yusuke1997/dblp-id-title huggingface dataset:
Finding Solutions to the Yang-Baxter-like Matrix Equation for Diagonalizable Coefficient Matrix
The Qualitative and Quantitative Study of Radiation Sources with a Model Configuration of the Electrode System
Sensitivity of KM3NeT to Violation of Equivalence Principle
D-Wave Superconducting Gap Symmetry as a Model for Nb1-xMoxB2 (x = 0.25; 1.0) and WB2 Diborides
One-Dimensional Optimal System for 2D Rotating Ideal Gas
Fixed Point of α-Modular Nonexpanive Mappings in Modular Vector Spaces ℓp(·)
Polyominoes and Polyiamonds as Fundamental Domains for Isohedral Tilings of Crystal Class D 2
Symmetry Detection and Analysis of Chinese Paifang Using 3D Point Clouds
A New Approach for Stabilization Criteria of n-Order Function Differential Equation by Distributed Control Function
Supersymmetric Polynomials on the Space of Absolutely Convergent Series
Dynamic Characteristics Analysis of a Circumferential Short Spring Dual Mass Flywheel with the Influence of Centrifugal Force and Friction
Analytical Model of a Multi-Step Straightening Process for Linear Guideways Considering Neutral Axis Deviation
Optimizing a Password Hashing Function with Hardware-Accelerated Symmetric Encryption
Interpolating Scaling Functions Tau Method for Solving Space-Time Fractional Partial Differential Equations
The Quantum Cosmological Constant
Investigation of the Time-Fractional Generalized Burgers-Fisher Equation via Novel Techniques
Heat Transfer Enhancement in a Novel Annular Tube with Outer Straight and Inner Twisted Oval Tubes
Fuzzy Interpolation with Extensional Fuzzy Numbers
Controllability and Observability Analysis of a Fractional-Order Neutral Pantograph System
Quantisation, Representation and Reduction; How Should We Interpret the Quantum Hamiltonian Constraints of Canonical Gravity?
On (ϕ, ψ)-Metric Spaces with Applications
Numerical Investigation of Aligned Magnetic Flow Comprising Nanoliquid over a Radial Stretchable Surface with Cattaneo-Christov Heat Flux with Entropy Generation
Hermite-Hadamard Inclusions for Co-Ordinated Interval-Valued Functions via Post-Quantum Calculus
Classification of Agriculture Farm Machinery Using Machine Learning and Internet of Things
An Empirical Analysis of Test Input Generation Tools for Android Apps through a Sequence of Events
Position-Aware Guided Hiding Data Scheme with Reversibility and Adaptivity for Dual Images
Wobbling Fractals for The Double Sine-Gordon Equation
Diversity Teams in Soccer League Competition Algorithm for Wireless Sensor Network Deployment Problem
Digital Art Pattern Generation with Arbitrary Quadrilateral Tilings
Automatic Identification and Intelligent Optimization of Tunnel-Free Curve Reconfiguration
Design and Experiment of Symmetrical Shape Deployable Arc Profiling Mechanism Based on Composite Multi-Cam Structure
Investigation of Magneto Hydro-Dynamics Effects on a Polymer Chain Transfer in Micro-Channel Using Dissipative Particle Dynamics Method
Effective Rotor Fault Diagnosis Model Using Multilayer Signal Analysis and Hybrid Genetic Binary Chicken Swarm Optimization
Significance of Bioconvective and Thermally Dissipation Flow of Viscoelastic Nanoparticles with Activation Energy Features: Novel Biofuels Significance
On Some Dynamic (ΔΔ)∇- Gronwall-Bellman-Pachpatte-Type Inequalities on Time Scales and Its Applications
Empirical Bayes Decision for a Generalized Exponential Distribution with Contaminated Data
A New Log-Transform Histogram Equalization Technique for Deep Learning-Based Document Forgery Detection
On Geodesic Behavior of Some Special Curves
Wobbling Motion in Nuclei
Intelligent System Study for Asymmetric Positioning of Personnel, Transport, and Equipment Monitoring in Coal Mines
Linearly Polarized UV Light-Induced Optical Anisotropy of PVA Films and Flexible Macrocycle Schiff Base Ni(II), Cu(II), Zn(II) Dinuclear Complexes
Direct Esthetic Composite Restorations in Anterior Teeth: Managing Symmetry Strategies
Hybrid Second-Order Iterative Algorithm for Orthogonal Projection onto a Parametric Surface
An Artificial Bee Colony with Adaptive Competition for the Unrelated Parallel Machine Scheduling Problem with Additional Resources and Maintenance
Lie Group Classification for a Reduced Burgers System
Task Decomposition Based on Cloud Manufacturing Platform
Modulation Instability of Surface Waves in the Model with the Uniform Wind Profile
New Applications of Gaussian Hypergeometric Function for Developments on Third-Order Differential Subordinations
An Asymmetric Bimodal Double Regression Model
A Numerical Analysis on Gradient Coils in Nuclear Magnetic Resonance for Imaging
Attention Modulated Multiple Object Tracking with Motion Enhancement and Dual Correlation
On Existence Theorems to Symmetric Functional Set-Valued Differential Equations
Utilizing Language Models to Expand Vision-Based Commonsense Knowledge Graphs
q-Rung Orthopair Fuzzy Archimedean Aggregation Operators: Application in the Site Selection for Software Operating Units
A New Sine-Based Distributional Method with Symmetrical and Asymmetrical Natures: Control Chart with Industrial Implication
Particle Flow Simulation of the Strength and Failure Characteristics of a Layered Composite Rock-Like Sample with a Single Hole
Heat and Mass Transfer Gravity Driven Fluid Flow over a Symmetrically-Vertical Plane through Neural Networks
Multi-Criteria Group Decision-Making for Selection of Green Suppliers under Bipolar Fuzzy PROMETHEE Process
Research on the Prediction Model of Sudden Death Risk in Coronary Heart Disease Based on XGBoost and Random Forest
Explicit Properties of q-Cosine and q-Sine Euler Polynomials Containing Symmetric Structures
New Symmetric Differential and Integral Operators Defined in the Complex Domain
A Fuzzy Inference System for Players Evaluation in Multi-Player Sports: The Football Study Case
A Microstructural Study of Cu-10Al-7Ag Shape Memory Alloy in As-Cast and Quenched Conditions
Algorithmic Silver Trading via Fine-Tuned CNN-Based Image Classification and Relative Strength Index-Guided Price Direction Prediction
Fractional Riccati Equation and Its Applications to Rough Heston Model Using Numerical Methods
A Cross-Efficiency Evaluation Method Based on Evaluation Criteria Balanced on Interval Weights
Template-Free Synthesis of a Phenanthroline-Containing [2]Rotaxane: A Reversible pH-Controllable Molecular Switch
Semi-Analytical Solutions of the Rayleigh Oscillator Using Laplace-Adomian Decomposition and Homotopy Perturbation Methods: Insights into Symmetric and Asymmetric Dynamics
Time for Change: Implementation of Aksentijevic-Gibson Complexity in Psychology
A Novel Three-Step Numerical Solver for Physical Models under Fractal Behavior
Influence of Superheated Vapour in Organic Rankine Cycles with Working Fluid R123 Utilizing Low-Temperature Geothermal Resources
An Exploration of Multitasking Scheduling Considering Interruptible Job Assignments, Machine Aging Effects, the Influence of Deteriorating Maintenance, and Symmetry
Pancyclicity of the n-Generalized Prism over Skirted Graphs
A Matching Pursuit Algorithm for Backtracking Regularization Based on Energy Sorting
Some Characterizations for a Quaternion-Valued and Dual Variable Curve
The Effect of Graphene Nanofiller on Electromagnetic-Related Primary Resonance of an Axially Moving Nanocomposite Beam
Orbit Determination of Impulsively Maneuvering Spacecraft Using Adaptive State Noise Compensation
Research on Blockchain Architecture and Operating Principles Based on H-DAG
Kernel-Based Robust Bias-Correction Fuzzy Weighted C-Ordered-Means Clustering Algorithm
Geodesic and Newtonian Vector Fields and Symmetries of Mechanical Systems
A New Radar Signal Recognition Method Based on Optimal Classification Atom and IDCQGA
A New Two-Parameter Discrete Distribution for Overdispersed and Asymmetric Data: Its Properties, Estimation, Regression Model, and Applications
CSVO: Clustered Sparse Voxel Octrees - A Hierarchical Data Structure for Geometry Representation of Voxelized 3D Scenes
Photo-Induced Relief in Rheology of Liquid Crystals
Mechanical Medical Device for Generating Vibration and Stimulation of the Neuron Pathways
Experimental Study on the Characteristics of Wind-Induced Snow Distribution on Structures with Openings
Risk-Neutral Pricing Method of Options Based on Uncertainty Theory
A Structural Credit Risk Model Driven by the Lévy Process under Knightian Uncertainty
Particle Methods Simulations by Kinetic Theory Models of Human Crowds Accounting for Stress Conditions
Two-Round Password-Only Authenticated Key Exchange in the Three-Party Setting
Shearing Deformations of β-Cristobalite-Like Boron Arsenate
Integrated Resolving Functions for Equations with Gerasimov-Caputo Derivatives
Bending Analysis of Symmetrical Porous Functionally Graded Sandwich Panels
Enhancing Knowledge Graph Embedding with Hierarchical Self-Attention and Graph Neural Network Techniques for Drug-Drug Interaction Prediction in Virtual Reality Environments
New Constructions of Quantum Stabilizer Codes Based on Difference Sets
An Innovative Design Approach for Resonant DC/AC Converters, Based on Symmetry in Their Operating Modes
Old Game, New Rules: Rethinking the Form of Physics
Orthogonal-Constrained Graph Non-Negative Matrix Factorization for Clustering
Electro-Optical Characteristics of Quasi-Homogeneous Cell in Twisted Nematic Mode
Construction and Simulation of Composite Measures and Condensation Model for Designing Probabilistic Computational Applications
The Equivalence Conditions of Optimal Feedback Control-Strategy Operators for Zero-Sum Linear Quadratic Stochastic Differential Game with Random Coefficients
Stress Point Monitoring Algorithm for Structure of Steel Cylinder Concrete Pipes in Large Buildings
A Critical Review of Works Pertinent to the Einstein-Bohr Debate and Bell's Theorem
Entropy Estimation of Inverse Weibull Distribution under Adaptive Type-II Progressive Hybrid Censoring Schemes
Tachyons as a Consequence of Light-Cone Reflection Symmetry
Estimation of Hidden Logits Using Several Randomized Response Techniques
The Methods of Determining Temporal Direction Based on Asymmetric Information of the Optic Disc for Optimal Fovea Detection
Simpson's and Newton's Type Inequalities for (α, m)-Convex Functions via Quantum Calculus
Estimation and Prediction for Gompertz Distribution under General Progressive Censoring
A Novel Detection Algorithm for the Icing Status of Transmission Lines
Novel Methods for Multi-Switch Generalized Projective Anti-Synchronization of Fractional Chaotic System Under Caputo-Fabrizio Derivative via Lyapunov Stability Theorem and Adaptive Control
Wind-Induced Vibrations and Gust Response Factors of the Cabin-Cable-Tower System
Mirror Symmetry Is Subject to Crowding
A Stacked Machine Learning-Based Intrusion Detection System for Internal and External Networks in Smart Connected Vehicles
An Efficient Mechanism to Solve Fractional Differential Equations Using Fractional Decomposition Method
Comparative Study of Crossover Mathematical Model of Breast Cancer Based on Ψ-Caputo Derivative and Mittag-Leffler Laws: Numerical Treatments
Complex Linear Diophantine Fuzzy Sets over AG-Groupoids with Applications in Civil Engineering
Optimizing Fractional Routing with Algebraic Transformations, AI, and Quantum Computing for Next-Generation Networks
Non-Degeneracy of 2-Forms and Pfaffian
Numerical Simulation of Principal Stress Axes Rotation in Clay with an Anisotropic Bounding Surface Model Incorporating a Relocatable Mapping Center
Effect and Scientific Verification of Innovative English Teaching and Learning through an International Networking Instructional System
The Determination Risk Level of Manufacturing Process Based on IF-TOPSIS and IF-Fuzzy Logic Rules
Parameter Estimation of Uncertain Moving Average Model Based on Least Squares Principle
Exploring Chaos in Fractional Order Systems: A Study of Constant and Variable-Order Dynamics
A Modified Equation for Thickness of the Film Fabricated by Spin Coating
The Enhanced-Earned Value Management (E-EVM) Model: A Proposal for the Aerospace Industry
Special Issue "Kinetic Theory and Swarming Tools to Modeling Complex Systems - Symmetry problems in the Science of Living Systems" - Editorial and Research Perspectives
Direct Training via Backpropagation for Ultra-Low-Latency Spiking Neural Networks with Multi-Threshold
Bi-Objective Circular Multi-Rail-Guided Vehicle Scheduling Optimization Considering Multi-Type Entry and Delivery Tasks: A Combined Genetic Algorithm and Symmetry Algorithm
Enhancement in Quality Estimation of Resistance Spot Welding Using Vision System and Fuzzy Support Vector Machine
Probabilistic Linguistic Aggregation Operators Based on Einstein t-Norm and t-Conorm and Their Application in Multi-Criteria Group Decision Making
Abundant Traveling Wave and Numerical Solutions of Weakly Dispersive Long Waves Model
Classification of Infrared Objects in Manifold Space Using Kullback-Leibler Divergence of Gaussian Distributions of Image Points
Dynamic Inverse Control of Uncertain Pure Feedback Systems Based on Extended State Observer
Analysis of Electromagnetic Radiation of Mobile Base Stations Co-located with High-Voltage Transmission Towers
A 4+1 Formalism for the Evolving Stueckelberg-Horwitz-Piron Metric
A New Class of Bertrand Curves in Euclidean 4-Space
Chiral Stationary Phases for Liquid Chromatography Based on Chitin- and Chitosan-Derived Marine Polysaccharides
Numerical and Machine Learning Approach for Fe3O4-Au/Blood Hybrid Nanofluid Flow in a Melting/Non-Melting Heat Transfer Surface with Entropy Generation
Quantifying the Effects of Global Warming on the Plankton Population: An Asymmetric Multifactor Mathematical Model-Based Approach
p-Adic q-Twisted Dedekind-Type Sums
Experimental Design for the Lifetime Performance Index of Weibull Products Based on the Progressive Type I Interval Censored Sample
Random Permutations, Non-Decreasing Subsequences and Statistical Independence
Compiler Identification with Divisive Analysis and Support Vector Machine
𝒩-Structures Applied to Commutative Ideals of BCI-Algebras
Fractional Kinetic Models for Drying Using a Semi-Empirical Method in the Framework of Different Types of Kernels
A Novel Global Sensitivity Measure Based on Probability Weighted Moments
Interval Valued T-Spherical Fuzzy Soft Average Aggregation Operators and Their Applications in Multiple-Criteria Decision Making
Some Comments on the Superstability of a General Functional Equation
Parameter Estimation of Uncertain Differential Equations Driven by Threshold Ornstein-Uhlenbeck Process with Application to U.S. Treasury Rate Analysis
General ( α , 2)-Path Sum-Connectivirty Indices of One Important Class of Polycyclic Aromatic Hydrocarbons
Optical Bacteria Recognition: Cross-Polarized Scattering
Vector-Coupled Flight Controller Design Based on Multivariable Backstepping Sliding Mode
Combining the Technology Acceptance Model and Uses and Gratifications Theory to examine the usage behavior of an Augmented Reality Tour-sharing Application
Computational Analysis on the Influence of Normal Force in a Homogeneous Isotropic Microstretch Thermoelastic Diffusive Solid
Rotational Cryptanalysis of MORUS
Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths
Detecting Phase Transitions through Non-Equilibrium Work Fluctuations
Relation Selective Graph Convolutional Network for Skeleton-Based Action Recognition
Astrophysical Sites that Can Produce Enantiomeric Amino Acids
An Improved Transient Search Optimization with Neighborhood Dimensional Learning for Global Optimization Problems
Potential Energy Surfaces for Noble Gas (Ar, Kr, Xe, Rn)-Propylene Oxide Systems: Analytical Formulation and Binding
Loop-Back Quantum Key Distribution (QKD) for Secure and Scalable Multi-Node Quantum Networks
Existence of Three Solutions for a Nonlinear Discrete Boundary Value Problem with ϕc-Laplacian
Handwritten Recognition Techniques: A Comprehensive Review
Convergence Rates of Partial Truncated Numerical Algorithm for Stochastic Age-Dependent Cooperative Lotka-Volterra System
Research on Influence Factors of Bearing Capacity of Concrete-Filled Steel Tubular Arch for Traffic Tunnel
Data-Driven Approach for Spellchecking and Autocorrection
Numerical Solution of the Linear Fractional Delay Differential Equation Using Gauss-Hermite Quadrature
New Approach to Cross-Correlation Reflectometry Diagnostics of Nonlocality of Plasma Turbulence
Finding and Breaking Lie Symmetries: Implications for Structural Identifiability and Observability in Biological Modelling
Ranking of Heritage Building Conversion Alternatives by Applying BIM and MCDM: A Case of Sapieha Palace in Vilnius
A Two-Tier Partition Algorithm for the Optimization of the Large-Scale Simulation of Information Diffusion in Social Networks
Identifying the Level of Symmetrization of Reaction Time According to Manual Lateralization between Team Sports Athletes, Individual Sports Athletes, and Non-Athletes
Symmetric Collaborative Fault-Tolerant Control of Multi-Intelligence under Long-Range Transmission in Air-Ground Integrated Wireless High-Mobility Self-Organizing Networks
Wastewater Plant Reliability Prediction Using the Machine Learning Classification Algorithms
A Review on Some Linear Positive Operators Defined on Triangles
A General Optimal Iterative Scheme with Arbitrary Order of Convergence
Monitoring the Variability in the Process Using Neutrosophic Statistical Interval Method
Focus Assessment Method of Gaze Tracking Camera Based on ε-Support Vector Regression
The Bipartite and Tripartite Entanglement in PT-Symmetric System
Classification of Integrodifferential C∗-Algebras
Magnetic Bands Producing a Monoclinic Magnetic Structure in NiO, FeO, MnO, and a Tetragonal One in CoO
The Helicity of Magnetic Fields Associated with Relativistic Electron Vortex Beams
A New Multi-Attribute Decision-Making Method Based on m -Polar Fuzzy Soft Rough Sets
The Local Theory for Regular Systems in the Context of t -Bonded Sets
Cloud-Based Multi-Robot Path Planning in Complex and Crowded Environment with Multi-Criteria Decision Making using Full Consistency Method
Graceful Local Antimagic Labeling of Graphs: A Pattern Analysis Using Python
Special Issue "Symmetry in Human Evolution, from Biology to Behaviours"
Landau-Lifshitz and Weinberg Energy Distributions for the Static Regular Simpson-Visser Space-Time Geometry
Stellar β- Decay Rates for 63Co and 63Ni by the Projected Shell Model
The Effects of Reduced Gravity and Radiative Heat Transfer on the Magnetohydrodynamic Flow Past a Non-Rotating Stationary Sphere Surrounded by a Porous Medium
A Convex Combination Approach for Mean-Based Variants of Newton's Method
A Fixed Point Theorem in the Lebesgue Spaces of Variable Integrability Lp(·)
Analytically Pricing Formula for Contingent Claim with Polynomial Payoff under ECIR Process
Utilizing Multiple Regression Analysis and Entropy Method for Automated Aesthetic Evaluation of Interface Layouts
A Multi-Scale Residual Attention Network for Retinal Vessel Segmentation
EDITORIAL: Asymmetry Indexes, Behavioral Instability and the Characterization of Behavioral Patterns
Preference for Facial Symmetry Depends on Study Design
Statistical Analysis Under a Random Censoring Scheme with Applications
Energy Conservation Law in Industrial Architecture: An Approach through Geometric Algebra
Multi-Scale Adversarial Feature Learning for Saliency Detection
The Statistical Damage Constitutive Model of the Mechanical Properties of Alkali-Resistant Glass Fiber Reinforced Concrete
Chen Inequalities for Warped Product Pointwise Bi-Slant Submanifolds of Complex Space Forms and Its Applications
Simplified Neutrosophic Exponential Similarity Measures for Evaluation of Smart Port Development
Symmetry-Adapted Domination Indices: The Enhanced Domination Sigma Index and Its Applications in QSPR Studies of Octane and Its Isomers
Integrable Multispecies Totally Asymmetric Stochastic Interacting Particle Systems with Homogeneous Rates
Design of a Long-Pass Filter with Effects on Fluorescence Image Observation for Surgical Fluorescence Microscope Applications
An Assistive Technology for Braille Users to Support Mathematical Learning: A Semantic Retrieval System
Graph Embedding with Similarity Metric Learning
A Numerical Method for Weakly Singular Nonlinear Volterra Integral Equations of the Second Kind
Secure w-Domination in Graphs
Pseudo-Spin Symmetry and the Hints for Unstable and Superheavy Nuclei
Optimization Design and Parameter Analysis of a Wheel with Array Magnets
Flip Extended Visual Cryptography for Gray-Scale and Color Cover Images
Polyhedral Phenylacetylenes: The Interplay of Aromaticity and Antiaromaticity in Convex Graphyne Substructures
Modeling Compressive Strength of Eco-Friendly Volcanic Ash Mortar Using Artificial Neural Networking
On Valency-Based Molecular Topological Descriptors of Subdivision Vertex-Edge Join of Three Graphs
Fuzzy TOPSIS-EW Method with Multi-Granularity Linguistic Assessment Information for Emergency Logistics Performance Evaluation
An Authentication Protocol for the Medical Internet of Things
KD-MSA: A Multimodal Implicit Sentiment Analysis Approach Based on KAN and Asymmetric Contribution-Aware Dynamic Fusion
Deep Convolutional Neural Network Based Analysis of Liver Tissues Using Computed Tomography Images
Enhancing Security in Augmented Reality Through Hash-Based Data Hiding and Hierarchical Authentication Techniques
A Novel Framework for Assessing Facial Attractiveness Based on Facial Proportions
A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications
A Q-Learning-Based Approach for Deploying Dynamic Service Function Chains
Impact of White Noise on the Exact Solutions of the Stochastic Riemann Wave Equation in Quantum Mechanics
SK-PSO: A Particle Swarm Optimization Framework with SOM and K-Means for Inverse Kinematics of Manipulators
A Unified Fuzzy-Based Symmetrical Multi-Criteria Decision-Making Method for Evaluating Sustainable-Security of Web Applications
A Study on Hyperatomic Ordered Semihyperrings
Multiple-Image Encryption Algorithm Based on the 3D Permutation Model and Chaotic System
A New Model for Determining the EOQ under Changing Price Parameters and Reordering Time
State Compensation Model in Adaptive Event-Triggered Predictive Control: A Novel Approach to Mitigating Moving Bottlenecks
Some Existence and Uniqueness Results for a Class of Fractional Stochastic Differential Equations
Group-Theoretic Exploitations of Symmetry in Novel Prestressed Structures
The Meir-Keeler Fixed Point Theorem for Quasi-Metric Spaces and Some Consequences
Target Enclosing Control of Symmetric Unmanned Aerial Vehicle Swarms Based on Crowd Entropy
Smart Contract-Based Pool Hopping Attack Prevention for Blockchain Networks
Identities and Computation Formulas for Combinatorial Numbers Including Negative Order Changhee Polynomials
Prevention of Wave Propagation via Circular Arrangement of Seismic Metamaterials Formed with Concrete Piles
Possibilities of Exploiting Kinetic Control in the Continuous Fractional Crystallization of Diastereomeric Mixtures
Impacts of Viscous Dissipation and Brownian motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis
General Relativistic Stability and Gravitational Wave Content of Rotating Triaxial Neutron Stars
A Survey of Automatic Source Code Summarization
Discrete-Time Pole-Region Robust Controller for Magnetic Levitation Plant
Dihedral Reductions of Cyclic DNA Sequences
The Precision of the Human Hand: Variability in Pinch Strength and Manual Dexterity
Weakly Supervised Object Detection with Symmetry Context
Charging a Dimerized Quantum XY Chain
3D Capsule Hand Pose Estimation Network Based on Structural Relationship Information
Trajectories Derived from Periodic Orbits around the Lagrangian Point L1 and Lunar Swing-Bys: Application in Transfers to Near-Earth Asteroids
Risk Evaluation in Failure Mode and Effects Analysis Using Fuzzy Measure and Fuzzy Integral
The Development of a Fuzzy Logic System in a Stochastic Environment with Normal Distribution Variables for Cash Flow Deficit Detection in Corporate Loan Policy
Study of Dynamical Chiral Symmetry Breaking in (2 + 1) Dimensional Abelian Higgs Model