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1 system of transition functions
Математика: система функций переходаУниверсальный англо-русский словарь > system of transition functions
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2 system of transition functions
English-Russian scientific dictionary > system of transition functions
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3 system
1) система; комплекс2) совокупность•- absolutely consistent system - absolutely direct indecomposable system - absolutely free system - absolutely irreducible system - absolutely isolated system - allowable coordinate system - almost linear system - ample linear system - artificial feel system - automatic block system - automatic deicing system - binary relational system - binary-coded decimal system - block tooling system - Cartesian coordinate system - completely controllable system - completely ergodic system - completely hyperbolic system - completely identifiable system - completely integrable system - completely irreducible system - completely regular system - completely stable system - completely stratified system - complex number system - conical coordinate system - derivational formal system - differential equation system - differential selsyn system - digital counting system - digital transmission system - elliptic coordinate system - elliptic cylindrical coordinate system - externally inconsistent system - finite state system - finitely axiomatizable system - finitely presented system - fully characteristic quotient system - fundamental system of solutions - hydraulic lift system - integrated switching system - isomorphically embedded system - kernel normal system - linearly dependent system - linearly independent system - live hydraulic system - locking protection system - meteor-burst communication system - modular programming system - parabolic cylindrical coordinate system - permanent four-wheel drive system - pure independent system - radio telephone system - reactor protection system - real number system - receiver-amplifier crioelectric system - remote-cylinder hydraulic system - semantically consistent system - simply consistent system - simply incomplete system - simply ordered system - spherical coordinate system - strongly multiplicative system - structurally stable system - sufficiently general coordinate system - system of frequency curves - system of rational numbers - time multiplex system - time-division multiplex system - uniformly complete system - univalent system of notation - universal system of notation - weakly closed system - weighted number system -
4 система функций перехода
Русско-английский научно-технический словарь Масловского > система функций перехода
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5 система функций перехода
Mathematics: system of transition functionsУниверсальный русско-английский словарь > система функций перехода
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6 function
1) функция, действие || функционировать; действовать- essential functions - routine function - safety-related functions2) функциональное назначение; роль- circuit function - intrinsic function - metering function - primary function - robot function - planning function - service function - support function4) функциональный узел ( машины)5) матем. функциональная зависимость, функция- absolutely additive function - absolutely bounded function - absolutely continuous function - absolutely integrable function - absolutely monotone function - absolutely summable function - absolutely symmetric function - almost complex function - almost continuous function - almost convex function - almost everywhere defined function - almost everywhere finite function - almost invariant function - almost periodic function - almost recursive function - almost separably-valued function - almost separating function - almost universal function - analytically independent function - analytically representable function - approximately differentiable function - asymptotically differentiable function - asymptotically finite function - asymptotically uniformly optimal function - bounded below function - cellwise continuous function - circumferentially mean p-valent function - comparison function - complementary error function - complete analytic function - completely additive function - completely computable function - completely monotone function - completely multiplicative function - completely productive function - completely subadditive function - completely symmetrical function - completely undefined function - complex hyperbolic function - conditional risk function - countably multiplicative function - countably valued function - covariant function - cumulative distribution function - cumulative frequency function - deficiency function - double limit function - doubly periodic function - doubly recursive function - effectively computable function - effectively constant function - effectively decidable function - effectively variable function - elementarily symmetric function - entire function of maximum type - entire function of mean type - entire function of potential type - entire function of zero type - entire rational function - essentially increasing function - essentially integrable function - essentially real function - essentially smooth function - everywhere differentiable function - everywhere smooth function - expansible function - explicitly definable function - exponentially convex function - exponentially decreasing function - exponentially increasing function - exponentially multiplicative function - exponentially vanishing function - finitely mean valent function - finitely measurable function - function of appropriate behavior - function of bounded characteristic - function of bounded type - function of bounded variation - function of complex variable - function of exponential type - function of finite genus - function of finite variation - function of fractional order - function of infinite type - function of integral order - function of maximal type - function of minimal type - function of mixed variables - function of normal type - function of number theory - function of one variable - function of rapid descent - function of rapid growth - function of real variable - general universal function - geometric carrier function - implicitly definable function - incomplete dibeta function - incomplete gamma function - incomplete tribeta function - incompletely defined function - inductively defined function - inductively integrable function - infinitely divisible function - infinitely many-valued function - integral logarithmic function - inverse trigonometric function - inverted beta function - iterative function - joint correlation function - joint density function - linearly separable function - locally bounded function - locally constant function - locally holomorphic function - locally homogeneous function - locally integrable function - locally negligible function - locally regular function - locally summable function - logarithmic generating function - logarithmic integral function - logarithmically infinite function - logarithmically plurisubharmonic function - logarithmically subharmonic function - lower semicontinuous function - monotone non-decreasing function - monotone non-increasing function - multiply periodic function - multiply recursive function - negative definite function - negative infinite function - nontangentially bounded function - normalized function - normed function - nowhere continuous function - nowhere differentiable function - nowhere monotonic function - n-times differentiable function - n-tuply periodic function - numeralwise expressible function - numeralwise representable function - numerical function - numerically valued function - oblate spheroidal function - operating characteristic function - optimal policy function - parametrically definable function - partially symmetric function - piecewise constant function - piecewise continuously differentiable function - piecewise linear function - piecewise monotonic function - piecewise polynomial function - piecewise quadratic function - piecewise regular function - piecewise smooth function - pointwise approximated function - positive homogeneous function - positive infinite function - positive monotone function - positive monotonic function - positive semidefinite function - potentially calculable function - potentially recursive function - power series function - probability generating function - quadratically summable function - rapidly damped function - rapidly decreasing function - rapidly oscillatory function - recursively continuous function - recursively convergent function - recursively defined function - recursively differentiable function - recursively divergent function - recursively extensible function - relative distribution function - relative frequency function - representing function - reproducing kernel function - residual function - residue function - scalarwise integrable function - scalarwise measurable function - sectionally smooth function - simply periodic function - singly recursive function - slowly increasing function - slowly oscillating function - slowly varying function - smoothly varying function - solid spherical harmonic function - solid zonal harmonic function - steadily increasing function - stopped random function - strictly convex function - strictly decreasing function - strictly increasing function - strictly integrable function - strictly monotone function - strongly differentiable function - strongly holomorphic function - strongly integrable function - strongly measurable function - strongly plurisubharmonic function - totally additive function - totally continuous function - totally measurable function - totally multiplicative function - totally positive function - triangular function - uniformly best decision function - uniformly bounded function - uniformly definable function - uniformly differentiable function - uniformly homotopic function - uniformly integrable function - uniformly limited function - uniformly measurable function - uniformly smooth function - unit step function - unitary divisor function - upper measurable function - upper semicontinuous function - weakly analytic function - weakly continuous function - weakly differentiable function - weakly holomorphic function - weakly measurable function - weakly singular function - weighted random functiondomain of a function — область определения функции, область изменения независимой переменной
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7 theory
1) теория•-
Abbe's theory
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Abbe theory
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absolute reaction rate theory
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acid-basic catalysis theory
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adhesive theory of friction
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affinity theory
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age theory
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Airy-Stokes theory
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approximation theory
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Arrhenius theory
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association theory
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automata theory
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automatic control theory
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behavior theory of canals
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boundary-layer interaction theory
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boundary-layer theory
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Bronsted theory
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bunching theory
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catastrophe theory
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chemical graph theory
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chemical kinetics theory
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circuit theory
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coding theory
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combinatorial theory
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communications theory
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communication theory
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constant angle theory of arch dam design
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contact clastohydrodynamic theory
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control theory
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control-system theory
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coordination theory
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Coulomb's wedge theory
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cylinder theory of arch dam design
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delamination theory of wear
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diffraction theory
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diffusion theory
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dispersion theory
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dissociation theory
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donor-acceptor interaction theory
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double shear theory
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drag theory
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effective arch theory
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elastic theory
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elastic wave theory
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elasticity theory
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electromagnetic field theory
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electromagnetic theory
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energetical wear theory
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erosion theory
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estimation theory
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evaporation theory
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fatigue theory of wear
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fatigue theory
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field theory
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filter theory
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flash temperature theory
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Flory theory
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free space theory
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free volume theory
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free-electron theory of metals
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fuzzy-set theory
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game theory
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general theory
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generalized electric machine theory
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graph theory
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gravitational theory
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gravitation theory
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group theory
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handling theory
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hydroxo-complex theory
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imperfection theory
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information theory
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ionic theory
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kinetic theory of gases
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kinetic theory of liquids
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local theory
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logic theory
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long-range stress theory
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magnetic field theory
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magnetotelluric theory
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mapping theory
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mathematical economic theory
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maximum shear theory
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maximum strain energy theory
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Maxwell's electromagnetic theory
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mechanical interlocking friction theory
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membrane theory
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mixing length theory
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model theory
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molecular attraction friction theory
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molecular theory
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molecular-kinetic theory
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molecular-mechanical theory of friction
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mosaic-block theory
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multienergy-group diffusion theory
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multigroup theory
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multiple catalysis theory
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multiple seismometer theory
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network flow theory
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network theory
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nuclear drop theory
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nuclear theory
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number theory
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nutrient theory
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one-speed diffusion theory
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oxidational theory of wear
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oxide-film barrier theory
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oxyacid theory
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oxygen attack theory
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peracid theory of gum formation
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perturbation theory
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plastic collapse theory
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plastic theory
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plasticity theory
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plate theory
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potential field theory
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potential theory
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prediction theory
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probability theory
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quantum field theory
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quantum theory of light
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queueing theory
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queuing theory
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radiometry theory
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Rankine's theory
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ray-path theory
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ray theory
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reflection theory
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refraction theory
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regime theory of rivers
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renewal theory
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scaled-particle theory
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seismic theory
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set theory
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solid-state theory
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solvation theory
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stability theory
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statistical-decision theory
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steady-state creep theory
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superlattice theory
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system theory
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theory of algorithms
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theory of chances
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theory of elasticity
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theory of errors
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theory of failure
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theory of functions
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theory of lateral earth pressure
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theory of limits
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theory of magnetism
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theory of oscillations
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theory of plasticity
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theory of reliability
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theory of scheduling
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theory of screws
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theory of similarity
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theory of specific heats
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theory of stream lines
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theory of strength
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theory of testing
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theory of thermoelastic instability of contact
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theory of vibrations
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thermodiffusion theory
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thermofluctuational strength theory
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tidal-wave theory
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tractive-force theory
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transition state theory
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transport theory
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unified electrical machine theory
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utility theory
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valence bond theory
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valency theory
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variable-radius theory
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wave theory of light
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welding-shearing friction theory
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zone theory of solids -
8 δικαιοσύνη
δικαιοσύνη, ης, ἡ (s. δίκαιος; Theognis, Hdt.+) gener. the quality of being upright. Theognis 1, 147 defines δ. as the sum of all ἀρετή; acc. to Demosth. (20, 165) it is the opp. of κακία. A strict classification of δ. in the NT is complicated by freq. interplay of abstract and concrete aspects drawn from OT and Gr-Rom. cultures, in which a sense of equitableness combines with awareness of responsibility within a social context.① the quality, state, or practice of judicial responsibility w. focus on fairness, justice, equitableness, fairnessⓐ of human beings (a common theme in honorary ins, e.g. IPriene 71, 14f; 22f of a judge named Alexis; Danker, Benefactor 346–48; cp. Aristot., EN 5, 1, 8, 1129a τὸ μὲν δίκαιον ἄρα τὸ νόμιμον καὶ τὸ ἴσον ‘uprightness consists of that which is lawful and fair’; Ath. 34:2 ἔστι δὲ δ. ἴσα ἴσοις ἀμείβειν ‘uprightness means to answer like with like’; for association of δ. with judgment s. also Diog. L. 3, 79; in contexts of praise δ. suggests authority involving juridical responsibility FX 7, ’81, 255 n. 229) δ. κρίσεως ἀρχὴ καὶ τέλος uprightness is the beginning and end of judgment B 1:6. Melchizedek as βασιλεὺς δικαιοσύνης Hb 7:2. ἐργάζεσθαι δικαιοσύνην administer justice Hb 11:33; κρίνειν ἐν δ. (Ps 71:2f; 95:13; Sir 45:26; PsSol 8:24) judge justly Ac 17:31, cp. Mk 16:14 v.l. (Freer ms. line 5 in N. app.); Ro 9:28 v.l. (Is 10:22). ποιεῖν κρίμα καὶ δ. practice justice and uprightness 1 Cl 13:1 (Jer 9:23). καθιστάναι τοὺς ἐπισκοπούς ἐν δ. appoint overseers in uprightness= who will serve justly 1 Cl 42:5 (Is 60:17). David rejoices in God’s δ. 1 Cl 18:15 (Ps 50:16; s. ἀγαλλιάω, end).ⓑ of transcendent figures (Pla. τὴν δ. θεοῦ νόμον ὑπελάμβανεν ‘considered divine justice [i.e. apportionment of reward or retribution in accordance with behavior] a principle’ or ‘system’ that served as a deterrent of crime Diog. L. 3, 79). Of an apocalyptic horseman ἐν δικαιοσύνῃ κρινεῖ Rv 19:11.② quality or state of juridical correctness with focus on redemptive action, righteousness. Equitableness is esp. associated w. God (cp. Paradoxogr. Vat. 43 Keller αἰτεῖται παρὰ τ. θεῶν οὐδὲν ἄλλο πλὴν δικαιοσύνης), and in our lit. freq. in connection w. exercise of executive privilege in conferring a benefit. Hence God’s δ. can be the opposite of condemnation 2 Cor 3:9 (s. below); in it God is revealed as judge Rom 3:5—in contrast to human wrath, which beclouds judgment—displaying judicial integrity 3:25 (on this pass. s. also below). Cp. ἐκάλεσά σε ἐν δ. B 14:7 (Is 42:6). Also of equitable privilege allotted by God 2 Pt 1:1.—In Pauline thought the intimate association of God’s interest in retaining a reputation for justice that rewards goodness and requites evil, while at the same time working out a plan of salvation for all humanity, complicates classification of his use of δικαιοσύνη. On the one hand, God’s δ. is pardoning action, and on the other a way of sharing God’s character with believers, who then exhibit righteousness in the moral sense. God achieves this objective through exercise of executive privilege in dispensing justice equitably without reference to νόμος by making salvation available to all humanity (which shares a common problem of liability to wrath by being unanimously in revolt against God Ro 3:9–18, 23) through faith in God’s action in Jesus Christ. The genitival constr. δ. θεοῦ accents the uniqueness of this δ.: Ro 1:17; 3:21f, 25, 26 (s. these pass. also below; Reumann, 3c end); 10:3, and δ. alone 5:21; 9:30 (3 times); 2 Cor 3:9 (opp. κατάκρισις; cp. Dg 9:3; 5). 2 Cor 5:21 may belong here if δ. is viewed as abstract for concrete=δικαιωθέντες (but s. below). All these refer to righteousness bestowed by God cp. ἡ δωρεὰ τῆς δ. Ro 5:17, also 1 Cor 1:30 (sim. 1QS 11, 9–15; 1QH 4, 30–37). In this area it closely approximates salvation (cp. Is 46:13; 51:5 and s. NSnaith, Distinctive Ideas of the OT ’46, 207–22, esp. 218–22; EKäsemann, ZTK 58, ’61, 367–78 [against him RBultmann, JBL 83, ’64, 12–16]). According to some interpreters hunger and thirst for uprightness Mt 5:6 perh. offers (but s. 3a below) a related eschatological sense (‘Kingdom of God’, FNötscher, Biblica 31, ’50, 237–41=Vom A zum NT, ’62, 226–30).—Keeping the law cannot bring about uprightness Ro 3:21; Gal 2:21; 3:21, because δ. ἐκ τοῦ νόμου uprightness based on the law Ro 10:5 (cp. 9:30f), as ἰδία δ. one’s own (self-made) upr. 10:3, is impossible. God’s δ. without ref. to νόμος is to be apprehended by faith Ro 1:17; 3:22, 26; 4:3ff, 13; 9:30; 10:4, 6, 10 (cp. Hb 11:7 ἡ κατὰ πίστιν δ. righteousness based on faith; s. B-D-F §224, 1), for which reason faith is ‘calculated as righteousness’ (Gen 15:6; Ps 105:31; 1 Macc 2:52) Ro 4:3, 5f, 9, 11, 13, 22; Gal 3:6 (cp. Hb 11:7; Js 2:23; AMeyer, D. Rätsel des Jk 1930, 86ff; 1 Cl 10:6; B 13:7). Of Jesus as our righteousness 1 Cor 1:30.—As gift and power Ro 5:17, 21, and because it is intimately associated with the δύναμις of Christ’s resurrection Phil 3:9f (s. below), this righteousness enables the redeemed to respond and serve God faithfully Ro 6:13 (in wordplay opp. of ἀδικία), 16, 18ff; cp. 1 Cor 1:30 of Christ as instrument of God’s gift of δ.; 2 Cor 3:9. Thus God’s δ. functions as δύναμις 6:7 within Christians 5:21 (i.e. the way God acts in justifying or restoring people to a relationship with God’s self serves as a model for Christian interaction; for a difft. view, s. above) through the Spirit (Ro 8:9) and assures them they will have life that will be fully realized at the end of the age Ro 8:10f; for the time being it is a matter of hope ἐλπὶς δικαιοσύνης Gal 5:5 (cp. Is 51:5); cp. ἡ ἐκ θεοῦ δ. Phil 3:9. Pol 8:1 shares Paul’s view: Christ as ἀρραβὼν τῆς δ.—God’s uprightness as gift τοῦ κυρίου τοῦ ἐφʼ ὑμᾶς στάξαντος τὴν δ. who distills uprightness on you Hv 3, 9, 1.—Such perspectives offer a transition to specific ways in which the redeemed express uprightness.③ the quality or characteristic of upright behavior, uprightness, righteousnessⓐ of uprightness in general: Mt 5:6 (cp. 6:33; some interpret 5:6 in an eschatological sense, s. 2 above; on desire for δ. cp. ἐπιθυμία τῆς δ. Hm 12, 2, 4); Mt 5:10, 20 (s. b, below); Hm 10, 1, 5; Dg 10:8; λόγος δικαιοσύνης Hb 5:13; Pol 9:1 (s. also Epict., Fgm. Stob. 26; when a man is excited by the λόγος in meetings, he should give expression to τὰ τῆς δικαιοσύνης λόγια). πάσχειν διὰ δ. 1 Pt 3:14. ἄγγελος τῆς δ. Hm 6, 2, 1; 3; 8; 10. ῥήματα δ. 8:9. 10, 1, 5; Dg 10:8; Pol 2:3; 3:1; ἐντολὴ δ. commandment of upr. Pol 3:3; 9:1.—Mt 6:33 of the kind of δ. God expects (on δ. as characteristic required by God acc. to Jewish perspective s. Bousset, Rel.3 387ff; 379ff; 423; cp. KFahlgren, Sẹdāḳā, nahestehende u. entgegengesetzte Begriffe im Alten Testament, diss. Uppsala ’32.—S. Diog. L. 3, 83 on Plato’s view of δικαιοσύνη περὶ θεούς or δ. πρὸς τοὺς θεούς=performance of prescribed duties toward gods; s. also ref. to 3, 79 at 1b above). Christ’s δ. Dg 9:3, 5. διαλέγεσθαι περὶ δ. Ac 24:25. Opp. ἀδικία (Hippol., Ref. 4, 43, 12; Did., Gen. 20, 27) 2 Cl 19:2; Dg 9:1. As ἀρετή Hm 1:2; Hs 6, 1, 4; 8, 10, 3. Opp. ἀνομία 2 Cor 6:14; cp. 2 Cor. 11:15 (ironical); Hb 1:9 (Ps 44:8); ἁμαρτία, which is the dominating power before δ. θεοῦ comes into play Ro 6:16, 18–20; cp. 1 Pt 2:24. ἐργάζεσθαι δ. (Ps 14:2) do what is right Ac 10:35; accomplish righteousness Js 1:20 (W-S. §30, 7g); Hv 2, 2, 7; 2, 3, 3; m 5, 1, 1; 12, 3, 1; 12, 6, 2; Hs 9, 13, 7. Also ἔργον δικαιοσύνης ἐργάζεσθαι 1 Cl 33:8. Opp. οὐδὲν ἐργάζεσθαι τῇ δ. Hs 5, 1, 4; ποιεῖν (τὴν) δ. (2 Km 8:15; Ps 105:3; Is 56:1; 58:2; 1 Macc 14:35 al.) do what is right 1J 2:29; 3:7, 10; Rv 22:11; 2 Cl 4:2; 11:7. Also πράσσειν τὴν δ. 2 Cl 19:3; διώκειν τὴν δ. (cp. Sir 27:8 διώκ. τὸ δίκαιον) seek to attain/achieve upr. Ro 9:30; 1 Ti 6:11; 2 Ti 2:22; 2 Cl 18:2; δ. ἀσκεῖν Hm 8:10. ὁδὸς (τῆς) δ. (ὁδός 3ab) Mt 21:32; 2 Pt 2:21; B 1:4; 5:4. προπορεύσεται ἔμπροσθεν σου ἡ δ. 3:4 (Is 58:8); cp. 4:12. κατορθοῦσθαι τὰς ὁδοὺς ἐν δ. walk uprightly Hv 2, 2, 6; τῇ δ. ζήσωμεν live uprightly 1 Pt 2:24. πύλη δ. gate of upr. 1 Cl 48:2 (Ps 117:19), cp. vs. 4. ἐν οἷς δ. κατοικεῖ (cp. Is 32:16) in which righteousness dwells 2 Pt 3:13. Of Christ’s body δικαιοσύνης ναο͂ς AcPlCor 2:17. παιδεία ἡ ἐν δ. training in uprightness 2 Ti 3:16. ἔργα τὰ ἐν δ. righteous deeds Tit 3:5. λαμπρότης ἐν δ. rejoicing in uprightness 1 Cl 35:2; ἐχθρὸς πάσης δ. enemy of every kind of upr. Ac 13:10. W. ὁσιότης (Wsd 9:3): holiness and upr. (as the relig. and moral side of conduct; cp. 1QS 1:5; 8:2; 11:9–15; 1QH 4:30f) Lk 1:75 (λατρεύειν ἐν δ. as Josh 24:14); Eph 4:24; 1 Cl 48:4. W. πίστις (OGI 438, 8; 1 Macc 14:35; Just., D. 110, 3) Pol 9:2; cp. 2 Pt 1:1. With εἰρήνη (Is 39:8; 48:18) and χαρά Ro 14:17; cp. 1 Cl 3:4; Hb 7:2 (but s. 1a, above). W. ἀλήθεια (Is 45:19; 48:1) Eph 5:9; 1 Cl 31:2; 62:2; Hs 9, 25, 2. W. ἀγάπη 2 Cl 12:1. W. ἀγαθωσύνη Eph 5:9. W. ἁγνεία Hs 9, 16, 7. W. γνῶσις κυρίου (cp. Pr 16:8) D 11:2. ὅπλα (τῆς) δ. tools or weapons of uprightness Ro 6:13; 2 Cor 6:7; Pol 4:1; θῶραξ τῆς δ. (Is 59:17; Wsd 5:18) breastplate of upr. Eph 6:14. τέκνα δικαιοσύνης (opp. ὀργῆς) AcPlCor 2:19. διάκονοι δικαιοσύνης servants of upr. 2 Cor 11:15; Pol 5:2; μισθός δ. D 5:2; B 20:2; μέρος δ. portion in (eternal salvation) which is meant for righteousness ApPt Rainer 6; καρπὸς δικαιοσύνης (Pr 3:9; 11:30; 13:2) produce of uprightness (ApcSed 12:5) Phil 1:11; Hb 12:11; Js 3:18; Hs 9, 19, 2; GJs 6:3. ὁ τῆς δ. στέφανος the crown of upr. (w. which the upright are adorned; cp. TestLevi 8:2; Rtzst., Mysterienrel.3 258; a common theme in honorary ins recognizing distinguished public service, s. indexes SIG, OGI and other ins corpora; Danker, Benefactor 345–47; s. also the boast of Augustus, s.v. δίκαιος 1aα) 2 Ti 4:8; cp. ἡ τ. δικαιοσύνης δόξα the glory of upr. ending of Mk in the Freer ms. ln. 11f. Described as a characteristic to be taught and learned, because it depends on a knowledge of God’s will: κῆρυξ δ. preacher of upr. 2 Pt 2:5 (cp. Ar. 15:2 τῇ δ. τοῦ κηρύγματος). διδάσκειν δ. teach upr. (of Paul) 1 Cl 5:7. μέρος τι ἐκ τῆς δ. a portion of uprightness Hv 3, 1, 6; cp. 3, 6, 4; δ. μεγάλην ἐργάζεσθαι m 8:2.—ἐλέγχειν περὶ δικαιοσύνης convict w. regard to uprightness (of Jesus) J 16:8, 10 (s. WHatch, HTR 14, 1921, 103–5; HWindisch: Jülicher Festschr. 1927, 119f; HTribble, Rev. and Expos. 32, ’37, 269–80; BLindars, BRigaux Festschr., ’70, 275–85).ⓑ of specific action righteousness in the sense of fulfilling divine expectation not specifically expressed in ordinances (Orig., C. Cels. 7, 18, 39; Did., Gen. 188, 27: οἱ κατὰ δ. ζῶντες) Mt 3:15=ISm 1:1; of a superior type Mt 5:20 (s. JMoffatt, ET 13, 1902, 201–6, OOlevieri, Biblica 5, 1924, 201ff; Betz, SM 190f); not to win plaudits 6:1. To please outsiders as well as oneself 2 Cl 13:1. W. characteristic restriction of mng. mercy, charitableness (cp. Tob 12:9) of God, whose concern for the poor 2 Cor 9:9 (Ps 111:9) is exemplary for the recipients of the letter vs. 10; participation in such activity belongs, according to Mt 6:1f (cp. δίκαιος 1:19: Joseph combines justice and mercy), to the practice of piety (on the development of the word’s mng. in this direction s. Bousset, Rel.3 380). Pl. (B-D-F §142; W-S. §27, 4d; Rob. 408 δικαιοσύναι righteous deeds (Ezk 3:20; 33:13; Da 9:18) 2 Cl 6:9. δικαιοσύναι righteous deeds (Ezk 3:20; 33:13; Da 9:18; TestAbr A 12 p. 91, 12 [Stone p. 30]) 2 Cl 6:9. ἀρετὴ δικαιοσύνης Hm 1:2; Hs 6, 1, 4; cp. 8, 10, 3.ⓒ uprightness as determined by divine/legal standards δ. θεοῦ upr. that meets God’s standard Js 1:20 (W-S. 30, §7g).—Ro 10:5; Gal 2:21; 3:21; Phil 3:6; 3:9.—ASchmitt, Δικαιοσύνη θεοῦ: JGeffcken Festschr. ’31, 111–31; FHellegers, D. Gerechtigkeit Gottes im Rö., diss. Tüb. ’39; AOepke, TLZ 78, ’53, 257–64.—Dodd 42–59; ADescamps, Studia Hellenistica, ’48, 69–92.—S. also JRopes, Righteousness in the OT and in St. Paul: JBL 22, 1903, 211ff; JGerretsen, Rechtvaardigmaking bij Pls 1905; GottfrKittel, StKr 80, 1907, 217–33; ETobac, Le problème de la Justification dans S. Paul 1908; EDobschütz, Über d. paul. Rechtfertigungslehre: StKr 85, 1912, 38–87; GWetter, D. Vergeltungsged. b. Pls 1912, 161ff; BWestcott, St. Paul and Justification 1913; WMacholz, StKr 88, 1915, 29ff; EBurton ICC, Gal. 1921, 460–74; WMichaelis, Rechtf. aus Glauben b. Pls: Deissmann Festschr. 1927, 116–38; ELohmeyer, Grundlagen d. paul. Theologie 1929, 52ff; HBraun, Gerichtsged. u. Rechtfertigungslehre b. Pls. 1930; OZänker, Δικαιοσύνη θεοῦ b. Pls: ZST 9, ’32, 398–420; FFilson, St. P.’s Conception of Recompense ’31; WGrundmann, ZNW 32, ’33, 52–65; H-DWendland, D. Mitte der paul. Botschaft ’35; RGyllenberg, D. paul. Rechtfertigungslehre u. das AT: Studia Theologica (Riga) I ’35, 35–52; HJager, Rechtvaardiging en zekerheid des geloofs (Ro 1:16f; 3:21–5:11) ’39; HHofer, D. Rechtfertigungsverk. des Pls nach neuerer Forschg. ’40; VTaylor, Forgiveness and Reconciliation ’41; RBultmann, Theologie des NT ’48, 266–80, Eng. tr. KGrobel ’51, I 270–85; SSchulz, ZTK 56, ’59, 155–85 (Qumran and Paul); CMüller, FRL 86, ’64 (Ro 9–11); JBecker, Das Heil Gottes, ’64; PStuhlmacher, Gerechtigkeit Gottes b. Paulus, ’65; JReumann, Int 20, ’66, 432–52 (Ro 3:21–31); HBraun, Qumran II, ’66, 165–80; JZiesler, The Mng. of Righteousness in Paul, ’72; ESanders, Paul and Palestinian Judaism, ’77 (s. index 625; appendix by MBrauch 523–42 rev. of discussions in Germany); SWilliams, JBL 99, ’80, 241–90.—CPerella, De justificatione sec. Hb: Biblica 14, ’33, 1–21; 150–69. S. also the lit. on πίστις and ἁμαρτία.—On the whole word s. RAC X 233–360; AKöberle, Rechtfertigung u. Heiligung 1930; EDNT I 325–30.—DELG s.v. δίκη. M-M. EDNT.TW. Sv.
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