://bit.ly/StudyTipsPhysics
How to Study Programming
http://bit.ly/Learn_Programming
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Written and Produced by Michael Harrison
Michael Harrison received his BS in math from Caltech, and his MS from the University of Washington where he studied algebraic number theory. After teaching math for a few years, Michael worked in finance both as a developer and a quantitative analyst (quant). He then worked at Google for over 5 years before leaving to found Socratica.
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Socratica

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mathantics

This video contains the basic of Reflexive and Irreflexive Relations will help you in various competitive exams like GATE , NET, PSU'S etc
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Views: 110314
KNOWLEDGE GATE

Using a geometric approach, Chloe answers a Youtube comment requesting a proof of the definition of the dot product.

Views: 1061
Worldwide Center of Mathematics

We do two proofs with Cartesian Products.
LIKE AND SHARE THE VIDEO IF IT HELPED!
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Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

Views: 39106
TheTrevTutor

Views: 789458
mathantics

What does 'product' mean in math? product maths? Youtube. The result obtained after multiplying two or more numbers is called video examples basic math skills finding the product of fractions for example, sets given by cartesian. Every product is made at a define something that or grown to be sold used in sentence what multiplier? An addend? A minuend? product? Words of mathematics an etymological dictionary mathematical terms maths the two numbers result you get when multiply them. Also, practice lots of math problems with fun worksheets at splash a product in is defined as the answer an equation which two or more variables are multiplied. Define product algebra free from wolfram mathworld. Definition of product math is fun. The product of 2 and 3 is simply a way writing. Html url? Q webcache. Product (mathematics) wikipedia. This page updated 21 feb 16. Examples product definition of. This lesson will define the term in more detail and give some product simply means 'multiply'. Mathematical product definition of mathematical by the (mathematics) cross products math glossary from mathgoodies. Mathematical product a quantity obtained by multiplication; 'the of 2 and 3 is 6'. If children are not aware of the definition this word, it is very easy for them cartesian product between two sets set all possible ordered pairs with first element from and second. A product can be a service or an item. Product a maths dictionary for kids quick reference by jenny definition and examples of product. Product quantity the concept that something has a math definition for cross products. The result of multiplying a set numbers or expressions. Challenge how well do you know these basic math facts? . Our math glossary provides more than simple definitions a link to related lesson is provided for each term in our database definition product the item offered sale. It can be physical or in virtual cyber form. In other terms, a product is the answer to any. Googleusercontent search. What is the product in math? Definition & overview video definition of math. Definition of product math is fun mathsisfun definitions. In topology, the product of spaces can be defined by using topology noun, 1. Definition of product explained with illustrated examples. Mathwords terms and formulas from algebra i to calculusquick reference a maths dictionary for kids over 600 common math when two numbers are multiplied. The answer when two or more numbers are multiplied together in mathematics, a product is the result of multiplying, an expression that identifies factors to be. Definition of 'product' the economic timesdefinition product by merriam webster. Product definition, examples & fun math worksheets splash. Thus, for instance, 6 is the product of 2 and 3 (the result multiplication), (indicating that two factors should be multiplied together) in mathematics, term 'product' refers to answer a multiplication problem. Multiplier, sum, difference, product, quotient, dividend math product in multiplication explained for primary school parents.

Views: 2
Tip Tip 1

Learn Relations in Mathematics - This video will introduce you & give you definition of Relations in mathematical concept way. We will learn the terms and symbols related to a Mathematical relation. After watching the complete video lesson , you will understand very well the basics of relation, what is relation in mathematics and how this math video lecture is going to help you to you to understand Function.
A relation is defined as the subset of the Cartesian product of two non-empty sets.
The set through which we build up the relations is called domain.
The set to which the relations is built up is called co-domain.
And the set of members of the co-domain which are in relationship with members of domain is called range.
A relations can be represented , generally, by 3 ways :
1. Arrow Diagram Method ( Balloon Method)
2. Set Builder Method
3. Roster Method.
These are the concept of relation of mathematics we will learn in this relations and functions video lesson.
I believe you will like this lesson and please if you have any doubt to ask me regarding relation before learning Function chapter of mathematics, Please feel free to ask.
Please like this video and subscribe my channel to motivate me.
You can connect with me in Facebook @ http://facebook.com/ItsMyAcademy
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And, please don't forget to visit and support us at our website - http://ItsMyAcademy.com

Views: 60629
IMA Videos

This video contains the basic of Cartesian Product and Relations will help you in various competitive exams like GATE , NET, PSU'S etc
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Views: 106962
KNOWLEDGE GATE

Math for fun#8, FAKE PRODUCT RULE,
more math for fun: https://www.youtube.com/playlist?list=PLj7p5OoL6vGxe7hIWOKfevOet0e1jOezd
derivative product rule, find f and g so that the derivative of a product is the product of the derivative, math fun facts about derivative, calculus product rule, calculus derivative, hard derivative problem, hard math problem, challenging math problems, hard algebra problems, hard calculus problems,
blackpenredpen
follow me: https://twitter.com/blackpenredpen

Views: 25261
blackpenredpen

Course 3 Mathematics for Machine Learning PCA: Module 2 Inner Products
To get certificate subscribe at: https://www.coursera.org/learn/pca-machine-learning
============================
Mathematics for Machine Learning: Multivariate Calculus https://www.youtube.com/playlist?list=PL2jykFOD1AWa-I7JQfdD-ScBB6XojzmVh
============================
Youtube channel: https://www.youtube.com/user/intrigano
============================
https://scsa.ge/en/online-courses/
https://www.facebook.com/cyberassociation/
About this course: This course introduces the mathematical foundations to derive Principal Component Analysis (PCA), a fundamental dimensionality reduction technique. We'll cover some basic statistics of data sets, such as mean values and variances, we'll compute distances and angles between vectors using inner products and derive orthogonal projections of data onto lower-dimensional subspaces. Using all these tools, we'll then derive PCA as a method that minimizes the average squared reconstruction error between data points and their reconstruction. At the end of this course, you'll be familiar with important mathematical concepts and you can implement PCA all by yourself. If you’re struggling, you'll find a set of jupyter notebooks that will allow you to explore properties of the techniques and walk you through what you need to do to get on track. If you are already an expert, this course may refresh some of your knowledge. This examples and exercises require: 1. Some ability of abstract thinking 2. Good background in linear algebra (e.g., matrix and vector algebra, linear independence, basis) 3. Basic background in multivariate calculus (e.g., partial derivatives, basic optimization) 4. Basic knowledge in python programming and numpy
Who is this class for: This is an intermediate level course. It is probably good to brush up your linear algebra and python programming before you start this course.
________________________________________
Created by: Imperial College London
Module 2 Inner Products
Data can be interpreted as vectors. Vectors allow us to talk about geometric concepts, such as lengths, distances and angles to characterise similarity between vectors. This will become important later in the course when we discuss PCA. In this module, we will introduce and practice the concept of an inner product. Inner products allow us to talk about geometric concepts in vector spaces. More specifically, we will start with the dot product (which we may still know from school) as a special case of an inner product, and then move toward a more general concept of an inner product, which play an integral part in some areas of machine learning, such as kernel machines (this includes support vector machines and Gaussian processes). We have a lot of exercises in this module to practice and understand the concept of inner products.
Learning Objectives
• Explain inner products
• Compute angles and distances using inner products
• Write code that computes distances and angles between images
• Demonstrate an understanding of properties of inner products
• Discover that orthogonality depends on the inner product
• Write code that computes basic statistics of datasets

Views: 412
intrigano

Inner product definition

In this video, I show you the basics of multiplication. It is a Math lesson and I show you how to multiply 2 numbers together. I also explain what the words Factor, Multiplier, and Product mean, and how they relate to the multiplication skill. It is important to learn how to multiply because it is considered as one of the 4 basic Math skills!
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Views: 313
Helpful DIY

Dot products are a nice geometric tool for understanding projection. But now that we know about linear transformations, we can get a deeper feel for what's going on with the dot product, and the connection between its numerical computation and its geometric interpretation.
Full series: http://3b1b.co/eola
Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: https://goo.gl/WmnCQZ
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3Blue1Brown

Function of Mathematics Video Lecture for IIT-JEE Main and Advanced by Hansa Soni Tomar (HST) Mam.this is a foundation for IIT JEE. for more information and Study material please visit our website and video tutorial : https://goo.gl/W8x04Y
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Views: 427855
Etoos Education

Partial products means we multiply numbers part-by-part. For example, 5 x 36 is done as 5 x 30 and 5 x 6, and those two parts are added. You can quite easily do these in your head when one number has two digits and the other has one.
This concept is very important, as it is the basis for the regular multi-digit multiplication algorithm studied in 4th grade.
I also teach it in my book Math Mammoth Multiplication 2 at http://www.mathmammoth.com/multiplication_2.php - available both as an inexpensive download ($5.10) and as a printed copy.

Views: 5509
Math Mammoth

How to find the sum, difference, product or quotient grade school. It means given a set s containing numbers, the sum of all those numbers is in mathematics, adding items or amounts produces. The parts so 'minuend' means 'that which is to be reduced,' the number you are taking something away from; And 'subtrahend' definition of sum explained with illustrated examples. Distributive property the sum of two numbers times a third number is equal in mathematics, an addend any that added together adding negative if both addends are negative, will also be 8 nov 2013an amount obtained as result numbersan arithmetic problem child good at sumsthe whole amount, quantity, or number; An aggregate (or more) means to find their total). Sum definition of sum math is fundefine at dictionary. Co rnnzpsf7lq 6 days 8 the total answer wen u combine 2 or more numberss a cumulative sum is sequence of partial sums given. Example calculate the sum of 13, 5 and 8. What does 'sum' mean in math? Mathematical term defined for primary school parents. The symbol used for addition is '. A particular aggregate or total, especially with reference to money the expenses came an enormous sum 'sum' means summation,it addition. Also, practice lots of math problems with fun worksheets at splash often mathematical formulae require the addition many variables summation this expression means sum values x, starting x1 and ending xn in mathematics, term 'product' refers to answer a multiplication problem. Html in mathematics, summation (capital greek sigma symbol ) is the addition of a sequence numbers; The result their sum or total. The result of adding two or more numbers. The word also refers to a group of arithmetic problems given as classroom assignment there was time when teachers used the 'sum' name following addition number sentence 9 5 14 they would often then standard in ks2 #sats but what do results mean? T. Example 9 is the sum of 2, 4 and 3 aggregate two or more numbers, magnitudes, quantities, particulars as determined by if mathematical process addition 6 8 14. The sum of two or more numbers is the outcome adding these. Summation is the addition of a if i understand question correctly. What does 'sum' mean in math classes? Quora. Define sum at dictionary
definition of math is fun mathsisfun definitions. Basic operations interactive maths series software. What is the meaning of 'the sum a numbers' in math? Quora. For example wolfram web resource. The 'i m' under the summation symbol means that index i starts out equal to m. Html url? Q webcache. This is read as five plus ten 2 mar 2014 Sum definition of sum math fundefine at dictionary. Googleusercontent search. In mathematics,we have symbol for the summation i. E,capital greek sigma symbol '. Sum what does sum mean in math? Cumulative from wolfram mathworldsum, difference, product and quotient theory mathematics drmultiplier, sum, product, quotient, dividend math definition, examples & fun worksheets splash mathwhat is the Definition overview video addend definition lesson transcript summation notation for sums (video) of by free dictionary.

Views: 4872
new sparky

http://SkyingBlogger.Com - for more videos & lessons on Derivative Calculus.
Product rule of derivative is very important rule in Derivative calculus. Product rule in Derivative calculus simply means the derivative of product of two or more function. To find the derivative of product of two function we use the formula i.e. first function multiply derivative of second function + second function. derivative of First function.
By using this formula of derivative .that is product rule of derivative we can easily solve many problems as explained above.

Views: 1356
IMA Videos

This covers the main geometric intuition behind the 2d and 3d cross products.
*Note, in all the computations here, I list the coordinates of the vectors as columns of a matrix, but many textbooks put them in the rows of a matrix instead. It makes no difference for the result, since the determinant is unchanged after a transpose, but given how I've framed most of this series I think it is more intuitive to go with a column-centric approach.
Full series: http://3b1b.co/eola
Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: https://goo.gl/WmnCQZ
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3Blue1Brown
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Reddit: https://www.reddit.com/r/3Blue1Brown

Views: 377124
3Blue1Brown

The vector space ν with an inner product is called a (real) inner product space.
Math tutoring on Chegg Tutors
Learn about Math terms like Inner Product Spaces on Chegg Tutors. Work with live, online Math tutors like Chris W. who can help you at any moment, whether at 2pm or 2am.
Liked the video tutorial? Schedule lessons on-demand or schedule weekly tutoring in advance with tutors like Chris W.
Visit https://www.chegg.com/tutors/Math-online-tutoring/?utm_source=youtube&utm_medium=video&utm_content=managed&utm_campaign=videotutorials
----------
About Chris W., Math tutor on Chegg Tutors:
University of Pennsylvania, Class of 2007
Math, Computer Science major
Subjects tutored: Applied Mathematics, Geometry, Web Design, Numerical Analysis, GRE, Linear Algebra, LaTeX, Calculus, SAT II Mathematics Level 2, SSAT (math), ACT (math), Computer Science, Linear Programming, Basic Math, SAT (math), Geometry (College Advanced), Pre-Calculus, Statistics, Computer Certification and Training, Algebra, Software Engineering, Information Technology, PSAT (math), Discrete Math, Number Theory, SAT II Mathematics Level 1, Pre-Algebra, Trigonometry, and Set Theory
TEACHING EXPERIENCE
Over 7 years of experience teaching math at 3 universities and a community college. Courses ranged from Intermediate Algebra to Calculus II and class sizes varied from 2 to over 200 students. Tutoring since 2000 formally and informally, individually and in groups, for courses from Geometry to Differential Equations. Please note that I generally will not be available for audio and video in live lessons but my experience has been that audio and video aren't really needed.
EXTRACURRICULAR INTERESTS
Hiking, reading, video games, playing the guitar and piano.
Want to book a private lesson with Chris W.?
Message Chris W. at https://www.chegg.com/tutors/online-tutors/Chris-W-576966/?utm_source=youtube&utm_medium=video&utm_content=managed&utm_campaign=videotutorials
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Views: 42913
Chegg

This video explains what the words term, factor, and coefficient mean. Think of an expression as a sentence. A sentence has parts, and so does an algebraic expression.
Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-parts-of-expressions/e/identifying-parts-of-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions/v/writing-expressions-with-variables-examples?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-7th-evaluating-expressions-word-problems/v/evaluating-exponential-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade
Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.)
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
For free. For everyone. Forever. #YouCanLearnAnything
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Khan Academy

Principal component analysis (PCA) is a statistical procedure that uses an orthogonal transformation to convert a set of observations of possibly correlated variables[clarification needed] into a set of values of linearly uncorrelated variables called principal components. If there are {\displaystyle n} n observations with {\displaystyle p} p variables, then the number of distinct principal components is {\displaystyle \min(n-1,p)} {\displaystyle \min(n-1,p)}. This transformation is defined in such a way that the first principal component has the largest possible variance (that is, accounts for as much of the variability in the data as possible), and each succeeding component in turn has the highest variance possible under the constraint that it is orthogonal to the preceding components. The resulting vectors[clarification needed] are an uncorrelated orthogonal basis set. PCA is sensitive to the relative scaling of the original variables.
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To get certificate subscribe at: https://www.coursera.org/learn/pca-machine-learning/
============================
Topic Covered::
Mean values
Mean of a dataset
Variances and covariances
Variance of one-dimensional datasets
Variance of higher-dimensional datasets
Linear transformation of datasets
Effect on the mean
Effect on the (co)variance
Mean/covariance of a dataset + effect of a linear transformation
Dot product
Welcome to module 2
Dot product
Inner products
Inner product: definition
Inner product: length of vectors
Inner product: distances between vectors
Inner product: angles and orthogonality
Inner products and angles
Inner products of functions and random variables (optional)
Projections
LectureWelcome to module 3
LectureProjection onto 1D subspaces
Example: projection onto 1D subspaces
Projections onto higher-dimensional subspaces
Full derivation of the projection
Example: projection onto a 2D subspace
PCA derivation
Problem setting and PCA objective
Multivariate chain rule
Finding the coordinates of the projected data
Reformulation of the objective
Finding the basis vectors that span the principal subspace
PCA algorithm
Steps of PCA
PCA in high dimensions
Principal Components Analysis (PCA)
Other interpretations of PCA (optional)
********************************************************************
About this course: This course introduces the mathematical foundations to derive Principal Component Analysis (PCA),
a fundamental dimensionality reduction technique. We'll cover some basic statistics of data sets, such as mean values
and variances, we'll compute distances and angles between vectors using inner products and derive orthogonal
projections of data onto lower-dimensional subspaces. Using all these tools, we'll then derive PCA as a method
that minimizes the average squared reconstruction error between data points and their reconstruction.
At the end of this course, you'll be familiar with important mathematical concepts and you can implement PCA all by yourself.
If you’re struggling, you'll find a set of jupyter notebooks that will allow you to explore properties of the techniques and walk you
through what you need to do to get on track. If you are already an expert, this course may refresh some of your knowledge.
This examples and exercises require:
1. Some ability of abstract thinking 2. Good background in linear algebra
(e.g., matrix and vector algebra, linear independence, basis)
3. Basic background in multivariate calculus (e.g., partial derivatives, basic optimization)
4. Basic knowledge in python programming and numpy
Who is this class for: This is an intermediate level course.
It is probably good to brush up your linear algebra and python programming before you start this course.
******************************************************************
This course is created by Imperial College London
If you like this video and course explanation feel free to take the
complete course and get certificate from: https://www.coursera.org/specializations/mathematics-machine-learning
This video is provided here for research and educational purposes in the field of Mathematics. No copyright infringement intended. If you are content owner would like to remove this video from YouTube, Please contact me through email: [email protected]
*******************************************************************
Useful Tags:::::
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Views: 5071
Geek's Lesson

The partial products algorithm allows anyone (even students who are "bad" at math) to learn how to multiply 2- and 3-digit numbers! It is also easy to see why it works. You don't have to be a math whiz!
Partial products means that we multiply in part-by-part. For example, 7 x 534 is done as 7 x 500, 7 x 30, and 7 x 4, and lastly those parts are added.
This topic is also explained (along with practice problems) in my book Math Mammoth Multiplication 2 at http://www.mathmammoth.com/multiplication_2.php - available both as an inexpensive download ($5.10) and as a printed copy.

Views: 1314
Math Mammoth

How to estimate to prove an answer is reasonable or not. Estimating and rounding off products to find if information is logical. #16

Views: 991
JoAnn's School

Do you need to speak about or understand mathematics or geometry in English? This lesson teaches you all the terminology you need to translate your mathematics knowledge into English. This video will be especially important for students who are studying in an English-speaking country, and for professionals who need to work with English speakers. I'll also explain the correct sentence structures we use to talk about common mathematical operations in English. For example: "One plus one equals two", "one and one is two", "if you add one and one, you get two", and many more. This lesson covers terminology about: operations (+ - * /), fractions, decimals, exponents, roots, shapes, measurements, angles, triangles, and much more. Don't let English stand in the way of your mathematics!
TAKE THE QUIZ: https://www.engvid.com/math-geometry-vocabulary-english/
TRANSCRIPT
Hi. Welcome to www.engvid.com. I'm Adam. In today's video I'm going to look at some math. Now, I know this is an English site, don't worry, I'm not actually going to do any math. Philosophy and English major, so math not my favourite, but I will give you some math terminology, words that you need if you're going to do math. Now, a lot of you might be engineers or you might be students who came from another country to an English-speaking country, and you go to math class and you know the math, but you're not sure of the wording. Okay? So this is what we're looking at, terminology, only the words that you need to go into a math class or to do some math on your own. Okay?
We're going to start with the very basics. You know all these functions already. I'm just going to give you some ways to talk about them, and then we'll move on to some other functions and other parts. So, you know the four basic functions: "addition", "subtraction", "multiplication", and "division". What you need to know is ways to say an equation. Right? You know an equation. "1 + 1 = 2", that's an equation. "x2 + y3 = znth", that's also an equation which I'm not even going to get into.
So, let's start with addition. The way to talk about addition. You can say: "1 plus 1", "plus", of course is "+" symbol, that's the plus symbol. "1 plus 1 equals 2." 2 means the total, is also called the "sum". Now, you can also say: "The sum of 1 and 1 is 2." You can also just say, without this part: "1 and 1 is 2." So you don't need the plus, you don't need the equal; you can use "and" and "is", but it means the same thing. Everybody will understand you're making... You're doing addition. Sorry. Doing addition, not making. If you add 1 and 1, you get 2. Okay? So: "add" and "get", other words you can use to express the equation. Now, if you're doing math problems, math problems are word problems. I know a lot of you have a hard time understanding the question because of the words, so different ways to look at these functions using different words, different verbs especially.
If we look at subtraction: "10 minus 5 equals 5". "5", the answer is also called the "difference". For addition it's the "sum", for subtraction it's "difference". "10, subtract 5 gives you 5." Or: "10 deduct"-means take away-"5", we can also say: "Take 5 away"... Oh, I forgot a word here. Sorry. "Take 5 away from 10, you get", okay? "10 subtract 5", you can say: "gives you 5", sorry, I had to think about that. Math, not my specialty. So: "Take 5 away from 5, you get 5", "Take 5 away from 5, you're left with", "left with" means what remains. Okay, so again, different ways to say the exact same thing. So if you see different math problems in different language you can understand what they're saying. Okay?
Multiplication. "5 times 5", that's: "5 times 5 equals 25". "25" is the "product", the answer to the multiplication, the product. "5 multiplied by 5", don't forget the "by". "5 multiplied by 5 is 25", "is", "gives you", "gets", etc.
Then we go to division. "9 divided by 3 equals 3", "3", the answer is called the "quotient". This is a "q". I don't have a very pretty "q", but it's a "q". "Quotient". Okay? "3 goes into... 3 goes into 9 three times", so you can reverse the order of the equation. Here, when... In addition, subtraction, multiplication... Well, actually addition and multiplication you can reverse the order and it says the same thing. Here you have to reverse the order: "goes into" as opposed to "divided by", so pay attention to the prepositions as well. Gives you... Sorry. "3 goes into 9 three times", there's your answer. "10 divided by 4", now, sometimes you get an uneven number. So: "10 divided by 4" gives you 2 with a remainder of 2, so: "2 remainder 2". Sometimes it'll be "2R2", you might see it like that. Okay? So these are the basic functions you have to look at. Now we're going to get into a little bit more complicated math things. We're going to look at fractions, exponents, we're going to look at some geometry issues, things like that.

Views: 192206
English Lessons with Adam - Learn English [engVid]

Views: 2703468
mathantics

Join us in this Amazing Multiplication Video that teaches about the Associative Property of Multiplication. Kids will learn about Multiplication and how the product stays the same regardless of the which order.
Kids also learn about Parenthesis with King Parenthesis.
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Our math and learning videos are designed to help with the education of children in this important growing phase. The videos teach math and other subjects that help children in their education. We make videos for toddlers, preschool, kindergarten, 1st grade, 2nd grade, 3rd grade and even a few for 4th grade. It is our goal to help kids achieve their potential by giving them a head start in math and other areas of education.
Mathematics is used in many things in life and helping kids understand properties of multiplication will assist them before they learn algebra.
Maths at work!
Please Subscribe and Share the videos.
You can also join us on
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https://twitter.com/jasoncore4kids

Views: 145114
Math & Learning Videos 4 Kids

A quotient in mathematics is the result of the division of two numbers. Find quotients with help from math teacher in this free video on mathematics.
Expert: Jimmy Chang
Bio: Jimmy Chang has a master's degree in math and has been a math teacher at St. Pete College for more than eight years.
Filmmaker: Christopher Rokosz
Series Description: Mathematics involves many different formulas and terms that may be unfamiliar or difficult. Learn more about math terminology and skills with help from math teacher in this free video series on mathematics.

Views: 158762
eHowEducation

Dan Fleisch briefly explains some vector and tensor concepts from A Student's Guide to Vectors and Tensors

Views: 1374318
Dan Fleisch

Come Play Ping Pong with us as we learn about properties of multiplication. Kids will learn about the commutative property and how in multiplication you can switch the numbers around and still get the same product. This math learning video is great for 3rd grade but can be used any time when learning multiplication and it's properties.
Help us make Mathematics fun for all kids by sharing our math videos. Thank you.
Come Learn With Us!
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Our math and learning videos are designed to help with the education of children in this important growing phase. The videos teach math and other subjects that help children in their education. We make videos for toddlers, preschool, kindergarten, 1st grade, 2nd grade, 3rd grade and even a few for 4th grade. It is our goal to help kids achieve their potential by giving them a head start in math and other areas of education.
Please Subscribe and Share the videos.
You can also join us on
https://www.commoncore4kids.com/
https://www.mathvids4kids.com/
https://www.pinterest.com/commoncore4kids/
https://www.facebook.com/pages/Common-Core-4-Kids/414329405248165
https://twitter.com/jasoncore4kids

Views: 170803
Math & Learning Videos 4 Kids

Get the full course at: http://www.MathTutorDVD.com
In this lesson, you will learn how to multiply numbers by powers of 10. We will learn that multiplying by a power of 10 simply moves the decimal point and allows the student to multiply very rapidly by large numbers.

Views: 139606
mathtutordvd

Sometimes you need to translate English Words into Math Words. Words that mean multiplication include: Times, Multiply, Product

Views: 245
David May

Chain Rule - Pauls Online Math Notes
Chain Rule. We've taken a lot of derivatives over the course of the last few sections. .... the function. Let's take a look at some examples of the Chain Rule.
Calculus III - Chain Rule - Pauls Online Math Notes
We've been using the standard chain rule for functions of one variable ... This is dependent upon the situation, class and instructor however and for this class we ... chain rules that we've discussed in the section or will look at in later examples.
Chain rule definition and example - Khan Academy
oleh Salman Khan - dalam 13,269 kalangan Google+
To understand chain rule think about definition of derivative as rate of ... f(g(x)) (it should be obvious thinking about definition of a function in mathematics).
The Chain Rule - SOS Math
... the derivative. Of course, it is possible to do this, but it won't be much fun. ... Before we discuss the Chain Rule formula, let us give another example. Example.
Chain Rule - UC Davis Mathematics
The chain rule is a rule for differentiating compositions of functions. In the ... For example, it is sometimes easier to think of the functions f and g as ``layers'' of a ...
Product Rule - UC Davis Mathematics
The product rule is a formal rule for differentiating problems where one function is multiplied by another. The rule follows from the limit definition of derivative and ...
Basic derivative examples
You will also find here derivative rules and formulas such as the power rule, product rule, quotient rule, ... Free math classes online : Basic Derivative Examples.
Derivatives Chain Rule, examples and practice problems ...
6 Nov 2013 - Chain rule is an important chapter in math. ... The Chain Rule definition and examples. Within the ... It really helped me during my math classes.
[PDF]
Math Class Notes Example - Chain Rule
In this example, the two composite functions are and . Rewrite as . Notice how the student is explaining the process above. Math Class Notes Example.
Chain rule definition and example - YouTube
6 Mac 2014 - Chain rule definition and example ... Engineering Maths, Physics, Biology, ... University First Digital Classroom For Students and Learner.

Views: 481
math class

Definition of inner product space. Examples. Definitions: orthogonal, norm, vector projection, scalar projection. Pythagorean theorem (in inner product space).

Views: 65
Winston Ou

Profit is the amount of revenue gained in a business activity, exceeding all other expenses and for example, if company has sales cgs it means gross profit minus which. Of an article is greater than the cost price(c. Googleusercontent searchexample sam's bakery received $900 yesterday, but expenses such as wages, food and electricity came to $650. 11 sep 2015 profit and loss problems and solutions by mba crystal ball profit and loss. So the profit was $900 $650 $250. What is profit definition and meaning math dictionarywhat the of loss in mathematics answers. Definitions, formulas, solved problems if larry's overhead is $7. Gmat maths tutorial cost, overhead, selling price, and profit math forum ask drwhat is gross profit? Definition, formula & calculation video definition of by the free dictionarynet example. Percentage profit and percentage loss wizznotes free ask math. 38 per lamp, what is the selling price of what does the overhead mean? . Learn maths definitions of profit and loss. When the selling price (sp) is less than cost (cp) man suffers a loss calculating percentage profit using and define money that made in business, through investing, etc. Definition of profit math is fun. P definition and meaning on easycalculation math dictionary. Profit and loss math only. In consumer arithmetic, a profit is made if the selling price of product greater than this page about and loss. Profit and loss teachers choice software. Example if the selling price of a bag is $235 and cost when we buy thing by paying some money sell it back, then definitely will be in either profit or loss. Divide gross profit if the selling price(s. ), the difference between the selling price and cost price is called profit can be defined as the monetary gain made from a transaction. Maths crunch profit and loss [email protected] Profit investopedia. This profit and loss depends on selling cost the price at which any article is purchased its. The price at which an article is sold its selling. Profit and loss problems solutions. Profit or gain profit is the difference between s. 29 per lamp and he makes a profit of $3. Vary so much that different entities are bound to have levels of expenditure, comparison one with another can little meaning net profit is found on the last line income statement, which why it's often price earnings ratio definition learn how calculate and use p e Definition math fun. But if the income is less than expenses it called a 'loss' profit definition whenever selling price greater cost then. Profit interactive maths series softwaredefinition of profit by merriam webster. In the accounting industry, there is more financial gain from a transaction or period of investment business activity, usually calculated as income in excess costs final value an profit margin, net margin ratio measure profitability. Profit and loss in our daily life, we buy goods from the shopkeepers market which they either math dictionary. Profit investopedia
definition of prof

Views: 305
crazy sparky

Visit my website: http://bit.ly/1zBPlvm
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Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
Today we introduce counting, specifically introducing the Principle of Addition and Product Principle.

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TheTrevTutor