reduction

Definitions

  • WordNet 3.6
    • n reduction the act of reducing complexity
    • n reduction the act of decreasing or reducing something
    • n reduction 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
    • ***
Webster's Revised Unabridged Dictionary
  • Interesting fact: Milk and cheese can aid in the reduction of tooth decay
    • Reduction 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.
    • Reduction (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.
    • Reduction (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.
    • Reduction (Logic) The bringing of a syllogism in one of the so-called imperfect modes into a mode in the first figure.
    • Reduction (Astron) The correction of observations for known errors of instruments, etc.
    • Reduction (Med) The operation of restoring a dislocated or fractured part to its former place.
    • Reduction (Astron) The preparation of the facts and measurements of observations in order to deduce a general result.
    • Reduction The process of making a copy of something, as a figure, design, or draught, on a smaller scale, preserving the proper proportions.
    • ***
Century Dictionary and Cyclopedia
    • n reduction The act of reducing, or the state of being reduced. The act of bringing back or restoring.
    • n reduction Conversion into another state or form: as, the reduction of a body to powder; the reduction of things to order.
    • n reduction (c.) Diminution: as, the reduction of the expenses of government; the reduction of the national debt; a reduction of 25 per cent. made to wholesale buyers.
    • n reduction Conquest; subjugation: as, the reduction of a province under the power of a foreign nation; the reduction of a fortress.
    • n reduction A settlement or parish of South American Indians converted and trained by the Jesuits.
    • n reduction The bringing of a problem to depend on a problem already solved.
    • n reduction The transformation of an algebraic expression into another of a simpler kind.
    • n reduction The lowering of the values of the numerator and denominator of a fraction, or of the antecedent and consequent of a ratio, by dividing both by the same quantity.
    • n reduction The conversion of a quantity expressed in terms of one denomination so as to express it in terms of another denomination. Ascending reduction is conversion to terms of larger units; descending reduction, conversion to terms of smaller units.
    • n reduction The proof of the conclusion of an indirect syllogism from its premises by means of a direct syllogism and immediate inferences. This is said to be a reduction to the mode of direct syllogism employed.
    • n reduction A direct syllogism proving, by means of conversions and other immediate inferences, that the conclusion of an indirect syllogism follows from its premises.
    • n reduction The act or process of making a copy of a figure, map, design, draft, etc., on a smaller scale, preserving the original proportions; also, the result of this process.
    • n reduction In surg, the operation of restoring a dislocated or fractured bone to its former place.
    • n reduction Separation of a metal from substances combined with it: used especially with reference to lead, zinc, and copper, and also applied to the treatment of iron ore, as when steel is made from it by a direct process.
    • n reduction In astronomy, the correction of observed quantities for instrumental errors, as well as for refraction, parallax, aberration, precession, and nutation, so as to bring out their cosmical significance. A similar process is applied to observations in other physical sciences.
    • n reduction In Scots law, an action for setting aside a deed, writing, etc.
    • n reduction Synonyms Lessening decrease, abatement, curtailment, abridgment, contraction. retrenchment.
    • n reduction In linguistics, the shortening of a word by apocope.
    • n reduction In cytology, the halving of the number of somatic chromosomes during spermatogenesis and oögenesis.
    • ***
Chambers's Twentieth Century Dictionary
    • Reduction act of reducing or state of being reduced: diminution: subjugation: a rule for changing numbers or quantities from one denomination to another
    • ***

Quotations

  • Charles Baudelaire
    Charles%20Baudelaire
    “True Civilization does not lie in gas, nor in steam, nor in turn-tables. It lies in the reduction of the traces of original sin.”

Etymology

Webster's Revised Unabridged Dictionary
F. réduction, L. reductio,. See Reduce
Chambers's Twentieth Century Dictionary
L. reducĕre, reductumre-, back, ducĕre, to lead.

Usage

In literature:

Take the police, for example, the first and most urgent subject for reduction.
"The Framework of Home Rule" by Erskine Childers
A labor, a labor consists in a list, a labor consists in a reduction in minerals, a labor consists in authority.
"Matisse Picasso and Gertrude Stein" by Gertrude Stein
Atlantic, passage across, reduction, 99.
"T. De Witt Talmage" by T. De Witt Talmage
More uncertainty attaches to the reduction of the tract lying south of these deserts.
"The Seven Great Monarchies Of The Ancient Eastern World, Vol 5. (of 7): Persia" by George Rawlinson
The fathers also extended their reductions and conversions to the south of Masinloc.
"The Philippine Islands, 1493-1898, Volume XXI, 1624" by Various
The second fact to be noted is the reduction in amount of the mean variation.
"Harvard Psychological Studies, Volume 1" by Various
However, reduction and immobilization of this as in all fractures, must be done without delay.
"Lameness of the Horse" by John Victor Lacroix
The reduction in cost amounts to $52,811.
"The Water Supply of the El Paso and Southwestern Railway from Carrizozo to Santa Rosa, N. Mex." by J. L. Campbell
The time required for complete reduction was ordinarily about an hour.
"Scientific American Supplement, No. 508, September 26, 1885" by Various
A small amount of reduction from impurity in the glycerin takes place.
"Scientific American Supplement, No. 611, September 17, 1887" by Various
The creditors, on the other hand, naturally approved the reduction of the volume of currency.
"History of the United States" by Charles A. Beard and Mary R. Beard
Henry's dreams were of mightier enterprises than the reduction of the Welsh.
"History of the English People, Volume II (of 8)" by John Richard Green
And summer time is an ideal time to accomplish a reduction of flesh for those who wish to try it.
"Mrs. Wilson's Cook Book" by Mary A. Wilson
The above rule should be particularly regarded in all cases where the drawing is to be subject to much reduction.
"Pen Drawing" by Charles Maginnis
General McLean left Halifax in June with a force for the reduction of Penobscot.
"History of Halifax City" by Thomas B. Akins
The third step in dealing with the shipping problem was a drastic reduction of imports.
"Current History: A Monthly Magazine of the New York Times, May 1918" by Various
The reduction would then have been to a value of 16.9 per cent of the aboriginal level.
"The Aboriginal Population of the San Joaquin Valley, California" by Sherburne F. Cook
The average of the reduction of the rates in these was 43-1/2 per cent.
"Social Transformations of the Victorian Age" by T. H. S. (Thomas Hay Sweet) Escott
The reduction of Charleston, defeat of Gates at Camden.
"The Loyalists of Massachusetts" by James H. Stark
Reduction is effected by the soldering together of two cuneiforms as in the Horse, by the fusion of the navicular and cuboid as in the Deer.
"The Cambridge Natural History, Vol X., Mammalia" by Frank Evers Beddard
***

In poetry:

(To the reduction of uncitied littorals
We brought chiefly the vigor of prophecy,
Our hunger breeding calculation
And fixed triumphs)
"Aeneas At Washington" by Allen Tate

In news:

Second, it should herald a reduction in bureaucracy .
The next plateau is a reduction in the number of systems between platforms and structures, a process already well underway.
During his term, Louisiana's state budget has become $9 billion smaller than when he started, a reduction of 26 percent.
This means a slight reduction in vehicle capacity for the route.
Design, Build, Production: The cost-reduction continuum .
They were recognized for their significant water use reductions, which has also resulted in significant monetary savings.
Readmission Reduction Through Glycemia Management.
Four researchers from Carnegie Mellon University's Green Design Institute discuss their more conservative estimates of greenhouse gas emission reductions in two papers this month.
What Does A Debt-Financed Reduction Of Capital Gains Tax Rates Do " In Theory ".
Support builds for deficit reduction despite commission's inability to reach consensus.
Recently the problem of dimensionality reduction has received a lot of interests in many fields of information processing.
The company has begun restructuring moves that include workforce reductions and outsourcing.
This case study examines the plan, execution and results (97% alarm reduction.
Bond reduction sought in Kiln slayings case.
The workforce reduction will take place in January.
***

In science:

Data reduction was initially implemented using tasks in the Gemini GNIRS IRAF (Image Reduction and Analysis Facility) package.
Fifteen new T dwarfs discovered in the UKIDSS Large Area Survey
The IRCS data was reduced following the same reduction procedures as were used for our NIRI data, but using generic spectral reduction IRAF packages.
Fifteen new T dwarfs discovered in the UKIDSS Large Area Survey
In the special case of an abelian surface X with action by an indefinite quaternion algebra, X has absolutely split reduction at every prime of good reduction.
Split reductions of simple abelian varieties
Note that H ′ cannot be reductive: the largest reductive quotient of H is H/U , but since OH/U can be identified with a subalgebra of σ≤0OH , the group H/U is a nontrivial quotient of H ′ .
Purity and decomposition theorems for staggered sheaves
Instead, it is a linear combination of the vector that comes from the dimensional reduction of the f¨unfbein and the vector that is obtained by the dimensional reduction of the five dimensional graviphoton.
Stable de Sitter Vacua in 4 Dimensional Supergravity Originating from 5 Dimensions
Therefore, ”reduction on the solution of the problem” should be understood as reduction on the solution and the problem.
The quantum speed up as advanced knowledge of the solution
Then ˜G is internal to G in the reduct containing h ˜G, ·i, hG, ·i, π and a predicate for G0 the definably connected component of G (denote this reduct by M′ ).
On central extensions and definably compact groups in o-minimal structures
The same data-reduction pipeline was used, minimizing the introduction of systematic effects due to different reduction methods.
CfA3: 185 Type Ia Supernova Light Curves from the CfA
The data reduction consists of three stages: reduction, calibration and host-galaxy subtraction (where necessary).
CfA3: 185 Type Ia Supernova Light Curves from the CfA
Another easy consequence of Lemma 2.2 is showing that the finiteness of unipotent classes in a disconnected reductive group follows from the result for connected reductive groups.
Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with Applications to Derangements
The reduction using integration-by-parts identities will prove difficult and computationally expensive, so topologies that are zero should not be treated in this way, nor should they be kept in reduction equations of other topologies.
Methods for the Reduction of Three-Loop QCD Form Factors
Figure 4.1: The “hard” 6-propagator topologies appearing in the reduction, i.e. those that are not integrable loop-by-loop or for which no symbolic reduction equations were found.
Methods for the Reduction of Three-Loop QCD Form Factors
Once the reduction of the planar auxiliary topology to master integrals is achieved the reduction of the remaining two auxiliary topologies is clearly the most immediate next step necessary to obtain a complete (gauge invariant) result of the three-loop quark form factor.
Methods for the Reduction of Three-Loop QCD Form Factors
The reduction is then automated to a large degree but a lot of control over the details of the reduction can be maintained if necessary.
Methods for the Reduction of Three-Loop QCD Form Factors
The reduction of this integral is much easier than the reduction of the full amplitude for the form factor: At t = 6 the most difficult integrals that need to be reduced have r = 8 and s = 0.
Methods for the Reduction of Three-Loop QCD Form Factors
***