successor


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Related to successor: Successor In Interest, Successor Trustee

successor

Logic the element related to a given element by a serial ordering, esp the natural number next larger to a given one. The successor of n is n + 1, usually written Sn or

successor

[sək′ses·ər]
(mathematics)
For a vertex a in a directed graph, any vertex b for which there is an arc between a and b directed from a to b.
For a positive integer, n, the next integer, n + 1. Also known as consequent.

SuccessoR

(1)
A language for distributed computing derived from SR.

["SuccessoR: Refinements to SR", R.A. Olsson et al, TR 84-3, U Arizona 1984].

successor

(2)
References in classic literature ?
All the beauty that has ever been in the world has broken the laws of all previous beauty, and unwillingly dictated laws to the beauty that succeeded it,--laws which that beauty has no less spiritedly broken, to prove in turn dictator to its successor.
Geniuses are rare and, without being at all an undue praiser of times past, one can say without hesitation that until the appearance of Hugh Lofting, the successor of Miss Yonge, Mrs.
Neither have our brother's sagacity and prudence been less in repute among his brethren than his valour and discipline; in so much, that knights, both in eastern and western lands, have named De Bois-Guilbert as one who may well be put in nomination as successor to this batoon, when it shall please Heaven to release us from the toil of bearing it.
In obedience, therefore, to his honour's commands, I related to him the Revolution under the Prince of Orange; the long war with France, entered into by the said prince, and renewed by his successor, the present queen, wherein the greatest powers of Christendom were engaged, and which still continued: I computed, at his request, "that about a million of YAHOOS might have been killed in the whole progress of it; and perhaps a hundred or more cities taken, and five times as many ships burnt or sunk.
In order to explain this strange request," continued the officers, "it is necessary that you should know that the grand-vizir, lately dead, was celebrated for his beautiful handwriting, and the Sultan is anxious to find a similar talent in his successor.
His duty is to administer the present government, as it came to his hands, and to transmit it, unimpaired by him, to his successor.
For, more than once, the arrow shot by one man would be split wide open by his successor.
For if you kill me you will not easily find a successor to me, who, if I may use such a ludicrous figure of speech, am a sort of gadfly, given to the state by God; and the state is a great and noble steed who is tardy in his motions owing to his very size, and requires to be stirred into life.
The art of making it is known to only one living person, the Chief Circle for the time being; and by him it is handed down on his death-bed to none but his Successor.
At first he refused to leave his human friend for the companionship of his own kind; but when he saw the last of the tribe wandering off into the jungle again and his glance rested upon the lithe figure of the dead king's young mate as she cast admiring glances at her lord's successor the call of blood would not be denied.
On this very 2nd of October he had dismissed James Forster, because that luckless youth had brought him shaving-water at eighty-four degrees Fahrenheit instead of eighty-six; and he was awaiting his successor, who was due at the house between eleven and half-past.
Morrel descended and came forth to meet it, followed by the soldiers and sailors there assembled, to whom he had repeated the promise already given, that Dantes should be the successor to the late Captain Leclere.