- published: 07 Mar 2012
- views: 6028
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Brief description of musical set theory and how it differs from tonal music that uses scales. It covers basic set concepts like integer notation and normal order.
Visit: http://academyofone.org
courses: http://www.academyofone.org/courses
Royalty free music licensed by http://www.stockmusic.net
Royalty free photos licensed by http://www.bigstockphoto.com
Script:
Every day more and more of this world relies on these little digital minds we call electronics. Whether it’s computers, phones, cars or airplanes, we really on these digital devices to complete our everyday tasks. Yet as they become more and more ingrained into this world we understand them less and less. The philosopher Ludwig Wittgenstein famously said, the limits of my language means the limits of my world. Today we are going to remove the limits of your world learn the language of these devices. We are going to learn about Boolean algebra.
Boolean algebra is the mathematics of two. In pre-algebra we learned that in our modern language we use a base ten system to count. We call this base ten system the decimal system. In this system we have ten digits: Zero, one, two, three, four, five, six, seven, eight and nine. These ten digits give us all of the numbers we have in this world. For instance, I can represent how many people are in the world using the decimal system.
While our modern world needs ten digits to represent mathematics, electronic devices don’t. Electronic devices use a base two system called binary for its mathematics. This is for a magnitude of reasons most of them financial. While a base two system isn’t as complex as our system it still serves its purpose fully. Think of a switch. A switch can make a light bulb turn on or turn off. Your phone can either vibrate or not. In electronics there are two values: on or off, one or zero the binary system. Now imagine you have ten switches that control your computer. If one of them on then your computer is on but if one of them is on and the other is on two then your computer is on and running a program. Three of them on then the computer is on, a program is running and the computer is bringing power to the mouse. This simplistic one or zero method has allowed technology to advance as fast as it does and as cheaply as it does. Binary is not only simple, but it’s simple and gets the job done.
Now that you understand Boolean algebra and its purpose in the world you are ready to learn more about this mathematical discipline... later. First we got to get some mathematical background out of the way. Boolean algebra relies heavily on another mathematical discipline set theory. So let’s learn about basic set theory first.
Everything can be categorized. For instance, all the books I have on my bookcase or all the people on earth. In mathematics, these are examples of classes. A class is a collection of objects identified by a common characteristic. When there is a certain object within a class, for example tom sawyer in my bookcase, the object is known as a member of the class. To say an object is a member of a class you say belongs to. An example is tom sawyer belongs to bookcase. The Greek-letter epsilon is used to show membership. If an object isn’t a member of a class we say is not a member of class. For instance, Kim Kardashian not a member of bookshelf. We represent not a member with epsilon with a slash through it. Let’s say we have a class of numbers that are rational. We can write down the individual members of a class with brackets. Let’s say we have a class of negative one, zero and one. I’ll call this class a as denoted by the equal sign. We can say one is a member of class a. Doing so will give us a one meaning it’s true. We can also say zero is not a member of class a. This is a false statement giving us a zero. If the statement of a member is true then you will get a one meaning it’s true. If the statement of a member is false then you get a zero meaning false. A class can have many numbers or it can have just one number. If a class has just one number then it’s called a unit class.
Now I talked about something called set theory a lot in my videos and I’ve used the same symbols for sets and classes. So what’s the difference between a set and a class? Well... this is a little complicated. Let’s use an analogy first. In English you can make a sentence that doesn't make any sense. I swim inside the highway. This is a correct sentence but it doesn’t make sense. This is like a set. It doesn’t need to make sense and be contradictory. This would break mathematics so in order to save it we invented a new object called classes. Not all classes can be sets and not all sets can become classes. The whole theory behind this is advance and is outside of the scope of this course so well save further discussion for it.
Let’s continue on into the journey of set theory. The next symbol is the inclusion. If every member of a class is also a member of another class then we say that class is included in that class. For
- published: 20 May 2015
- views: 494
Set Theory -- Class 7 CBSC and ICSC board. Set Theory Concepts are explained in this lecture.
- published: 01 Aug 2015
- views: 221
Set theory is used to prove that both the major and minor triads are part of set class 3-11 (037) with interval class vector = [001110]. Properties of the interval class vector are explained, such as predicting what notes survive under transposition.
- published: 03 Aug 2015
- views: 320
This is a demo of an online class.You may also join batches. For further query regarding online as well as offline classes contact Mayank ,+91 8802962692 .offline classes is available only at janakpuri and dwarka sector 1 NEW DELHI
- published: 23 Mar 2014
- views: 3234
It is well-known that forcing over a model of material set theory co
rresponds to taking sheaves over a small site (a poset, a complete Boolean algebra, and so on). One phenomenon that occurs is that given a small site, all new subsets created are smaller than a fixed bound depending on the size of the site. There is a more general notion of forcing invented by Easton to create new subsets of arbitrarily large sets, namely class forcing, where one starts with a partially ordered class. The existing theory of class forcing is entirely classical, with no corresponding intuitionist theory as in ordinary forcing.
Our understanding of its relation to topos theory is in its infancy, but it is clear that class forcing is about taking small sheaves on a large site. That these do not automatically form a topos means that the theory has interesting twists and turns. This talk will outline the theory of class forcing from a category/topos point of view, give examples and constructions, and fin ally a list of
open questions – not least being whether an intuitionistic version of Easton’s theorem on the continuum function holds.
- published: 03 Dec 2015
- views: 461
Class (set theory)
In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share. The precise definition of "class" depends on foundational context. In work on Zermelo–Fraenkel set theory, the notion of class is informal, whereas other set theories, such as Von Neumann–Bernays–Gödel set theory, axiomatize the notion of "proper class", e.g., as entities that are not members of another entity.
A class that is not a set (informally in Zermelo–Fraenkel) is called a proper class, and a class that is a set is sometimes called a small class. For instance, the class of all ordinal numbers, and the class of all sets, are proper classes in many formal systems.
Outside set theory, the word "class" is sometimes used synonymously with "set". This usage dates from a historical period where classes and sets were not distinguished as they are in modern set-theoretic terminology. Many discussions of "classes" in the 19th century and earlier are really referring to sets, or perhaps to a more ambiguous concept.
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http://wn.com/Class_(set_theory)
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
Class
Class may refer to:
General
- Course (education)
- Lesson, in education
- Classroom
Media and entertainment
Books
This page contains text from Wikipedia, the Free Encyclopedia -
http://wn.com/Class
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
Set theory
Set theory is the branch of mathematical logic that studies sets, which informally are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used in the definitions of nearly all mathematical objects.
The modern study of set theory was initiated by Georg Cantor and Richard Dedekind in the 1870s. After the discovery of paradoxes in naive set theory, numerous axiom systems were proposed in the early twentieth century, of which the Zermelo–Fraenkel axioms, with the axiom of choice, are the best-known.
Set theory is commonly employed as a foundational system for mathematics, particularly in the form of Zermelo–Fraenkel set theory with the axiom of choice. Beyond its foundational role, set theory is a branch of mathematics in its own right, with an active research community. Contemporary research into set theory includes a diverse collection of topics, ranging from the structure of the real number line to the study of the consistency of large cardinals.
This page contains text from Wikipedia, the Free Encyclopedia -
http://wn.com/Set_theory
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
Set
Set or The Set may refer to:
Mathematics and computer programming
- Set (C++), a set implementation in the C++ Standard Library
Physics
- Set, to make/become solid: see Solidification
Chemistry
Psychology
Technology
This page contains text from Wikipedia, the Free Encyclopedia -
http://wn.com/Set
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
Theory
Theory is a contemplative and rational type of abstract or generalizing thinking, or the results of such thinking. Depending on the context, the results might for example include generalized explanations of how nature works. The word has its roots in ancient Greek, but in modern use it has taken on several different related meanings. A theory is not the same as a hypothesis. A theory provides an explanatory framework for some observation, and from the assumptions of the explanation follows a number of possible hypotheses that can be tested in order to provide support for, or challenge, the theory.
A theory can be normative (or prescriptive), meaning a postulation about what ought to be. It provides "goals, norms, and standards". A theory can be a body of knowledge, which may or may not be associated with particular explanatory models. To theorize is to develop this body of knowledge.
As already in Aristotle's definitions, theory is very often contrasted to "practice" (from Greek praxis, πρᾶξις) a Greek term for "doing", which is opposed to theory because pure theory involves no doing apart from itself. A classical example of the distinction between "theoretical" and "practical" uses the discipline of medicine: medical theory involves trying to understand the causes and nature of health and sickness, while the practical side of medicine is trying to make people healthy. These two things are related but can be independent, because it is possible to research health and sickness without curing specific patients, and it is possible to cure a patient without knowing how the cure worked.
This page contains text from Wikipedia, the Free Encyclopedia -
http://wn.com/Theory
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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6:54Set Theory Introduction
Set Theory IntroductionSet Theory Introduction
Brief description of musical set theory and how it differs from tonal music that uses scales. It covers basic set concepts like integer notation and normal order. -
11:38Class, Membership & Set Theory - Boolean Algebra - 1
Class, Membership & Set Theory - Boolean Algebra - 1Class, Membership & Set Theory - Boolean Algebra - 1
Visit: http://academyofone.org courses: http://www.academyofone.org/courses Royalty free music licensed by http://www.stockmusic.net Royalty free photos licensed by http://www.bigstockphoto.com Script: Every day more and more of this world relies on these little digital minds we call electronics. Whether it’s computers, phones, cars or airplanes, we really on these digital devices to complete our everyday tasks. Yet as they become more and more ingrained into this world we understand them less and less. The philosopher Ludwig Wittgenstein famously said, the limits of my language means the limits of my world. Today we are going to remove the limits of your world learn the language of these devices. We are going to learn about Boolean algebra. Boolean algebra is the mathematics of two. In pre-algebra we learned that in our modern language we use a base ten system to count. We call this base ten system the decimal system. In this system we have ten digits: Zero, one, two, three, four, five, six, seven, eight and nine. These ten digits give us all of the numbers we have in this world. For instance, I can represent how many people are in the world using the decimal system. While our modern world needs ten digits to represent mathematics, electronic devices don’t. Electronic devices use a base two system called binary for its mathematics. This is for a magnitude of reasons most of them financial. While a base two system isn’t as complex as our system it still serves its purpose fully. Think of a switch. A switch can make a light bulb turn on or turn off. Your phone can either vibrate or not. In electronics there are two values: on or off, one or zero the binary system. Now imagine you have ten switches that control your computer. If one of them on then your computer is on but if one of them is on and the other is on two then your computer is on and running a program. Three of them on then the computer is on, a program is running and the computer is bringing power to the mouse. This simplistic one or zero method has allowed technology to advance as fast as it does and as cheaply as it does. Binary is not only simple, but it’s simple and gets the job done. Now that you understand Boolean algebra and its purpose in the world you are ready to learn more about this mathematical discipline... later. First we got to get some mathematical background out of the way. Boolean algebra relies heavily on another mathematical discipline set theory. So let’s learn about basic set theory first. Everything can be categorized. For instance, all the books I have on my bookcase or all the people on earth. In mathematics, these are examples of classes. A class is a collection of objects identified by a common characteristic. When there is a certain object within a class, for example tom sawyer in my bookcase, the object is known as a member of the class. To say an object is a member of a class you say belongs to. An example is tom sawyer belongs to bookcase. The Greek-letter epsilon is used to show membership. If an object isn’t a member of a class we say is not a member of class. For instance, Kim Kardashian not a member of bookshelf. We represent not a member with epsilon with a slash through it. Let’s say we have a class of numbers that are rational. We can write down the individual members of a class with brackets. Let’s say we have a class of negative one, zero and one. I’ll call this class a as denoted by the equal sign. We can say one is a member of class a. Doing so will give us a one meaning it’s true. We can also say zero is not a member of class a. This is a false statement giving us a zero. If the statement of a member is true then you will get a one meaning it’s true. If the statement of a member is false then you get a zero meaning false. A class can have many numbers or it can have just one number. If a class has just one number then it’s called a unit class. Now I talked about something called set theory a lot in my videos and I’ve used the same symbols for sets and classes. So what’s the difference between a set and a class? Well... this is a little complicated. Let’s use an analogy first. In English you can make a sentence that doesn't make any sense. I swim inside the highway. This is a correct sentence but it doesn’t make sense. This is like a set. It doesn’t need to make sense and be contradictory. This would break mathematics so in order to save it we invented a new object called classes. Not all classes can be sets and not all sets can become classes. The whole theory behind this is advance and is outside of the scope of this course so well save further discussion for it. Let’s continue on into the journey of set theory. The next symbol is the inclusion. If every member of a class is also a member of another class then we say that class is included in that class. For -
12:24Set Theory -- Class 7 Concept Part 1
Set Theory -- Class 7 Concept Part 1Set Theory -- Class 7 Concept Part 1
Set Theory -- Class 7 CBSC and ICSC board. Set Theory Concepts are explained in this lecture. -
11:05Set Theory -- Class 7 Concept Part 2
Set Theory -- Class 7 Concept Part 2 -
18:34M2C Lesson 6: Set Theory and Interval Class Vector
M2C Lesson 6: Set Theory and Interval Class VectorM2C Lesson 6: Set Theory and Interval Class Vector
Set theory is used to prove that both the major and minor triads are part of set class 3-11 (037) with interval class vector = [001110]. Properties of the interval class vector are explained, such as predicting what notes survive under transposition. -
23:10Introduction to Set Concepts & Venn Diagrams
Introduction to Set Concepts & Venn DiagramsIntroduction to Set Concepts & Venn Diagrams
-
10:47set theory 1 (BCA 2nd sem ggsipu) by Desi Tutor
set theory 1 (BCA 2nd sem ggsipu) by Desi Tutorset theory 1 (BCA 2nd sem ggsipu) by Desi Tutor
This is a demo of an online class.You may also join batches. For further query regarding online as well as offline classes contact Mayank ,+91 8802962692 .offline classes is available only at janakpuri and dwarka sector 1 NEW DELHI -
7:48Max/MSP Pitch Class Set Theory
Max/MSP Pitch Class Set Theory -
11:28Music Theory: Set Theory, Part 3
Music Theory: Set Theory, Part 3 -
36:18David ROBERTS - Class forcing and topos theory
David ROBERTS - Class forcing and topos theoryDavid ROBERTS - Class forcing and topos theory
It is well-known that forcing over a model of material set theory co rresponds to taking sheaves over a small site (a poset, a complete Boolean algebra, and so on). One phenomenon that occurs is that given a small site, all new subsets created are smaller than a fixed bound depending on the size of the site. There is a more general notion of forcing invented by Easton to create new subsets of arbitrarily large sets, namely class forcing, where one starts with a partially ordered class. The existing theory of class forcing is entirely classical, with no corresponding intuitionist theory as in ordinary forcing. Our understanding of its relation to topos theory is in its infancy, but it is clear that class forcing is about taking small sheaves on a large site. That these do not automatically form a topos means that the theory has interesting twists and turns. This talk will outline the theory of class forcing from a category/topos point of view, give examples and constructions, and fin ally a list of open questions – not least being whether an intuitionistic version of Easton’s theorem on the continuum function holds.
-
Set Theory Introduction
Brief description of musical set theory and how it differs from tonal music that uses scales. It covers basic set concepts like integer notation and normal order. -
Class, Membership & Set Theory - Boolean Algebra - 1
Visit: http://academyofone.org courses: http://www.academyofone.org/courses Royalty free music licensed by http://www.stockmusic.net Royalty free photos licensed by http://www.bigstockphoto.com Script: Every day more and more of this world relies on these little digital minds we call electronics. Whether it’s computers, phones, cars or airplanes, we really on these digital devices to complete our everyday tasks. Yet as they become more and more ingrained into this world we understand them less and less. The philosopher Ludwig Wittgenstein famously said, the limits of my language means the limits of my world. Today we are going to remove the limits of your world learn the language of these devices. We are going to learn about Boolean algebra. Boolean algebra is the mathematics of two... -
Set Theory -- Class 7 Concept Part 1
Set Theory -- Class 7 CBSC and ICSC board. Set Theory Concepts are explained in this lecture. -
-
M2C Lesson 6: Set Theory and Interval Class Vector
Set theory is used to prove that both the major and minor triads are part of set class 3-11 (037) with interval class vector = [001110]. Properties of the interval class vector are explained, such as predicting what notes survive under transposition. -
Introduction to Set Concepts & Venn Diagrams
-
set theory 1 (BCA 2nd sem ggsipu) by Desi Tutor
This is a demo of an online class.You may also join batches. For further query regarding online as well as offline classes contact Mayank ,+91 8802962692 .offline classes is available only at janakpuri and dwarka sector 1 NEW DELHI -
-
-
David ROBERTS - Class forcing and topos theory
It is well-known that forcing over a model of material set theory co rresponds to taking sheaves over a small site (a poset, a complete Boolean algebra, and so on). One phenomenon that occurs is that given a small site, all new subsets created are smaller than a fixed bound depending on the size of the site. There is a more general notion of forcing invented by Easton to create new subsets of arbitrarily large sets, namely class forcing, where one starts with a partially ordered class. The existing theory of class forcing is entirely classical, with no corresponding intuitionist theory as in ordinary forcing. Our understanding of its relation to topos theory is in its infancy, but it is clear that class forcing is about taking small sheaves on a large site. That these do not automatically ...
Set Theory Introduction
- Order: Reorder
- Duration: 6:54
- Updated: 07 Mar 2012
- views: 6028
Brief description of musical set theory and how it differs from tonal music that uses scales. It covers basic set concepts like integer notation and normal ord...
Brief description of musical set theory and how it differs from tonal music that uses scales. It covers basic set concepts like integer notation and normal order.
wn.com/Set Theory Introduction
Brief description of musical set theory and how it differs from tonal music that uses scales. It covers basic set concepts like integer notation and normal order.
- published: 07 Mar 2012
- views: 6028
Class, Membership & Set Theory - Boolean Algebra - 1
- Order: Reorder
- Duration: 11:38
- Updated: 20 May 2015
- views: 494
Visit: http://academyofone.org
courses: http://www.academyofone.org/courses
Royalty free music licensed by http://www.stockmusic.net
Royalty free photos lice...
Visit: http://academyofone.org
courses: http://www.academyofone.org/courses
Royalty free music licensed by http://www.stockmusic.net
Royalty free photos licensed by http://www.bigstockphoto.com
Script:
Every day more and more of this world relies on these little digital minds we call electronics. Whether it’s computers, phones, cars or airplanes, we really on these digital devices to complete our everyday tasks. Yet as they become more and more ingrained into this world we understand them less and less. The philosopher Ludwig Wittgenstein famously said, the limits of my language means the limits of my world. Today we are going to remove the limits of your world learn the language of these devices. We are going to learn about Boolean algebra.
Boolean algebra is the mathematics of two. In pre-algebra we learned that in our modern language we use a base ten system to count. We call this base ten system the decimal system. In this system we have ten digits: Zero, one, two, three, four, five, six, seven, eight and nine. These ten digits give us all of the numbers we have in this world. For instance, I can represent how many people are in the world using the decimal system.
While our modern world needs ten digits to represent mathematics, electronic devices don’t. Electronic devices use a base two system called binary for its mathematics. This is for a magnitude of reasons most of them financial. While a base two system isn’t as complex as our system it still serves its purpose fully. Think of a switch. A switch can make a light bulb turn on or turn off. Your phone can either vibrate or not. In electronics there are two values: on or off, one or zero the binary system. Now imagine you have ten switches that control your computer. If one of them on then your computer is on but if one of them is on and the other is on two then your computer is on and running a program. Three of them on then the computer is on, a program is running and the computer is bringing power to the mouse. This simplistic one or zero method has allowed technology to advance as fast as it does and as cheaply as it does. Binary is not only simple, but it’s simple and gets the job done.
Now that you understand Boolean algebra and its purpose in the world you are ready to learn more about this mathematical discipline... later. First we got to get some mathematical background out of the way. Boolean algebra relies heavily on another mathematical discipline set theory. So let’s learn about basic set theory first.
Everything can be categorized. For instance, all the books I have on my bookcase or all the people on earth. In mathematics, these are examples of classes. A class is a collection of objects identified by a common characteristic. When there is a certain object within a class, for example tom sawyer in my bookcase, the object is known as a member of the class. To say an object is a member of a class you say belongs to. An example is tom sawyer belongs to bookcase. The Greek-letter epsilon is used to show membership. If an object isn’t a member of a class we say is not a member of class. For instance, Kim Kardashian not a member of bookshelf. We represent not a member with epsilon with a slash through it. Let’s say we have a class of numbers that are rational. We can write down the individual members of a class with brackets. Let’s say we have a class of negative one, zero and one. I’ll call this class a as denoted by the equal sign. We can say one is a member of class a. Doing so will give us a one meaning it’s true. We can also say zero is not a member of class a. This is a false statement giving us a zero. If the statement of a member is true then you will get a one meaning it’s true. If the statement of a member is false then you get a zero meaning false. A class can have many numbers or it can have just one number. If a class has just one number then it’s called a unit class.
Now I talked about something called set theory a lot in my videos and I’ve used the same symbols for sets and classes. So what’s the difference between a set and a class? Well... this is a little complicated. Let’s use an analogy first. In English you can make a sentence that doesn't make any sense. I swim inside the highway. This is a correct sentence but it doesn’t make sense. This is like a set. It doesn’t need to make sense and be contradictory. This would break mathematics so in order to save it we invented a new object called classes. Not all classes can be sets and not all sets can become classes. The whole theory behind this is advance and is outside of the scope of this course so well save further discussion for it.
Let’s continue on into the journey of set theory. The next symbol is the inclusion. If every member of a class is also a member of another class then we say that class is included in that class. For
wn.com/Class, Membership Set Theory Boolean Algebra 1
Visit: http://academyofone.org
courses: http://www.academyofone.org/courses
Royalty free music licensed by http://www.stockmusic.net
Royalty free photos licensed by http://www.bigstockphoto.com
Script:
Every day more and more of this world relies on these little digital minds we call electronics. Whether it’s computers, phones, cars or airplanes, we really on these digital devices to complete our everyday tasks. Yet as they become more and more ingrained into this world we understand them less and less. The philosopher Ludwig Wittgenstein famously said, the limits of my language means the limits of my world. Today we are going to remove the limits of your world learn the language of these devices. We are going to learn about Boolean algebra.
Boolean algebra is the mathematics of two. In pre-algebra we learned that in our modern language we use a base ten system to count. We call this base ten system the decimal system. In this system we have ten digits: Zero, one, two, three, four, five, six, seven, eight and nine. These ten digits give us all of the numbers we have in this world. For instance, I can represent how many people are in the world using the decimal system.
While our modern world needs ten digits to represent mathematics, electronic devices don’t. Electronic devices use a base two system called binary for its mathematics. This is for a magnitude of reasons most of them financial. While a base two system isn’t as complex as our system it still serves its purpose fully. Think of a switch. A switch can make a light bulb turn on or turn off. Your phone can either vibrate or not. In electronics there are two values: on or off, one or zero the binary system. Now imagine you have ten switches that control your computer. If one of them on then your computer is on but if one of them is on and the other is on two then your computer is on and running a program. Three of them on then the computer is on, a program is running and the computer is bringing power to the mouse. This simplistic one or zero method has allowed technology to advance as fast as it does and as cheaply as it does. Binary is not only simple, but it’s simple and gets the job done.
Now that you understand Boolean algebra and its purpose in the world you are ready to learn more about this mathematical discipline... later. First we got to get some mathematical background out of the way. Boolean algebra relies heavily on another mathematical discipline set theory. So let’s learn about basic set theory first.
Everything can be categorized. For instance, all the books I have on my bookcase or all the people on earth. In mathematics, these are examples of classes. A class is a collection of objects identified by a common characteristic. When there is a certain object within a class, for example tom sawyer in my bookcase, the object is known as a member of the class. To say an object is a member of a class you say belongs to. An example is tom sawyer belongs to bookcase. The Greek-letter epsilon is used to show membership. If an object isn’t a member of a class we say is not a member of class. For instance, Kim Kardashian not a member of bookshelf. We represent not a member with epsilon with a slash through it. Let’s say we have a class of numbers that are rational. We can write down the individual members of a class with brackets. Let’s say we have a class of negative one, zero and one. I’ll call this class a as denoted by the equal sign. We can say one is a member of class a. Doing so will give us a one meaning it’s true. We can also say zero is not a member of class a. This is a false statement giving us a zero. If the statement of a member is true then you will get a one meaning it’s true. If the statement of a member is false then you get a zero meaning false. A class can have many numbers or it can have just one number. If a class has just one number then it’s called a unit class.
Now I talked about something called set theory a lot in my videos and I’ve used the same symbols for sets and classes. So what’s the difference between a set and a class? Well... this is a little complicated. Let’s use an analogy first. In English you can make a sentence that doesn't make any sense. I swim inside the highway. This is a correct sentence but it doesn’t make sense. This is like a set. It doesn’t need to make sense and be contradictory. This would break mathematics so in order to save it we invented a new object called classes. Not all classes can be sets and not all sets can become classes. The whole theory behind this is advance and is outside of the scope of this course so well save further discussion for it.
Let’s continue on into the journey of set theory. The next symbol is the inclusion. If every member of a class is also a member of another class then we say that class is included in that class. For
- published: 20 May 2015
- views: 494
Set Theory -- Class 7 Concept Part 1
- Order: Reorder
- Duration: 12:24
- Updated: 01 Aug 2015
- views: 221
Set Theory -- Class 7 CBSC and ICSC board. Set Theory Concepts are explained in this lecture.
- published: 01 Aug 2015
- views: 221
Set Theory -- Class 7 Concept Part 2
- Order: Reorder
- Duration: 11:05
- Updated: 03 Aug 2015
- views: 84
M2C Lesson 6: Set Theory and Interval Class Vector
- Order: Reorder
- Duration: 18:34
- Updated: 03 Aug 2015
- views: 320
Set theory is used to prove that both the major and minor triads are part of set class 3-11 (037) with interval class vector = [001110]. Properties of the inte...
Set theory is used to prove that both the major and minor triads are part of set class 3-11 (037) with interval class vector = [001110]. Properties of the interval class vector are explained, such as predicting what notes survive under transposition.
wn.com/M2C Lesson 6 Set Theory And Interval Class Vector
Set theory is used to prove that both the major and minor triads are part of set class 3-11 (037) with interval class vector = [001110]. Properties of the interval class vector are explained, such as predicting what notes survive under transposition.
- published: 03 Aug 2015
- views: 320
Introduction to Set Concepts & Venn Diagrams
- Order: Reorder
- Duration: 23:10
- Updated: 28 Feb 2012
- views: 115838
- published: 28 Feb 2012
- views: 115838
set theory 1 (BCA 2nd sem ggsipu) by Desi Tutor
- Order: Reorder
- Duration: 10:47
- Updated: 23 Mar 2014
- views: 3234
This is a demo of an online class.You may also join batches. For further query regarding online as well as offline classes contact Mayank ,+91 8802962692 .offli...
This is a demo of an online class.You may also join batches. For further query regarding online as well as offline classes contact Mayank ,+91 8802962692 .offline classes is available only at janakpuri and dwarka sector 1 NEW DELHI
wn.com/Set Theory 1 (Bca 2Nd Sem Ggsipu) By Desi Tutor
This is a demo of an online class.You may also join batches. For further query regarding online as well as offline classes contact Mayank ,+91 8802962692 .offline classes is available only at janakpuri and dwarka sector 1 NEW DELHI
- published: 23 Mar 2014
- views: 3234
Max/MSP Pitch Class Set Theory
- Order: Reorder
- Duration: 7:48
- Updated: 25 Jan 2009
- views: 4262
Music Theory: Set Theory, Part 3
- Order: Reorder
- Duration: 11:28
- Updated: 20 Oct 2015
- views: 729
Interval classes and interval-class vectors! With pgs. 177 - 184 in your text.
0:00 Welcome
0:55 From Pitch-Class Intervals to Interval Classes
4:17 Interval-c...
Interval classes and interval-class vectors! With pgs. 177 - 184 in your text.
0:00 Welcome
0:55 From Pitch-Class Intervals to Interval Classes
4:17 Interval-class Vectors
wn.com/Music Theory Set Theory, Part 3
David ROBERTS - Class forcing and topos theory
- Order: Reorder
- Duration: 36:18
- Updated: 03 Dec 2015
- views: 461
It is well-known that forcing over a model of material set theory co
rresponds to taking sheaves over a small site (a poset, a complete Boolean algebra, and so ...
It is well-known that forcing over a model of material set theory co
rresponds to taking sheaves over a small site (a poset, a complete Boolean algebra, and so on). One phenomenon that occurs is that given a small site, all new subsets created are smaller than a fixed bound depending on the size of the site. There is a more general notion of forcing invented by Easton to create new subsets of arbitrarily large sets, namely class forcing, where one starts with a partially ordered class. The existing theory of class forcing is entirely classical, with no corresponding intuitionist theory as in ordinary forcing.
Our understanding of its relation to topos theory is in its infancy, but it is clear that class forcing is about taking small sheaves on a large site. That these do not automatically form a topos means that the theory has interesting twists and turns. This talk will outline the theory of class forcing from a category/topos point of view, give examples and constructions, and fin ally a list of
open questions – not least being whether an intuitionistic version of Easton’s theorem on the continuum function holds.
wn.com/David Roberts Class Forcing And Topos Theory
It is well-known that forcing over a model of material set theory co
rresponds to taking sheaves over a small site (a poset, a complete Boolean algebra, and so on). One phenomenon that occurs is that given a small site, all new subsets created are smaller than a fixed bound depending on the size of the site. There is a more general notion of forcing invented by Easton to create new subsets of arbitrarily large sets, namely class forcing, where one starts with a partially ordered class. The existing theory of class forcing is entirely classical, with no corresponding intuitionist theory as in ordinary forcing.
Our understanding of its relation to topos theory is in its infancy, but it is clear that class forcing is about taking small sheaves on a large site. That these do not automatically form a topos means that the theory has interesting twists and turns. This talk will outline the theory of class forcing from a category/topos point of view, give examples and constructions, and fin ally a list of
open questions – not least being whether an intuitionistic version of Easton’s theorem on the continuum function holds.
- published: 03 Dec 2015
- views: 461
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-
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Set Theory (Part 6): Equivalence Relations and Classes
Please feel free to leave comments/questions on the video and practice problems below! In this video, I set up equivalence relations and the canonical mapping. The idea of equivalence relation will return when we construct higher-level number systems, e.g.integers, from the natural numbers. -
Chapter - 1: Set Theory Lecture - 1: NCERT class 11 Maths Solutions
This video lecture covers Basics Understanding & Concept of sets, elements of Sets, Sets of Natural Numbers, Integers etc. For Complete video Lectures of NCERT Class 11 Chapter - 1 SET Theory please contact us at riseandexcel@gmail.com. These video lectures covers All the basic concepts, Each and Every Solved example, and All exercises of NCERT Class 11 Book. All Lectures by Highly Experienced Faculty Mr. Abhishek Agarwal (B.E. PGDBA, Ex- Scientist ISRO). Please write to us for more details. -
-
Online video tutorials for class 11,12, IITJEE aspirants Set theory Session 9
Session by Alka Maheshwari. Multiple choice questions based on concepts of set theory have been discussed in detail. The session will be helpful for the students appearing for engneering entrance exams or for the students of class 11 or 12 CBSE, ICSE and other boards -
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, CAT. Enjoy the video and do not forget to share. -
Radio Mathematics Project Ep50 Set Theory Part 4 Class 11
Govt. of India Ministry of Science and Technology Department of Science and Technology National Council for Science and Technology Communication Radio Mathematics Project Ep50 Set Theory Part 4 Class 11 Date of Broadcast 7Feb 15 Community Radio Station Alwar Ki Awaz 90.8 MHz
Class 11 XI Maths CBSE Sets Part 1
- Order: Reorder
- Duration: 44:04
- Updated: 19 Apr 2014
- views: 62905
Set Theory - Introduction
- Order: Reorder
- Duration: 29:43
- Updated: 11 Feb 2014
- views: 25688
Set Theory (Part 6): Equivalence Relations and Classes
- Order: Reorder
- Duration: 28:33
- Updated: 26 Apr 2015
- views: 1121
Please feel free to leave comments/questions on the video and practice problems below!
In this video, I set up equivalence relations and the canonical mapping....
Please feel free to leave comments/questions on the video and practice problems below!
In this video, I set up equivalence relations and the canonical mapping. The idea of equivalence relation will return when we construct higher-level number systems, e.g.integers, from the natural numbers.
wn.com/Set Theory (Part 6) Equivalence Relations And Classes
Please feel free to leave comments/questions on the video and practice problems below!
In this video, I set up equivalence relations and the canonical mapping. The idea of equivalence relation will return when we construct higher-level number systems, e.g.integers, from the natural numbers.
- published: 26 Apr 2015
- views: 1121
Chapter - 1: Set Theory Lecture - 1: NCERT class 11 Maths Solutions
- Order: Reorder
- Duration: 29:20
- Updated: 25 Jun 2016
- views: 8
This video lecture covers Basics Understanding & Concept of sets, elements of Sets, Sets of Natural Numbers, Integers etc. For Complete video Lectures of NCERT ...
This video lecture covers Basics Understanding & Concept of sets, elements of Sets, Sets of Natural Numbers, Integers etc. For Complete video Lectures of NCERT Class 11 Chapter - 1 SET Theory please contact us at riseandexcel@gmail.com. These video lectures covers All the basic concepts, Each and Every Solved example, and All exercises of NCERT Class 11 Book. All Lectures by Highly Experienced Faculty Mr. Abhishek Agarwal (B.E. PGDBA, Ex- Scientist ISRO). Please write to us for more details.
wn.com/Chapter 1 Set Theory Lecture 1 Ncert Class 11 Maths Solutions
This video lecture covers Basics Understanding & Concept of sets, elements of Sets, Sets of Natural Numbers, Integers etc. For Complete video Lectures of NCERT Class 11 Chapter - 1 SET Theory please contact us at riseandexcel@gmail.com. These video lectures covers All the basic concepts, Each and Every Solved example, and All exercises of NCERT Class 11 Book. All Lectures by Highly Experienced Faculty Mr. Abhishek Agarwal (B.E. PGDBA, Ex- Scientist ISRO). Please write to us for more details.
- published: 25 Jun 2016
- views: 8
Set Theory -- Class 7 Concept Part 3
- Order: Reorder
- Duration: 24:49
- Updated: 03 Aug 2015
- views: 56
Online video tutorials for class 11,12, IITJEE aspirants Set theory Session 9
- Order: Reorder
- Duration: 24:45
- Updated: 08 Jul 2014
- views: 845
Session by Alka Maheshwari. Multiple choice questions based on concepts of set theory have been discussed in detail. The session will be helpful for the student...
Session by Alka Maheshwari. Multiple choice questions based on concepts of set theory have been discussed in detail. The session will be helpful for the students appearing for engneering entrance exams or for the students of class 11 or 12 CBSE, ICSE and other boards
wn.com/Online Video Tutorials For Class 11,12, Iitjee Aspirants Set Theory Session 9
Session by Alka Maheshwari. Multiple choice questions based on concepts of set theory have been discussed in detail. The session will be helpful for the students appearing for engneering entrance exams or for the students of class 11 or 12 CBSE, ICSE and other boards
- published: 08 Jul 2014
- views: 845
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
- Order: Reorder
- Duration: 33:48
- Updated: 19 Feb 2013
- views: 45140
This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, CAT. Enjoy the video and do not forget to share.
This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, CAT. Enjoy the video and do not forget to share.
wn.com/Set Theory | (Gre Gmat Cat) (Venn Diagrams)
This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, CAT. Enjoy the video and do not forget to share.
- published: 19 Feb 2013
- views: 45140
Radio Mathematics Project Ep50 Set Theory Part 4 Class 11
- Order: Reorder
- Duration: 32:26
- Updated: 29 Dec 2015
- views: 7
Govt. of India
Ministry of Science and Technology
Department of Science and Technology
National Council for Science and Technology Communication
Radio Mathemati...
Govt. of India
Ministry of Science and Technology
Department of Science and Technology
National Council for Science and Technology Communication
Radio Mathematics Project
Ep50 Set Theory Part 4 Class 11
Date of Broadcast 7Feb 15
Community Radio Station
Alwar Ki Awaz 90.8 MHz
wn.com/Radio Mathematics Project Ep50 Set Theory Part 4 Class 11
Govt. of India
Ministry of Science and Technology
Department of Science and Technology
National Council for Science and Technology Communication
Radio Mathematics Project
Ep50 Set Theory Part 4 Class 11
Date of Broadcast 7Feb 15
Community Radio Station
Alwar Ki Awaz 90.8 MHz
- published: 29 Dec 2015
- views: 7
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6:54
Set Theory Introduction
Brief description of musical set theory and how it differs from tonal music that uses scal...
published: 07 Mar 2012
Set Theory Introduction
Set Theory Introduction
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- published: 07 Mar 2012
- views: 6028
11:38
Class, Membership & Set Theory - Boolean Algebra - 1
Visit: http://academyofone.org
courses: http://www.academyofone.org/courses
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published: 20 May 2015
Class, Membership & Set Theory - Boolean Algebra - 1
Class, Membership & Set Theory - Boolean Algebra - 1
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- published: 20 May 2015
- views: 494
12:24
Set Theory -- Class 7 Concept Part 1
Set Theory -- Class 7 CBSC and ICSC board. Set Theory Concepts are explained in this lectu...
published: 01 Aug 2015
Set Theory -- Class 7 Concept Part 1
Set Theory -- Class 7 Concept Part 1
- Report rights infringement
- published: 01 Aug 2015
- views: 221
11:05
Set Theory -- Class 7 Concept Part 2
Set Theory -- Class 7 Concept Part 2
published: 03 Aug 2015
Set Theory -- Class 7 Concept Part 2
Set Theory -- Class 7 Concept Part 2
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- published: 03 Aug 2015
- views: 84
18:34
M2C Lesson 6: Set Theory and Interval Class Vector
Set theory is used to prove that both the major and minor triads are part of set class 3-1...
published: 03 Aug 2015
M2C Lesson 6: Set Theory and Interval Class Vector
M2C Lesson 6: Set Theory and Interval Class Vector
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- published: 03 Aug 2015
- views: 320
23:10
Introduction to Set Concepts & Venn Diagrams
published: 28 Feb 2012
Introduction to Set Concepts & Venn Diagrams
Introduction to Set Concepts & Venn Diagrams
- Report rights infringement
- published: 28 Feb 2012
- views: 115838
10:47
set theory 1 (BCA 2nd sem ggsipu) by Desi Tutor
This is a demo of an online class.You may also join batches. For further query regarding o...
published: 23 Mar 2014
set theory 1 (BCA 2nd sem ggsipu) by Desi Tutor
set theory 1 (BCA 2nd sem ggsipu) by Desi Tutor
- Report rights infringement
- published: 23 Mar 2014
- views: 3234
7:48
Max/MSP Pitch Class Set Theory
http://ameblo.jp/akihikom/entry-10197879840.html
http://akihikomatsumoto.com/maxmsp/
published: 25 Jan 2009
Max/MSP Pitch Class Set Theory
Max/MSP Pitch Class Set Theory
- Report rights infringement
- published: 25 Jan 2009
- views: 4262
11:28
Music Theory: Set Theory, Part 3
Interval classes and interval-class vectors! With pgs. 177 - 184 in your text.
0:00 Welco...
published: 20 Oct 2015
Music Theory: Set Theory, Part 3
Music Theory: Set Theory, Part 3
- Report rights infringement
- published: 20 Oct 2015
- views: 729
36:18
David ROBERTS - Class forcing and topos theory
It is well-known that forcing over a model of material set theory co
rresponds to taking s...
published: 03 Dec 2015
David ROBERTS - Class forcing and topos theory
David ROBERTS - Class forcing and topos theory
- Report rights infringement
- published: 03 Dec 2015
- views: 461
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44:04
Class 11 XI Maths CBSE Sets Part 1
Topic : Sets, definition of set, types of set
Language : Hindi
published: 19 Apr 2014
Class 11 XI Maths CBSE Sets Part 1
Class 11 XI Maths CBSE Sets Part 1
- Report rights infringement
- published: 19 Apr 2014
- views: 62905
29:43
Set Theory - Introduction
Course web page: http://web2.slc.qc.ca/pcamire/
published: 11 Feb 2014
Set Theory - Introduction
Set Theory - Introduction
- Report rights infringement
- published: 11 Feb 2014
- views: 25688
28:33
Set Theory (Part 6): Equivalence Relations and Classes
Please feel free to leave comments/questions on the video and practice problems below!
In...
published: 26 Apr 2015
Set Theory (Part 6): Equivalence Relations and Classes
Set Theory (Part 6): Equivalence Relations and Classes
- Report rights infringement
- published: 26 Apr 2015
- views: 1121
29:20
Chapter - 1: Set Theory Lecture - 1: NCERT class 11 Maths Solutions
This video lecture covers Basics Understanding & Concept of sets, elements of Sets, Sets o...
published: 25 Jun 2016
Chapter - 1: Set Theory Lecture - 1: NCERT class 11 Maths Solutions
Chapter - 1: Set Theory Lecture - 1: NCERT class 11 Maths Solutions
- Report rights infringement
- published: 25 Jun 2016
- views: 8
24:49
Set Theory -- Class 7 Concept Part 3
Set Theory -- Class 7 Concept Part 3
published: 03 Aug 2015
Set Theory -- Class 7 Concept Part 3
Set Theory -- Class 7 Concept Part 3
- Report rights infringement
- published: 03 Aug 2015
- views: 56
24:45
Online video tutorials for class 11,12, IITJEE aspirants Set theory Session 9
Session by Alka Maheshwari. Multiple choice questions based on concepts of set theory have...
published: 08 Jul 2014
Online video tutorials for class 11,12, IITJEE aspirants Set theory Session 9
Online video tutorials for class 11,12, IITJEE aspirants Set theory Session 9
- Report rights infringement
- published: 08 Jul 2014
- views: 845
33:48
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, ...
published: 19 Feb 2013
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
- Report rights infringement
- published: 19 Feb 2013
- views: 45140
32:26
Radio Mathematics Project Ep50 Set Theory Part 4 Class 11
Govt. of India
Ministry of Science and Technology
Department of Science and Technology
Nat...
published: 29 Dec 2015
Radio Mathematics Project Ep50 Set Theory Part 4 Class 11
Radio Mathematics Project Ep50 Set Theory Part 4 Class 11
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- published: 29 Dec 2015
- views: 7
Class 11 XI Maths CBSE Sets Part 1...
Set Theory - Introduction...
Set Theory (Part 6): Equivalence Relations and Cla...
Chapter - 1: Set Theory Lecture - 1: NCERT class 1...
Set Theory -- Class 7 Concept Part 3...
Online video tutorials for class 11,12, IITJEE asp...
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)...
Radio Mathematics Project Ep50 Set Theory Part 4 C...
photo: AP / M. Jameel
Honor Killing: Pakistani Social Media Star Strangled to Death by brother
Edit Voa News 16 Jul 2016
Hundreds of women are murdered in Pakistan for honor every year. On Friday, Pakistani model and social media celebrity Qandeel Balock was killed by one of her brothers, police said. Balock was spending the Ed holiday with her family and had travelled from Karachi to Muzaffarabad village in central Punjab province. She was asleep, police said, when one of her six brothers strangled Baloch to death in the family’s home ... ....
photo: AP / Selahattin Sevi, File
Who is Fethullah Gulen, the man blamed for coup attempt in Turkey?
Edit CNN 16 Jul 2016
(CNN)Was a plan to overthrow Turkey's government really hatched behind a gated compound in a small, leafy Pennsylvania town, or is that merely a smoke screen?. In the throes of a military coup attempt, Turkey's embattled president, Recep Tayyip Erdogan, pointed the finger of blame squarely at his bitter rival. Fethullah Gulen ... It's this division that's destabilizing one of America's most important allies in the Middle East ... Read More ... ....
photo: AP / Ismail Coskun/IHA via AP
What happened in Turkey? Everything we know about military coup attempt to overthrow Erdogan
Edit The Independent 16 Jul 2016
At least 190 people have been killed and more than 1,000 have been wounded in an attempted military coup in Turkey. After a night of chaotic and confusing developments, with tanks appearing on the streets and warplanes circling above the capital Ankara, it appears that President Recep Tayyip Erdogan has regained control – but the situation remains confused and uncertain. Here is what we know so far.. ... ... ... ... ... ... ... ... ... ... ... ... ... .....
photo: AP Photo/Christian Alminana
Nice Terrorist Attack: At Least 77 Dead, Police Kill Suspect
Edit WorldNews.com 15 Jul 2016
Bastille Day revelers were targeted in what is being called a terrorist attack by a truck carrying hand grenades and other weapons drove onto a sidewalk for more than a mile, killing 77 people before police were able to shoot and kill the driver according to The Associated Press. Some outlets have reported the suspect was a local in Nice who was originally from Tunisia ... I saw bodies flying like bowling pins along its route." ... ....
photo: AP / Murat Cetinmuhurdar
Turkish coup attempt largely over, says government
Edit The Irish Times 16 Jul 2016
Turkey’s leaders said they have largely quelled an attempted military coup, after army officers claimed to have seized power in the country on Friday night. The coup appeared to crumble in the early hours of Saturday after crowds answered president Tayyip Erdogan’s earlier call to take to the streets to support him ... Soldiers took control of the airport soon after Mr Erdogan had landed ... VIDEO from #Ankara ... Lawmakers in hiding ... Agencies ... ....
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meditation and mindfulness: tuesday evening class
Edit Skiddle 17 Jul 2016
Our classes are the perfect way to unwind and create some mental space ... tuesday evening class on Tue 19th July 2016. Our classes are the perfect way to unwind and create some mental space....
take a breather: tuesday lunchtime meditation classes
Edit Skiddle 17 Jul 2016
Our classes are the perfect way to unwind and create some mental space ... tuesday lunchtime meditation classes on Tue 19th July 2016. Our classes are the perfect way to unwind and create some ......
take a breather: monday lunchtime meditation classes
Edit Skiddle 17 Jul 2016
Our classes are the perfect way to unwind and create some mental space ... monday lunchtime meditation classes on Mon 18th July 2016. Our classes are the perfect way to unwind and create some ......
unwind your mind: monday afternoon meditation classes
Edit Skiddle 17 Jul 2016
Our classes are the perfect way to unwind and create some mental space ... monday afternoon meditation classes on Mon 18th July 2016. Our classes are the perfect way to unwind and create some ......
Most significant class for success in school: your social class
Edit Atlanta Journal 17 Jul 2016
Rather than race, the study saw social class as a more effective lever for equality of outcomes. A half-century later, Americans seem resistant to using either race or class to diversify their schools ... But research suggests even high quality instruction cannot catch poor children up to middle-class peers....
Hyderabad: Class I kid dies after school fight
Edit Deccan Chronicle 17 Jul 2016
A six-year-old Class I student at Promising Scholars High School at Toli Chowki died on Saturday of injuries he had reportedly suffered in a quarrel with another student, one year older than him, on the school campus on Tuesday....
Fitness classes offer a puncher’s chance against Parkinson’s
Edit Sacramento Bee 17 Jul 2016
Fitness trainer Melissa Tafoya coaches boxers whose traitorous bodies give them a dozen reasons not to show up for class ... All struggle with symptoms of Parkinson’s disease, and just getting to class takes a certain amount of intestinal fortitude ... Although her Rock Steady classes now take up half of her time, Tafoya said, they provide only a third of her income ... ......
Party convention season: The realignment of the working class
Edit Star Tribune 17 Jul 2016
Revolts are against a “new” ruling class created by postindustrial economic facts ... ....
Royals activate closer Wade Davis, option rookie Brooks Pounders to Class AAA
Edit The Miami Herald 17 Jul 2016Cooking Class: Biscuits With Mushroom Gravy and Grilled Green Onions at Whitfield
Edit Pittsburgh Tribune Review 17 Jul 2016
Cooking Class visits the kitchens of area restaurants, whose chefs share their popular recipes. Since its launch in Pittsburgh in 2015, the Ace Hotel — ... ....
Erdington Salsa Classes
Edit Skiddle 17 Jul 2016
Erdington Salsa Classes on Tue 19th July 2016 ... Uksalsafeet are starting brand new absolute beginner classes on this Tuesday so this make a wonderful time and opportunity to start learning salsa in Erdington ... Who knows, you may be the next Strictly Come Dancing Contestant, but you won't find out, until you attend our friendly salsa dance classes. Uksalsafeet classes are suitable for you even if you can’t make it each week....
Anand Kumar's Super 30 to include Class 10 students this year
Edit DNA India 17 Jul 2016
After its huge success, Anand Kumar's Super 30, which helps underprivileged students crack JEE test for entrance into IITs, is set to be expanded this year to include students who have passed class X, in an extension of the existing programme involving class XII pass-outs ... Our ultimate goal is to establish a school from Class 6-12 for students from the economically weaker sections....
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