See English definition of �number�.
The `Number` Context contains numeric functions,
procedures, and numeric types. Cardinal
and Real distinguish the two basic
numeric models, the first based on counting numbers, and the
second on real numbers. It is believed that expressions
constructed in The Restricted Arithmetic
Rule Environment (RARE), with Cardinal
& Real atoms are sufficient to
model any conceivable numeric type, structure, or function.
Compute[�]
works in RARE,
(the Restricted Arithmetic Rule Environment), which provides arithmetic,
trigonometric, complex-plane trigonometry, number-type, probability
and whatever-gets-installed in the Grok32`Number`Compute` subContext.
Fundamental numeric functions reside in the Grok32`Number`Compute` subcontext. These functions operate on and produce Integers or Real numbers. Within Compute[�]�s brackets, all of these functions are available regardless of whether Grok32`Number`Compute` is on the ContextSequence. In addition to these numeric functions, Compute[�] allows half of the Grok32` lexicon. See RARE Details (�an analysis of the Restricted Arithmetic Rule Environment.).
number n.
1. The total, aggregate, or amount of units (whether of things, persons, or abstract units); arithmetic aggregate; as, odd or even numbers.
2. A character or symbol, as a figure or word, or a group of figures or words, representing graphical or arithmetical sum; a numeral as, the number 45; four is a number. A perfect number, as 6, is equal to the sum of its various divisors, as 1, 2, 3. An imperfect number is either greater or less�
3. pl. The study or science of abstract units and their computation; arithmetic; as, skill in numbers.
4. A particular numeral by which a thing or person is designated in a series or collection; as, a conductor�s or a policeman�s number; a house number.
5. a Also pl. The full count or complement (of a particular company or class of persons); as, to repair his numbers.
b An aggregate, collection, or compay; an assemblage � with adjectives, such as great, small, considerable, etc.
c A certain indefinitetely large aggregate, collection, or company, as of persons, not actually or accurately counted; a considerable number; many; as, grown to a number; -- also pl. with intensive force; as, they arrived in numbers.
When number is used collectively, it is regularly followed by the singular verb; as, an increasing number of patrons has forced me to enlarge the store; a limited number of cars is available. When number is used distributively, it is regularly followed by the plural verb; as, a number of people have already arrived; a number of accidents always occur on slippery pavements.
6. a Quantity, as made up of units; the category of discrete quantity; as, the difference between the notions �many� and �few� is one of number.
b Possibility of numbering; -- commonly in negative expressions; as, times without number, or out of number.
7. A single member of a series designated by consecutive
numerals, as one of the separate issues of a periodical or of a book issued in
parts; as, the May number of the Atlantic Monthly; hence, without
designation by numerals, one of a collection, as of poems; a distinct part; as,
the solo numbers of an opera.
number transitive verb.
1. To count; reckon; ascertain the number of; enumerate.
If a man can number the dust of the earth, then shall thy seed also
be numbered.
Gen. xiii, 16.
2. To give or apply a number or numbers to; to mark or distinguish by a number; as, to number the houses.
3. To reckon as on of a collection, compay, or multitude.
He was numbered with his
transgressors.
Is. liii. 12.
4. To fix the number or duration of; to reduce or limit in number, esp. to a small number; -- chiefly in the passive; as, his days are numbered.
number field.
Math. An aggregate of elements or magnitudes which when combined unlimitedly by addition, subtraction, multiplication, or division (the divisor zero being excluded), always produces an element of the aggregate. The field of rational numbers is contained in every number field and is therefore called the absolute number field.
[From Websters1949Unabridged.]
� 2004, 2005
by John Van Wie Bergamini.
All rights reserved.