### Some articles on *numbers*:

... In abstract algebra terms, the dual

**numbers**can be described as the quotient of the polynomial ring R by the ideal generated by the polynomial X2, R/(X2) ... With this description, it is clear that the dual

**numbers**form a commutative ring with characteristic 0 ... Moreover the inherited multiplication gives the dual

**numbers**the structure of a commutative and associative algebra over the reals of dimension two ...

... Most winter in that sea, but small

**numbers**enter the Atlantic in late summer ... This is a gregarious species, which can be seen in large

**numbers**from boats or headlands, especially in autumn ... and thus, while not threatened judging from its absolute

**numbers**, could be vulnerable to adverse effects of inbreeding ...

... Five

**numbers**were then aligned on the outside top of the square, and five

**numbers**on the left side of the square vertically ... Usually these

**numbers**were arranged 1 through 5 ... By cross-referencing the two

**numbers**along the grid of the square, a letter could be deduced ...

... One application of dual

**numbers**is automatic differentiation ... Consider the real dual

**numbers**above ... of this polynomial from the reals to the dual

**numbers**...

**Numbers**

... Please refer to the separate

**numbers**article for details of how

**numbers**work in Finnish ...

### More definitions of "Numbers":

- (
*noun*): The fourth book of the Old Testament; contains a record of the number of Israelites who followed Moses out of Egypt.

Synonyms: Book of Numbers

### Famous quotes containing the word numbers:

“The barriers of conventionality have been raised so high, and so strangely cemented by long existence, that the only hope of overthrowing them exists in the union of *numbers* linked together by common opinion and effort ... the united watchword of thousands would strike at the foundation of the false system and annihilate it.”

—Mme. Ellen Louise Demorest 1824–1898, U.S. women’s magazine editor and woman’s club movement pioneer. Demorest’s Illustrated Monthly and Mirror of Fashions, p. 203 (January 1870)

“All experience teaches that, whenever there is a great national establishment, employing large *numbers* of officials, the public must be reconciled to support many incompetent men; for such is the favoritism and nepotism always prevailing in the purlieus of these establishments, that some incompetent persons are always admitted, to the exclusion of many of the worthy.”

—Herman Melville (1819–1891)

“Out of the darkness where Philomela sat,

Her fairy *numbers* issued. What then ailed me?

My ears are called capacious but they failed me,

Her classics registered a little flat!

I rose, and venomously spat.”

—John Crowe Ransom (1888–1974)