- published: 21 Nov 2013
- views: 68190
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
In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15 … is an arithmetic progression with common difference of 2.
If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence () is given by:
and in general
A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series.
The behavior of the arithmetic progression depends on the common difference d. If the common difference is:
Computation of the sum 2 + 5 + 8 + 11 + 14. When the sequence is reversed and added to itself term by term, the resulting sequence has a single repeated value in it, equal to the sum of the first and last numbers (2 + 14 = 16). Thus 16 × 5 = 80 is twice the sum.
The infinite series whose terms are the natural numbers 1 + 2 + 3 + 4 + · · · is a divergent series. The nth partial sum of the series is the triangular number
which increases without bound as n goes to infinity. Because the sequence of partial sums fails to converge to a finite limit, the series does not have a sum.
Although the series seems at first sight not to have any meaningful value at all, it can be manipulated to yield a number of mathematically interesting results, some of which have applications in other fields such as complex analysis, quantum field theory, and string theory. Many summation methods are used in mathematics to assign numerical values even to a divergent series. In particular, the methods of zeta function regularization and Ramanujan summation assign the series a value of −1/12, which is expressed by a famous formula:
In a monograph on moonshine theory, Terry Gannon calls this equation "one of the most remarkable formulae in science".
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles. For more such videos visit or Subscribe to my You Tube Channel https://www.youtube.com/MathsSmart For collaborations and business inquiries, please contact via Channel Pages: http://ChannelPages.com/MathsSmart
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 ...
The video describes how to easily find out sum of first n natural numbers within seconds. More videos👇 Simplification 👉https://youtu.be/qKST4migPxo Multiplication tricks 👉https://youtu.be/-emYt7Ve0SM Addition & Substraction Tricks 👉https://youtu.be/MW_UvQ9wD0A BODMAS Rules👉https://youtu.be/0dT0UquNqWo Facebook page 👉https://www.facebook.com/SmartStudyForCareer/
Explains how to find the sum of numbers
It's the final play of the 1787 World Math Championships. The talented 10-year old Gauss faces a challenging question from his math teacher. Will the young student show up his teacher, or does he still have lessons to learn? I wanted to explain how to sum the numbers from 1 to 100 in a fun and creative way. This dramatization is based on a true story. **Thanks To My $10+/mo Patreon Supporters** Kyle Sports sound effects CC BY 3.0 (https://creativecommons.org/licenses/by/3.0/us/) Modified from SoundBible.com http://soundbible.com/1882-Football-Crowd.html (GoGo) http://soundbible.com/1834-End-Of-Game.html (Mike Koenig) http://soundbible.com/1881-Sports-Crowd.html (GoGo) Some Details About The Story Gauss sum 1 to 100 stories (the legends) http://bit-player.org/wp-content/extras/gaussfil...
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.
Microsoft Excel Tutorial 1 of 25. How to total numbers in Excel using the SUM function and autosum feature. How to add separated groups of numbers together. How to use the SUM formula in Excel.
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...
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 ...
Art of Problem Solving's Richard Rusczyk adds the numbers from 1 to 100... the fast way. Visit www.artofproblemsolving.com to learn more.
The video describes how to sum up first n odd numbers in an easy way.
In this video explained about easy way for sum of “ n” consecutive number of natural, even, odd and square of natural, even and odd and also cube of natural, even and odd. This YouTube " Siva Math Tips" channel provided videos regarding easy mathematics calculations, mathematical reasoning, reasoning for competitive exams, math magic tricks, math magic, vedic maths tricks, math for kids, fast calculations in mathematics, This channel very much helpful to all students and elders to improving the creative thinking skills, brain storming, Fast calculation and mental health. Google Plus: https://plus.google.com/+sivaalluri Twitter: https://twitter.com/Sivamaths4u Facebook: https://www.facebook.com/alluri.sivaramakrishna Linked In : https://www.linkedin.com/in/siva-rama-krishna-alluri-10373...
This is a description and tutorial about how to use the Apple iWork Numbers Sum function. To use the SUM function and all functions, just select any cell and click the equal '=' key. Then add the SUM function. So, if you wanted to get the Sum of cell A1 and B1 the function would be =SUM(A1:B1).
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. Sum of Natural number tricks👉https://youtu.be/UTJgdohUegk Sum of Odd numbers tricks👉https://youtu.be/Y_QV_3JXVSI Simplification👉https://youtu.be/s4D0XjPrzVM Follow me on Facebook👉https://www.facebook.com/SmartStudyForCareer/
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Create your personal learning account. Register for FREE at http://www.deltastep.com DeltaStep is a social initiative by graduates of IIM-Ahmedabad, IIM-Bangalore, IIT-Kharagpur, ISI-Kolkata, Columbia University (USA), NTU (Singapore) and other leading institutes. At DeltaStep, we understand that just like every child has a unique face, a unique fingerprint; he has a unique learning ability as well. Hence we have built an intelligent adaptive learning system that delivers a tailor-made learning solution and helps a student to learn at his own pace because when it comes to learning, one size does not fit all. Learn from 1000s of such interesting videos, practice from more than 1,00,000 questions, learn complex concepts through games, take timed tests, get detailed reports & in-depth analy...
Derivation of the formula in a way which is easy to understand. It will also help student to remember the formula easily. This is the foundation for next few videos on Arithmetic progression. This will also help u in solving mental ability problems asked in various competitive exams. This Method of addition is also useful in finding the sum of various Number patterns and Puzzles. Follow me on Facebook👉https://www.facebook.com/SmartStudyForCareer/ Google+👉 https://plus.google.com/111082316974868239587 Twitter👉https://mobile.twitter.com/ss_career
Will the sum of a rational and an irrational number be a rational number? Or will it be an irrational number? Or could it be either? To know more about Rational, Irrational and Real Numbers, please visit https://DontMemorise.com . Don’t Memorise brings learning to life through its captivating FREE educational videos. New videos every week. To stay updated, subscribe to our YouTube channel : http://bit.ly/DontMemoriseYouTube Register on our website to gain access to all videos and quizzes: http://bit.ly/DontMemoriseRegister Subscribe to our Newsletter: http://bit.ly/DontMemoriseNewsLetter Join us on Facebook: http://bit.ly/DontMemoriseFacebook Follow us : http://bit.ly/DontMemoriseBlog
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
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...
----------------------------------------------------------------------------------------------------- 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. ------------------...
This video is contributed by Sandeep Please Like, Comment and Share the Video among your friends and family members. Also, Subscribe if you haven't already! :) For any query or suggestion mail me at my email id:- sandeep2006iiitm@gmail.com Follow me on Facebook:- https://www.facebook.com/Sandeep02aug Like our Facebook page:- https://www.facebook.com/bsiacademy16 Follow us on Twitter:- https://twitter.com/bsiacademy Follow us on Google+:- https://plus.google.com/u/0/111901664357973607756
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...
أ.محمود سعدون _ماث _الصف الثالث الابتدائي_الترم الأول__المنهج المصري _الوحدة الثالثة الدرس الأول - Finding sum of 2 numbers - نوفمبر 2017م. تابع جداول مواعيد الحلقات ع صفحتنا ع فيسبوك https://www.facebook.com/elschoola/ وده فهرس الاسكوله اللي فيه كل المواد بتاعتنا https://goo.gl/8Ex6dc
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...
This video is contributed by Sandeep Please Like, Comment and Share the Video among your friends and family members. Also, Subscribe if you haven't already! :) For any query or suggestion mail me at my email id:- sandeep2006iiitm@gmail.com Follow me on Facebook:- https://www.facebook.com/Sandeep02aug Like our Facebook page:- https://www.facebook.com/bsiacademy16 Follow us on Twitter:- https://twitter.com/bsiacademy Follow us on Google+:- https://plus.google.com/u/0/111901664357973607756
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...
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, ...
In this video I go over the proof of the summation of n positive integers which are raised to the power of 4. The proof although straight forward is very tedious and requires a lot of algebra. Download the notes in my video: https://www.dropbox.com/s/xhoeh1l6xkbqoq1/416%20-%20Sum%20of%20n%20integers%20to%20the%20power%20of%204.pdf Related Videos: Sigma Notation - A brief Introduction: http://youtu.be/Gew7y73NY30 Sum of "n" Consecutive Integers - Simple Proof : http://youtu.be/tpkzn2e5mtI Sum of the squares of "n" Consecutive integers - Simple Proof: http://youtu.be/TeF09H13qyI Sum of the Cubes of "n" Consecutive integers - Simple Proof : http://youtu.be/drguFeiCMZw Foil Method - Simple Proof and Quick Alternative Method: http://youtu.be/tmj_r94D6wQ Types of Numbers: Natural, Integers, R...
Create Sum two NumbersApp using eclipse by Jasbir
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.
Question discussion of Career Point, Bansal/Vibrant Q 1. Sum of all the numbers greater than 10,000 formed by the digits 1,3,5,7,9 no digits being repeated. Q 2. Sum of all the numbers greater than 10,000 formed by 0,2,4,6,8 no digit being repeated. Q 3. Sum of all the distinct 4 digits number contain only the digits 1,2,3,4,5 each at most once is given by. Q 4. No of 7 digits integers with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only is JEE-09 Q 5. No of 7 digits number if sum of their digits is 1)63 2) 62 3)61 4)60 Subscribe, like and Drop your mail id to get a gift in your inbox :) For any online study support or for any kind of study material drop a mail to gyanunplugged@gmail.com Stay tuned and Have a great life.
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This algebra 1 and 2 video provides an overview of arithmetic sequence geometric series. It provides plenty of examples and practice problems that will help you to prepare for your next test or exam in your algebra or pre-calculus course. Here is a list of topics covered in this video: 1. General Formula Sheet For Arithmetic and Geometric Series 2. How To Write The First Four Terms of a Sequence Given The Explicit Formula 3. How To Write The Next Three Terms Given a Recursive Formula / Equation 4. How To Determine if a Sequence is Arithmetic or Geometric 5. How To Find The Common Difference of an Arithmetic Series 6. How To Find The Common Ratio of a Geometric Sequence 7. How To Write a General Formula For an Arithmetic or a Geometric Sequence That Contains Fractions 8. How To ...