Nine



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Biography

9
numbers (digits)
Cardinal	9 nine
Ordinal	9th ninth
Numeral system	nonary
Factorization	$3^2 Divisor s 1, 3, 9 Amharic Roman numeral IX Roman numeral (Unicode) ?, ? prefix es ennea- (from Greek language Wiktionary:nona-\|nona- (from Latin ) Binary 1001 Octal 11 Duodecimal 9 Hexadecimal 9 Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?$ ? (formal writing)
Divisor s 1, 3, 9 Amharic Roman numeral IX Roman numeral (Unicode) ?, ? prefix es ennea- (from Greek language Wiktionary:nona-\|nona- (from Latin ) Binary 1001 Octal 11 Duodecimal 9 Hexadecimal 9 Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?
Amharic Roman numeral IX Roman numeral (Unicode) ?, ? prefix es ennea- (from Greek language Wiktionary:nona-\|nona- (from Latin ) Binary 1001 Octal 11 Duodecimal 9 Hexadecimal 9 Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?
Roman numeral IX Roman numeral (Unicode) ?, ? prefix es ennea- (from Greek language Wiktionary:nona-\|nona- (from Latin ) Binary 1001 Octal 11 Duodecimal 9 Hexadecimal 9 Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?
Roman numeral (Unicode) ?, ? prefix es ennea- (from Greek language Wiktionary:nona-\|nona- (from Latin ) Binary 1001 Octal 11 Duodecimal 9 Hexadecimal 9 Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?
prefix es ennea- (from Greek language Wiktionary:nona-\|nona- (from Latin ) Binary 1001 Octal 11 Duodecimal 9 Hexadecimal 9 Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?
Binary 1001 Octal 11 Duodecimal 9 Hexadecimal 9 Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?
Octal 11 Duodecimal 9 Hexadecimal 9 Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?
Duodecimal 9 Hexadecimal 9 Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?
Hexadecimal 9 Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?
Arabic-Indic numeral Armenian numeral Bengali Chinese/ Japanese numeral ?
Armenian numeral Bengali Chinese/ Japanese numeral ?
Bengali Chinese/ Japanese numeral ?
Chinese/ Japanese numeral ?
Devanagari
Greek numeral	?´
Hebrew numeral	? (Tet)
Tamil numeral
Khmer
Telugu numeral
Thai numerals>Thai numeral

9 ( nine ) is the natural number following 8 (number)|8 and preceding 10 (number)|10 . The ordinal adjective is ninth .

Alphabets and codes

In the NATO phonetic alphabet , the digit 9 is called " Novenine ".

Five-digit produce Price Look-Up code|PLU codes that begin with 9 are Organic food|organic .

Companies

9Lives|Nine Lives cat food; its name is derived from the legend that a cat has nine lives

Nine Network a.k.a. Channel 9, an Australian free-to-air television station

Nine West , a clothing brand Nine West http://www.ninewest.com/

Culture and mythology

Chinese culture

Nine (? pinyin jiu) is considered a good Numbers in Chinese culture|number in Chinese culture because it sounds the same as the word "longlasting" ( ? pinyin jiu).

Nine is strongly associated with the Chinese dragon , a symbol of magic and power. There are nine forms of the dragon, it is described in terms of nine attributes, and it has nine children. It has 117 scales - 81 yin and yang|yang (masculine, heavenly) and 36 yin and yang|yin (feminine, earthly). All three numbers are multiples of 9 (9x13=117, 9x9=81, 9x4=36) as well adding up individually to 9 (1+1+7=9, 8+1=9, 3+6=9).

The dragon often symbolizes the Emperor of China|Emperor , and the number nine can be found in many ornaments in the Forbidden City .

The circular altar platform ( Earthly Mount ) of the Temple of Heaven has one circular marble plate in the center, surrounded by a ring of nine plates, then by a ring of 18 plates, and so on, for a total of nine rings, with the outermost having 81=9& times;9 plates.

The name of the area called Kowloon in Hong Kong literally means: nine Chinese dragon|dragons .

The nine-rank system was a civil service nomination system used during certain Chinese dynasties.

Ancient Egypt

The nine bows is a term used in Ancient Egypt to represent the traditional enemies of Egypt

European culture

The Nine Worthies are nine historical, or semi-legendary figures who, in the Middle Ages, were believed to personify the ideals of chivalry

Greek Mythology

The nine muses in Greek mythology are Calliope (epic poetry), Clio (history), Erato (erotic poetry), Euterpe (lyric poetry), Melpomene (tragedy), Polyhymnia (song), Terpsichore (dance), Thalia (comedy), and Urania (astronomy).

Japanese culture

The Japanese consider 9 to be unlucky because it sounds similar to the Japanese word for "pain" or "distress" ( ? Kunrei-shiki|kunrei ku).

The character Cirno from the Touhou Project|Touhou series is often called "nine," "?," "circle-nine," or "nineball," because in the game manual for "Phantasmagoria of Flower View," she was labeled .Cirno - TouhouWiki http://en.touhouwiki.net/wiki/Cirno#Other_Information

Evolution of the glyph

According to Georges Ifrah, the origin of the 9 integers can be attributed to the ancient Indian civilization, and was adopted by subsequent civilizations in conjunction with the 0 (number)|0 .

In the beginning, various Indians wrote 9 similar to the modern closing question mark without the bottom dot. The Kshtrapa, Andhra and Gupta started curving the bottom vertical line coming up with a 3 (number)|3 -look-alike. The Nagari continued the bottom stroke to make a circle and enclose the 3-look-alike, in much the same way that the @ character encircles a lowercase a . As time went on, the enclosing circle became bigger and its line continued beyond the circle downwards, as the 3-look-alike became smaller. Soon, all that was left of the 3-look-alike was a squiggle. The Arabs simply connected that squiggle to the downward stroke at the middle and subsequent European change was purely cosmetic.

This numeral resembles an inverted 6 evolved from the letter "8". To disambiguate the two on objects and documents that can be inverted, the 9 is often underlined, as is done for the 6. Another distinction from the 6 is that it is often handwritten with a straight stem.

Games

9: The Last Resort is a 1995 computer game

In the game of craps , 9 is known as the center field because it is in the middle of the seven numbers on the field bet

Magic: The Gathering has a set of nine rare cards, widely regarded as overpowered, known as the Power Nine

Nine Mens Morris (Nine Men’s Morris) is a European board game known since Roman times.

Idioms and popular phrases

"A cat-o'-nine-tails suggests perfect punishment and atonement." -- Robert Ripley .

The word "K-9" pronounces the same as canine and is used in many United States|U.S. police departments to denote the police dog unit. Despite not sounding like the translation of the word canine in other languages, many police and military units around the world use the same designation.

Someone dressed "to the nines" is dressed up as much as they can be.

In urban culture , "nine" is a slang word for a 9mm pistol or homicide , the latter from the Illinois Criminal Code for homicide.

Internet

The 9 on Yahoo! , hosted by Maria Sansone , was a daily video compilation show, or vlog, on Yahoo& #33; featuring the nine top "web finds" of the day.

Literature

There are Divine Comedy#The Circles of Hell|nine circles of Hell in Dante's Divine Comedy .

The Nine Bright Shiners , characters in Garth Nix's Old Kingdom trilogy . The Nine Bright Shiners was a 1930s book of poems by Anne Ridler and a 1988 fiction book by Anthea Fraser; the name derives from "a very curious old semi-pagan, semi-Christian" song.

The Nine Tailors is a 1934 mystery novel by United Kingdom|British writer Dorothy L. Sayers , her ninth featuring sleuth Lord Peter Wimsey

Nine Unknown Men are, in occult legend, the custodians of the sciences of the world since ancient times

In J.R.R. Tolkien's Middle-earth , there are nine rings of power given to men, and consequently, nine ringwraiths

*Additionally, The Fellowship of the Ring consists of nine companions, representing the free races

Mathematics

Nine is a composite number , its proper divisor s being 1 (number)|1 and 3 (number)|3 . It is 3 times 3 and hence the third square number . Nine is a Motzkin number . It is the first composite lucky number , along with the first composite odd number.

Nine is the highest single-digit number in the decimal|decimal system . It is the second non-unitary square prime number|prime of the form (p²) and the first that is odd. All subsequent squares of this form are odd. It has a unique aliquot sum 4 (number)|4 which is itself a square prime. Nine is; and can be, the only square prime with an aliquot sum of the same form. The aliquot sequence of nine has 5 members (9,4,3,1,0) this number being the second composite member of the 3-aliquot tree. It is the aliquot sum of only one number the discrete semiprime 15 .

There are nine Heegner number s.Bryan Bunch, The Kingdom of Infinite Number . New York: W. H. Freeman & Company (2000): 93

Since 9& nbsp;=& nbsp;3^2¹, 9 is an exponential factorial .

8 and 9 form a Ruth-Aaron pair under the second definition that counts repeated prime factors as often as they occur.

In bases 12, 18 and 24, nine is a 1- automorphic number and in base 6 a 2-automorphic number (displayed as '13').

A polygon with nine sides is called a nonagon or enneagon.Robert Dixon, Mathographics . New York: Courier Dover Publications: 24 A group of nine of anything is called an ennead.

In decimal|base 10 a number is evenly divisible by nine if and only if its digital root is 9. Martin Gardner , ''A Gardner's Workout: Training the Mind and Entertaining the Spirit . New York: A. K. Peters (2001): 155 That is, if you multiply nine by any natural number , and repeatedly add the digits of the answer until it is just one digit, you will end up with nine:

2 × 9 = 18 (1 + 8 = 9)

3 × 9 = 27 (2 + 7 = 9)

9 × 9 = 81 (8 + 1 = 9)

121 × 9 = 1089 (1 + 0 + 8 + 9 = 18; 1 + 8 = 9)

234 × 9 = 2106 (2 + 1 + 0 + 6 = 9)

578329 × 9 = 5204961 (5 + 2 + 0 + 4 + 9 + 6 + 1 = 27; 2 + 7 = 9)

482729235601 × 9 = 4344563120409 (4 + 3 + 4 + 4 + 5 + 6 + 3 + 1 + 2 + 0 + 4 + 0 + 9 = 45; 4 + 5 = 9)

There are other interesting patterns involving multiples of nine:

12345679 x 9 = 111111111

12345679 x 18 = 222222222

12345679 x 81 = 999999999

This works for all the multiples of 9.
n & nbsp;=& nbsp; 3 (number)|3 is the only other n > 1 such that a number is divisible by n if and only if its digital root is n . In positional notation|base N , the divisor s of N& nbsp;-& nbsp;1 have this property. Another consequence of 9 being 10& nbsp;-& nbsp;1, is that it is also a Kaprekar number .

The difference between a base-10 positive integer and the sum of its digits is a whole multiple of nine. Examples:

The sum of the digits of 41 is 5, and 41-5 = 36. The digital root of 36 is 3+6 = 9, which, as explained above, demonstrates that it is evenly divisible by nine.

The sum of the digits of 35967930 is 3+5+9+6+7+9+3+0 = 42, and 35967930-42 = 35967888. The digital root of 35967888 is 3+5+9+6+7+8+8+8 = 54, 5+4 = 9.

Subtracting two base-10 positive integers that are transpositions of each other yields a number that is a whole multiple of nine. Examples:

41 - 14 = 27 (2 + 7 = 9)

36957930 - 35967930 = 990000, a multiple of nine.

This works regardless of the number of digits that are transposed. For example, the largest transposition of 35967930 is 99765330 (all digits in descending order) and its smallest transposition is 03356799 (all digits in ascending order); subtracting pairs of these numbers produces:

99765330 - 35967930 = 63797400; 6+3+7+9+7+4+0+0 = 36; 3+6 = 9.

99765330 - 03356799 = 96408531; 9+6+4+0+8+5+3+1 = 36; 3+6 = 9.

35967930 - 03356799 = 32611131; 3+2+6+1+1+1+3+1 = 18; 1+8 = 9.

Casting out nines is a quick way of testing the calculations of sums, differences, products, and quotients of integers, known as long ago as the 12th Century. Cajori, Florian (1991, 5e) A History of Mathematics , AMS. ISBN 0-8218-2102-4. p.91

Every prime in a Cunningham chain of the first kind with a length of 4 or greater is congruent to 9 mod 10 (the only exception being the chain 2, 5, 11, 23, 47).

Six recurring nines appear in the decimal places 762 through 767 of pi . This is known as the Feynman point .

If an odd perfect number is of the form 36 k + 9, it has at least nine distinct prime factors.Eyob Delele Yirdaw, "" ArXiv preprint.

Nine is the binary complement of number 6 (number)|six :


9 = 1001
6 = 0110

List of basic calculations

Multiplication	1	2	3	4	5	6	7	8	9	10		11	12	13	14	15	16	17	18	19	20		21	22	23	24	25		50	100	1000
$9 \times x 9182736455463728190991081171261351441531621711801891982072162254509009000$

Division	1	2	3	4	5	6	7	8	9	10		11	12	13	14	15
$9 \div x 9 4 . 5 (number) 3 2 . 25 (number) 6 1.5 1.\overline{285714} 125 1 0 .9 0.\overline{81} 75 0.\overline{692307} 0.6\overline{428571} 0.6 x \div 9 0.\overline{1} 0.\overline{2} 0.\overline{3} 0.\overline{4} 0.\overline{5} 0.\overline{6} 0.\overline{7} 0.\overline{8} 1 1.\overline{1} 1.\overline{2} 1.\overline{3} 1.\overline{4} 1.\overline{5}$
$x \div 9 0.\overline{1} 0.\overline{2} 0.\overline{3} 0.\overline{4} 0.\overline{5} 0.\overline{6} 0.\overline{7} 0.\overline{8} 1 1.\overline{1} 1.\overline{2} 1.\overline{3} 1.\overline{4} 1.\overline{5} 1.\overline{6}$

Exponentiation	1	2	3	4	5	6	7	8	9	10		11	12	13
$9 ^ x\, 9 81 729 6561 59049 531441 4782969 43046721 387420489 3486784401 31381059609 282429536481 2541865828329 x ^ 9\, 1512196832621441953125100776964035360713421772838742048910000000002357947691515978035210604499373$
$x ^ 9\, 1512196832621441953125100776964035360713421772838742048910000000002357947691515978035210604499373$

Radix	1	5	10	15	20	25	30	40	50	60	70	80
Radix	110	120	130	140	150	200	250	500	1000	10000	100000	1000000
$x_{9} \ 1 5 11_{9} \ 16_{9} \ 22_{9} \ 27_{9} \ 33_{9} \ 44_{9} \ 55_{9} \ 66_{9} \ 77_{9} \ 88_{9} \ 110_{9} \ 121_{9} \ 132_{9} \ 143_{9} \ 154_{9} \ 165_{9} \ 176_{9} \ 242_{9} \ 307_{9} \ 615_{9} \ 1331_{9} \ 14641_{9} \ 162151_{9} \$
	$132_{9} \ 143_{9} \ 154_{9} \ 165_{9} \ 176_{9} \ 242_{9} \ 307_{9} \ 615_{9} \ 1331_{9} \ 14641_{9} \ 162151_{9} \ 1783661_{9} \$

Numeral systems

Base !! Numeral system
2
3
4
5
6
7
8
9
over 9 ( decimal , hexadecimal )

Probability

In probability , the nine is a logarithmic measure of probability of an event, defined as the negative of the base- 10 (number)|10 logarithm of the probability of the event's Probability axioms|complement .
For example, an event that is 99% likely to occur has an unlikelihood of 1% or 0.01, which amounts to -log₁₀& nbsp;0.01& nbsp;=& nbsp;2 nines of probability.
0 (number)|Zero probability gives zero nines (-log₁₀& nbsp;1& nbsp;=& nbsp;0). A 100% probability is considered to be impossible in most circumstances: that results in infinite improbability . The effectivity of processes and the availability of systems can be expressed (as a rule of thumb, not explicitly) as a series of "nines". For example, 5 nines|"five nines" (99.999%) availability implies a total downtime of no more than five minutes per year - typically a very high degree of :wikt:reliability|reliability ; but never 100%.

Organizations

Divine Nine—The National Pan-Hellenic Council (NPHC) is a collaborative organization of nine historically African American, international Greek lettered fraternities and sororities.

Places and thoroughfares

U.S. Route 9 , from New York to Delaware .

Ninth Avenue (disambiguation)|Ninth Avenue is a major avenue in Manhattan.

Religion and philosophy

Nine, as the highest single-digit number (in decimal|base ten ), symbolizes completeness in the Bahá'í Faith . In addition, the word Bahá' in the Abjad numerals|Abjad notation has a value of 9, and a 9-pointed star is used to Bahá'í symbols|symbolize the religion.

The number 9 is revered in Hinduism and considered a complete, perfected and divine number because it represents the end of a cycle in the decimal system, which originated from the Indian subcontinent as early as 30th century BC|3000 BC.

Important Buddhist rituals usually involve nine monks.

The first nine days of the Hebrew calendar|Hebrew month of Av (month)|Av are collectively known as "The Nine Days" ( Tisha HaYamim ), and are a period of semi-mourning leading up to Tisha B'Av , the ninth day of Av on which both Temple in Jerusalem|Temples in Jerusalem were destroyed.

Nine is a significant number in Norse Mythology . Odin hung himself on an ash tree for nine days to learn the runes.

The Fourth Way Enneagram is one system of knowledge which shows the correspondence between the 9 integers and the circle.

In the Christian angelic hierarchy there are 9 choirs of angels.

Ramadan (calendar month)|Ramadan , the month of fasting and prayer, is the ninth month of the Islamic calendar .

Science

Astronomy

Before 2006 (when Pluto was Pluto#2006: IAU classification|officially designated as a non-planet ), there were nine planet s in the solar system .

Messier object Messier 9|M9 is a magnitude 9.0 globular cluster in the constellation Ophiuchus .

The New General Catalogue NGC 9 , a spiral galaxy in the constellation Pegasus (constellation)|Pegasus

The Saros of the lunar eclipse series which began on -2501 June 26 and ended on -1149 September 16 . The duration of Saros series 9 was 1352.2 years, and it contained 76 lunar eclipses.

The Saros cycle|Saros of the solar eclipse series which began on -2568 February 6 and ended on -1252 April 4 . The duration of Saros series 9 was 1316.2 years, and it contained 74 solar eclipses.

Chemistry

The purity of chemicals (see Nine (purity) )

Nine is the atomic number of fluorine .

Physiology

A human pregnancy normally lasts nine months, the basis of the Naegele's rule .

Sports

Auto racing

A car in the Sprint Cup Series currently owned by Richard Petty Motorsports . The number was most notably borne by the car that Bill Elliott drove to the Cup Series title in 1988 NASCAR Winston Cup Series|1988 with Melling Racing . Evernham Motorsports, the predecessor team to Richard Petty Motorsports, acquired the number in 2001 NASCAR Winston Cup Series|2001 when Elliott joined that team after a brief stint Bill Elliott Racing|as a driver-owner . Elliott used this number again through the 2003 NASCAR Winston Cup Series|2003 season . Kasey Kahne has driven the 9 car since 2004 NASCAR Nextel Cup Series|2004 .

Baseball

In baseball , nine represents the right fielder 's position.

The number of Innings#Baseball|innings in a regulation, non-tied game of baseball.

The number of players on the field including the pitcher.

The San Francisco 49ers are sometimes referred to as the "niners".

The number worn by Roy Hobbs in the movie The Natural .

The number worn, most famously as many believe, by Ted Williams of the Boston Red Sox. http://en.wikipedia.org/wiki/Ted_Williams

Billiards

Nine-ball is the standard professional pocket billiards variant played in the United States.

Rugby

In rugby league , the number generally worn by the Hooker (rugby league)|hooker .

In rugby union , the number generally worn by the Scrum-half (rugby union)|scrum-half .

Soccer

In association soccer|football (soccer) the centre-forward/striker traditionally (since at least the fifties) wears the number 9 shirt or generally the team's best striker.

All sports

The jersey number 9 has been retired by several Major professional sports leagues in the United States and Canada|North American sports teams in honor of past playing greats (or in one case, an owner):

In Major League Baseball :

* The Boston Red Sox , for National Baseball Hall of Fame and Museum|Hall of Famer Ted Williams .

* The Chicago White Sox , for Minnie Miñoso .

* The New York Yankees , for Roger Maris .

* The Oakland Athletics , for Hall of Famer Reggie Jackson .

* The Pittsburgh Pirates , for Hall of Famer Bill Mazeroski .

* The St. Louis Cardinals , for Hall of Famer Enos Slaughter .

In the National Basketball Association|NBA :

* The Atlanta Hawks , for Naismith Memorial Basketball Hall of Fame|Hall of Famer Bob Pettit .

* The Phoenix Suns , for Dan Majerle .

* The Utah Jazz , for owner Larry H. Miller|Larry Miller .

In the National Hockey League|NHL :

* The Boston Bruins , for Hockey Hall of Fame|Hall of Famer Johnny Bucyk .

* The Calgary Flames , for Hall of Famer Lanny McDonald .

* The Chicago Blackhawks , for Hall of Famer Bobby Hull .

* The Detroit Red Wings , for Hall of Famer Gordie Howe .

* The Edmonton Oilers , for Hall of Famer Glenn Anderson .

* The Montreal Canadiens , for Hall of Famer Maurice Richard .

* The New York Islanders , for Hall of Famer Clark Gillies .

* The New York Rangers , for Hall of Famer Andy Bathgate and Adam Graves .

* The Toronto Maple Leafs have a policy of not retiring numbers unless the player honoured either died or suffered a career-ending incident while a member of the team. Other players whose numbers would otherwise be retired instead have their numbers enshrined by the team as "Honoured Numbers", which remain in circulation for future players. The number 9 is currently honoured for Hall of Famers Ted Kennedy (ice hockey)|Ted Kennedy and Charlie Conacher .

* The first NHL incarnation of the Winnipeg Jets (1972–96)|Winnipeg Jets , also for Hull. Although the Jets moved from Winnipeg to become the Phoenix Coyotes , the Coyotes continue to honor all numbers retired by the Jets. The Coyotes briefly took the number out of retirement for Hull's son Brett Hull , also a Hall of Famer, in 2005–06 until the younger Hull retired five games into that season.

No National Football League|NFL team has yet retired #9.

Technology

ISO 9 is the International Organization for Standardization|ISO 's standard for the transliteration of Cyrillic characters into Latin characters

In the Rich Text Format specification, 9 is the language code for the English language . All codes for regional variants of English are congruent to 9 mod 256.

The seven-segment display allows the number 9 to be constructed two ways, either with a hook at the end of its stem or without one. Most liquid crystal display|LCD calculators use the former, but some vacuum fluorescent display|VFD models use the latter.

The9 Limited (owner of ) is a company in the video-game game industry, including former ties to the extremely popular MMORPG World of Warcraft

Other fields

Nine justices sit on the United States Supreme Court .

Stanine s, a method of scaling test scores, range from 1 to 9.

Copyright Citations

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