Reduction, reduced, or reduce may refer to:
Science and technology
Chemistry
*
Reduction (chemistry), part of a reduction-oxidation (redox) reaction in which atoms have their oxidation state changed.
**
Organic redox reaction
Organic reductions or organic oxidations or organic redox reactions are redox reactions that take place with organic compounds. In organic chemistry oxidations and reductions are different from ordinary redox reactions, because many reactions carr ...
, a redox reaction that takes place with organic compounds
** Ore reduction: see
smelting
Computing and algorithms
*
Reduction (complexity), a transformation of one problem into another problem
*
Reduction (recursion theory), 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?
*
Bit Rate Reduction
Bit Rate Reduction, or BRR, also called Bit Rate Reduced, is a name given to
an audio data compression, audio compression method used on the SPC700 sound coprocessor used in the Super Nintendo Entertainment System, SNES, as well as the audio proces ...
, an audio compression method
*
Data reduction, simplifying data in order to facilitate analysis
*
Graph reduction, an efficient version of non-strict evaluation
*
L-reduction, a transformation of optimization problems which keeps the approximability features
*
Partial order reduction, a technique for reducing the size of the state-space to be searched by a model checking algorithm
*
Strength reduction, a compiler optimization where a function of some systematically changing variable is calculated more efficiently by using previous values of the function
*
Variance reduction, a procedure used to increase the precision of the estimates that can be obtained for a given number of iterations
*
Reduce (computer algebra system)
Reduce is a general-purpose computer algebra system geared towards applications in physics.
The development of the Reduce computer algebra system was started in the 1960s by Anthony C. Hearn. Since then, many scientists from all over the world hav ...
, a general-purpose computer algebra system geared towards applications in physics
*
Reduce (higher-order function), in functional programming, a family of higher-order functions that process a data structure in some order and build up a return value
*
Reduced instruction set computing, a CPU design philosophy favoring an instruction set reduced in size and complexity of addressing, to simplify implementation, instruction level parallelism, and compiling
Pure mathematics and statistics
* Reducible as the opposite of
irreducible (mathematics)
*
Reduction (mathematics), the rewriting of an expression into a simpler form
*
Beta reduction, the rewriting of an expression from lambda calculus into a simpler form
*
Dimension reduction, the process of reducing the number of random variables under consideration
*
Lattice reduction, given an integer lattice basis as input, to find a basis with short, nearly orthogonal vectors
*
Subject reduction or preservation, a rewrite of an expression that does not change its type
*
Reduction of order, a technique for solving second-order ordinary differential equations
*
Reduction of the structure group, for a
-bundle
and a map
an
-bundle
such that the pushout
is isomorphic to
*
Reduction system, reduction strategy, the application of rewriting systems to eliminate reducible expressions
*
Reduced form, in statistics, an equation which relates the endogenous variable X to all the available exogenous variables, both those included in the regression of interest (W) and the instruments (Z)
*
Reduced homology, a minor modification made to homology theory in algebraic topology, designed to make a point have all its homology groups zero
*
Reduced product, a construction that generalizes both direct product and ultraproduct
*
Reduced residue system, a set of φ(n) integers such that each integer is relatively prime to n and no two are congruent modulo n
*
Reduced ring, a ring with no non-zero nilpotent elements
*
Reduced row echelon form, a certain reduced row echelon form of a matrix which completely and uniquely determines its row space
*
Reduced word, in a free group, a word with no adjacent generator-inverse pairs
Medicine
Medical procedures
*
Lung volume reduction surgery, a treatment for chronic obstructive pulmonary disease
*
Selective reduction
Selective reduction is the practice of reducing the number of fetuses in a multiple pregnancy, such as quadruplets, to a twin or singleton pregnancy. The procedure is also called multifetal pregnancy reduction. The procedure is most commonly don ...
(or fetal reduction), the practice of reducing the number of fetuses in a multifetal pregnancy
*
Reduction (orthopedic surgery), a medical procedure to restore a fracture or dislocation to the correct alignment
*
Ventricular reduction, a type of operation in cardiac surgery
* Cosmetic surgery:
**
Breast reduction
**
Jaw reduction
Other uses in medicine
*
Weight loss
* In epidemiology:
**
Relative risk reduction, the absolute risk reduction by the control event rate
**
Absolute risk reduction
The risk difference (RD), excess risk, or attributable risk is the difference between the risk of an outcome in the exposed group and the unexposed group. It is computed as I_e - I_u, where I_eis the incidence in the exposed group, and I_u is the ...
, the decrease in risk of a given activity or treatment in relation to a control activity or treatment
*
Urea reduction ratio (URR), a dimensionless number used to quantify hemodialysis treatment adequacy
Physics
*
Dimensional reduction, the limit of a compactified theory where the size of the compact dimension goes to zero
*
Reduction criterion, in quantum information theory, a necessary condition a mixed state must satisfy in order for it to be separable
*
Reduced mass, the "effective" inertial mass appearing in the two-body problem of Newtonian mechanics
*
Reduced properties (pressure, temperature, or volume) of a fluid, defined based on the fluid's critical point
Other uses in science and technology
*
Lithic reduction, in Stone Age toolmaking, to detach lithic flakes from a lump of tool stone
*
Noise reduction
Noise reduction is the process of removing noise from a signal. Noise reduction techniques exist for audio and images. Noise reduction algorithms may distort the signal to some degree. Noise rejection is the ability of a circuit to isolate an und ...
, in acoustic or signal processing
*
Reduction drive, a mechanical device to shift rotational speed
Arts and media
*
''Reducing'' (film), a 1931 American film
*
Reduction (music), music arranged for smaller resources (piano) for easier analysis or performance
Linguistics
*
Accent reduction, modifying one's foreign accent towards that of a native speaker
*
Vowel reduction
In phonetics, vowel reduction is any of various changes in the acoustic ''quality'' of vowels as a result of changes in stress, sonority, duration, loudness, articulation, or position in the word (e.g. for the Creek language
The Muscogee lang ...
, any change in vowel quality perceived as "weakening"
**
Vowel reduction in English
Stress is a prominent feature of the English language, both at the level of the word ''(lexical stress)'' and at the level of the phrase or sentence ''(prosodic stress)''. Absence of stress on a syllable, or on a word in some cases, is frequently ...
*
Relaxed pronunciation, slurring of syllables of common words
*
Definite article reduction, use of vowel-less forms of the English definite article in Northern England
Philosophy
*
Reductionism
Reductionism is any of several related philosophical ideas regarding the associations between phenomena which can be described in terms of other simpler or more fundamental phenomena. It is also described as an intellectual and philosophical pos ...
, a range of philosophical systems
*
Reductio ad absurdum, a form of argument in which a proposition is disproven by following its implications to an absurd consequence
*
Eidetic reduction, a technique in the study of essences in phenomenology whose goal is to identify the basic components of phenomena
*
Intertheoretic reduction, in philosophy of science, one theory makes predictions that perfectly or almost perfectly match the predictions of a second theory
Settlements
*
Reductions
Reductions ( es, reducciones, also called ; , pl. ) were settlements created by Spanish rulers and Roman Catholic missionaries in Spanish America and the Spanish East Indies (the Philippines). In Portuguese-speaking Latin America, such redu ...
, settlements in Spanish America intended to control and Christianize Indians
*
Indian reductions in the Andes, settlements in the Andes to control and Christianize Indians
Other uses
*
Reduction (cooking), the process of thickening or intensifying the flavor of a liquid mixture such as a soup, sauce, wine, or juice by evaporation
*
Reduction (military) A reduction, in military tactics, 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, ...
, the siege and capture of a fortified place
*
Reduction (Sweden), a return to the Crown of fiefs that had been granted to the Swedish nobility
*
Reduce (waste), practices of minimizing waste
*
Reduction, Pennsylvania
Reduction (also Flynns) is an unincorporated community in South Huntingdon Township, Westmoreland County, Pennsylvania. United States. The community is located on the Youghiogheny River
The Youghiogheny River , or the Yough (pronounced Yok ) ...
, unincorporated community, United States
*
Reduction in rank, in military law
*
Reduction to practice, in United States patent law, the embodiment of the concept of an invention
*
Ego reduction The concept of ego reduction is predicated on the use of Sigmund Freud's concept of the ego to describe the conscious adult self; and broadly describes the deflating of an over-inflated or egotistical sense of oneself - a curtailment of what Iris M ...
, predicated on the use of Sigmund Freud's concept of the ego
See also
*
Prevention (disambiguation)
Prevention may refer to:
Health and medicine
* Preventive healthcare, measures to prevent diseases or injuries rather than curing them or treating their symptoms
General safety
* Crime prevention, the attempt to reduce deter crime and crimin ...
*
Risk reduction (disambiguation) Risk reduction may refer to:
* Absolute risk reduction or Relative risk reduction, statistical descriptors of an intervention.
* Risk management
* Disaster Risk Reduction
* Safety Integrity Level
* Hedge (finance)
* Diversification (finance)
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Mathematics disambiguation pages