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equently determined. -- Indeterminate equation (Math.), an equation in which the unknown quantities admit of an infinite number of values, or sets of values. A group of equations is indeterminate when it contains more unknown quantities than there are equations. -- Indeterminate inflorescence (Bot.), a mode of inflor…

The figure or letter which shows the power or root of a quantity; the exponent. [In this sense the plural is always indices.] Index error, the error in the reading of a mathematical instrument arising from the zero of the index not being in complete adjustment with that of the limb, or with its theoretically perfect po…

supposition involves an absurdity (reductio ad absurdum), or an impossibility; thus, one quantity may be proved equal to another by showing that it can be neither greater nor less. -- Indirect discourse. (Gram.) See Direct discourse, under Direct. -- Indirect evidence, evidence or testimony which is circumstantial o…

Not capable of exact division, as one quantity by another; incommensurable.

or 1.

Greater than any assignable quantity of the same kind; -- said of certain quantities.

or limits; beyond or below assignable limits; as, an infinitely large or infinitely small quantity.

Infinitely or indefinitely small; less than any assignable quantity or value; very small. Infinitesimal calculus, the different and the integral calculus, when developed according to the method used by Leibnitz, who regarded the increments given to variables as infinitesimal.

By infinitesimals; in infinitely small quantities; in an infinitesimal degree.

Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity. Sir T. More. There can not be more infinities than one; for one of them would limit the other. Sir W. Raleigh.

To swallow, devour, or drink greedily or in large quantity; to guzzle. Cleveland.

t enough; inadequate to any need, use, or purpose; as, the provisions are insufficient in quantity, and defective in quality. "Insufficient for His praise." Cowper.

The quantity taken in; as, the intake of air.

Of, pertaining to, or being, a whole number or undivided quantity; not fractional.

erms of, as of a series, according to the law of the series; to introduce, as a number or quantity, in a partial series, according to the law of that part of the series.

Introduced or determined by interpolation; as, interpolated quantities or numbers.

Having exponents which are radical quantities; -- said of certain powers; as, xsq. root2, or xsq. roota. Interscedent series, a series whose terms are interscendent quantities. Hutton.

An invariable quantity; a constant.

An invariable quantity; specifically, a function of the coefficients of one or more forms, which remains unaltered, when these undergo suitable linear transformations. J. J. Sylvester.

th reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity; as, multiplication is the inverse operation to division. The symbol of an inverse operation is the symbol of the direct operation with -1 as an index. Thus sin-1 x means the arc whose sine is x.…