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  • WordNet 3.6
    • n inversion the act of turning inside out
    • n inversion turning upside down; setting on end
    • n inversion a term formerly used to mean taking on the gender role of the opposite sex
    • n inversion (counterpoint) a variation of a melody or part in which ascending intervals are replaced by descending intervals and vice versa
    • n inversion the reversal of the normal order of words
    • n inversion (genetics) a kind of mutation in which the order of the genes in a section of a chromosome is reversed
    • n inversion the layer of air near the earth is cooler than an overlying layer
    • n inversion a chemical process in which the direction of optical rotation of a substance is reversed from dextrorotatory to levorotary or vice versa
    • n inversion abnormal condition in which an organ is turned inward or inside out (as when the upper part of the uterus is pulled into the cervical canal after childbirth)
    • ***
Webster's Revised Unabridged Dictionary
    • Inversion A change by inverted order; a reversed position or arrangement of things; transposition. "It is just the inversion of an act of Parliament; your lordship first signed it, and then it was passed among the Lords and Commons."
    • Inversion (Math) A change in the order of the terms of a proportion, so that the second takes the place of the first, and the fourth of the third.
    • Inversion (Gram) A change of the usual order of words or phrases; as, “of all vices, impurity is one of the most detestable,” instead of, “impurity is one of the most detestable of all vices.”
    • Inversion (Rhet) A method of reasoning in which the orator shows that arguments advanced by his adversary in opposition to him are really favorable to his cause.
    • Inversion (Mil) A movement in tactics by which the order of companies in line is inverted, the right being on the left, the left on the right, and so on.
    • Inversion (Geom) A peculiar method of transformation, in which a figure is replaced by its inverse figure. Propositions that are true for the original figure thus furnish new propositions that are true in the inverse figure. See Inverse figures, under Inverse.
    • Inversion (Genetics) A portion of the genome in which the DNA has been turned around, and runs in a direction opposite to its normal direction, and consequently the genes are present in the reverse of their usual order.
    • Inversion (Meteorology) A reversal of the usual temperature gradient of the atmosphere, in which the temperature increases with increased altitude, rather than falling. Called also temperature inversion.
    • Inversion (Mus) Said of double counterpoint, when an upper and a lower part change places.
    • Inversion (Mus) Said of intervals, when the lower tone is placed an octave higher, so that fifths become fourths, thirds sixths, etc.
    • Inversion (Mus) Said of a chord, when one of its notes, other than its root, is made the bass.
    • Inversion (Mus) Said of a subject, or phrase, when the intervals of which it consists are repeated in the contrary direction, rising instead of falling, or vice versa.
    • Inversion The act of inverting, or turning over or backward, or the state of being inverted.
    • Inversion (Chem) The act or process by which cane sugar (sucrose), under the action of heat and acids or enzymes (as diastase), is broken or split up into grape sugar (dextrose), and fruit sugar (levulose); also, less properly, the process by which starch is converted into grape sugar (dextrose).
    • Inversion (Electricity) The conversion of direct current into alternating current; the inverse of rectification. See inverted rectifier.
    • Inversion (Geol) The folding back of strata upon themselves, as by upheaval, in such a manner that the order of succession appears to be reversed.
    • ***
Century Dictionary and Cyclopedia
    • n inversion The act of inverting, or the state of being inverted; a turning end for end, upside down, or inside out; any change of order such that the last becomes first and the first last; in general, any reversal of a given order or relation.
    • n inversion Specifically— In grammar, a change of the natural or recognized order of words: as, “of all vices, impurity is one of the most detestable,” instead of “impurity is one of the most detestable of all vices.”
    • n inversion In rhetoric, a mode of arguing by which the speaker tries to show that the arguments adduced by an opponent tell against his cause and are favorable to the speaker's.
    • n inversion In music: The process, act, or result of transposing the tones of an interval or chord from their original or normal order. The several inversions of a chord are called first, second, and third respectively. See interval, 5, and chord, 4.
    • n inversion The process, act, or result of repeating a subject or theme with all its upward intervals or steps taken downward, and vice versa. Also called imitation by inversion or in contrary motion. (See imitation, 3.) Retrograde inversion, however, is the same as retrograde imitation (which see, under imitation, 3).
    • n inversion In double counterpoint, the transposition of the upper voice-part below the lower, and vice versa. Inversion is the test of the correctness of the composition. The transposition may be either of an octave or of any other interval.
    • n inversion In mathematics: A turning backward; a contrary rule of operation: as, to prove an answer by inversion, as division by multiplication or addition by subtraction.
    • n inversion Change in the order of the terms.
    • n inversion Certain transformations. Also the operation of reversing the direction of every line in a body without altering its length.
    • n inversion In geology, the folding back of strata upon themselves, as by upheaval, in such a way that the order of succession appears reversed.
    • n inversion Milit., a movement in tactics by which the order of companies in line is inverted, the right being on the left, the left on the right, and so on.
    • n inversion In chem., a decomposition of certain sugars and other carbohydrates, induced by the action of a ferment or dilute acid by which the elements of water are added to a carbohydrate, each molecule of which breaks up into two molecules of a different carbohydrate. Thus, cane-sugar in solution, when heated with a dilute acid, takes up water and breaks up into equal parts of dextrose and levulose. See invert-sugar.
    • ***
Chambers's Twentieth Century Dictionary
    • n Inversion the act of inverting: the state of being inverted: a change of order or position
    • ***


  • Aldous Huxley
    “Official dignity tends to increase in inverse ratio to the importance of the country in which the office is held.”
  • C. Northcote Parkinson
    C. Northcote Parkinson
    “The Law of Triviality... briefly stated, it means that the time spent on any item of the agenda will be in inverse proportion to the sum involved.”
  • Bertrand Russell
    “The degree of one's emotions varies inversely with one's knowledge of the facts- the less you know the hotter you get.”
  • Aldous Huxley
    “The quality of moral behavior varies in inverse ratio to the number of human beings involved.”
  • David Searles
    David Searles
    “The tendency of an event to occur varies inversely with one's preparation for it.”
  • Eric Hoffer
    “The compulsion to take ourselves seriously is in inverse proportion to our creative capacity. When the creative flow dries up, all we have left is our importance.”


Webster's Revised Unabridged Dictionary
L. inversio,: cf. F. inversion,. See Invert


In literature:

As a general rule, all parts of the musket are assembled in the inverse order in which they are dismounted.
"Ordnance Instructions for the United States Navy." by Bureau of Ordnance, USN
There are whole passages that exist only in obedience to some scholastic demand for thematic inversions and deformations.
"Musical Portraits" by Paul Rosenfeld
When he quoted the officer's remark to the cab driver, with the German inversion, the colonel chuckled.
"Facing the German Foe" by Colonel James Fiske
The inverse then takes place, and a minimum results.
"Continental Monthly, Vol. 5, No. 6, June, 1864" by Various
Yet time and space are but inverse measures of the force of the soul.
"Real Ghost Stories" by William T. Stead
The fact of the inverse correlation is certain; the explanation is, though very vague, probably correct.
"Form and Function" by E. S. (Edward Stuart) Russell
It requires an artist to employ frequent inversion successfully.
"Knickerbocker, or New-York Monthly Magazine, March 1844" by Various
The principle which Pope proclaimed is susceptible of the inverse application.
"Hours in a Library, Volume I. (of III.)" by Leslie Stephen
Of course this rule of inversion is too simple to hold good in all cases.
"Fantasia of the Unconscious" by D. H. Lawrence
After phrases and clauses which are placed at the beginning of a sentence by inversion.
"Punctuation" by Frederick W. Hamilton
During the cooking process sugars undergo inversion to a slight extent.
"Human Foods and Their Nutritive Value" by Harry Snyder
It was an inversion of aristocracy; in the ideal of it, at least, the last were to be first.
"A Short History of England" by G. K. Chesterton
On this single occasion, however, in my life, the very inverse phenomenon occurred.
"Library of the World's Best Literature, Ancient and Modern — Volume 11" by Various
This inverse variation is very important, though very little realised.
"Eugenics and Other Evils" by G. K. Chesterton
On leaving the ship the inverse order is observed.
"The Armed Forces Officer" by U. S. Department of Defense
The statement is only worth notice as an ingenious inversion of the truth.
"The Life of Sir James Fitzjames Stephen, Bart., K.C.S.I." by Sir Leslie Stephen
Stem mostly obclavate, inversely club-shaped, and reticulate to the base.
"The Mushroom, Edible and Otherwise" by M. E. Hard
The villi are peculiar to these parts; they are inversely conical, adhering to the membrane by their smaller end.
"North American Medical and Surgical Journal, Vol. 2, No. 3, July, 1826" by Various
But perhaps this respite was something in the nature of an inversion of the tempering of the wind.
"The One-Way Trail" by Ridgwell Cullum
Inversely, the individual totem plays a considerable role among these same peoples.
"The Elementary Forms of the Religious Life" by Emile Durkheim

In news:

Inversion over the Wasatch Front Sunday, Dec 18, 2011 looking northwest from South Mountain.
Pierce set fast time on Herald Bulletin night at Anderson Speedway and started sixth in the feature following the inversion.
VelocityShares 3x Inverse Crude ETN (DWTI).
The investment seeks to replicate, net of expenses, three times the opposite ( inverse ) of the S&P GSCI Crude Oil Index ER.
VelocityShares 3x Inverse Natural Gas ETN (DGAZ).
Dollar, Equities Forge Stronger Inverse Ties as Fed Embarks on QE3.
The Inverse of the Animated GIF May Be the Real 'Instagram for Video'.
Gevo, VelocityShares 3x Inverse Natural Gas ETN linked to the S&P GSCI Natural Gas Index Excess Return Among Stocks setting 52-Week Lows Thursday.
1 entry tagged ' inverse floaters'.
Inverse energy cascade may energize Jupiter's jet streams.
Norman Mailer, Warhol's Inverse, Helped Invent Modern Fame.
Claudia Villela/Ricardo Peixoto Inverse Universe Adventure.
The availability of good medical care tends to vary inversely with the need for it in the population served.
Education level inversely related to childbearing.
Which means more cold days, clear skies and, yes, smoggy inversions .

In science:

This is not surprising since the direct method has to explicitly compute the inverse matrix; the inverse of a sparse matrix need not be sparse.
Graph Kernels
See Harville (1997) for more theory and application of the generalized inverse. A generalized inverse of a matrix can be obtained using most standard statistical software.
Multi-center clinical trials: Randomization and ancillary statistics
Table 3 lists distinct virtual strings under this unoriented equivalence and indicates which virtual strings from Table 1 are derived under the operations of reflection, inversion and reflected inversion.
On tabulating virtual strings
We can thus classify virtual strings into five different types depending on their behaviour under the three operations, reflection, inversion and reflected inversion.
On tabulating virtual strings
We remark that symmetries of classical knots also can be classified into five different types depending on whether the knot is equivalent or not to its mirror image, inversion or the mirror image of its inversion.
On tabulating virtual strings
Classification of virtual strings by their behaviour under reflection, inversion and reflected inversion.
On tabulating virtual strings
The inverse Ackermann function is α(n) = min{i : A(i, 1) ≥ n} and the ith -row inverse is λi (n) = min{j : A(i, j ) ≥ n}.
Transitive-Closure Spanners
Definition 8.3 (Arnold’s basic invariants). J + s does not change under the second and third regular homotopy moves or inverse moves but increases (resp. decrease) by 2 under the first regular homotopy move (resp. inverse move).
Finite type invariants of words and Arnold's invariants
Inverse limits of uniform covering maps in general are also investigated as are the inverse limit of group actions that induce uniform covering maps.
Inverse Limits of Uniform Covering Maps
In particular, the inverse limit of a strong Mittag-Leffler inverse system of uniform covering maps over a Hausdorff space is a generalized uniform covering map.
Inverse Limits of Uniform Covering Maps
Suppose there is an inverse system of groups {Gα, ψβα}, an inverse system of uniform spaces {Xα, φβα}, and compatible actions of Gα on Xα that are neutral.
Inverse Limits of Uniform Covering Maps
Suppose there is an inverse system of groups {Gα, ψβα}, an inverse system of uniform spaces {Xα, φβα}, and compatible actions of Gα on Xα that have smal l scale bounded orbits.
Inverse Limits of Uniform Covering Maps
Suppose there is an inverse sequence of uniform spaces {Xi, φi } and a Mittag-Leffler inverse sequence of groups {Gi, ψi} with compatible neutral and free actions of Gi on Xi .
Inverse Limits of Uniform Covering Maps
Suppose there is a Mittag-Leffler inverse sequence of groups {Gi, ψi }, an inverse sequence of Hausdorff uniform spaces {Xi, φi }, and compatible actions of Gi on Xi that are neutral and have smal l scale bounded orbits.
Inverse Limits of Uniform Covering Maps
Inset shows the magnified view around the inflexion. e)Log-log plot of the inverse of χ1 reduced temperature yielding susceptibility exponent λ=0.23 for 2.5% Ga sample. f ) Temperature dependence of the inverse of R at 9Oe ac-field for the 2.5% Al doped sample.
Selective substitution in orbital domains of a low doped manganite : an investigation from Griffiths phenomenon and modification of glassy features