“…The authors suggest the measurement of a quantity which can be interpreted as an 'effective radiation strength' of the jet and which, if QCD is correct, should interpolate between the values of the colour group factors C/sub G/=3 and C/sub F/=/sup 4///sub 3/ when x/sub T/ is varied in the range 0.05<or approximately=x/sub T/<or approximately =0.4. (9 refs).…”
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“…Among the subjects touched upon are Nevanlinna theory in one and several variables, interpolation problems in Cn, estimations and integral representations of the solutions of the Cauchy-Riemann equations, the complex Monge-Ampère equation, geometric problems in complex analysis in Cn, applications of complex analysis to harmonic analysis, partial differential equations.…”
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“…The ATLAS detector at the LHC obtained the sample of p+Pb data at $\sqrt{s_{{}_\mathrm{NN}}}=5.02$ TeV with integrated luminosity 25 nb${}^{-1}$, which can be compared to the pp data obtained by interpolating pp measurements at $\sqrt{s}=2.76$ TeV and 7 TeV. …”
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“…These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, and Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including  applications of computers  to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems, and experimental design.  …”
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“…The Methods, Roots of equations, Interpolation, Solution of simultaneous equations, Eigen values and eigen vectors of symmetric matrices, Solution of first order ordinary differential equations, Solution of second order ordinary differential equations and Solution of partial differential equations. …”
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“…The advection–diffusion section presents the time-dependent problem; mixed interpolation is explained using creeping flows, and elementary computer programs by FORTRAN are included. …”
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“…The book also includes papers on a variety of current topics in Approximation Theory drawn from areas such as advances in kernel approximation with applications, approximation theory and algebraic geometry, multivariate splines for applications, practical function approximation, approximation of PDEs, wavelets and framelets with applications, approximation theory in signal processing, compressive sensing, rational interpolation, spline approximation in isogeometric analysis, approximation of fractional differential equations, numerical integration formulas, and trigonometric polynomial approximation.…”
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“…In particular, we lay down the basis for formulating an interpolation procedure for Nekhoroshev-like diffusive processes and we pro-pose an experimental procedure for measuring the local diffusive behaviour inside an accelerator. …”
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“…Unlike other method used in the past, this technique does not rely on any transfer matrices. Interpolation is possible even to quadrupoles without BPM by assigning ‘virtual BPMs’. …”
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“…We obtain first order equations that determine a supersymmetric kink solution in five-dimensional N=8 gauged supergravity. The kink interpolates between an exterior anti-de Sitter region with maximal supersymmetry and an interior anti-de Sitter region with one quarter of the maximal supersymmetry. …”
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“…I discuss the idea that quantum irreversibility is a general principle of nature and a related "conformal hypothesis", stating that all fundamental quantum field theories should be renormalization-group (RG) interpolations between ultraviolet and infrared conformal fixed points. …”
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“…We also present an interpolating formula for the vertex function $F_{eta^prime g^* g} (q_1^2, 0, m_{eta^prime}^2)$ for the space-like region of the virtuality $q_1^2$, which satisfies the QCD anomaly normalization for on-shell gluons and the perturbative-QCD result for the gluon virtuality $| q_1^2| gtrsim 2$ GeV$^2$.…”
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“…The system provides several interpolation methods from the native grid resolution and structure to a global regular grid linked with the movement tracks in space and time. …”
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“…We used observed and interpolated data to examine temperature, ozone, and mortality in 91 urban and non-urban counties. …”
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“…We also show how customised covariates are more relevant to tick ecology than the widely used set of “Bioclimatic Indicators” (“Biovars”) derived from interpolated datasets, and provide programming scripts to easily calculate them. …”
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“…The sensitivity analysis including increasing IED and reducing interpolation coefficient for time samples was performed. …”
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“…The multivariate data-set (i.e., the age-dependent variations in the amount of sugar and protein ingestion and their relation to egg production) was analyzed using event history charts and 3D interpolation models. Maximum sugar intake was recorded early in adult life; afterwards, ingestion progressively dropped. …”
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“…The aim of this work is to evaluate the performance of a commercial brachytherapy treatment planning system (TPS) with TG‐43 Vendors Input Data (VID), analyze possible discrepancies with respect to a proper reference source and its implications for standard treatments, and judge the effectiveness of certain widespread recommended quality controls to find potential errors related with the interpolations of TG‐43 VID tables. The TPS evaluated was a BrachyVision 8.6 loaded with TG‐43 VID for a VariSource high‐dose‐rate [Formula: see text] source (Vs2000). …”
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“…The Yan’an urban forest was taken as study case, used hybrid spatial interpolation methods based on OK and RK to mapping eight SCPs and the soil fertility in each soil layer (0–20 cm, 20–40 cm, and 40–60 cm) for 285 soil samples. …”
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“…In the regression models, absenteeism data with various lags were used as predictor variables, and missing values in the datasets used for parameter estimation were handled either by deletion or linear interpolation. The epidemic detection methods were compared using a false alarm rate (FAR) as well as a metric for alarm timeliness. …”
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