Reduction
(Redirected from Reduction (disambiguation))
Reduction, reduced, or reduce may refer to:
Science and technology
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, 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), 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 (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:
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
Philosophy
- Reduction (philosophy), the process by which one object, property, concept, theory, etc., is shown to be entirely dispensable in favor of another
- Reductionism, 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
Politics and social policy
- Demand reduction, efforts aimed at reducing public desire for illegal and illicit drugs
- Harm reduction, policies designed to reduce the harmful consequences associated with recreational drug use and other high risk activities
- Immigration reduction
- Paperwork reduction, reducing red tape
- Poverty reduction
- Reduced price meal, a reimbursable meal (or snack) served in the United States to a child who qualifies because of low family’s income
- Risk reduction (disambiguation), risk management by reducing the severity of an eventuated risk
- Supply reduction, efforts aimed at disrupting the manufacturing and distribution supply chains for illegal and illicit drugs
See also
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