- published: 11 Jan 2015
- views: 1085207
Sum may refer to:
As an acronym, SUM may refer to:
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, and so forth. A notational symbol that represents a number is called a numeral. In addition to their use in counting and measuring, numerals are often used for labels (as with telephone numbers), for ordering (as with serial numbers), and for codes (as with ISBNs). In common usage, the term number may refer to a symbol, a word, or a mathematical abstraction.
In mathematics, the notion of number has been extended over the centuries to include 0, negative numbers, rational numbers such as and , real numbers such as and , complex numbers, which extend the real numbers by including , and sometimes additional objects. Calculations with numbers are done with arithmetical operations, the most familiar being addition, subtraction, multiplication, division, and exponentiation. Their study or usage is called arithmetic. The same term may also refer to number theory, the study of the properties of the natural numbers.
Khan Academy is a non-profit educational organization created in 2006 by educator Salman Khan with the aim of providing a free, world-class education for anyone, anywhere. The organization produces short lectures in the form of YouTube videos. In addition to micro lectures, the organization's website features practice exercises and tools for educators. All resources are available for free to anyone around the world. The main language of the website is English, but the content is also available in other languages.
The founder of the organization, Salman Khan, was born in New Orleans, Louisiana, United States to immigrant parents from Bangladesh and India. After earning three degrees from the Massachusetts Institute of Technology (a BS in mathematics, a BS in electrical engineering and computer science, and an MEng in electrical engineering and computer science), he pursued an MBA from Harvard Business School.
In late 2004, Khan began tutoring his cousin Nadia who needed help with math using Yahoo!'s Doodle notepad.When other relatives and friends sought similar help, he decided that it would be more practical to distribute the tutorials on YouTube. The videos' popularity and the testimonials of appreciative students prompted Khan to quit his job in finance as a hedge fund analyst at Connective Capital Management in 2009, and focus on the tutorials (then released under the moniker "Khan Academy") full-time.
Last Alliance (ラスト・アライアンス, Rasuto Araiansu, stylized as LAST ALLIANCE) is a Japanese rock band based in Machida, Tokyo.
They have performed opening and ending theme songs for various anime series such as Ouran High School Host Club, RD Sennō Chōsashitsu, and Hajime No Ippo: New Challenger. To date, they have released six albums, a mini-album, and 8 singles.
Tears Library (Stylized TEARS LIBRARY) is Last Alliance's first studio album released on July 19, 2003.
Track listing
Channel, channels, and similar terms may refer to:
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww More links & stuff in full description below ↓↓↓ Ed Copeland and Tony Padilla are physicists at the University of Nottingham. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://te...
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help More links & stuff in full description below ↓↓↓ EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse The sum of all natural numbers (from 1 to infinity) produces an "astounding" result. ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk MORE: http://youtu.be/0Oazb7IWzbA NY Times article on this: http://nyti.ms/1iftqSv Tony Padilla and Ed Copeland are physicists at the University of Nottingham. They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4 Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series We also here that Chapter XIII of Konrad Knopp's book, "Theory and ...
Just a quick number trick with Dr James Grime. More links & stuff in full description below ↓↓↓ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan is the subject of the movie "The man who knew infinity" that just started showing in cinemas.) Find out about how these identities come up in Ramanujan's work, the role of "just do it" in math, the rules for adding infinite sums on Earth and other worlds, and what all this has to do with the mathematical super star the Riemann Zeta function. You can download the jpeg of Ramanujan's letter to Hardy that I put together for this video here: http://www.qedcat.com/misc/ramanujans_letter.jpg (quite large) You c...
This is the second half of a lesson, watch the first half here: http://youtu.be/yudhkUUzAgY This is a well-known and hugely controversial result. The "proof" I've demonstrated is not the only way to show it - there are far more sophisticated and convincing ways to do it - but suffice to say that I went through it to raise questions and provoke thought rather than to make a statement about its validity or otherwise! Hope it makes you think.
A little trick to sum Fibonacci numbers. Try it out.
http://ItsMyAcademy.com/arithmetic-sequences/ For Free Complete Video Tutorial on Sequence & Series. For more videos on sequence and series. To Find the sum of odd numbers we have to first make an arithmetic sequence or arithmetic series then we can easily find the sum of odd numbers from sum of n term formula of arithmetic sequence. its is simple . In this video we are dealing with such problems. Here we need to find the sum of odd numbers from 0 to50 using the sum of n term formula of arithmetic sequence. To do so we will first arrange the all odd numbers between 0 to 50 in increasing order then taking 1 as first term and 49 as last term we will make an arithmetic series. By using nth term formula of arithmetic sequence we will get the total number of terms of the sequence and then by ...
Learn to write equation for sum of consecutive numbers. The sum of three consecutive numbers is 225. find the numbers. To learn more such math lessons visit our channel youtube.com/MathsSmart or subscribe to http://www.youtube.com/MathsSmart.
Find The Sum Of 'n' Consecutive Even Numbers. Makes is so much easier to put these numbers together! Now try adding up a sequence of even numbers! Good luck! Our YouTube Channels: English Channel: https://www.youtube.com/user/APPUSERIES Hindi Channel: https://www.youtube.com/user/APPUSERIESHINDI Kannada Channel: https://www.youtube.com/user/APPUSERIESKANNADA Tamil Channel: https://www.youtube.com/user/APPUSERIESTAMIL Telugu Channel: https://www.youtube.com/user/APPUSERIESTELUGU Gujarati Channel: https://www.youtube.com/user/APPUSERIESGUJARATI Marathi Channel: https://www.youtube.com/user/APPUSERIESMARATHI Sindhi Channel: https://www.youtube.com/user/APPUSERIESSINDHI Bengali Channel: https://www.youtube.com/user/APPUSERIESBENGALI Academy Channel: https://www.youtube.com/user/AppuSeriesAcad...
Learn that the sum or the product of two rational numbers is always a rational number. Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/proof-that-rational-times-irrational-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/recognizing-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as...
http://www.freemathvideos.com In this video series I show you how to solve a word problem by first understanding the what the problem is asking. We then assign variables for our unknowns and create equations to represent our problem. We then use solving techniques to find the values of the equation. I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exaclty how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework.I...
Take cubes in an amount equal to the square of an integer. It can be laid out square of them. Take five such squares for the first five natural numbers. Place them on top of each other and stick together. Receive the item, like a ladder. Three of these items can be attached to each other and have a shape similar to a parallelepiped with a protrusion. The other three parts are formed in a similar shape. Combining them, we get a box with no voids. The volume of the parallelepiped, in terms of number of blocks is equal, on the one hand, the product of the number of blocks included in each direction, and on the other hand, the sum of squares of the first five digits, multiplied by six. From this we can deduce the general hypothesis about the sum of the squares of the first n natural numbers. S...
Download workbook: http://people.highline.edu/mgirvin/ExcelIsFun.htm See Mr Excel and excelisfun use two methods to add the numbers from cells that have both numbers and text. See these tricks: 1. LEFT and IF Functions to extract numbers and then add 2. Left function and then the plus symbol to add numbers that are text (because SUM Function ignores text, but plus symbol does not 3. Single cell array formula that uses IF LEFT and SUM 4. Text To Columns and Custom Number Formatting 5. Apply General Number Format with: Ctrl + Shift + Enter
Sum of Consecutive Odd Integers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/integer_sums?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/2003-aime-ii-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/sum-consecutive-integers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shortha...
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww More links & stuff in full description below ↓↓↓ Ed Copeland and Tony Padilla are physicists at the University of Nottingham. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://te...
Read this too: http://www.bradyharanblog.com/blog/2015/1/11/this-blog-probably-wont-help More links & stuff in full description below ↓↓↓ EXTRA ARTICLE BY TONY: http://bit.ly/TonyResponse The sum of all natural numbers (from 1 to infinity) produces an "astounding" result. ANOTHER PROOF & EXTRA FOOTAGE: http://youtu.be/E-d9mgo8FGk MORE: http://youtu.be/0Oazb7IWzbA NY Times article on this: http://nyti.ms/1iftqSv Tony Padilla and Ed Copeland are physicists at the University of Nottingham. They talk physics at our sixty symbols channel: http://www.youtube.com/sixtysymbols Grandi's Series: 1-1+1-1.... http://www.youtube.com/watch?v=PCu_BNNI5x4 Read more about divergent series: http://en.wikipedia.org/wiki/Divergent_series We also here that Chapter XIII of Konrad Knopp's book, "Theory and ...
Just a quick number trick with Dr James Grime. More links & stuff in full description below ↓↓↓ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan is the subject of the movie "The man who knew infinity" that just started showing in cinemas.) Find out about how these identities come up in Ramanujan's work, the role of "just do it" in math, the rules for adding infinite sums on Earth and other worlds, and what all this has to do with the mathematical super star the Riemann Zeta function. You can download the jpeg of Ramanujan's letter to Hardy that I put together for this video here: http://www.qedcat.com/misc/ramanujans_letter.jpg (quite large) You c...
This is the second half of a lesson, watch the first half here: http://youtu.be/yudhkUUzAgY This is a well-known and hugely controversial result. The "proof" I've demonstrated is not the only way to show it - there are far more sophisticated and convincing ways to do it - but suffice to say that I went through it to raise questions and provoke thought rather than to make a statement about its validity or otherwise! Hope it makes you think.
A little trick to sum Fibonacci numbers. Try it out.
http://ItsMyAcademy.com/arithmetic-sequences/ For Free Complete Video Tutorial on Sequence & Series. For more videos on sequence and series. To Find the sum of odd numbers we have to first make an arithmetic sequence or arithmetic series then we can easily find the sum of odd numbers from sum of n term formula of arithmetic sequence. its is simple . In this video we are dealing with such problems. Here we need to find the sum of odd numbers from 0 to50 using the sum of n term formula of arithmetic sequence. To do so we will first arrange the all odd numbers between 0 to 50 in increasing order then taking 1 as first term and 49 as last term we will make an arithmetic series. By using nth term formula of arithmetic sequence we will get the total number of terms of the sequence and then by ...
Learn to write equation for sum of consecutive numbers. The sum of three consecutive numbers is 225. find the numbers. To learn more such math lessons visit our channel youtube.com/MathsSmart or subscribe to http://www.youtube.com/MathsSmart.
Find The Sum Of 'n' Consecutive Even Numbers. Makes is so much easier to put these numbers together! Now try adding up a sequence of even numbers! Good luck! Our YouTube Channels: English Channel: https://www.youtube.com/user/APPUSERIES Hindi Channel: https://www.youtube.com/user/APPUSERIESHINDI Kannada Channel: https://www.youtube.com/user/APPUSERIESKANNADA Tamil Channel: https://www.youtube.com/user/APPUSERIESTAMIL Telugu Channel: https://www.youtube.com/user/APPUSERIESTELUGU Gujarati Channel: https://www.youtube.com/user/APPUSERIESGUJARATI Marathi Channel: https://www.youtube.com/user/APPUSERIESMARATHI Sindhi Channel: https://www.youtube.com/user/APPUSERIESSINDHI Bengali Channel: https://www.youtube.com/user/APPUSERIESBENGALI Academy Channel: https://www.youtube.com/user/AppuSeriesAcad...
MAIN VIDEO IS AT: http://youtu.be/w-I6XTVZXww More links & stuff in full description below ↓↓↓ Ed Copeland and Tony Padilla are physicists at the University of Nottingham. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://te...
The Mathologer sets out to make sense of 1+2+3+ ... = -1/12 and some of those other notorious, crazy-looking infinite sum identities. The starting point for this video is the famous letter that led to the discovery of self-taught mathematical genius Srinivasa Ramanujan in 1913 (Ramanujan is the subject of the movie "The man who knew infinity" that just started showing in cinemas.) Find out about how these identities come up in Ramanujan's work, the role of "just do it" in math, the rules for adding infinite sums on Earth and other worlds, and what all this has to do with the mathematical super star the Riemann Zeta function. You can download the jpeg of Ramanujan's letter to Hardy that I put together for this video here: http://www.qedcat.com/misc/ramanujans_letter.jpg (quite large) You c...
----------------------------------------------------------------------------------------------------- Starting out with Java: From control structures through objects Chapter 4 Programming Challenges -------------------------------------------------------------------------------------------------------------------------------------------------------------------- 1. Sum of numbers Write a program that asks the user for a positive nonzero integer value. The program should use a loop to get the sum of all the integers from 1 up to the number entered. For example, if the user enters 50, the loop will find the sum of 1, 2, 3, 4, . . . 50. Gaddis, Tony (2015-05-29). Starting Out with Java: From Control Structures through Objects (Page 262). Pearson Education. Kindle Edition. ------------------...
my twitter: @tweetsauce my instagram: electricpants Sources and links to learn more below! I’m very grateful to mathematician Hugh Woodin, Professor of Philosophy and Mathematics at Harvard, for taking the time on multiple occasions to discuss this topic with me and help me wrap my (finite) head around it. I’m also grateful to David Eisenbud, the Director of the Mathematical Sciences Research Institute (MSRI) and professor of mathematics at the University of California, Berkeley, for his help and for connecting me with Hugh Woodin. And of course, big thanks to Brady Haran who created the “mile of pi” seen in this video and connected me with all these mathematicians in the first place. His channel, Numberphile, is superb: https://www.youtube.com/user/numberphile BOOKS related to these ...
In this lesson, we learn to do math with Textboxes and some tricks to avoid error messages. **Limited Offer** Learn to Make Excel Do Your Work For You with The Ultimate Excel Programmer Course – Get the Full 9+ Hour Premium Course for 75% off using coupon code: https://www.udemy.com/ultimate-excel-programmer/?couponCode=2016YOUTUBE75 Click Now to Order and get Lifetime Access to Course, Workbooks, Updates and Support! ------------------------ Create Your Own Barcode Lookup System Using Excel VBA. Learn to Make Your Own Barcode Labels the Easy way and have fun with Barcode Scanners to Automate your Workflow! In this project-driven Course, you’ll learn to Build your own Custom Inventory System with Step-By-Step video instructions. This goes in depth into some advanced Userform strategies th...
This Numbers Tutorial covers all the basics of Apple’s spreadsheet software which competes with Microsoft Excel. If you'd like to skip to the various sections here is the time code for each segment: Using Numbers Templates: 00:01:05 Customizing Templates: 00:03:51 Top Menu Items: 00:05:57 Formula Basics: 00:15:53 Formatting Numbers: 00:18:06 Basic Sorting: 00:19:19 Fitting Cells: 00:20:01 Merging Cells: 00:20:54 Resizing Rows & Columns: 00:21:25 Repetitive Data: 00:22:09 Additional Resources: 00:23:29 Links to Websites/Products Mentioned: Additional Numbers Templates: http://iworkcommunity.com Mail Merge Apple Script: http://bit.ly/17IYZ7o Using AppleScript to Mimic Macros: http://youtu.be/2pOuzQwhGL8 Link to Fiverr: http://vnlink.co/SJZbpsb Microsoft Office 2011 for Mac: http://amzn.to/...
Johann Carl Friedrich Gauss (/ɡaʊs/; German: Gauß, pronounced [ɡaʊs] ( listen); Latin: Carolus Fridericus Gauss) (30 April 1777 Braunschweig – 23 February 1855 Göttingen) was a German mathematician who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, astronomy, matrix theory, and optics. Sometimes referred to as the Princeps mathematicorum (Latin, "the foremost of mathematicians") and "greatest mathematician since antiquity", Gauss had an exceptional influence in many fields of mathematics and science and is ranked as one of history's most influential mathematicians. Anecdotes There are several stories of his early genius. According to one, his gifts became very apparen...