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 ...
... 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 18241898, U.S. womens magazine editor and womans club movement pioneer. Demorests 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 (18191891)
“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 (18881974)