noun

definition

An inverted state: a state in which something has been turned (properly) upside down or inside out or backwards.

example

321 is the inverse of 123.

definition

The result of an inversion, particularly:

definition

A second element which negates a first; in a binary operation, the element for which the binary operation—when applied to both it and an initially given element—yields the operation's identity element, specifically:

definition

A morphism which is both a left inverse and a right inverse.

definition

The winning of the coup in a game of rouge et noir by a card of a color different from that first dealt; the area of the table reserved for bets upon such an outcome.

definition

(Kiowa-Tanoan) A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.

verb

definition

To compute the bearing and distance between two points.

adjective

definition

Opposite in effect, nature or order.

definition

Reverse, opposite in order.

definition

Inverted; having a position or mode of attachment the reverse of that which is usual.

definition

Having the properties of an inverse; said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity.

example

Multiplication is the inverse operation to division.

definition

That has the property of being an inverse (the result of a circle inversion of a given point or geometrical figure); that is constructed by circle inversion.

example

A circle inversion maps a given generalized circle to its inverse generalized circle.

definition

(of a category) Whose every element has an inverse (morphism which is both a left inverse and a right inverse).

Examples of inverse in a Sentence

There we proceeded from the direct to the inverse operations.

In general theory the inverse rule seems to prevail.

There is therefore as yet no ground for regarding any deviation from the law of inverse square as more than a possibility.

The process of dispersion is the inverse of that of absorption, and exhibits similar features.

Liberals were scandalized by his apparent identification of " right " with " might," implied in the demand for a strong government; and though he often declared the true interpretation to be that the right would ultimately become might, his desire for strong government seemed too often to sanction the inverse view.

A direct and an inverse calculus is thus created, the object of the former being to determine the coefficients from the generating function, of the latter to discover the generating function from the coefficients.

The mathematical function log x or log x is one of the small group of transcendental functions, consisting only of the circular functions (direct and inverse) sin x, cos x, &c., arc sin x or sin-' x,&c., log x and e x which are universally treated in analysis as known functions.

But since an equiangular spiral having a given pole is completely determined by a given point and a given tangent, this type of orbit is not a general one for the law of the inverse cube.

The law of the inverse cube P=u u is interesting by way of contrast.

It is certain that, in the general average, year after year, the force with which Mercury is drawn toward the sun does vary from the exact inverse square of its distance from the sun.

Similarly, in the case of a circle with the pole on the circumference we have p2=r2/2a, P=ufri, if u=8hlai; but this orbit is not a general one for the law of the inverse fifth power.

See also matrix singularity, matrix inverse, generalized inverse.

The inverse tangent is the value whose tangent is ` x '.

The transpose of the matrix is a right inverse of the generator matrix.

Spanky is a sort of inverse Divine rail-thin but still vying to be the most disgusting person on earth.

Inverse psoriasis occurs in the armpits and groin, under the breasts, and in other areas where skin flexes or folds.

This inverse association was stronger than that for omega-3 fatty acid intake alone.

They are linked to inverse operations, many algebraic functions, and proportions.

This can be mirrored on the other side by what is known as an inverse belly button piercing.

Inverse navel piercings run through the lower lip of the navel and extend upwards into the center of the belly button.

Placement is commonly through the upper lip of the navel, but navel piercings can be placed at any point around the navel, including the inverse lip or either side.

Among the watch's high-tech attributes are inverse chrono functions, chrono sub dials, bi-directional rotating bezel and screw-in mineral crystal.

Some lessons will be geared 75-100 percent towards the babies, and others will be the inverse of that.

The inverse is true as well, as activities like yoga do not require as sturdy a bra.

Is popularity a factor - or does popularity have an inverse relationship with great music?

In the present section, however, we return from the inverse operation to the direct; i.e.

It is not yet experimentally proved that variation as the inverse square is absolutely true at all distances.

The law of this force, for all distances greater than say the thousandth of an inch, is an attraction varying as the inverse square of the distance.

It is curious, however, to find that an ancient nation of the East, so wise in geometrical proportions, should have followed what by modern experience may be regarded as an inverse method, that of obtaining a unit of length by deducing it through weights and cubic measure, rather than by deriving cubic measure through the unit of length.

Through this space the fresh surface water finds its way, and dissolving the salt below rises in the inner tube as brine, but only to such a level that the two columns bear to one another the relation of ten to twelve, this being the inverse ratio of the respective weights of saturated brine and fresh water.

Thus, in place of his general tri-quaternion we might deal with products of an odd number of point-plane-scalars (of form, uq+wr) which are themselves point-plane-scalars; and products of an even number which are octonions; the quotient of two point-plane-scalars would be an octonion, of two octonions an octonion, of an octonion by a point-plane-scalar or the inverse a point-plane-scalar.

Hence the only law of force which satisfies the conditions is that of the inverse square.

Removing the summation signs in equation (52) in order to restrict its application to two points and dividing by the common time interval during which the respective small displacements ds and ds were made, it becomes Pdsfdt = Rds/dt, that is, Pv = Rv, which shows that the force ratio is the inverse of the velocity ratio.

The volumes of their publication, Resultate aus den Beobachtungen des magnetischen Vereins, extend from 1836 to 1839; and in those for 1838 and 1839 are contained the two important memoirs by Gauss, Allgemeine Theorie des Erdmagnetismus, and the Allgemeine Lehrscitze - on the theory of forces attracting according to the inverse square of the distance.

Its history does not run parallel with the scientific side, but rather varies in inverse ratio with scientific activity.

Eichler, one of the chief supporters of the simpler view, does not recognize in the inverse orientation of the vascular bundles an argument in support of the axillary-bud theory, but points out that the seminiferous scale, being an outgrowth from the surface of the carpellary scale, would, like outgrowths from an ordinary leaf, naturally have its bundles inversely orientated.

Speaking generally, the Ozark region is characterized by reddish clays, mixed with gravels and stones, and cultivable in inverse proportion to the amount of these elements; northern Missouri by a generally black clay loam over a clay subsoil, with practically no admixture of stones; the southern prairies, above referred to, share the characteristics of those north of the Missouri.

Now under the law of attraction according to the inverse square of the distance, or any other inverse power beyond the first, the energy of even a single pair of material points is unlimited, if their possible closeness of approach to one another is unlimited.

Newton, by calculating from Kepler's laws, and supposing the orbits of the planets to be circles round the sun in the centre, had already proved that the force of the sun acting upon the different planets must vary as the inverse square of the distances of the planets from the sun.

But by observing the distance through which a body would fall in one second of time at the earth's surface, and by calculating from that on the supposition of the force diminishing in the ratio of the inverse square of the distance, he found that the earth's attraction at the distance of the moon would draw a body through 15 ft.

In January 1684 Sir Christopher Wren, Halley and Hooke were led to discuss the law of gravity, and, although probably they all agreed in the truth of the law of the inverse square, yet this truth was not looked upon as established.

It appears that Hooke professed to have a solution of the problem of the path of .a body moving round a centre of force attracting as the inverse square of the distance; but Halley, finding, after a delay of some months, that Hooke " had not been so good as his word " in showing his solution to Wren, started in the month of August 1684 for Cambridge to consult Newton on the subject.

Excepting in the correspondence with Flamsteed we hear nothing more of the preparation of the Principia until the 21st of April 1686, when Halley read to the Royal Society his Discourse concerning Gravity and its Properties, in which he states " that his worthy countryman Mr Isaac Newton has an incomparable treatise of motion almost ready for the press," and that the law of the inverse square " is the principle on which Mr Newton has made out all the phenomena of the celestial motions so easily and naturally, that its truth is past dispute."

This scholium was- " The inverse law of gravity holds in all the celestial motions, as was discovered also independently by my countrymen Wren, Hooke and Halley."

Involution is a direct process, consisting of successive multiplications; the other two are inverse processes.

But, in attempting the inverse processes of subtraction, division, and either evolution or determination of index, the data may be such that a process cannot be performed.

I know what I mean when I say I believe in the law of the inverse squares, and I will not rest my life and my hopes upon weaker convictions.

Ward in his Gifford lectures for 1896-1898 (Naturalism and Agnosticism, 1899), Huxley's challenge ("I know what I mean when I say I believe in the law of the inverse squares, and I will not rest my life and my hopes upon weaker convictions") is one which a spiritualistic philosophy need not shrink from accepting at the hands of naturalistic agnosticism.

The first minors, each divided by the determinant itself, form a system of elements inverse to the elements of the determinant.

The discovery of Neptune in 1846 by Adams and Leverrier marked the first solution of the " inverse problem " of perturbations.

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