- published: 30 Oct 2014
- views: 16614
In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is a ratio of the form
Thus:
Superparticular ratios were written about by Nicomachus in his treatise "Introduction to Arithmetic". Although these numbers have applications in modern pure mathematics, the areas of study that most frequently refer to the superparticular ratios by this name are music theory and the history of mathematics.
As Euler observed, the superparticular numbers (including also the multiply superparticular ratios, numbers formed by adding an integer other than one to a unit fraction) are exactly the rational numbers whose continued fraction terminates after two terms. The numbers whose continued fraction terminates in one term are the integers, while the remaining numbers, with three or more terms in their continued fractions, are superpartient.
The Wallis product
represents the irrational number π in several ways as a product of superparticular ratios and their inverses. It is also possible to convert the Leibniz formula for π into an Euler product of superparticular ratios in which each term has a prime number as its numerator and the nearest multiple of four as its denominator:
[Vietsub] OST One And A Half Summer (Mùa hè năm ấy 2014)
[Thai Sub][HD] One and a Half Summer - EP01
[Thai Sub][HD] One and a Half Summer - EP02
BİR BUÇUK DAKİKADA ÇİKOLATALI KEK - ONE AND A HALF MINUTES CHOCOLATE CAKE
[HD] 140703 One and a Half Summer - BTS and NG Scenes (Nichkhun)
[Thai Sub][HD] One and a Half Summer - EP08
[Thai Sub][HD] One and a Half Summer - EP12
투투 - 일과 이분의 일(Two Two - One and a half) Korean [MV]
[Thai Sub][HD] One and a Half Summer - EP20
[Thai Sub][HD] One and a Half Summer - EP19
Video trên nằm trong tập 26 của bộ phim One And A Half Summer Bài hát mở đầu phim cũng là bài hát mà ban nhạc đã luyện tập từ khi thành lập Tuy chỉ có 27 tập nhưng cũng đủ để cho người xem cảm thấy bộ phim có rất nhiều ý nghĩa....Chỉ còn có niềm tin chúng ta có thể biến những điều "không thể" thành "có thể". Ở cuộc đời mỗi con người được "yêu" là niềm hạnh phúc nhưng "yêu" xuất pháp từ 2 phía mới có được sự ấm áp vĩnh viễn.... Bộ phim là đoạn kết mở nhưng có lẽ người xem ai cũng đoán ra được họ sẽ bên nhau Tình yêu khi ấy Tại sao lại giản đơn tới vậy? Tại sao khi chúng ta còn trẻ Cứ nhất định phải làm tổn thương người mình yêu sâu đậm nhất?
Brought to you by htt://www.welovekhun.com PLEASE DO NOT RE-UPLOAD
Tatlı krizine pratik çözüm. Bir buçuk dakikada çikolatalı kek. Uzun uzun hazırlama ve bulaşık derdi olmadan, hazırlaması yarım dakika pişmesi 1,5 dakika... Tadı inanılmaz, lezzetli mi lezzetli çikolatalı kek. iücretsiz abone olmak için: https://www.youtube.com/figenararat https://www.facebook.com/figenararat https://www.instagram.com/figenararat/ https://twitter.com/figenararat Hukuki Uyarı: Figen Ararat Youtube kanalında yayınlanan tüm görseller ve içerik Figen Ararat'ın yazılı icazeti olmaksızın kopyalanamaz, çoğaltılamaz, iletilemez, işlenemez, hiçbir formatta dağıtılamaz, yayınlanamaz ve sair şekilde kullanılamaz. Haksız kullananlar hakkında yasal işlem yapılacaktır.
James Hurn has written and starred in this One man Hancock sketch for the British Comedy Guide. James Hurn is a talented UK actor and impressionist. James is best known for his part in BBC2 Dead ringers, BBC1 Scoop, BBC1 The Slammer, BBC1 Spoof, BBC1 Mrs Bradley Mysteries and his role as Jacobson in The band of Brothers, directed by Tom Hanks. He has also put his voice talents to work in shows such Channel 4 Sven, The Coach, The cash and his lovers where he took the title role and also Blaired Vision where he provided the voices for many British politicians and George bush. James has done numerous theatre roles, such as The extremely popular London Westend show The 39 Steps. James starred as the voices of David Beckham and Prince William in BBC4 Radio play The bid. James has starred in...
Jetzt neu auf Drecksflix: Die neue Serie: One and a half Zeune - oder: Wie mal wieder durchs Verhaspeln einen Gag entstand... Quanox: https://www.youtube.com/user/QuanoxLP# Zenedas aka Pokemonfreak: https://www.youtube.com/user/MsLong19 Verwendetes Texturenpaket: http://www.chromahills.com/forum/welcome.php Mein WorldofNerds-Profil: https://www.worldofnerds.com/user/Gareo Folgende musikalische Genies zauberten meine Hintergrundmusik: Papafiotmusik /United/Heroplanet: https://www.youtube.com/user/PapafiotMusic Beaterie: https://www.youtube.com/user/Beaterie BausicProductions: https://www.youtube.com/user/BausicProductions Gee: https://www.youtube.com/user/Geemeeofficial KsTBeats: https://www.youtube.com/user/KsTBeats CircleOfAlchemists: https://www.youtube.com/user/CircleOfAlchemists...
I didn't catch the slide and it repeated the head . Ahh well, a longer slide show . I dis a remake called "Juicy Lucy One Time" I hope.The second has shorter individual paintings shots.
moment Kim Kardashian, Taylor Swift, Kanye West Kanye West, New York Total Nonstop Action Wrestling, World Wrestling Entertainment, TNA Bound for Glory Chiefs de Kansas City, Steelers de Pittsburgh Westworld, Home Box Office Vikings du Minnesota, Giants de New York Buccaneers de Tampa Bay, Broncos de Denver Californie, Faille de San Andreas LeBron James, Hillary Clinton, Cavaliers de Cleveland Cowboys de Dallas, 49ers de San Francisco, Dez Bryant Fear the Walking Dead Mexique, Massacre de Tlatelolco Phillies de Philadelphie, Ryan Howard Saints de La Nouvelle-Orléans, Chargers de San Diego Solange Knowles The Walking Dead, Robert Kirkman, Bande dessinée Pueblo, Donald T...
I'm rad I DONT OWN ANY OF THE MUSIC ALL OF IT BELONGS TO MY CHEMICAL ROMANCE
You wouldn't believe that this is for a school project. No copyright intended, just memes
Massive luck one and a half backflip 20 meter achensee tirol
Destiny™ https://store.playstation.com/#!/en-us/tid=CUSA00219_00
Brought to you by www.welovekhun.com PLEASE DO NOT RE-UPLOAD
Hey, everybody, we're going to, Neil's Party,
Got you a drink in the hand one,
One-'s the place to have some fun,
Got you a spliff in the other hand,
Weed's at the top of the rigaband,
Rockin' until the mornin' light,
One-'s the place to feel all right,
I say,
All I want's for all the world to go away,
'Cause lately, things have been crazy,
Who's gonna save me, from myself?
All I know, there's no place like it,
And if you like it,
Then I might suggest you come around again,
And I'm so stoned,
That all the music that surrounds us,
will remind me of the mess that we came from
Then we go and throw it down for the world in
amazement,
And what you think we're doing all this time in the
basement,
Mixin' the reggae, the rock, and the Ska, Punk, and
Dub,
Know that all I want is what I got,
Nothin' else I require,
Nothin' else here that I need,
Where there's smoke don't mean there's fire,
'Cause the smoke here smells like weed And I say,
All I want's for all the world to go away,
As lately, things have been crazy,
Who's gonna save me, from myself?
All I know, there's no place like it,
And if you like it,
Then I might suggest you come around again,
And I'm so stoned,
That all the music that surrounds us,
will remind me of the mess that we came from
The show, we don't stop,
Cause there's nothin' gonna start up on it's own,
Still believin' there there's freedom,
Comin' up out my stereo,
And it's hard to define, but it feels kind of like,
I've lost all sense of time and I can't go home
tonight
(Dub)
All I know, there's no place like it, (All I Know)
And if you like it,
Then I might suggest you come around again,
And I'm so stoned, (I'm so stoned)
The music that surrounds us,
will remind me of the mess that we came from,