- published: 14 Apr 2017
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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.
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
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.
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country"). In common language, words used for counting are "cardinal numbers" and words used for ordering are "ordinal numbers".
Some authors begin the natural numbers with 0, corresponding to the non-negative integers 0, 1, 2, 3, …, whereas others start with 1, corresponding to the positive integers 1, 2, 3, …. Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, but in other writings, that term is used instead for the integers (including negative integers).
The natural numbers are the basis from which many other number sets may be built by extension: the integers, by including an additive inverse (-n) for each natural number n (and zero, if it is not there already, as its own additive inverse); the rational numbers, by including a multiplicative inverse (1/n) for each integer number n; the real numbers by including with the rationals the (converging) Cauchy sequences of rationals; the complex numbers, by including with the real numbers the unresolved square root of minus one; and so on. These chains of extensions make the natural numbers canonically embedded (identified) in the other number systems.
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 ...
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.
Download Excel workbook: http://people.highline.edu/mgirvin/excelisfun.htm See how to use the SUMIF and COUNTIF functions to add and count given a certain condition. With this trick you can add only the sales for the salesperson Tina -- or count them! Also, see the super fast keyboard shortcut for naming multiple ranges. Count words text based on a Condition. Count words text based on criteria. SUM Values based on a Condition. SUM Values based on criteria.
Subscribe Now: http://www.youtube.com/subscription_center?add_user=ehoweducation Watch More: http://www.youtube.com/ehoweducation 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.
Matt Parker discusses a problem involving Square Sums. Go deeper with extra footage: https://youtu.be/7_ph5djCCnM More links & stuff in full description below ↓↓↓ More Matt Parker on Numberphile: http://bit.ly/Matt_Videos Matt's projects and other stuff: http://standupmaths.com This problem is discussed in Matt's book: http://amzn.to/2mksdD5 Thanks to Charlie Turner - more from her in Part 2: https://youtu.be/7_ph5djCCnM Parker Square T-Shirts: http://bit.ly/ParkerSquareTshirt Discuss on Brady's subreddit: https://redd.it/7pnbqm Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE W...
Sum of all n digit numbers formed by n non zero digits no repetition allowed
A little trick to sum Fibonacci numbers. Try it out.
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...
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...
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
Can learn how to sum in the excel
In this video learn how to use Solver to find 2 numbers that total to a Value in a given range of numbers. this might be useful in some bookkeeping or accounting problems. sample file http://simpletek.ca/files/excel-2013-files/ Solver Video link https://www.youtube.com/watch?v=oBihW1Xp_GY
Optimization is explained completely in this calculus video. I also provided the links for my other optimization videos as well. Optimization - "minimum fence required" example https://www.youtube.com/watch?v=kV3K4Ppz6fw Optimization - "Maximum volume of box" example https://www.youtube.com/watch?v=no4Ph76kNdM Optimization - "Minimum time to cross river" example https://www.youtube.com/watch?v=7bFSjr9lOhE Optimization - "Maximum profit" business example https://www.youtube.com/watch?v=yIRFON453Cg YouTube Channel: http://Youtube.com/MathMeeting Website: http://MathMeeting.com
The video offers a short tutorial on how to sum cells in Excel when value changes in another column.
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...
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 ...
The two numbers calculated here are 16 and 16. I think we should be more specific, and therefore, the question is extended include two different integers and then the answer should be 15 and 17. Their sum is 32 and product is 255. NOTE: At times it may be important to explain our answer, along with assumptions, even in the test paper. This video is included for your suggestions and views. Thanks!
In this video we will learn how to find two numbers whose sum is 27 and product is 182. Subscribe to our Youtube channel to keep receiving more Math learning videos. On Facebook : http://www.facebook.com/GuruBix Watch more videos on : http://www.gurubix.com
This video demonstrates how to using the Excel's SUM function with a range that covers multiple tabs. The method will work with any function, not just SUM.
Understanding the logic behind the formula develops critical thinking skills. Even the most complex math problems seem simple when solved using logic. This other side of math is rather fascinating.
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...
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...
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Confused 1+2+3+…=-1/12 comments originating from that infamous Numberphile video keep flooding the comment sections of my and other math YouTubers videos. And so I think it’s time to have another serious go at setting the record straight by having a really close look at the bizarre calculation at the center of the Numberphile video, to state clearly what is wrong with it, how to fix it, and how to reconnect it to the genuine math that the Numberphile professors had in mind originally. This is my second attempt at doing this topic justice. This video is partly in response to feedback that I got on my first video. What a lot of you were interested in were more details about the analytic continuation business and the strange Numberphile/Ramanujan calculations. Responding to these requests, ...
This trigonometry video tutorial explains how to use the sum and difference identities / formulas to evaluate sine, cosine, and tangent functions that have angles that are not commonly found in the unit circle. Examples include angles both in degrees and radians.
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 ...
How a certain perspective on what the Riemann zeta function looks like can motivate what it might mean beyond its domain of convergence. One month free audible trial, I recommend "The Art of Learning": https://www.audible.com/3blue1brown Support on patreon, and get early access to future "Essence of" series: https://www.patreon.com/3blue1brown There are posters for this visualization of the zeta function at http://3b1b.co/store Music by Vince Rubinetti: https://soundcloud.com/vincerubinetti/riemann-zeta-function Check out some of Vince's other work here: http://www.vincentrubinetti.com/ For those who want to learn more about complex exponentiation, here are a few resources: - My video on the topic: http://youtu.be/mvmuCPvRoWQ - Mathologer's: https://youtu.be/-dhHrg-KbJ0 - Better Expl...
Number System is one of the very conceptualtopic.NUMBER SYSTEM is a topic which is asked in several government exams like ssc cgl,CHSl,FCI,STate level government exams.so friends watch this video to learn complete concept of NUMBER SYSTEM in a easy and fastest way. NUMBER SYSTEM maths trick for ssc,NUMBER SYSTEM in hindi, NUMBER SYSTEM for ssc cgl,NUMBER SYSTEM tricks,NUMBER SYSTEM maths tricks for ssc cgl SSC CGL NUMBER SYSTEM,shortcut tricks for NUMBER SYSTEM,NUMBER SYSTEM formulas,Complete NUMBER SYSTEM for sc cgl,NUMBER SYSTEM previous year questions Practice questions on NUMBER SYSTEM Join our facebook group here :- https://www.facebook.com/groups/1640870002892219/ Like My Face book page here :- https://www.facebook.com/IG-Tutorials-1829777327275250/ Subcribe us on youtube:- htt...
Starting from addition and subtraction that you already understand, I describe how to simplify, read, and use the shorthand of math. There is a mix of explaining and practicing, moving from two numbers to 5 or 6 numbers.
I PROVIDED MY BEST TO BETTER UNDERSTANDING OF MATHEMATICS WITH A NEW WAY OF LEARNING BY TRICKS AND CONCEPTS. THIS PART COVERS SUMMATION OR ADDITION OF SERIES WHICH IS SUBPART OF NUMBER SYSTEM. THIS IS ALSO FREQUENTLY ASKED IN SSC CGL,SSC CHSL,IBPS PO,CLERK,CDS AND RAILAWAY EXAMS. SO FOR BEST PREPARATION OF MATHS FOR SSC CGL,SSC CHSL,IBPS WATCH COMPLETE LECTURES THAT COVERS VARIETY OF PROBLEMS . THANKS WITH BEST WISHES ER SAURABH SINGH (B.TECH)
AP and GP is a very important topic for all competitive exams like SSC CGL,CHSL,FCI RAILWAYS. In this video I have explained the basics very well I hope it will definitely be helpful in your preparation of AP and GP for SSC CGL,and all competitive exams.In this video I will be taking all the previous year questions asked in SSC CGL pre and mains. Geometry for SSC:- https://www.youtube.com/playlist?list=PLEuKThMQzMlGdbewb-nxMhkuL_b21c5aa Important tricks :- https://www.youtube.com/playlist?list=PLEuKThMQzMlHeuKr36z4-bP_Wj54Oicx3 Maxima and Minima :- https://www.youtube.com/playlist?list=PLEuKThMQzMlE0Tl1AV9siKlCvf99w05Ye Height and Distance :- https://www.youtube.com/playlist?list=PLEuKThMQzMlEdk-z_rKNF-kNTKU80gPpZ SSC CGL tier 2 solved questions:-https://www.youtube.com/playlist?list=PLE...
You may have heard about Chebyshev's inequality (which I'll do or have done in another video), but have you heard about Chebyshev's Sum Inequality? In this video I prove this not-so-known theorem, both its discrete and its continuous version
A story of pi, prime numbers, and complex numbers, and how number theory braids them together. Check out Remix careers: https://www.remix.com/jobs The fact that only primes that are one above a multiple of four can be expressed as the sum of two squares is known as "Fermat's theorem on sums of two squares": https://goo.gl/EdhaN2 Special thanks to the following patrons: http://3b1b.co/leibniz-thanks ------------------ 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: http://3b1b.co/recommended Various s...
C00E02V10 : Chapter 00 - Random, Episode 02, Video No. 10 || ❏ প্রতিযোগিতামূলক পরীক্ষার কথা মাথায় রেখে অঙ্কের বিভিন্ন চ্যাপ্টারের স্বয়ংসম্পূর্ণ উন্নত মানের মডিউল তৈরী করার প্রয়াস নেওয়া হয়েছে | বাজার চলতি একটিও বইতে প্রতিযোগিতায় দরকারী মেথড নিয়ে বিন্দুমাত্র আলোচনা নেই | এদিকে কমপিটিশন অস্বাভাবিক বেড়েছে | সুতরাং, চিরাচরিত মেথডগুলির প্রাসঙ্গিকতা যাচাই করার সময় এসেছে | তাই , এই ভিডিও মডিউলে আমরা সময়োপযোগী টেকনিক নিয়ে বিস্তারিত আলোচনা করব | কনসেপ্ট , বিগত সালের প্রশ্নাবলী, স্বতন্ত্র ও উদ্ভাবনী মেথড - এই তিন ভাগে ভিডিও গুলো তৈরী করা হবে | © Drighanchu Rises (2017) Music Credit : http://topfreeintro.com/
This video lecture is produced by IITian S.Saurabh. He is B.Tech from IIT and MS from USA. Given an array of positive integers containing 2N elements, divide the array into equal halves such that sum of the two halves is the closest ( difference of sum of two halves is minimum). Example A={1,2,3,4,5,6,7,8,9,10} p1 = 1,4,6,7,10 p2 = 2,3,5,8,9 s1= 28 s2=27 |s1-s2| = 1, you can safely assume sum of all elements is in bounds of int This channel is an ultimate guide to prepare for job interviews for software engineers, software test engineers, computer scientists, engineering students specially computer science and IT engineers, Master of computer application (MCA) and Bachelor of Computer Application (BCA) students. The content of this channel will help students prepare for C,C++, Ja...
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 Q...
This Fort Bend Tutoring [fbt] math tutorial covers how write logarithmic expressions in expanded form. Expanding logarithmic expressions as a sum or difference of logarithms is a math concept covered in Algebra 2, College Algebra, and PreCalculus. Feel free to leave a comment, ask questions and donate using the PayPal donation link below. Instruction by Larry "Mr. Whitt" Whittington. Subscribe to Fort Bend Tutoring [fbt] here: https://goo.gl/JuczKk Purchase our Simply Math Workbook #12 for more examples of factoring quadratic trinomials and over 200 practice problems! http://shop.tutormemath.net/product/simply-math-workbook-12 Visit our online store! http://shop.TutorMeMath.net Check out our Fort Bend Tutoring Amazon Affiliate Store for recommendations on products and textbooks to hel...