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The process of finding the roots of an equation. [Obs.]

To state in enlarged form; to develop; as, to expand an equation. See Expansion, 5.

function. Exponential curve, a curve whose nature is defined by means of an exponential equation. -- Exponential equation, an equation which contains an exponential quantity, or in which the unknown quantity enters as an exponent. -- Exponential quantity (Math.), a quantity whose exponent is unknown or variable, as…

amily of curves or surfaces (Geom.), a group of curves or surfaces derived from a single equation. -- In a family way, like one belonging to the family. "Why don't we ask him and his ladies to come over in a family way, and dine with some other plain country gentlefolks" Thackeray. -- In the family way, pregnant. [Co…

An aquatic plant (Hottonia palustris), having finely divided leaves.

or covered wholly or partially with water, but producing sedge, coarse grasses, or other aquatic plants; boggy land; moor; marsh. 'Mid reedy fens wide spread. Wordsworth.

and Eve (Genesis iii.7), a covering for a thing that ought to be concealed; esp., an inadequate covering; a symbol for affected modesty. -- Fig marigold (Bot.), the name of several plants of the genus Mesembryanthemum, some of which are prized for the brilliancy and beauty of their flowers. -- Fig tree (Bot.), any tr…

An aquatic plant, with long, ensiform leaves, belonging to either of the genera Iris and Acorus. Cooper's flag, the cat-tail (Typha latifolia), the long leaves of which are placed between the staves of barrels to make the latter water-tight. -- Corn flag. See under 2d Corn. -- Flag broom, a coarse of broom, originall…

tection to ships riding at anchor to leeward. Knight. -- Floating heart (Bot.), a small aquatic plant (Limnanthemum lacunosum) whose heart-shaped leaves float on the water of American ponds. -- Floating island, a dish for dessert, consisting of custard with floating masses of whipped cream or white of eggs. -- Float…

ounded or leaflike ornament, in windows, niches, etc. A group of foils is called trefoil, quatrefoil, quinquefoil, etc., according to the number of arcs of which it is composed. Foil stone, an imitation of a jewel or precious stone.

The enrichment of an opening by means of foils, arranged in trefoils, quatrefoils, etc.; also, one of the ornaments. See Tracery.

on asymptote. The curve has a double point, and a leaf-shaped loop; whence the name. Its equation is x3 + y3 = axy.

A person whose views and opinions are extremely antiquated; one whose sympathies are with a former time rather than with the present. [Colloq.]

The state of being extremely antiquated in views and opinions.

To cause to become antiquated, rigid, or fixed, as by fossilization; to mummify; to deaden. Ten layers of birthdays on a woman's head Are apt to fossilize her girlish mirth. Mrs. Browning.

Converted into a fossil; antiquated; firmly fixed in views or opinions. A fossilized sample of confused provincialism. Earle.

d or provided; sufficient in. quantity, quality, or degree; copious; plenteous; ample; adequate; as, a full meal; a full supply; a full voice; a full compensation; a house full of furniture.

In a full manner or degree; completely; entirely; without lack or defect; adequately; satisfactorily; as, to be fully persuaded of the truth of a proposition. Fully committed (Law), committed to prison for trial, in distinction from being detained for examination.

x. Algebraic function, a quantity whose connection with the variable is expressed by an equation that involves only the algebraic operations of addition, subtraction, multiplication, division, raising to a given power, and extracting a given root; -- opposed to transcendental function. -- Arbitrary function. See unde…

he angle included between the radius of the earth through the place and the plane of the equator, in distinction from geographic latitude. It is a little less than the geographic latitude.