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Number
(redirected from transcendental number)

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INDEFINITE, NUMBER. A number which may be increased or diminished at pleasure.
     2. When a corporation is composed of an indefinite number of persons, any number of them consisting of a majority of those present may do any act unless it be otherwise regulated by the charter or by-laws. See Definite number.

NUMBER. A collection of units.
     2. In pleading, numbers must be stated truly, when alleged in the recital of a record, written instrument, or express contract. Lawes' PI. 48; 4 T. R. 314; Cro. Car. 262; Dougl. 669; 2 Bl. Rep. 1104. But in other cases, it is not in general requisite that they should be truly stated, because they are not required to be strictly proved. If, for example, in an action of trespass the plaintiff proves the wrongful taking away of any part of the goods duly described in his declaration, he is entitled to recover pro tanto. Bac. Ab. Trespass, I 2 Lawes' PI. 48.
     3. And sometimes, when the subject to be described is supposed to comprehend a multiplicity of particulars, a general description is sufficient. A declaration in trover alleging the conversion of "a library of books"' without stating their number, titles, or quality, was held 'to be sufficiently certain; 3 Bulst. 31; Carth. 110; Bac. Ab. Trover, F 1; and in an action for the loss of goods, by burning the plaintiff's house, the articles may be described by the simple denomination of "goods" or "divers goods." 1 Keb. 825; Plowd. 85, 118, 123; Cro. Eliz. 837; 1 H. Bl. 284.


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In 1882, mathematicians proved that pi is what they call a transcendental number, effectively ruling out the possibility of constructing a square out of a circle using only ruler and compass.
They can be chosen, for example, by some complicated process of picking digits out of a very long, many-digit number, perhaps the product of a complicated sequence of squarings or factorings, or maybe a transcendental number -- pi, for example, calculated to hundreds of significant figures.
 
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