Crossword clues for reduction
reduction
Longman Dictionary of Contemporary English
The Collaborative International Dictionary
Reduction \Re*duc"tion\ (r[-e]*d[u^]k"sh[u^]n), n. [F. r['e]duction, L. reductio. See Reduce.]
The act of reducing, or state of being reduced; conversion to a given state or condition; diminution; conquest; as, the reduction of a body to powder; the reduction of things to order; the reduction of the expenses of government; the reduction of a rebellious province.
(Arith. & Alg.) The act or process of reducing. See Reduce, v. t., 6. and To reduce an equation, To reduce an expression, under Reduce, v. t.
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(Astron.)
The correction of observations for known errors of instruments, etc.
The preparation of the facts and measurements of observations in order to deduce a general result.
The process of making a copy of something, as a figure, design, or draught, on a smaller scale, preserving the proper proportions.
--Fairholt.(Logic) The bringing of a syllogism in one of the so-called imperfect modes into a mode in the first figure.
(Chem. & Metal.) The act, process, or result of reducing[7]; as, the reduction of iron from its ores; the reduction of an aldehyde into an alcohol.
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(Med.) The operation of restoring a dislocated or fractured part to its former place.
Reduction ascending (Arith.), the operation of changing numbers of a lower into others of a higher denomination, as cents to dollars.
Reduction descending (Arith.), the operation of changing numbers of a higher into others of a lower denomination, as dollars to cents.
Syn: Diminution; decrease; abatement; curtailment; subjugation; conquest; subjection.
Douglas Harper's Etymology Dictionary
early 15c., "a restoring to a former state; a subjugation" (of a people, etc.), from Middle French reducion (13c., Modern French réduction) and directly from Latin reductionem (nominative reductio) "a leading back, restoration," noun of action from past participle stem of reducere (see reduce). Meaning "diminution, a lessening" is from 1670s; chemical sense of "reversion to a simpler form" is from 1660s.
Wiktionary
n. 1 The act, process, or result of reducing. 2 The amount or rate by which something is reduced, e.g. in price. 3 (context chemistry English) A reaction in which electrons are gained and valence is reduced; often by the removal of oxygen or the addition of hydrogen. 4 (context cooking English) The process of rapidly boiling a sauce to concentrate it. 5 (context mathematics English) The rewriting of an expression into a simpler form. 6 (context computability theory English) a transformation of one problem into another problem, such as mapping reduction or polynomial reduction. 7 (context music English) An arrangement for a far smaller number of parties, e.g. a keyboard solo based on a full opera. 8 (context philosophy phenomenology English) A philosophical procedure intended to reveal the objects of consciousness as pure phenomena. (See phenomenological reduction.) 9 (context medicine English) A medical procedure to restore a fracture or dislocation to the correct alignment.
WordNet
n. the act of decreasing or reducing something [syn: decrease, diminution, step-down] [ant: increase]
any process in which electrons are added to an atom or ion (as by removing oxygen or adding hydrogen); always occurs accompanied by oxidation of the reducing agent [syn: reducing]
the act of reducing complexity [syn: simplification]
Wikipedia
Reduction, reduced, or reduce may refer to:
In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem. A reduction from one problem to another may be used to show that the second problem is at least as difficult as the first.
Intuitively, problem A is reducible to problem B if an algorithm for solving problem B efficiently (if it existed) could also be used as a subroutine to solve problem A efficiently. When this is true, solving A cannot be harder than solving B. "Harder" means having a higher estimate of the required computational resources in a given context (e.g., higher time complexity, etc.).
We write A ≤ B, usually with a subscript on the ≤ to indicate the type of reduction being used (m : mapping reduction, p : polynomial reduction).
The mathematical structure generated on a set of problems by the reductions of a particular type generally forms a preorder, whose equivalence classes may be used to define degrees of unsolvability and complexity classes.
In mathematics, reduction refers to the rewriting of an expression into a simpler form. For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible (while keeping the numerator an integer) is called "reducing a fraction". Rewriting a radical (or "root") expression with the smallest possible whole number under the radical symbol is called "reducing a radical". Minimizing the number of radicals that appear underneath other radicals in an expression is called denesting radicals.
In music, a reduction is an arrangement or transcription of an existing score or composition in which complexity is lessened to make analysis, performance, or practice easier or more clear; the number of parts may be reduced or rhythm may be simplified, such as through the use of block chords.
The reductions in Sweden were the return to the Crown of the fiefs that had been granted to the Swedish nobility.
The first reduction under Charles X Gustav of Sweden in 1655 restored a quarter of "donations" made after 1632. In the Great Reduction of 1680 under Charles XI of Sweden the Crown recaptured lands earlier granted to the nobility. The reductions had been fought for by gentry, tradesmen, state servants, and peasantry alike, partly as a way to curb the power of the great aristocratic families and partly as a way to make the state solvent and able to pay its debts.
In cooking, reduction is the process of thickening and intensifying the flavor of a liquid mixture such as a soup, sauce, wine, or juice by simmering or boiling.
Reduction is performed by simmering or boiling a liquid such as stock, fruit or vegetable juices, wine, vinegar, or a sauce until the desired volume is reached by evaporation. This is done without a lid, enabling the vapor to escape from the mixture. Different components of the liquid will evaporate at slightly different temperatures, and the goal of reduction is to drive away those with lowest points of evaporation. It thus can be seen as a form of distillation, capturing those components that have the highest boiling point.
While reduction does concentrate the flavors left in the pan, reducing too much will drive away all liquid in the sauce, leaving a "sticky, burnt coating" on the pan.
Reduction is a surgical procedure to restore a fracture or dislocation to the correct alignment. This sense of the term "reduction" does not imply any sort of removal or quantitative decrease but rather implies a restoration: re ("back [to normal]") + ducere ("lead"/"bring"), i.e., "bringing back to normal." When a bone fractures, the fragments lose their alignment in the form of displacement or angulation. For the fractured bone to heal without any deformity the bony fragments must be re-aligned to their normal anatomical position. Orthopedic surgery attempts to recreate the normal anatomy of the fractured bone by reduction of the displacement.
Reduction could be by "closed" or "open" methods.
- Open reduction is where the fracture fragments are exposed surgically by dissecting the tissues.
- Closed reduction is the manipulation of the bone fragments without surgical exposure of the fragments.
Because the process of reduction can briefly be intensely painful, it is commonly done under a short-acting anaesthetic, sedative, or nerve block. Once the fragments are reduced, the reduction is maintained by application of casts, traction or held by plates, screws, or other implants which may in turn be external or internal. It is very important to verify the accuracy of reduction by clinical tests and X-ray, especially in the case with joint dislocations.
In computability theory, many reducibility relations (also called reductions, reducibilities, and notions of reducibility) are studied. They are motivated by the question: given sets A and B of natural numbers, is it possible to effectively convert a method for deciding membership in B into a method for deciding membership in A? If the answer to this question is affirmative then A is said to be reducible to B.
The study of reducibility notions is motivated by the study of decision problems. For many notions of reducibility, if any noncomputable set is reducible to a set A then A must also be noncomputable. This gives a powerful technique for proving that many sets are noncomputable.
In military tactics, a reduction is accomplished when an encircling force conducts successful offensive operations over an invested force. The "reduction" refers to the shrinking in size of the pocket of territory occupied by the invested force, which would appear to be reduced as seen from a map. It is one of the four possible outcomes of investment, the others being relief, surrender or a breakout
Usage examples of "reduction".
Jose Barreda, the Father Provincial of the missions, in a curious letter under date of August 2nd, 1753, tells the Marquis of Valdelirios that he fears not only that the 30,000 Indians resident in the seven towns may rebel, but that they may be joined by the Indians of the other reductions, and that it is possible they may all apostatize and return to the woods.
But the bankrupt had signed the illicit notes with the name of his insolvent firm, and he was therefore able to bring them under the reduction of sixty-five per cent.
Ottolini, the Podesta of Bergamo, an instrument of tyranny in the hands of the State inquisitors, then harassed the people of Bergamo and Brescia, who, after the reduction of Mantua, wished to be separated from Venice.
Taking into account all sets of pitch values related in this way, and even after reduction by means of splitting pitch into absolute and modulo octaves components, such an implementation would require a large number of connections.
It is thought that a reduction in release of methyl sulphide by phytoplankton is the cause of a serious drought along the Pacific seaboard of the American continent, and Maury is trying to collate falls in phytoplankton productivity across the Pacific with low-resolution pictures from European, Australian and Russian weather satellites and reports from cargo ships of sightings of strange dark patches in the Pacific Ocean.
Since the Nation faces a very probable earthquake in California sometime during the next 30 years, FEMA should provide the necessary leadership, management, and coordination required to strengthen planning and preparedness within the Federal Government, as delegated under the National Earthquake Hazards Reduction Program of 1977 and the Disaster Relief Act of 1974.
Additional resources should be provided as necessary to accelerate the earthquake hazard mitigation and preparedness activities under the National Earthquake Hazards Reduction Program.
Merry Duner was intended to suffer a reduction of her emotional attachment to Quant and a heightening of her sympathy towards Ohe.
The income taxes as a percentage of their income of all income groups was reduced, with each of the four lowest quintile groups experiencing greater percentage reductions than those income groups above them.
Marie and I have both memorized portions of a small program that, once created, will extract the virus, portions of the data, and a portion of each of the programs, and recompile it into the Infinite Reductions algorithm.
Every revolt of this kind has been a murder of Literature as signification: all have postulated the reduction of literary discourse to a simple semiological system, or even, in the case of poetry, to a pre-semiological system.
So strong and populous was the city that the Trinobantes, during the years that had elapsed since the Romans took possession of it, remained passive under the yoke of their oppressors, and watched, without attempting to take part in them, the rising of the Iceni and Brigantes, the long and desperate war of the Silures and Ordovices under Caractacus, and the reduction of the Belgae and Dumnonii from Hampshire to Cornwall by Vespasian.
She came to rest on seven-eights weight reduction, and even before the gangplanks were run out, the Kragans were dropping to the flat roof, running to stairhead penthouses and tossing grenades into them.
And the distances, interplanetary, which once had cost lives and the wealth of The World, which were fearful chasms for the primitive drivers, were but winged thoughts for a mote flying at wind velocity, even beating sunward as the computer lowered mass reduction to use the gravity of the sun itself to hasten the fall toward the burning light.
Undoubtedly, but above all a desire to counter any possibility of reduction in the knowledge of the novel to a mere adaptation, or even to a televisual or cinematographic ersatz filled with non-essential elements.