Economics letters, ISSN 0165-1765, 2019, Volume 182, pp. 109 - 113

Electoral systems struggle to combine proportionality (fair representation) and direct accountability...

Elections | Binary integer programming | Proportional representation | Electoral systems | DISPROPORTIONALITY | ECONOMICS | Economic aspects | Business schools | Local government | Accountability | Voters | Economic development | Optimization

Elections | Binary integer programming | Proportional representation | Electoral systems | DISPROPORTIONALITY | ECONOMICS | Economic aspects | Business schools | Local government | Accountability | Voters | Economic development | Optimization

Journal Article

IEEE transactions on image processing, ISSN 1941-0042, 2019, Volume 28, Issue 7, pp. 3192 - 3204

Signal decomposition is a classical problem in signal processing, which aims to separate an observed signal into two or more components, each with its own...

Image segmentation | Additives | Clustering algorithms | mixed integer programming | Cost function | segmentation | alternating optimization | Signal decomposition | ADMM | Signal resolution | Videos | RECOVERY | ALGORITHM | SPARSE | K-SVD | IMAGE COMPRESSION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Optimization techniques | Decomposition | Algorithms | Separation | Optimization

Image segmentation | Additives | Clustering algorithms | mixed integer programming | Cost function | segmentation | alternating optimization | Signal decomposition | ADMM | Signal resolution | Videos | RECOVERY | ALGORITHM | SPARSE | K-SVD | IMAGE COMPRESSION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Signal processing | Optimization techniques | Decomposition | Algorithms | Separation | Optimization

Journal Article

International Journal of Number Theory, ISSN 1793-0421, 06/2015, Volume 11, Issue 4, pp. 1165 - 1176

Let = {a1 < a2 < a3 < ⋯ < an < ⋯} be an infinite sequence of nonnegative integers and let R2(n) = |{(i, j) : ai + aj = n; ai, aj ∈ ; i ≤ j}|. We define $S_{k}...

monotonicity | Additive representation functions | general sequence | Sidon set | MATHEMATICS | MONOTONICITY PROPERTIES | Mathematics - Number Theory

monotonicity | Additive representation functions | general sequence | Sidon set | MATHEMATICS | MONOTONICITY PROPERTIES | Mathematics - Number Theory

Journal Article

AIChE journal, ISSN 0001-1541, 2016, Volume 62, Issue 9, pp. 3199 - 3214

We present a framework for the efficient representation, generation, and modeling of superstructures for process synthesis...

optimization | mixed‐integer nonlinear programming | mixed-integer nonlinear programming | BRANCH | PROCESS FLOWSHEET SUPERSTRUCTURES | ENGINEERING, CHEMICAL | DISTILLATION SEQUENCES | STRUCTURAL MULTIPLICITY | INTEGRATION | GLOBAL OPTIMIZATION | BOUND ALGORITHM | MINLP OPTIMIZATION | INTEGER NONLINEAR PROGRAMS | REACTOR NETWORKS | Chemical synthesis | Chemical engineering | Rule based | Synthesis (chemistry) | Superstructures | Chemical engineers | Feasibility | Mathematical models | Modelling | Representations

optimization | mixed‐integer nonlinear programming | mixed-integer nonlinear programming | BRANCH | PROCESS FLOWSHEET SUPERSTRUCTURES | ENGINEERING, CHEMICAL | DISTILLATION SEQUENCES | STRUCTURAL MULTIPLICITY | INTEGRATION | GLOBAL OPTIMIZATION | BOUND ALGORITHM | MINLP OPTIMIZATION | INTEGER NONLINEAR PROGRAMS | REACTOR NETWORKS | Chemical synthesis | Chemical engineering | Rule based | Synthesis (chemistry) | Superstructures | Chemical engineers | Feasibility | Mathematical models | Modelling | Representations

Journal Article

International Journal of Electrical Power and Energy Systems, ISSN 0142-0615, 01/2015, Volume 64, pp. 293 - 299

•Distribution systems are modeled as planar graphs.•The proposed model is used to formulate radiality constraint for network optimization.•This formulation is...

Distribution system reconfiguration | Radiality constraint | Dual graph | Planar graph | Mixed-integer programming | Minimum spanning tree | MODEL | LOSS REDUCTION | ENGINEERING, ELECTRICAL & ELECTRONIC | GENETIC ALGORITHMS | DISTRIBUTION NETWORK RECONFIGURATION | LOSS MINIMIZATION | OPTIMIZATION ALGORITHM | IMPROVEMENT | TREE | Networks | Computer simulation | Mathematical analysis | Programming | Graph theory | Representations | Optimization | Reconfiguration

Distribution system reconfiguration | Radiality constraint | Dual graph | Planar graph | Mixed-integer programming | Minimum spanning tree | MODEL | LOSS REDUCTION | ENGINEERING, ELECTRICAL & ELECTRONIC | GENETIC ALGORITHMS | DISTRIBUTION NETWORK RECONFIGURATION | LOSS MINIMIZATION | OPTIMIZATION ALGORITHM | IMPROVEMENT | TREE | Networks | Computer simulation | Mathematical analysis | Programming | Graph theory | Representations | Optimization | Reconfiguration

Journal Article

Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, 11/2018, Volume 165, Issue 3, pp. 533 - 540

... few nonzero digits in its representation in base b.

MATHEMATICS | INTEGER | Digits | Representations | Mathematics - Number Theory

MATHEMATICS | INTEGER | Digits | Representations | Mathematics - Number Theory

Journal Article

Journal of the American Mathematical Society, ISSN 0894-0347, 04/2014, Volume 27, Issue 2, pp. 437 - 477

.... Our classification shows that stable functionals arise from \mathbb{Z}. These automorphisms also appear in the Langlands parameters of epipelagic representations, in accordance...

Integers | Isotropy | Homomorphisms | Algebra | Mathematical theorems | Quotients | Center of gravity | Adjoints | Mathematical vectors | Automorphisms | P-ADIC GROUPS | SUPERCUSPIDAL REPRESENTATIONS | FORMAL DEGREES | MATHEMATICS | REDUCTIVE GROUPS | MINIMAL K-TYPES

Integers | Isotropy | Homomorphisms | Algebra | Mathematical theorems | Quotients | Center of gravity | Adjoints | Mathematical vectors | Automorphisms | P-ADIC GROUPS | SUPERCUSPIDAL REPRESENTATIONS | FORMAL DEGREES | MATHEMATICS | REDUCTIVE GROUPS | MINIMAL K-TYPES

Journal Article

2013, Student mathematical library, ISBN 9780821891766, Volume 67, xiii, 298

Book

Mathematical problems in engineering, ISSN 1563-5147, 2019, Volume 2019, pp. 1 - 9

.... In this paper the algorithm is adapted for finding the sparse representation of signals affected by Laplacian noise...

MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | HEURISTICS | INTEGER | Comparative analysis | Algorithms | Dictionaries | Operations research | Heuristic methods | Linear programming | Optimization | Integer programming | Mixed integer | Sparsity | Applied mathematics | Signal processing | Traveling salesman problem | Feasibility | Representations | Regularization | Mathematical programming

MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | HEURISTICS | INTEGER | Comparative analysis | Algorithms | Dictionaries | Operations research | Heuristic methods | Linear programming | Optimization | Integer programming | Mixed integer | Sparsity | Applied mathematics | Signal processing | Traveling salesman problem | Feasibility | Representations | Regularization | Mathematical programming

Journal Article

Annals of Operations Research, ISSN 0254-5330, 7/2012, Volume 196, Issue 1, pp. 361 - 369

.... Several authors have considered representations of weighted voting games with minimum sum, where the weights and the quota are restricted to be integers...

Business and Management | Realizations with minimum sum | Weighted voting games | Simple games | Theory of Computation | Operation Research/Decision Theory | Minimum realizations | Combinatorics | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | THRESHOLD FUNCTIONS | ENUMERATION | Scheduling (Management) | Research | Voting | Game theory | Studies | Operations research | Integers | Quotas | Classification | Games | Voters | Representations | Mathematics - Combinatorics

Business and Management | Realizations with minimum sum | Weighted voting games | Simple games | Theory of Computation | Operation Research/Decision Theory | Minimum realizations | Combinatorics | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | THRESHOLD FUNCTIONS | ENUMERATION | Scheduling (Management) | Research | Voting | Game theory | Studies | Operations research | Integers | Quotas | Classification | Games | Voters | Representations | Mathematics - Combinatorics

Journal Article

Social Choice and Welfare, ISSN 1432-217X, 2007, Volume 30, Issue 3, pp. 353 - 362

We demonstrate that winner selection in two prominent proportional representation voting systems is a computationally intractable problem...

Integers | Algorithms | Voting | Proportional representation | Political candidates | Transportation | Misrepresentation | Ballots | Polynomials | Transportation costs | Economic Theory | Economics general | Economics / Management Science | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Studies | Elections | Political behavior | Political systems

Integers | Algorithms | Voting | Proportional representation | Political candidates | Transportation | Misrepresentation | Ballots | Polynomials | Transportation costs | Economic Theory | Economics general | Economics / Management Science | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Studies | Elections | Political behavior | Political systems

Journal Article

ACTA ARITHMETICA, ISSN 0065-1036, 2018, Volume 184, Issue 1, pp. 67 - 86

Journal Article

Monatshefte für Mathematik, ISSN 1436-5081, 2018, Volume 188, Issue 1, pp. 109 - 119

We study periodic representations in number systems with an algebraic base $$\beta $$ β (not a rational integer...

11A63 | Mathematics, general | Pisot number | 11K16 | Mathematics | Periodic representation | Salem number | Expansion in non-integer base | 11R04 | MATHEMATICS | PARALLEL ADDITION | Mathematics - Number Theory

11A63 | Mathematics, general | Pisot number | 11K16 | Mathematics | Periodic representation | Salem number | Expansion in non-integer base | 11R04 | MATHEMATICS | PARALLEL ADDITION | Mathematics - Number Theory

Journal Article

Mathematische annalen, ISSN 1432-1807, 2019, Volume 375, Issue 1-2, pp. 133 - 163

...Mathematische Annalen (2019) 375:133–163 https://doi.org/10.1007/s00208-019-01855-y Mathematische Annalen On the representation of integers by binary forms C...

Mathematics, general | Mathematics | Secondary 11D59 | Primary 11D45 | 11E76 | DENSITY | MATHEMATICS | RATIONAL-POINTS | SIEVE METHOD | SUM | NUMBERS | Mathematics - Number Theory

Mathematics, general | Mathematics | Secondary 11D59 | Primary 11D45 | 11E76 | DENSITY | MATHEMATICS | RATIONAL-POINTS | SIEVE METHOD | SUM | NUMBERS | Mathematics - Number Theory

Journal Article

European Journal of Operational Research, ISSN 0377-2217, 03/2014, Volume 233, Issue 3, pp. 739 - 748

.... We propose a new power index based on the minimum sum representation (MSR) of a weighted voting game...

Bicameral meet | Proportional design between shares and power | Rankings | Minimum integer sum representation | power indices | ORDINAL EQUIVALENCE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | GAMES | BANZHAF | SYSTEMS | ACHIEVABLE HIERARCHIES | Minimum integer sum representation power indices | Linear programming | Analysis | Equivalence | Voting | Coherence | Games | Inverse | Operational research | Representations | Redesign | Models matemàtics | Teoria de jocs | Investigació operativa | Classificació AMS | Matemàtiques i estadística | Mathematical models | Power indices | Vot | Àrees temàtiques de la UPC | 91 Game theory, economics, social and behavioral sciences

Bicameral meet | Proportional design between shares and power | Rankings | Minimum integer sum representation | power indices | ORDINAL EQUIVALENCE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | GAMES | BANZHAF | SYSTEMS | ACHIEVABLE HIERARCHIES | Minimum integer sum representation power indices | Linear programming | Analysis | Equivalence | Voting | Coherence | Games | Inverse | Operational research | Representations | Redesign | Models matemàtics | Teoria de jocs | Investigació operativa | Classificació AMS | Matemàtiques i estadística | Mathematical models | Power indices | Vot | Àrees temàtiques de la UPC | 91 Game theory, economics, social and behavioral sciences

Journal Article

Frontiers in Human Neuroscience, ISSN 1662-5161, 01/2012, Issue 2012

Journal Article

Theoretical computer science, ISSN 0304-3975, 2012, Volume 438, pp. 74 - 88

... and any (positive or negative) integer power k. A representation taking (1+ϵ)nlgn+O(1) bits suffices to compute arbitrary powers in constant time, for any positive constant ϵ≤1...

Permutations | Succinct data structures | Space redundancy | Benes network | Functions | Level ancestor queries | Succinct tree representations | ORDINAL TREES | COMPUTER SCIENCE, THEORY & METHODS | FINDING LEVEL-ANCESTORS | Integers | Lower bounds | Mathematical analysis | Redundancy | Mathematical models | Representations | Optimization

Permutations | Succinct data structures | Space redundancy | Benes network | Functions | Level ancestor queries | Succinct tree representations | ORDINAL TREES | COMPUTER SCIENCE, THEORY & METHODS | FINDING LEVEL-ANCESTORS | Integers | Lower bounds | Mathematical analysis | Redundancy | Mathematical models | Representations | Optimization

Journal Article

Transportation Research Part B, ISSN 0191-2615, 11/2019, Volume 129, pp. 351 - 380

•New mathematical model for the pickup and delivery problem with transfers with heterogeneous vehicles and flexible fleet size.•Dynamic programming and...

Cumulative flow count diagrams | Lagrangian heuristics | Dynamic programming | Pickup and delivery problems with transfers | Cumulative service states | BRANCH | NETWORK | CUT | TRANSPORTATION | A-RIDE PROBLEM | EXACT ALGORITHM | MODEL | DYNAMIC-PROGRAMMING APPROACH | LARGE NEIGHBORHOOD SEARCH | ENGINEERING, CIVIL | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TRANSPORTATION SCIENCE & TECHNOLOGY | TIME WINDOWS | ECONOMICS | Route selection | Transportation | Parcels | Synchronism | Handles | Routing | Precedence constraints | Route planning | Synchronization | Vehicles | Integer programming | Windows (intervals) | Algorithms | Transportation networks | Data sets | Standard data | Computer applications | Time synchronization

Cumulative flow count diagrams | Lagrangian heuristics | Dynamic programming | Pickup and delivery problems with transfers | Cumulative service states | BRANCH | NETWORK | CUT | TRANSPORTATION | A-RIDE PROBLEM | EXACT ALGORITHM | MODEL | DYNAMIC-PROGRAMMING APPROACH | LARGE NEIGHBORHOOD SEARCH | ENGINEERING, CIVIL | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TRANSPORTATION SCIENCE & TECHNOLOGY | TIME WINDOWS | ECONOMICS | Route selection | Transportation | Parcels | Synchronism | Handles | Routing | Precedence constraints | Route planning | Synchronization | Vehicles | Integer programming | Windows (intervals) | Algorithms | Transportation networks | Data sets | Standard data | Computer applications | Time synchronization

Journal Article

Mind, ISSN 0026-4423, 4/2008, Volume 117, Issue 466, pp. 329 - 373

The goal of this paper is to develop a theory of content for vague language. My proposal is based on the following three theses: (1) language-mastery is not...

Integers | Globalism | Theoretical linguistics | Toys | Presuppositions | Language | Semantics | Saliency | Pragmatics | PHILOSOPHY | semantic theory | language | semantics | linguistic rules | vagueness | Decision-making | Analysis | Vagueness (Philosophy)

Integers | Globalism | Theoretical linguistics | Toys | Presuppositions | Language | Semantics | Saliency | Pragmatics | PHILOSOPHY | semantic theory | language | semantics | linguistic rules | vagueness | Decision-making | Analysis | Vagueness (Philosophy)

Journal Article

Annals of mathematics, ISSN 0003-486X, 5/2014, Volume 179, Issue 3, pp. 1041 - 1083

...+1 letters under the Burau representation evaluated at d-th roots of unity when n ≥ 2d.

Integers | Mathematical theorems | Algebra | Quotients | Braiding | Linear algebra | Scalars | Mathematical vectors | Mathematical rings | Arithmetic | MATHEMATICS | MONODROMY | ARITHMETIC SUBGROUPS | GENERATORS | Mathematics - Group Theory

Integers | Mathematical theorems | Algebra | Quotients | Braiding | Linear algebra | Scalars | Mathematical vectors | Mathematical rings | Arithmetic | MATHEMATICS | MONODROMY | ARITHMETIC SUBGROUPS | GENERATORS | Mathematics - Group Theory

Journal Article

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