- published: 21 Nov 2013
- views: 51784
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, the Fibonacci numbers or Fibonacci sequence are the numbers in the following integer sequence:
or (often, in modern usage):
By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.
In mathematical terms, the sequence F_{n} of Fibonacci numbers is defined by the recurrence relation
with seed values
or
The Fibonacci sequence is named after Italian mathematician Leonardo of Pisa, known as Fibonacci. His 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been described earlier as Virahanka numbers in Indian mathematics. By modern convention, the sequence begins either with F_{0} = 0 or with F_{1} = 1. The sequence described in Liber Abaci began with F_{1} = 1.
Fibonacci numbers are closely related to Lucas numbers in that they form a complementary pair of Lucas sequences and . They are intimately connected with the golden ratio; for example, the closest rational approximations to the ratio are 2/1, 3/2, 5/3, 8/5, ... .
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 ...
Explains how to find the sum of numbers
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 ...
A little trick to sum Fibonacci numbers. Try it out.
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.
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 a description and tutorial about how to use the Apple iWork Numbers Sum function.
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...
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.
This is a response to the Numberphile video that claims 1+2+3+4+... = -1/12. We explain the flaws, and tell you the real meaning of -1/12 in this context. Several methods return this -1/12 result. Obviously no method can add up infinitely many non-zero terms, and so what they do is produce is a limit value. This limit value is merely the limit of the area between the x-axis and the partial sum formula (from x = -1 to 0). Just as -1/12 is supposedly the sum of all natural numbers, the 'sum of the squares of natural numbers' (and indeed any even power) is supposedly zero, and the 'sum of the cubes of the natural numbers' is supposedly equal to or related to 1/120. Again these values are the simply the limit of the area of the respective partial sum expressions between -1 and 0. If we plot...
In this video I go through Karl Gauss's ingenious proof for the formula of a sum of the first n positive and consecutive integers. Gauss derived this when he was only 10 years old!! Download the notes in my video: https://www.dropbox.com/s/u305wrxmt4r1lzl/203%20-%20Proof%20of%20Sum%20of%20n%20positive%20integers.pdf Related Videos: Sigma Notation - A brief Introduction: http://youtu.be/Gew7y73NY30 Types of Numbers: Natural, Integers, Rational, Irrational, and Real Numbers: http://youtu.be/U22Z1q_Ibqg . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: Official Website: https://MES.fm Steemit: https://steemit.com/@mes Gab: https://gab...
In this video I show the proof for determing the formula for the sum of the squares of "n" consecutive integers, i.e. 1^2 + 2^2 + 3^2 +.... + n^2. This is a pretty abstract proof and makes use of the useful "telescoping" or collapsing sum which I illustrate in the video. The formula for the sum of squares comes up very often in calculus so it's a good idea to understand the proof! Download the notes in my video: https://www.dropbox.com/s/rgv3obty1w3p9k2/204%20-%20Proof%20of%20sum%20of%20n%20squares.pdf Related Videos: Sigma Notation - A brief Introduction: http://youtu.be/Gew7y73NY30 Sum of "n" Consecutive Integers - Simple Proof : http://youtu.be/tpkzn2e5mtI Foil Method - Simple Proof and Quick Alternative Method: http://youtu.be/tmj_r94D6wQ Types of Numbers: Natural, Integers, Ration...
----------------------------------------------------------------------------------------------------- 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. ------------------...
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.
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
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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.
The video describes how to easily find out sum of first n even natural numbers within seconds
In this video,. I use the While loop for finding the sum of set of integers. Let me know if you have any questions.
Coursera: http://www.coursera.org/learn/fibonacci Bookboon: http://bookboon.com/en/fibonacci-numbers-and-the-golden-ratio-ebook How to compute the sum over the first n Fibonacci numbers.
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. ------------------...
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...
شرح بعض تطبيقات ال loops ,استخدام loop في جمع الارقام , طريقة سهلة جدا For more lessons and practicing, check the complete course at our website http://codemasry.com/pro/april13 You can practice more on this lesson by doing programming assignment http://codemasry.com/media/pro/april13/files/Assignment%204%20-%20Loops%20I_2.pdf And submit your solutions online! http://codemasry.com/pro/april13/assignments
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...
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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
Classroom Lecture by Sujeet Kumar ( Career Point Academic head @ Jamnagar )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....
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 ...
Annie and Jose have fun with Addition and Subtraction in their new garden. Addition and subtraction are the most basic things of Mathematics. In this basic math video you will learn all the basics of addition and subtraction. Recommended for Grades: K. KidsEduc SUBSCRIBE TO US http://goo.gl/3zf4Z3 To see the more kids movies go to http://www.youtube.com/user/KidsEduc
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/...
دروس تعليمية للاطفال ل تعليم اللغة العربية و تعليم اللغة الانجليزية وتعليم اللغة الفرنسية و الرياضيات ( الحساب ) و تعليم العلوم (). ل مرحلة رياض الأطفال ( الحضانة ) و المرحلة الابتدائية .. وتهدف هذة الدروس الى تنمية مهارات الطفل من خلال الاستماع و التحدث و تعليم النطق الصحيح بالنسبة للغات من خلال تعليم الحروف العربية (الحروف الابجدية - الحروف الهجائية ) و الحروف الانجليزية و تعليم الارقام الانجليزية و الارقام العربية بالصوت والصورة كما تستخدم هذة الدروس فى تعليم الطفل العديد من الوسائل بما يتناسب مع مراحل نمو الطفل وهذة الوسائل تشمل اغاني تعليمية للاطفال و قصص الاطفال ( قصص تعليمية الاطفال ) و تعليم الأطفال الالوان و تعليم الاطفال الرسم وتعليم اعمال يدوية و ابتكارات الاطفال و العاب الاطفال , تعتبر هذة الفيديوهات هى اسهل طريقة لتعليم اللغة العربية و تعليم اللغة الانجليزية وتع...
دروس تعليمية للاطفال ل تعليم اللغة العربية و تعليم اللغة الانجليزية وتعليم اللغة الفرنسية و الرياضيات ( الحساب ) و تعليم العلوم (). ل مرحلة رياض الأطفال ( الحضانة ) و المرحلة الابتدائية .. وتهدف هذة الدروس الى تنمية مهارات الطفل من خلال الاستماع و التحدث و تعليم النطق الصحيح بالنسبة للغات من خلال تعليم الحروف العربية (الحروف الابجدية - الحروف الهجائية ) و الحروف الانجليزية و تعليم الارقام الانجليزية و الارقام العربية بالصوت والصورة كما تستخدم هذة الدروس فى تعليم الطفل العديد من الوسائل بما يتناسب مع مراحل نمو الطفل وهذة الوسائل تشمل اغاني تعليمية للاطفال و قصص الاطفال ( قصص تعليمية الاطفال ) و تعليم الأطفال الالوان و تعليم الاطفال الرسم وتعليم اعمال يدوية و ابتكارات الاطفال و العاب الاطفال , تعتبر هذة الفيديوهات هى اسهل طريقة لتعليم اللغة العربية و تعليم اللغة الانجليزية وتع...
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...
sum of n natural numbers.natural numbers are nothing but counting numbers.
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 ...