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646 Results Found

  • Review
  • Open Access
1 Citations
1,244 Views
78 Pages

11 December 2025

This review examines the role of differential forms, Pfaffian systems, and hypersurfaces in general relativity. These mathematical constructions provide the essential tools for general relativity, in which the curvature of spacetime—described b...

(This article belongs to the Section Gravitation)
  • Article
  • Open Access
3 Citations
2,137 Views
15 Pages

Stability Analysis and Stabilization of General Conformable Polynomial Fuzzy Models with Time Delay

  • Imen Iben Ammar,
  • Hamdi Gassara,
  • Mohamed Rhaima,
  • Lassaad Mchiri and
  • Abdellatif Ben Makhlouf

25 September 2024

This paper introduces a sum-of-squares (S-O-S) approach to Stability Analysis and Stabilization (SAS) of nonlinear dynamical systems described by General Conformable Polynomial Fuzzy (GCPF) models with a time delay. First, we present GCPF models, whi...

(This article belongs to the Section F: Engineering and Materials)
  • Article
  • Open Access
32 Citations
5,615 Views
29 Pages

26 July 2019

In this paper, the ( G ′ / G , 1 / G ) -expansion method is applied to acquire some new, exact solutions of certain interesting, nonlinear, fractional-order partial differential equations arising in mathematical physics. The considered...

  • Article
  • Open Access
2 Citations
1,268 Views
23 Pages

Modeling of Water Resource Dynamics in SUR Systems Through Generalized Conformable Calculus in Arid Sites in Mexico

  • Josué Neftalí Gutierrez-Corona,
  • Luis Alberto Quezada-Téllez,
  • Arturo Torres-Mendoza and
  • Guillermo Fernandez-Anaya

21 December 2024

In this work, we present a comprehensive extension of the Surface–Underground–Recharge (SUR) water supply model through the incorporation of generalized conformable derivatives. This operator enables the capture of more exotic dynamics wi...

(This article belongs to the Topic Depth Averaged Models in Hydraulics: Modeling, Numerics and Applications)
  • Article
  • Open Access
11 Citations
9,234 Views
11 Pages

Entropy Generation in a Mass-Spring-Damper System Using a Conformable Model

  • Jorge M. Cruz-Duarte,
  • J. Juan Rosales-García and
  • C. Rodrigo Correa-Cely

4 March 2020

This article studies the entropy generation of a mass-spring-damper mechanical system, under the conformable fractional operator definition. We perform several simulations by varying the fractional order γ and the damping ratio ζ ...

(This article belongs to the Special Issue Recent Advances in Discrete and Fractional Mathematics)
  • Article
  • Open Access
1 Citations
2,302 Views
24 Pages

20 November 2024

Despite the huge number of studies of the three-body problem in physics and mathematics, the study of this problem remains relevant due to both its wide practical application and taking into account its fundamental importance for the theory of dynami...

  • Article
  • Open Access
9 Citations
2,647 Views
12 Pages

24 November 2020

In many engineering problems associated with various physical phenomena, there occurs a necessity of analysis of signals that are described by multidimensional functions of more than one variable such as time t or space coordinates x, y, z. Therefore...

(This article belongs to the Special Issue Ordinary and Partial Differential Equations: Theory and Applications)
  • Article
  • Open Access
25 Citations
4,482 Views
15 Pages

Intrinsically disordered proteins (IDPs) account for more than 50% of the human proteome and are closely associated with tumors, cardiovascular diseases, and neurodegeneration, which have no fixed three-dimensional structure under physiological condi...

(This article belongs to the Section Molecular Biophysics)
  • Article
  • Open Access
1,715 Views
8 Pages

Conformal Transformations on General (α,β)-Spaces

  • Xiaoling Zhang,
  • Xuesong Zhang and
  • Mengke Wu

2 August 2023

In this paper, we study conformal transformations between two almost regular general (α,β)-metrics. By using the method of special coordinate system, the necessary and sufficient conditions for conformal transformations preserving the mean...

(This article belongs to the Special Issue Differential Geometry: Structures on Manifolds and Submanifolds)
  • Article
  • Open Access
12 Citations
11,390 Views
17 Pages

Prosthetically Guided Orthodontics (PGO): A Personalized Clinical Approach for Aesthetic Solutions Using Digital Technology

  • Pietro Venezia,
  • Vincenzo Ronsivalle,
  • Gaetano Isola,
  • Ferdinando Ruiz and ,
  • Emilia Casiello,
  • Rosalia Leonardi and
  • Antonino Lo Giudice
  • + 2 authors+ 0 author

14 October 2022

Conformative rehabilitation generally involves the treatment of partial dentate or the application of veneers. In this regard, conformative rehabilitation aims to generate an aesthetic prosthetic solution minimizing the amount of tissue removal witho...

(This article belongs to the Special Issue Prevention and Management of Oral Healthcare)
  • Article
  • Open Access
1,957 Views
23 Pages

Bowen’s Formula for a Dynamical Solenoid

  • Andrzej Biś,
  • Wojciech Kozłowski and
  • Agnieszka Marczuk

15 November 2024

More than 50 years ago, Rufus Bowen noticed a natural relation between the ergodic theory and the dimension theory of dynamical systems. He proved a formula, known today as the Bowen’s formula, that relates the Hausdorff dimension of a conforma...

(This article belongs to the Section Statistical Physics)
  • Review
  • Open Access
1 Citations
300 Views
59 Pages

15 June 2026

We review the general formalism of duality rotations for N-extended (super)conformal gauge multiplets of arbitrary (super)spin in four dimensions, with N≥0. Self-dual models for a vector field (N=0) and for N=1 and N=2 vector supermultiplets are n...

(This article belongs to the Section Gravitation)
  • Article
  • Open Access
20 Citations
11,083 Views
16 Pages

The accurate and exhaustive description of the conformational ensemble sampled by small molecules in solution, possibly at different physiological conditions, is of primary interest in many fields of medicinal chemistry and computational biology. Rec...

(This article belongs to the Section Computational Chemistry)
  • Article
  • Open Access
3 Citations
2,250 Views
36 Pages

Conformable Lagrangian Mechanics of Actuated Pendulum

  • Adina Veronica Crişan,
  • Cresus Fonseca de Lima Godinho,
  • Claudio Maia Porto and
  • Ion Vasile Vancea

16 May 2025

In this paper, we construct the conformable actuated pendulum model in the conformable Lagrangian formalism. We solve the equations of motion in the absence of force and in the case of a specific force resulting from torques, which generalizes a well...

(This article belongs to the Special Issue Fractional Calculus Across Physical Scales: From Classical to Quantum Theories in Low- and High-Dimensional Systems)
  • Article
  • Open Access
1 Citations
605 Views
18 Pages

31 August 2026

To mitigate the impact of inaccurate forecasts of electric vehicle charging load and photovoltaic power generation on the operation of PV–storage–charging systems, a risk-aware adaptive conformal rolling-horizon scheduling method is propo...

(This article belongs to the Section E: Electric Vehicles)
  • Article
  • Open Access
1 Citations
2,573 Views
14 Pages

Dynamical Resolution of QM/MM Near-UV Circular Dichroism Spectra of Low-Symmetry Systems

  • Jérémy Morere,
  • Tanguy Leyder,
  • Catherine Michaux,
  • Claude Millot and ,
  • Emmanuelle Bignon and
  • Thibaud Etienne
  • + 1 author+ 0 author

Near-UV circular dichroism (CD) spectroscopy is a widely used method that provides, among others, information about the tertiary structure of biomolecular systems such as proteins, RNA, or DNA. Experimental near-UV CD spectra of proteins reflect the...

(This article belongs to the Section Theoretical and Computational Chemistry)
  • Article
  • Open Access
3 Citations
3,733 Views
13 Pages

Derivation of a Universally Valid Array Factor of a Conformal Arrays Based on Phase Compensation and Genetic Learning Particle Swarm Optimization

  • Jinsu Park,
  • Hong Jun Lim,
  • Son Trinh-Van,
  • Daesung Park and ,
  • Youn Kwon Jung,
  • Dongju Lim and
  • Keum Cheol Hwang
  • + 2 authors+ 0 author

27 June 2022

In this study, we investigated the recent deterioration of the radiation pattern performance of conformal arrays, which are applied to fields such as aircraft and vehicles. We analyzed the radiation pattern of conformal arrays in the array factor sta...

(This article belongs to the Collection Electromagnetic Antennas for HF, VHF, and UHF Band Applications)
  • Article
  • Open Access
8 Citations
3,862 Views
23 Pages

22 September 2023

Conformance monitoring supports UTM safety by observing if unmanned aircraft (UA) are adhering to declared operational intent. As a supporting system, robust cooperative tracking is critical. Nevertheless, tracking systems for UAS traffic management...

(This article belongs to the Special Issue Autonomous Flight of Drone: Control, Trajectory Optimization and Mission Planning)
  • Article
  • Open Access
1 Citations
1,185 Views
21 Pages

15 April 2025

Individuals can learn about others from sources far from them, and conformity can operate not only on a local scale but also on a global scale. This study aimed to investigate the influence of conformity and global learning on social systems of coope...

(This article belongs to the Section Systems Practice in Social Science)
  • Article
  • Open Access
4 Citations
4,354 Views
13 Pages

13 October 2022

Entropy of multivariate distributions may be estimated based on the distances of nearest neighbours from each sample from a statistical ensemble. This technique has been applied on biomolecular systems for estimating both conformational and translati...

(This article belongs to the Collection Feature Papers in Biophysics)
  • Article
  • Open Access
1 Citations
4,085 Views
12 Pages

Synthesis and Effect of Conformationally Locked Carbocyclic Guanine Nucleotides on Dynamin

  • Kiran S. Toti,
  • John R. Jimah,
  • Veronica Salmaso,
  • Jenny E. Hinshaw and
  • Kenneth A. Jacobson

16 April 2022

Guanine nucleotides can flip between a North and South conformation in the ribose moiety. To test the enzymatic activity of GTPases bound to nucleotides in the two conformations, we generated methanocarba guanine nucleotides in the North or South env...

(This article belongs to the Special Issue Pharmacology of Purinergic Receptors—Honorary Special Issue Dedicated to Prof. Pier Andrea Borea)
  • Article
  • Open Access
11 Citations
6,097 Views
25 Pages

A Practical Perspective: The Effect of Ligand Conformers on the Negative Image-Based Screening

  • Mira Ahinko,
  • Sami T. Kurkinen,
  • Sanna P. Niinivehmas,
  • Olli T. Pentikäinen and
  • Pekka A. Postila

Negative image-based (NIB) screening is a rigid molecular docking methodology that can also be employed in docking rescoring. During the NIB screening, a negative image is generated based on the target protein’s ligand-binding cavity by inverti...

(This article belongs to the Special Issue Recent Advances in Virtual Screening)
  • Article
  • Open Access
4 Citations
3,912 Views
18 Pages

Beamforming with 1 × N Conformal Arrays

  • Irfan Ullah,
  • Benjamin D. Braaten,
  • Adnan Iftikhar,
  • Symeon Nikolaou and
  • Dimitris E. Anagnostou

1 September 2022

The rapid growth of wireless spectrum access through cellular and IoT devices, for example, requires antennas with more capabilities such as being conformal and self-adapting beamforming. In this paper, the adaptive beamforming patterns of microstrip...

(This article belongs to the Topic Antennas)
  • Article
  • Open Access
21 Citations
4,112 Views
22 Pages

PAMAM-Calix-Dendrimers: Second Generation Synthesis, Fluorescent Properties and Catecholamines Binding

  • Olga Mostovaya,
  • Igor Shiabiev,
  • Dmitry Pysin,
  • Alesia Stanavaya and ,
  • Viktar Abashkin,
  • Dzmitry Shcharbin,
  • Pavel Padnya and
  • Ivan Stoikov
  • + 3 authors+ 0 author

A convenient method for the synthesis of the second generation of PAMAM dendrimers based on a p-tert-butylthiacalix[4]arene core in cone, partial cone and 1,3-alternate conformations was developed. Unusual fluorescence of the obtained PAMAM-calix-den...

(This article belongs to the Section Drug Delivery and Controlled Release)
  • Article
  • Open Access
11 Citations
3,414 Views
15 Pages

PAMAM-Calix-Dendrimers: Third Generation Synthesis and Impact of Generation and Macrocyclic Core Conformation on Hemotoxicity and Calf Thymus DNA Binding

  • Olga Mostovaya,
  • Igor Shiabiev,
  • Daniil Ovchinnikov,
  • Dmitry Pysin and ,
  • Timur Mukhametzyanov,
  • Alesia Stanavaya,
  • Viktar Abashkin,
  • Dzmitry Shcharbin,
  • Arthur Khannanov and
  • Ivan Stoikov
  • + 9 authors+ 4 authors

Background/Objectives: Current promising treatments for many diseases are based on the use of therapeutic nucleic acids, including DNA. However, the list of nanocarriers is limited due to their low biocompatibility, high cost, and toxicity. The desig...

(This article belongs to the Section Nanomedicine and Nanotechnology)
  • Article
  • Open Access
35 Citations
4,187 Views
17 Pages

19 October 2020

Tool condition monitoring is one of the classical problems of manufacturing that is yet to see a solution that can be implementable in machine shops around the world. In tool condition monitoring, we are mostly trying to define a tool change policy....

(This article belongs to the Special Issue Machining Dynamics and Parameters Process Optimization)
  • Article
  • Open Access
7 Citations
4,672 Views
15 Pages

Analysis of Conformational Preferences in Caffeine

  • Sara Gómez,
  • Natalia Rojas-Valencia and
  • Albeiro Restrepo

17 March 2022

High level DLPNO–CCSD(T) electronic structure calculations with extended basis sets over B3LYP–D3 optimized geometries indicate that the three methyl groups in caffeine overcome steric hindrance to adopt uncommon conformations, each one p...

(This article belongs to the Special Issue Chemical Bonding and Valency: A Special Issue Celebrating the 80th Birthday of Prof. Frank Weinhold)
  • Article
  • Open Access
14 Citations
5,150 Views
23 Pages

3 June 2022

The still prevalent use of paper conformity lists in the automotive industry has a serious negative impact on the performance of quality control inspectors. We propose instead a hybrid quality inspection system, where we combine automated detection w...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
2 Citations
4,809 Views
9 Pages

29 May 2017

We propose a stochastic method to generate exactly the overdamped Langevin dynamics of semi-flexible Gaussian chains, conditioned to evolve between given initial and final conformations in a preassigned time. The initial and final conformations have...

(This article belongs to the Special Issue Knotted and Catenated Polymers)
  • Article
  • Open Access
2 Citations
1,256 Views
20 Pages

Theoretical Description of Changes in Conformation and Symmetry of Supramolecular Systems During the Reception of a Molecular Signal

  • Yuriy Gorovoy,
  • Natalia Rodionova,
  • German Stepanov,
  • Anastasia Petrova and ,
  • Nadezda Penkova and
  • Nikita Penkov
  • + 1 author+ 0 author

Aqueous solutions are not homogeneous and could be considered supramolecular systems. They can emit electromagnetic waves. Electromagnetic emission from one supramolecular system (“source”) can be received by another supramolecular system...

(This article belongs to the Section Macromolecules)
  • Review
  • Open Access
25 Citations
4,783 Views
31 Pages

18 October 2021

Pulsed electric fields (PEFs), which are generated by pulsed power technologies, are being tested for their applicability in food processing through protein conformational change and the poration of cell membranes. In this article, enzyme activity ch...

(This article belongs to the Special Issue Extraction, Processing, and Encapsulation of Food Bioactive Compounds)
  • Article
  • Open Access
7 Citations
4,384 Views
21 Pages

Probing the Y2 Receptor on Transmembrane, Intra- and Extra-Cellular Sites for EPR Measurements

  • Jeannette M. Laugwitz,
  • Haleh H. Haeri,
  • Anette Kaiser,
  • Ulrike Krug and ,
  • Dariush Hinderberger,
  • Annette G. Beck-Sickinger and
  • Peter Schmidt
  • + 2 authors+ 0 author

10 September 2020

The function of G protein-coupled receptors is intrinsically linked to their conformational dynamics. In conjugation with site-directed spin labeling, electron paramagnetic resonance (EPR) spectroscopy provides powerful tools to study the highly dyna...

(This article belongs to the Special Issue New Breakthroughs in GPCR Structure, Function and Their Impact on Drug Discovery)
  • Article
  • Open Access
50 Citations
5,743 Views
22 Pages

A Hybrid Cooling Model Based on the Use of Newly Designed Fluted Conformal Cooling Channels and Fastcool Inserts for Green Molds

  • Abelardo Torres-Alba,
  • Jorge Manuel Mercado-Colmenero,
  • Juan De Dios Caballero-Garcia and
  • Cristina Martin-Doñate

15 September 2021

The paper presents a hybrid cooling model based on the use of newly designed fluted conformal cooling channels in combination with inserts manufactured with Fastcool material. The hybrid cooling design was applied to an industrial part with complex g...

(This article belongs to the Special Issue Advanced Polymer Simulation and Processing)
  • Article
  • Open Access
4 Citations
1,651 Views
30 Pages

Advanced Modeling of Hydrogen Turbines Using Generalized Conformable Calculus

  • Oscar Oswaldo Sánchez-Sánchez,
  • Josué Neftalí Gutiérrez-Corona,
  • Marco Antonio Polo-Labarrios and
  • Guillermo Fernandez-Anaya

22 October 2024

This article addresses critical challenges in the transition to clean energy sources by highlighting the importance of advanced mathematical modeling and computational techniques in turbine design and operation. Specifically, we extend and generalize...

(This article belongs to the Section A5: Hydrogen Energy)
  • Article
  • Open Access
9 Citations
6,162 Views
19 Pages

Multi-Scale Simulation of Hyperbranched Polymers

  • Ricardo Rodríguez Schmidt,
  • José Ginés Hernández Cifre and
  • José García De la Torre

30 March 2015

In a previous work, we described a multi-scale protocol for the simulation of the conformation and dynamics of macromolecules that was applied to dendrimer molecules proving its predictive capability by comparison with experimental data. That scheme...

  • Article
  • Open Access
5 Citations
2,616 Views
16 Pages

Heritability and Trends in Selected Udder Traits and Their Relation to Milk Production in Holstein-Friesian Cows

  • Zsolt Jenő Kőrösi,
  • Szabolcs Albin Bene,
  • László Bognár and
  • Ferenc Szabó

30 April 2025

This study aimed to evaluate the heritability (h2) estimates of some important udder conformation traits, their relationship to each other and with production, and their phenotypic and genetic trends over a 10-year period in relatively high-yielding...

(This article belongs to the Section Cattle)
  • Article
  • Open Access
14 Citations
10,381 Views
13 Pages

22 January 2008

Protein-protein interactions are important for biochemical processes in biological systems. The 3D structure of the macromolecular complex resulting from the protein-protein association is a very useful source to understand its specific functions. Th...

(This article belongs to the Special Issue Interaction of Biological Molecules)
  • Feature Paper
  • Article
  • Open Access
3,145 Views
16 Pages

15 September 2019

The concept of universality is a cornerstone of theories of critical phenomena. It is very well understood in most systems, especially in the thermodynamic limit. Finite-size systems present additional challenges. Even in low dimensions, universality...

(This article belongs to the Special Issue Phase Transitions and Emergent Phenomena: How Change Emerges through Basic Probability Models)
  • Feature Paper
  • Article
  • Open Access
3 Citations
3,167 Views
14 Pages

Large Stabilization Effects by Intramolecular Beryllium Bonds in Ortho-Benzene Derivatives

  • Tsai I-Ting,
  • M. Merced Montero-Campillo,
  • Ibon Alkorta,
  • José Elguero and
  • Manuel Yáñez

Intramolecular interactions are shown to be key for favoring a given structure in systems with a variety of conformers. In ortho-substituted benzene derivatives including a beryllium moiety, beryllium bonds provide very large stabilizations with resp...

(This article belongs to the Special Issue Chemical Bonding: A Commemorative Special Issue Honoring Professor Linus Pauling)
  • Article
  • Open Access
4 Citations
3,755 Views
16 Pages

Uncertainty-Based Autonomous Path Planning for Laser Line Scanners

  • Michiel Vlaeyen,
  • Han Haitjema and
  • Wim Dewulf

6 December 2022

This study proposes an algorithm to autonomously generate the scan path for a laser line scanner mounted on a coordinate measuring machine. The scan path is determined based on task-specific measurement uncertainty in order to prove conformance to sp...

  • Article
  • Open Access
14 Citations
7,256 Views
14 Pages

Understanding the Meaning of Conformity to Feminine Norms in Lifestyle Habits and Health: A Cluster Analysis

  • Sara Esteban-Gonzalo,
  • Petula Sik Ying Ho,
  • Marta Evelia Aparicio-García and
  • Laura Esteban-Gonzalo

Background: Gender roles impact different spheres of life and lead women to behavioral patterns and lifestyle habits associated with femininity, generating important differences between men and women in health. The present study analyzed relationship...

(This article belongs to the Special Issue Women’s Empowerment and Women’s Health Outcomes)
  • Article
  • Open Access
2 Citations
1,621 Views
24 Pages

30 October 2024

We successively reanalyzed modern Lie-algebraic approaches lying in the background of effective constructions of integrable super-Hamiltonian systems on functional N=1,2,3- supermanifolds, possessing rich supersymmetries and endowed with suitably rel...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
7 Citations
3,028 Views
19 Pages

3 October 2021

The method proposed by Inomata and his collaborators allows us to transform a damped Caldirola–Kanai oscillator with a time-dependent frequency to one with a constant frequency and no friction by redefining the time variable, obtained by solving an E...

(This article belongs to the Special Issue Symmetries in Quantum Mechanics and Statistical Physics)
  • Review
  • Open Access
1,110 Views
24 Pages

Self-Guided Molecular Simulation Methods

  • Xiongwu Wu and
  • Bernard R. Brooks

26 October 2025

This work reviews self-guided (SG) molecular simulation methods and illustrates the characteristics and applications of these methods through several example simulations. The main characteristic of SG methods is that past motion in simulations is use...

(This article belongs to the Special Issue Advances in Biomathematics, Computational Biology, and Bioengineering)
  • Article
  • Open Access
459 Views
14 Pages

16 July 2026

Precise site-specific ligand design remains a major challenge in structure-based drug discovery. Most existing approaches screen ligands against binding pockets identified from static protein structures obtained by X-ray crystallography, NMR spectros...

(This article belongs to the Section Biophysics)
  • Article
  • Open Access
1,919 Views
23 Pages

Flavonoids as Structural Probes Reveal Conformationally Dependent Ligand Recognition in the SARS-CoV-2 JN.1 Spike Protein

  • Susana R. Castro-Jiménez,
  • Armando Mejía,
  • Carlos Cabello,
  • Gabriela Léon-Gutierrez and
  • Cesar Millán-Pacheco

The SARS-CoV-2 JN.1 subvariant has attracted attention due to the accumulation of mutations in the Spike (S) glycoprotein, particularly within the receptor-binding domain (RBD), contributing to the structural heterogeneity of the Spike protein. Howev...

(This article belongs to the Section Macromolecules)
  • Article
  • Open Access
19 Citations
4,777 Views
22 Pages

Applications of the (G′/G2)-Expansion Method for Solving Certain Nonlinear Conformable Evolution Equations

  • Supaporn Kaewta,
  • Sekson Sirisubtawee,
  • Sanoe Koonprasert and
  • Surattana Sungnul

The core objective of this article is to generate novel exact traveling wave solutions of two nonlinear conformable evolution equations, namely, the (2+1)-dimensional conformable time integro-differential Sawada–Kotera (SK) equation and the (3+1)-dim...

(This article belongs to the Special Issue The Solutions of Partial Differential Equations and Recent Applications)
  • Review
  • Open Access
7 Citations
4,651 Views
19 Pages

19 March 2021

In the past two decades, extensive research and studies have been performed on graphene because of its exceptional physical properties. Owing to its ultrahigh carrier mobility, quantum Hall effect and unique optical transmittance, graphene is conside...

(This article belongs to the Section Nanotechnology and Applied Nanosciences)
  • Article
  • Open Access
29 Citations
9,707 Views
23 Pages

21 April 2015

Here we describe the development of an improved workflow for utilizing experimental and simulated protein conformations in the structure-based design of inhibitors for anti-apoptotic Bcl-2 family proteins. Traditional structure-based approaches on si...

(This article belongs to the Special Issue Protein-Protein Interactions)
  • Article
  • Open Access
463 Views
24 Pages

16 September 2026

The electricity demand of artificial intelligence (AI) data centers is growing faster than the grids hosting them can decarbonize, yet carbon-aware computing is rarely audited at the system level: workloads follow scalar-price or carbon signals, whos...

(This article belongs to the Section Energy Sustainability)

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