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9 (number)

(Redirected from Nine)

9 (nine) is the natural number following 8 and preceding 10.

List of numbers — Integers << 0 1 2 3 4 5 6 7 8 9 >>
Cardinal	nine
Ordinal	ninth
Numeral system	novenary
Factorization
Roman numeral	IX or VIIII
Binary	1001
Hexadecimal	9

In mathematics

In base-10 a number is evenly divisible by nine if and only if the iterative sum of its digits reduces to 9. This is equivalent to saying a number is divisible by 9 if and only if its decimal digit total is divisible by 9. The only other number with this property is three. In base-N, the divisors of N−1 have this property. Another consequence of 9 being 10−1, is that it is also a Kaprekar number.

In probability, the nine is a logarithmic measure of probability of an event, defined as the negative of the base-10 logarithm of the probability of the event's complement. For example, an event that is 99 % likely to occur has an unlikelihood of 1 % or 0.01, which amounts to −log₁₀ 0.01 = 2 nines of probability. Zero probability gives zero nines (−log₁₀ 1 = 0). The purity of chemicals, the effectivity of processes, the availability of systems etc. can similarly be expressed in nines. For example, "five nines" (99.999 %) availability implies a total downtime of no more than five minutes per year.

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

In numeral systems

In music

Bands with the number nine in their name include Stroke 9, Nine Days and Nine Inch Nails. There is also a song called "Love Potion #9".

Both Ludwig van Beethoven and Anton Bruckner wrote nine symphonies. After Beethoven died leaving his Tenth Symphony unfinished, composers were superstitious about writing Ninth Symphonies for the rest of the nineteenth century. Gustav Mahler tried to "cheat death" by writing his Ninth Symphony but calling it Das Lied von der Erde instead. Afterwards he wrote a work called Ninth Symphony, but thinking of it as his Tenth. He died with his Tenth (or Eleventh in his mind) unfinished. Perhaps Antonín Dvořák was also superstitious about the number nine, because he wrote no symphonies after his New World Symphony, which is nowadays considered his Ninth, but which he thought was his Eighth because he considered the score of his early C minor Symphony lost forever. He lived for seven more years. In the twentieth century, a handful of composers, such as Dmitri Shostokovich, have written a Ninth Symphony and lived to write more.

Other fields

Nine is the number of musicians in a nonet. Nine babies born into a single birth are called nonuplets, although not one baby born into a set of nonuplets has ever survived infancy. A polygon with nine sides is an enneagon. A group of nine of anything is called an ennead.

• The atomic number of fluorine
• Someone dressed "to the nines" is dressed up as much as they can be.
• Stanines are measured on a scale of 1 to 9.
• Nine is considered an unlucky number in Japanese culture.
• Nine (九 pinyin jiu3) is considered a good number in Chinese culture because it sounds the same as the word "longlasting" (久 pinyin jiu3).
• There are nine planets in our solar system, each with its mythological and astrological significance, although three of these (Uranus, Neptune, Pluto) were not known as planets in ancient times.
• There are nine basic personality types represented on the enneagram.
• In Greek mythology there are nine Muses.
• Nine judges sit on the United States Supreme Court.
• It takes nine to make a baseball team.
• Nine Lives Cat Food got its name from the legend that a cat has nine lives.
• A novena lasts for nine days.
• Nine months is the gestation period for humans.
• Joel Garreau identified nine different "nations" of North America.
• A standard work day of 9 to 5 begins at 9 a.m.
• The name of the area called Kowloon in Hong Kong literally means: nine dragons.
• In chess, the maximum number of queens each side is allowed to have after queening all pawns.
• Nine rank system
• The Nine Chapters on the Mathematical Art
• Nine Worthies
• The album Nine by Fairport Convention
• Historical years: 9 A.D., 9 B.C., or 1909
• Nine ball is the standard professional billiards variant played in the United States

Natural Nutrition for Dogs and Cats: The Ultimate Pet Diet		Real Food for Cats: 50 Vet-Approved Recipes to Please the Feline Gastronome		Veterinarians Guide to Natural Remedies for Dogs : Safe and Effective Alternative Treatments and Healing Techniques from the Nations Top Holistic Veterinarians		The Consumer's Guide to Cat Food; What's in Cat Food, Why It's There, and How to Choose the Best Food for Your Cat
Fat Cat, Finicky Cat: A Pet Owner's Guide to Cat Food and Feline Nutrition