Crossword clues for inverse
inverse
Longman Dictionary of Contemporary English
The Collaborative International Dictionary
Inverse \In"verse\, n. That which is inverse.
Thus the course of human study is the inverse of the
course of things in nature.
--Tatham.
Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F. inverse. See Invert.]
Opposite in order, relation, or effect; reversed; inverted; reciprocal; -- opposed to direct.
(Bot.) Inverted; having a position or mode of attachment the reverse of that which is usual.
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(Math.) Opposite in nature and effect; -- said with 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 or angle whose sine is x.
Inverse figures (Geom.), two figures, such that each point of either figure is inverse to a corresponding point in the order figure.
Inverse points (Geom.), two points lying on a line drawn from the center of a fixed circle or sphere, and so related that the product of their distances from the center of the circle or sphere is equal to the square of the radius.
Inverse ratio, or Reciprocal ratio (Math.), the ratio of the reciprocals of two quantities.
Inverse proportion, or Reciprocal proportion, an equality between a direct ratio and a reciprocal ratio; thus, 4 : 2 : : 1/3 : 1/6, or 4 : 2 : : 3 : 6, inversely.
Douglas Harper's Etymology Dictionary
mid-15c., from Latin inversus, past participle of invertere (see invert). Related: Inversely. As a noun, 1680s, from the adjective.
Wiktionary
1 opposite in effect or nature or order 2 reverse, opposite in order 3 (context botany English) Inverted; having a position or mode of attachment the reverse of that which is usual. 4 (context mathematics English) 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. 5 (context linguistics Kiowa-Tanoan English) A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class. 6 (context category theory English) A morphism which is both a left inverse and a right inverse. n. 1 The opposite of a given, due to contrary nature or effect. 2 The reverse version of a procedure. 3 (context mathematics English) The inverse of an element ''x'' with respect to a binary operation is an element that when combined with ''x'' yields the appropriate identity element. 4 (context logic English) A statement constructed from the negatives of the premise and conclusion of some other statement: ~p → ~q is the inverse of p → q. v
(context surveying English) To compute the bearing and distance between two points.
WordNet
n. something inverted in sequence or character or effect; "when the direct approach failed he tried the inverse" [syn: opposite]
Wikipedia
Inverse or invert may refer to:
- Inverse (logic), a type of immediate inference from a conditional sentence
- Inverse multiplexer (or 'demultiplexer'), which breaks a single data stream into several streams with lower data rates
- "Invert", a term used in the exotic pet industry to refer to arthropods
- Inversions (novel), a science fiction novel by Iain M. Banks
- Inverse (website), an online magazine
Inverse is an American online magazine geared to young millennial men. Launched by Dave Nemetz, co-founder of Bleacher Report, the site was made possible through seed funding and is based out of San Francisco, California. The publication employed fifteen staff writers on its launch in 2015. Tyler Woods of Technical.ly Brooklyn called it a " Bustle for men".
In logic, an inverse is a type of conditional sentence which is an immediate inference made from another conditional sentence. Any conditional sentence has an inverse: the contrapositive of the converse. The inverse of P → Q is thus ¬P → ¬Q.
For example, substituting propositions in natural language for logical variables, the inverse of the conditional proposition, "If it's raining, then Sam will meet Jack at the movies" is "If it's not raining, then Sam will not meet Jack at the movies."
The inverse of the inverse, that is, the inverse of ¬P → ¬Q, is ¬¬P → ¬¬Q. Since the double negation of any statement is equivalent to the original in classical logic, the inverse of the inverse is logically equivalent to the original conditional P → Q. Thus it is permissible to say that ¬P → ¬Q and P → Q are inverses of each other. Likewise, P → ¬Q and ¬P → Q are inverses of each other.
The inverse and the converse of a conditional are logically equivalent to each other, just as the conditional and its contrapositive are logically equivalent to each other. But the inverse of a conditional cannot be inferred from the conditional. For example, "If it's not raining, then Sam will not meet Jack at the movies" cannot be inferred from "If it's raining, then Sam will meet Jack at the movies." It could easily be the case that Sam and Jack are attending the movies no matter the weather.
In traditional logic, where there are four named types of categorical propositions, only forms A and E have an inverse. To find the inverse of these categorical propositions one must: replace the subject and the predicate of the invertend by their respective contradictories and change the quantity from universal to particular.
- All S are P (A form) becomes Some non-S are non-P
- All S are not P (E form) becomes Some non-S are not non-P
In many contexts in mathematics the term inverse indicates the opposite of something. This word and its derivatives are used widely in mathematics, as illustrated below.
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Inverse element of an element x with respect to a binary operation * with identity element e is an element y such that x * y = y * x = e. In particular,
- the additive inverse of x is −x;
- the multiplicative inverse or reciprocal of x is x.
- inverse function — inverse element with respect to function composition: a function that "reverses" the action of a given function: f(f(x)) = x.
- Inversion in a point — a geometric transform.
- Circle inversion — another particular geometric transformation of a plane that maps the outside of a circle to the inside and vice versa.
- Inverse limit — a notion in abstract algebra.
- Inverse (logic) — ~p → ~q is the inverse of p → q.
- Inverse matrix — inverse element with respect to matrix multiplication.
- Pseudoinverse, a generalization of the inverse matrix.
- Inverse proportion, also inversely proportional — a relationship between two variables x and y characterized by the equation y = k/x.
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Inverse problem — the task of identifying model parameters from observed data; see for example
- inverse scattering problem
- inverse kinematics
- inverse dynamics.
- Inverse perspective — the further the objects, the larger they are drawn.
- Inverse semigroup
- Inverse of an element in a semigroup
- Inverse-square law — the magnitude of a force is proportional to the inverse square of the distance.
- Inverse transform sampling — generate some random numbers according to a given probability distribution.
- Inverse chain rule method — related to integration and differentiation.
- Inversion of elements, a pair of adjacent out-of-order elements of a permutation (viewed as a list).
- Inverse relation
- Inversion transformation, an extension of Poincaré transformation.
- In set theory, the inverse of a set is called Complement (set theory).
Usage examples of "inverse".
Neurons are activated by pitch, in inverse proportion to the speed at which the pitch in the melody is changing.
Anne Blenheim had been told that sound sometimes carried or was muffled strangely in the artificially created and maintained atmosphere pressed by inverse gravity against the inside of a round shell.
This acts dysgenically because it is a stimulus to married people to have large families in inverse proportion to their income, and is felt most by those whose purpose in having children is least approvable.
Now it is known by experience, that the losses in physical forces in the course of a battle seldom present a great difference between victor and vanquished respectively, often none at all, sometimes even one bearing an inverse relation to the result, and that the most decisive losses on the side of the vanquished only commence with the retreat, that is, those which the conqueror does not share with him.
It follows, from the curious fact, that the half of the numbers which compose this progression represents, in inverse order, the figures of the second half: 9.
The various schemes for redistribution lead one to the conclusion that the number of members in the First Volksraad were to be in inverse ratio to the population.
Wilson and John Mangles soon found themselves in an inverse position, which made the action of the oars impossible.
Perhaps in a different universe arithmetic would be noncommutative and there would be no law of inverse squares.
The precinct building lights snapped to inverse colors every time I opened a door, and I tripped over backwardly shadowed stairs and my own feet three times trying to get to the front door.
Boadle beaned by a barrel of flour whence the doctrine of res ipsa loquitur tendered by Harry in an image more suiting those unnatural persons mounting, in an almost inverse proportion to the millions, billions in settlements, the frivolous legal heights of corporate anonymity, in Harry's hands become the chandelier he's dropped here in Oscar's path, arching his good knee, squaring the pillow, his glasses again, licking a thumb to flick over the cover page of Szyrk v.
O'Toole next scattered the numbers of the two birthdates using an inverse Fibonacci sequence (34, 21,13,8, 5, 3, 2,1,1) to define the locations of the nine new integers in the original forty-one-digit string.
The titles of Brunei's aristocracy were in inverse proportion to the country's size.
Maybe more astonishingly, at least for economic determinists, the teams in baseball's best division, the American League West, finished in inverse order to their payrolls.
The Curie law, according to which the coefficient of magnetization of a body feebly magnetized varies in inverse ratio to the absolute temperature, is a remarkably simple law.
And there were those who whispered of even stranger blood (if one could properly call it blood) and a monstrous linkage with the swart Protean spawn that had come down with Tsathoggua from elder worlds and exterior dimensions where physiology and geometry had both assumed an altogether inverse trend of development.