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Computer Methods for the Range of Functions.

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Universal Intervals
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Solution Strategies
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Finding limiting flows of batch extractive distillation with interval arithmetic
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A Unified Approach to Enclosure Methods for Eigenpairs
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Convergent bounds for the range of multivariate polynomials
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Grid-Based Histogram Arithmetic for the Probabilistic Analysis of Functions
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Global Optimization: p-αBB Approach
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Interval Analysis: Systems of Nonlinear Equations
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A Deterministic Global Optimization Algorithm for Problems with Nonlinear Dynamics
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Deterministic Global Optimization for Protein Structure Prediction
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Affine Arithmetic and Bernstein Hull Methods for Algebraic Curve Drawing
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Lipschitz Optimization
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Sensitivity of Parameters and Loop Structures
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A Branch-and-Prune Method for Global Optimization
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Traditional Parameter Estimation Versus Estimation of Guaranteed Parameter Sets
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Automatic Test Case Generation Using Interval Arithmetic
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Range Functions of Any Convergence Order and Their Amortized Complexity Analysis
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Introduction
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Numerical Computation with Validation
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Interval Arithmetic
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Solving Nonconvex Optimization Problems in Systems and Control: A Polynomial B-spline Approach
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Stability Analysis of a Nonlinear Model of Wastewater Treatment Processes
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A Hybrid Approach Based on Evolutionary Strategies and Interval Arithmetic to Perform Robust Designs
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The Methods for Uncertainty Modeling
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An Interval Method for Global Unconstrained Optimization
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ε-Intervals in Nonsmooth Optimization
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Minkowski Geometric Algebra and the Stability of Characteristic Polynomials
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Algorithmic Differentiation with Intervals
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Advanced Arithmetic for the Digital Computer — Interval Arithmetic Revisited
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The Cluster Problem in Global Optimization: the Univariate Case
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Evaluation of Arithmetic Expressions with Guaranteed High Accuracy
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Interval Arithmetic and Interval Analysis: An Introduction
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Interval analysis and verification of mathematical models
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Inequalities in Circular Arithmetic: A Survey
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Interval Analysis for Embedded Systems
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Experiments using interval analysis for solving a circuit design problem
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The cluster problem in multivariate global optimization
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Finding the likely behaviors of static continuous nonlinear systems
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Inclusion functions and global optimization II
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Inclusion functions and global optimization
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An interval iteration for multiple roots of transcendental equations
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The relationship between a rectangle and a triangle
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Interval method for bounding level sets: Revisited and tested with global optimization problems
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Solving minimax problems by interval methods
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Inclusion isotonicity of circular complex centered forms
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The number of centered forms for a polynomial
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A family of centered forms for a polynomial
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Feature extraction algorithms for constrained global optimization I. Mathematical foundation
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Constructing large feasible suboptimal intervals for constrained nonlinear optimization
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Cord-slope form of Taylor's expansion in univariate global optimization
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An interval method for bounding level sets of parameter estimation problems
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Bounds for eigenvalues of parameter-dependent matrices
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Low complexity k-dimensional centered forms
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A low complexity explicit rational centered form
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On higher order centered forms
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Including iterations for the lambda-matrix eigenproblem
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On the approximation of the range of values by interval expressions
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Interval Newton/generalized bisection when there are singularities near roots
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On a monotone Newton-like method
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Interval Taylor forms
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Approximating CSG trees of moving objects
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Interval approach challenges Monte Carlo simulation
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A sufficient condition for non-overestimation in interval arithmetic
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Preconditioning linearized equations
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On the properties of Sard kernels and multiple error estimates for bounded linear functionals of bivariate functions with application to non-product cubature
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Adaptive Isotopic Approximation of Nonsingular Curves: the Parameterizability and Nonlocal Isotopy Approach
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An Improved Interval Global Optimization Algorithm Using Higher-order Inclusion Function Forms
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A New Inclusion Function for Optimization: Kite ? The One Dimensional Case
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Use of an interval global optimization tool for exploring feasibility of batch extractive distillation
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An efficient algorithm for range computation of polynomials using the Bernstein form
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Constrained global optimization of multivariate polynomials using Bernstein branch and prune algorithm
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The extrapolated interval global optimization algorithm
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On interval branch-and-bound for additively separable functions with common variables
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The cluster problem revisited
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Reverse propagation of McCormick relaxations
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Convergence analysis of multivariate McCormick relaxations
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Convergence-order analysis of branch-and-bound algorithms for constrained problems
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On tightness and anchoring of McCormick and other relaxations
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On new methods to construct lower bounds in simplicial branch and bound based on interval arithmetic
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Planar Location and Design of a New Facility with Inner and Outer Competition: An Interval Lexicographical-like Solution Procedure
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Sharpening Interval Computations
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Solving Interval Constraints by Linearization in Computer-Aided Design
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A Search Algorithm for Calculating Validated Reliability Bounds
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A new subdivision algorithm for the Bernstein polynomial approach to global optimization
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Construction of bode envelopes using REP based range finding algorithms
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Interval adjustable entropy algorithm for a class of unconstrained discrete minimax problems
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An algorithm for constrained global optimization of multivariate polynomials using the Bernstein form and John optimality conditions
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Fast iterative algorithms based on optimized explicit time stepping
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A global optimization method, αBB, for process design
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A new method of evaluating compact geometric bounds for use in subdivision algorithms
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Rational circular complex centered forms
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Methods for bounding the range of a polynomial
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Global optimization to prescribed accuracy
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Interval tools for global optimization
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Enclosure Methods
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Blending implicit interval curves and surfaces
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Non-local isotopic approximation of nonsingular surfaces
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Fast reliable interrogation of procedurally defined implicit surfaces using extended revised affine arithmetic
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SqFreeEVAL: An (almost) optimal real-root isolation algorithm
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Inclusion isotonicity for circular centered forms in several complex variables
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Automatic Differentiation and Applications
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Bibliography on Enclosure Methods and Related Topics
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Interval-based targeting for pollution prevention via mass integration
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Comparison of interval methods for plotting algebraic curves
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Interval analysis: theory and applications
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Interval analysis for guaranteed nonlinear parameter estimation
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Spreadsheets based on interval constraint satisfaction
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Low-Order Controller Design Using Global Optimization
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Blanket Wash Solvent Blend Design Using Interval Analysis
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Guaranteed State and Parameter Estimation for Nonlinear Continuous-Time Systems with Bounded-Error Measurements
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Enhanced Interval Analysis for Phase Stability: Cubic Equation of State Models
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Global Interval Methods for Local Nonsmooth Optimization
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Extended Projection Methods for Monotone Variational Inequalities
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Improving Interval Analysis Bounds by Translations
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Global minimization of univariate functions by sequential polynomial approximation
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A new interval method for locating the boundary of level sets
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Test for intersection between box and tetrahedron
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Self-Validating Computations of Probabilities for Selected Central and Noncentral Univariate Probability Functions
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Estimates for fredholm integral equations
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A framework for semiqualitative reasoning in engineering applications
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On global optimization in R using interval arithmetic
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Robustness in GIS algorithm implementation with application to line simplification
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Using random set theory to calculate reliability bounds for a wing structure
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An Approach for Analysis of Natural Hazard Impacts on Activated Sludge Wastewater Treatment
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Model selection via worst-case criterion for nonlinear bounded-error estimation
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Interval methods for fault-tree analysis in robotics
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Interval methods for modeling uncertainty in RC timing analysis
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Sensitivity to parametric uncertainty in robot impact
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Interval Robust Multi-Objective Evolutionary Algorithm
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Multi-branched diagnostic trees
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A global optimization approach to trajectory planning for industrial robots
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Experimental vehicle localization by bounded-error state estimation using interval analysis
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Interval Estimation of Polynomial Splines of the Fifth Order
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Maintenance optimization under uncertainties using interval methods & evolutionary strategies
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Computational methods for parametric LQ problems--A survey
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Planar Minimization Diagrams via Subdivision with Applications to Anisotropic Voronoi Diagrams
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HIERARCHICAL ARC CONSISTENCY FOR DISJOINT REAL INTERVALS IN CONSTRAINT LOGIC PROGRAMMING
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A GPU-Based Parallel Region Classification Method for Continuous Constraint Satisfaction Problems
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Empirical study of an evaluation-based subdivision algorithm for complex root isolation
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Interval methods for kinetic simulations
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Plantinga-Vegter Algorithm takes Average Polynomial Time
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Certified homotopy tracking using the Krawczyk method
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References
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Targeting Techniques for Enhancing Process Yield
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Διαστηματική ανάλυση και ολική βελτιστοποίηση
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Introduction
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Intersection Tests
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Interval Analysis
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The SCCI-Hybrid Method for 2D-Curve Tracing
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Interval Versions of Bernstein Polynomials, Bézier Curves and the de Casteljau Algorithm
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Robust Computations of Selected Discrete Problems
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Interval Newton Methods
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The Exact Sign of Sum Algorithm (ESSA)
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Automatic differentiation bibliography
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Re-Entry Flight Clearance Using Interval Analysis
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Implementation of Interval Arithmetic in CORA 2016
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Interval based verification of adversarial example free zones for neural networks – Dependency problem
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Interval Mathematics as a Potential Weapon against Uncertainty
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A Numerically Rigorous Proof of Curve Veering in an Eigenvalue Problem for Differential Equations
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Aplicação de metodos de otimização para o calculo do equilibrio termodinamico
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Introduction to the Maple Power Tool Intpakx
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Linear Analog Circuits Problems by Means of Interval Analysis Techniques
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Peer Review #1 of "Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation (v0.1)"
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Peer Review #2 of "Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation (v0.1)"
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Peer Review #3 of "Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation (v0.1)"
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.