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me function F(x) by successively imparting a constant increment or decrement h to the independent variable. Thus the product F(x).F(x + h).F(x + 2h) . . . F[x + (n-1)h] is called a factorial term, and its several factors take the name of factorials. Brande & C.

inward; -- said of the timbers or upper parts of a ship's side which are much within a perpendicular. -- To fall in. (a) To sink inwards; as, the roof fell in. (b) (Mil.) To take one's proper or assigned place in line; as, to fall in on the right. (c) To come to an end; to terminate; to lapse; as, on the death of Mr.…

The group comprising a husband and wife and their dependent children, constituting a fundamental unit in the organization of society. The welfare of the family underlies the welfare of society. H. Spencer.

te of being fatal, or proceeding from destiny; invincible necessity, superior to, and independent of, free and rational control. The Stoics held a fatality, and a fixed, unalterable course of events. South.

A painful emotion or passion excited by the expectation of evil, or the apprehension of impending danger; apprehension; anxiety; solicitude; alarm; dread.

One of the peculiar dermal appendages, of several kinds, belonging to birds, as contour feathers, quills, and down.

ering wheel (Naut.), a paddle wheel whose floats turn automatically so as to dip about perpendicularly into the water and leave in it the same way, avoiding beating on the water in the descent and lifting water in the ascent.

A right to the use of a superior's land, as a stipend for services to be performed; also, the land so held; a fief.

al states; a high degree of susceptibility to emotions or states of the sensibility not dependent on the body; as, a man of feeling; a man destitute of feeling.

Law), a married woman, by the custom of London, engages in business on her own account, inpendently of her husband.

A garland or wreath hanging in a depending curve, used in decoration for festivals, etc.; anything arranged in this way.

A stipendiary estate in land, held of superior, by service; the right which a vassal or tenant had to the lands or other immovable thing of his lord, to use the same and take the profists thereof hereditarily, rendering to his superior such duties and services as belong to military tenure, etc., the property of the soi…

The feudal system; a system by which the holding of estates in land is made dependent upon an obligation to render military service to the kind or feudal superior; feudal principles and usages.

Covered with hairlike appendages, as the under surface of some lichens; also, composed of little strings or fibers; as, fibrillose appendages.

One who depends for salvation on faith, without works; an Antinomian. Hammond.

in war; being the scene of a battle; as, a fighting field. Pope. A fighting chance, one dependent upon the issue of a struggle. [Colloq.] -- Fighting crab (Zoöl.), the fiddler crab. -- Fighting fish (Zoöl.), a remarkably pugnacious East Indian fish (Betta pugnax), reared by the Siamese for spectacular fish fights.…

A thread or threadlike object or appendage; a fiber; esp. (Bot.), the threadlike part of the stamen supporting the anther.

of my narration. Sir H. Wotton. File firing, the act of firing by file, or each file independently of others. -- File leader, the soldier at the front of any file, who covers and leads those in rear of him. -- File marching, the marching of a line two deep, when faced to the right or left, so that the front and rear…

A finlike appendage, as to submarine boats. Apidose fin. (Zoöl.) See under Adipose, a. -- Fin ray (Anat.), one of the hornlike, cartilaginous, or bony, dermal rods which form the skeleton of the fins of fishes. -- Fin whale (Zoöl.), a finback. -- Paired fins (Zoöl.), the pectoral and ventral fins, corresponding to t…

The science of raising and expending the public revenue. "Versed in the details of finance." Macaulay.