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Algorithms for Computer Algebra

https://doi.org/10.1007/b102438
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Computergestützte Syntheseplanung: Das Ende vom Anfang
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Computer‐Algebra‐Systeme in der Biotechnologie
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High‐performance SIMD modular arithmetic for polynomial evaluation
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Orthogonal designs via computational algebra
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Description of Minimum Weight Codewords of Cyclic Codes by Algebraic Systems
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Complexity of Nilpotent Unification and Matching Problems
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The Complete Analysis of a Polynomial Factorization Algorithm over Finite Fields
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A Gröbner Free Alternative for Polynomial System Solving
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Greatest Factorial Factorization and Symbolic Summation
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Symbolic Solutions for a Class of Partial Differential Equations
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Analysing Finitely Presented Groups by Constructing Representations
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Special Issue on Computational Algebra and Number Theory: Proceedings of the First MAGMA Conference. Foreword of the Guest Editors
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Systems of Algebraic Equations with Bad Reduction
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When are Two Numerical Polynomials Relatively Prime?
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A Fast and Numerically Stable Euclidean-like Algorithm for Detecting Relatively Prime Numerical Polynomials
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Toward Symbolic Integration of Elliptic Integrals
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Algebraic and Symbolic Manipulation of Poisson Series
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Detecting Algebraic Curves in Bad Position
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Predicting Zero Coefficients in Formal Power Series Computations
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Rational Solutions of Riccati-like Partial Differential Equations
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Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language
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The Calculation of Radical Ideals in Positive Characteristic
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Subresultants Revisited
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A Non-redundant and Efficient Architecture for Karatsuba-Ofman Algorithm
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Proving Formally the Implementation of an Efficient gcd Algorithm for Polynomials
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Symbolic Analysis of Imperative Programming Languages
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Notes on Triangular Sets and Triangulation-Decomposition Algorithms I: Polynomial Systems
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Multi-variate Polynomials and Newton-Puiseux Expansions
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Polynomial Constants Are Decidable
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GCD of Many Integers (Extended Abstract)
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Optimized Q-pivot for Exact Linear Solvers
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In-place arithmetic for polynomials over Zn
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Efficient multivariate factorization over finite fields
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Diffie-Hellman Oracles
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F
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Developing Knowledge Representation in Emergency Medical Assistance by Using Semantic Web Techniques
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Appendix C: Tables
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Hyperexponential Antiderivatives
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Gosper’s Algorithm
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The Role of a Symbolic Programming Language in Hardware Verification: The Case of Maple
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Orthogonal Polynomials and Computer Algebra
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Numerical Solution of ODEs
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Problem Solving Environments and Symbolic Computing
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Backward Error Analysis for Perturbation Methods
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MAPLE Computer Algebra System
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A Modified Laguerre Matrix Approach for Burgers–Fisher Type Nonlinear Equations
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Polynomial Factorization in Maple 2019
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Good Pivots for Small Sparse Matrices
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The Complexity and Parallel Implementation of Two Sparse Multivariate Hensel Lifting Algorithms for Polynomial Factorization
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Ocean Surface Waves and Ocean-Atmosphere Interactions
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Subresultant Chains Using Bézout Matrices
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Background and Fundamental Concepts
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The Recurrence Case in One Variable
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The Differential Case in One Variable
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Operators
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Summation and Integration
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Generating Elementary Integrable Expressions
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Multi-Objective and Constrained Reinforcement Learning for IoT
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A Modular Algorithm to Compute the Resultant of Multivariate Polynomials over Algebraic Number Fields Presented with Multiple Extensions
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A Failure Probability Analysis of a Modular Algorithm to Compute the Monic GCD of Multivariate Polynomials over Algebraic Number Fields $${\mathbb {Q}(\alpha _1,\ldots,\alpha _n)}$$
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A New Black Box GCD Algorithm Using Hensel Lifting
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GCDHEU Revisited: Correctness in Multivariate Case and Degree-Aware Variable Ordering
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Look Before You Leap: Checking In on Type Tag Checking
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Some Introductory Remarks on Computer Algebra
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Industrial Applications of Computer Algebra: Climbing Up a Mountain, Going Down a Hill
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String Rewriting and Gröbner Bases — A General Approach to Monoid and Group Rings
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Risch Algorithm
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Linear Algebra
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Input–Output and Strings
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Packages
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Plots
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Trigonometric Functions
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Quantum Oscillator
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Spherical Harmonics
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Classical Nonlinear Oscillator
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Overview of Mathematica
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Quantum Nonlinear Oscillator
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Riemann Curvature Tensor
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Multi-ζ Functions
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Rainbow
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Cyclohexane
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Problems for Students
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Expressions
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Patterns and Substitutions
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Functions
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Mathematica as a Programming Language
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Gröbner Bases
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Calculus
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Numerical Calculations
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Nonparametric Covariate Adjustment for the Youden Index
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Strong Coalitional Structure in an Open Vehicle Routing Game
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Computing Characteristic Polynomials of Matrices of Structured Polynomials
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Using Sparse Interpolation in Hensel Lifting
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Optimal Control of Slender Microswimmers
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Two-Face: New Public Key Multivariate Schemes
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Transparency in Fair Machine Learning: the Case of Explainable Recommender Systems
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Sparse Multivariate Hensel Lifting: A High-Performance Design and Implementation
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Factoring Multivariate Polynomials with Many Factors and Huge Coefficients
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Mathematik und Informatik
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Verified Computer Algebra in Acl2
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Exact Computation of Polynomial Zeros Expressible by Square Roots
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Parallel Real Root Isolation Using the Descartes Method
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Symbolic Computing
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Polynomial Division Using Dynamic Arrays, Heaps, and Packed Exponent Vectors
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Real Algebraic Numbers: Complexity Analysis and Experimentation
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Evaluation of a Java Computer Algebra System
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Multivariate Public Key Cryptography
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Algorithms in Symbolic Computation
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Probabilistic Reachability for Parametric Markov Models
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Lazy and Forgetful Polynomial Arithmetic and Applications
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Mutant Zhuang-Zi Algorithm
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Modular Resultant Algorithm for Graphics Processors
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Generic, Type-Safe and Object Oriented Computer Algebra Software
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Symbolic Computation of Explicit Runge-Kutta Formulas
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Unique Factorization Domains in the Java Computer Algebra System
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Charm Production in Deep Inelastic Scattering
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First Steps Towards a Calculation of $$A_{ij}^{(3)}$$ for all Moments
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An ECG Signal Processing System Based on MATLAB and MIT-BIH
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Parallel Computation of Bivariate Polynomial Resultants on Graphics Processing Units
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Monte Carlo Methods Using New Class of Congruential Generators
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Improving the Berlekamp Algorithm for Binomials x n − a
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Natürliche und ganze Zahlen
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Neighborhoods of an Ordinary Linear Differential Equation
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Decoding Reed-Solomon Codes Beyond Half the Minimum Distance
inferred← citeshttps://doi.org/10.1007/978-3-642-97533-2_19openalex-snapshot
Symbolic Computation of Explicit Runge-Kutta Formulas
inferred← citeshttps://doi.org/10.1007/978-3-642-97619-3_19openalex-snapshot
Symbolic Computation of Explicit Runge-Kutta Formulas
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Symbolic Computation of Explicit Runge-Kutta Formulas
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Gröbner Bases, an Introduction
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A Symbolic Approach to Compute a Null-Space Basis in the Projection Method
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Multi-key Homomorphic Authenticators
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Computer Algebra Software for Scientific Applications
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Huygens’ Principle and MAPLE’s NPspinor Package
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Structured Matrix Based Methods for Approximate Polynomial GCD
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Optimum Design of a Pan-Tilt Drive for Parallel Robots
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Algebraic and Geometric Aspects of the Theory of Polynomial Vector Fields
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Eye Movement Analysis in Biometrics
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Protein Interaction and Disease Gene Prioritization
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CMS Trigger Performance in Run 3
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Utilizing Ant Colony Optimization to Construct an S-Box Based on the 2D Logistic-Sine Coupled Map
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Symbolic Analysis for Parallelizing Compilers
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Frozen orbits for satellites close to an Earth-like planet
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Shirshov composition techniques in Lie superalgebras (noncommutative Gröbner bases)
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Algebraic closure of a rational function
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Hensel construction with an arbitrary degree of convergence
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Solving multivariate algebraic equation by Hensel construction
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Gauss: a parameterized domain of computation system with support for signature functions
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Certified version of Buchberger's algorithm
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Reasoning about coding theory: The benefits we get from computer algebra
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Some performance studies in exact linear algebra
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An analytical near-source shock wave model explaining anomalous periods of volcanic lamb waves: evidence from the 2022 hunga tonga eruption
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NORFOX: An Experimental Fibre-Optic DAS Array for Seismo-Acoustic Monitoring in Norway
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Algebraic independence over positive characteristic: New criterion and applications to locally low-algebraic-rank circuits
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Factorization of Polynomials Given by Arithmetic Branching Programs
inferred← citeshttps://doi.org/10.1007/s00037-025-00268-5openalex-snapshot
On Solving Sparse Polynomial Factorization Related Problems
inferred← citeshttps://doi.org/10.1007/s00138-026-01869-yopenalex-snapshot
Scrap weight prediction for different scrap types based on semantic segmentation and machine learning
inferred← citeshttps://doi.org/10.1007/s001459900028openalex-snapshot
The security of the birational permutation signature schemes
inferred← citeshttps://doi.org/10.1007/s00158-024-03778-yopenalex-snapshot
A cutting plane approach to maximization of fundamental frequency in truss topology optimization
inferred← citeshttps://doi.org/10.1007/s00158-024-03833-8openalex-snapshot
Bayesian optimization with hidden constraints for aircraft design
inferred← citeshttps://doi.org/10.1007/s00170-023-11044-6openalex-snapshot
The constant/variable kinematics adjustment of the crosshead and the mold’s stability management in injection molding
inferred← citeshttps://doi.org/10.1007/s00170-024-12987-0openalex-snapshot
Simple adaptive contouring control for feed drive systems using jerk-based augmented output signal
inferred← citeshttps://doi.org/10.1007/s00170-024-13767-6openalex-snapshot
A pick-and-place process control based on the bootstrapping method for quality enhancement in surface mount technology
inferred← citeshttps://doi.org/10.1007/s00170-024-14839-3openalex-snapshot
Modeling and analysis of hybrid bonded-bolted joining in large-scale aircraft assembly
inferred← citeshttps://doi.org/10.1007/s00170-025-16144-zopenalex-snapshot
Transformer-based path planning for single-arm and dual-arm robots in dynamic environments
inferred← citeshttps://doi.org/10.1007/s00170-025-17344-3openalex-snapshot
Experimental and numerical study of single track formation in the laser powder bed fusion process of AlSi10Mg
inferred← citeshttps://doi.org/10.1007/s002000000037openalex-snapshot
On Short Multiplications and Divisions
inferred← citeshttps://doi.org/10.1007/s002000000038openalex-snapshot
Sampling Boolean Functions over Abelian Groups and Applications
inferred← citeshttps://doi.org/10.1007/s00202-023-02191-wopenalex-snapshot
Selection guidance of electrical actuation with different gearheads for power-off load latching
inferred← citeshttps://doi.org/10.1007/s002080010014openalex-snapshot
Algorithms for Symmetric Differential Systems
inferred← citeshttps://doi.org/10.1007/s00211-017-0917-3openalex-snapshot
On rational functions without Froissart doublets
inferred← citeshttps://doi.org/10.1007/s00226-024-01589-4openalex-snapshot
A lattice model with a progressive damage applied to fracture problems of wood
inferred← citeshttps://doi.org/10.1007/s00287-008-0302-9openalex-snapshot
Integralrechnung und Computeralgebra
inferred← citeshttps://doi.org/10.1007/s00340-023-07971-7openalex-snapshot
Experimental and theoretical investigations on the modulation capabilities of a sample of vertical cavity surface emitting laser diodes for atomic vapour applications
inferred← citeshttps://doi.org/10.1007/s00371-024-03787-4openalex-snapshot
SPS-UNet: a super-pixel sampling UNet for extracting buildings from high-resolution satellite images
inferred← citeshttps://doi.org/10.1007/s00371-026-04371-8openalex-snapshot
DDNC: dual-domain neural compression for high-fidelity dental mesh
inferred← citeshttps://doi.org/10.1007/s00382-024-07318-8openalex-snapshot
Added value of EURO-CORDEX downscaling over the complex orography region of the Pyrenees
inferred← citeshttps://doi.org/10.1007/s00382-024-07512-8openalex-snapshot
The impact of vertical model levels on the prediction of MJO teleconnections. Part II: The stratospheric pathway in the UFS global coupled model
inferred← citeshttps://doi.org/10.1007/s00453-006-0071-2openalex-snapshot
Exact Computation of Polynomial Zeros Expressible by Square Roots
inferred← citeshttps://doi.org/10.1007/s00477-025-03026-9openalex-snapshot
Pirplo: a single-run method for calibrating wildland fire simulations like statistical models
inferred← citeshttps://doi.org/10.1007/s00500-023-09274-7openalex-snapshot
Reliability assessment with uncertain thresholds considering degradation and shock
inferred← citeshttps://doi.org/10.1007/s00500-025-10953-wopenalex-snapshot
Classification of Alzheimer’s disease using advanced deep learning and ensemble techniques
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