wanyu/IteraTeR_v2 huggingface dataset:
Original:  Within the very difficult class of dynamic fragmentation models (including notably classical models of computer storage fragmentation), this baseline result appears to be the first of its kind.
Revised:  Within the very difficult class of dynamic fragmentation models (including notably classical models of computer storage fragmentation), this result appears to be the first of its kind.
Edit intent: clarity
Original:  Extensive experimental results describe detailed behavior, at times unexpected, of fragmentation as parameter values are varied, and as different allocation algorithmsare evaluated.
Revised:  Extensive experimental results describe behavior, at times unexpected, of fragmentation as parameter values are varied, and as different allocation algorithmsare evaluated.
Edit intent: clarity
Original:  Overall, the paper provides insights into the potential behavior of practical resource fragmentation algorithms.
Revised:  Overall, the paper provides insights into the potential behavior of practical fragmentation algorithms.
Edit intent: clarity
Original:  Component and local stability analysis are applied to understand the cooperative behavior.
Revised:  Component and local stability analyses to better understand the nature of the manifested behavior.
Edit intent: clarity
Original:  Additionally, we employ component and local stability analyses to better understand the nature of the manifested behavior .
Revised:  Additionally, we employ component and local stability analyses to better understand the nature of the manifested dynamics .
Edit intent: clarity
Original: Recently, scientists from The Craig J. Venter Institute and others 3 reported construction of very long DNA molecules using a variety of experimental procedures adopting a number of working hypotheses.
Revised: Recently, scientists from The Craig J. Venter Institute 3 reported construction of very long DNA molecules using a variety of experimental procedures adopting a number of working hypotheses.
Edit intent: clarity
Original:  Finding a mathematical rule for generation of such a long sequence would revolutionize our thinking on various advanced areas of biology, viz. evolution of long DNA chains in chromosomes, reasons for existence of long stretches of non-coding regions as well as in usher automated methods for preparing long DNA chains . DNA computing may also harvest benefits from such results, for example reversible computing might be facilitated .
Revised:  Finding a mathematical rule for generation of such a long sequence would revolutionize our thinking on various advanced areas of biology, viz. evolution of long DNA chains in chromosomes, reasons for existence of long stretches of non-coding regions as well as would usher automated methods for preparing long DNA chains . DNA computing may also harvest benefits from such results, for example reversible computing might be facilitated .
Edit intent: clarity
Original:  Finding a mathematical rule for generation of such a long sequence would revolutionize our thinking on various advanced areas of biology, viz. evolution of long DNA chains in chromosomes, reasons for existence of long stretches of non-coding regions as well as in usher automated methods for preparing long DNA chains . DNA computing may also harvest benefits from such results, for example reversible computing might be facilitated .
Revised:  Finding a mathematical rule for generation of such a long sequence would revolutionize our thinking on various advanced areas of biology, viz. evolution of long DNA chains in chromosomes, reasons for existence of long stretches of non-coding regions as well as in usher automated methods for long DNA chains . DNA computing may also harvest benefits from such results, for example reversible computing might be facilitated .
Edit intent: clarity
Original:  Finding a mathematical rule for generation of such a long sequence would revolutionize our thinking on various advanced areas of biology, viz. evolution of long DNA chains in chromosomes, reasons for existence of long stretches of non-coding regions as well as in usher automated methods for preparing long DNA chains . DNA computing may also harvest benefits from such results, for example reversible computing might be facilitated .
Revised:  Finding a mathematical rule for generation of such a long sequence would revolutionize our thinking on various advanced areas of biology, viz. evolution of long DNA chains in chromosomes, reasons for existence of long stretches of non-coding regions as well as in usher automated methods for preparing long DNA chains preparation for chromosome engineering .
Edit intent: clarity
Original:  In this paper, we report the basics and applications of Lsystem (a mathematical principle) which could answer  the aforesaid issues.
Revised:  In this paper, we report the basics and applications of L-system (a mathematical principle) which could answer the aforesaid issues.
Edit intent: fluency
Original:  In this paper, we report the basics and applications of Lsystem (a mathematical principle) which could answer  the aforesaid issues.
Revised:  In this paper, we report the basics and applications of Lsystem (a mathematical principle) which could answer all the aforesaid issues.
Edit intent: fluency
Original:  At the end, we present the whole human mitochondrial genome generated by using this mathematical principle using PC computation power.
Revised:  At the end, we present the whole human mitochondrial genome which has been generated using this mathematical principle using PC computation power.
Edit intent: clarity
Original:  We are of the opinion that with this basic methodology one can construct any stretch of DNA, be it 936 bp of olfactory receptor ( with or without introns ) mitochondrial DNA , or 3 x 109 sequences of human genome with the help of a PC computation power.
Revised:  We can claim now that we can make any stretch of DNA, be it 936 bp of olfactory receptor ( with or without introns ) mitochondrial DNA , or 3 x 109 sequences of human genome with the help of a PC computation power.
Edit intent: clarity
Original:  We are of the opinion that with this basic methodology one can construct any stretch of DNA, be it 936 bp of olfactory receptor ( with or without introns ) mitochondrial DNA , or 3 x 109 sequences of human genome with the help of a PC computation power.
Revised:  We are of the opinion that with this basic methodology one can construct any stretch of DNA, be it 936 bp of olfactory receptor , with or without introns ) mitochondrial DNA , or 3 x 109 sequences of human genome with the help of a PC computation power.
Edit intent: fluency
Original:  We are of the opinion that with this basic methodology one can construct any stretch of DNA, be it 936 bp of olfactory receptor ( with or without introns ) mitochondrial DNA , or 3 x 109 sequences of human genome with the help of a PC computation power.
Revised:  We are of the opinion that with this basic methodology one can construct any stretch of DNA, be it 936 bp of olfactory receptor ( with or without introns , mitochondrial DNA to 3 x 109 sequences of human genome with the help of a PC computation power.
Edit intent: clarity
Original:  We are of the opinion that with this basic methodology one can construct any stretch of DNA, be it 936 bp of olfactory receptor ( with or without introns ) mitochondrial DNA , or 3 x 109 sequences of human genome with the help of a PC computation power.
Revised:  We are of the opinion that with this basic methodology one can construct any stretch of DNA, be it 936 bp of olfactory receptor ( with or without introns ) mitochondrial DNA , or 3 x 109 bp DNA sequences of the whole human genome with the help of a PC computation power.
Edit intent: clarity
Original:  We are of the opinion that with this basic methodology one can construct any stretch of DNA, be it 936 bp of olfactory receptor ( with or without introns ) mitochondrial DNA , or 3 x 109 sequences of human genome with the help of a PC computation power.
Revised:  We are of the opinion that with this basic methodology one can construct any stretch of DNA, be it 936 bp of olfactory receptor ( with or without introns ) mitochondrial DNA , or 3 x 109 sequences of human genome with even a PC computation power.
Edit intent: clarity
Original: This paper considers the problem of transferring a file from one server to multiple receivers in a peer-to-peer (P2P) network.
Revised: This paper considers the problem of transferring a file from one source node to multiple receivers in a peer-to-peer (P2P) network.
Edit intent: clarity
Original:  This paper  shows that the static scenario can be optimized in polynomial time by convex optimization, and the associated optimal static WSD can be achieved by linear network coding.
Revised:  This paper first shows that the static scenario can be optimized in polynomial time by convex optimization, and the associated optimal static WSD can be achieved by linear network coding.
Edit intent: coherence
Original:  This paper  shows that the static scenario can be optimized in polynomial time by convex optimization, and the associated optimal static WSD can be achieved by linear network coding.
Revised:  This paper shows that the static scenario may be optimized in polynomial time by convex optimization, and the associated optimal static WSD can be achieved by linear network coding.
Edit intent: clarity
Original:  This paper also proposes a dynamic rateless-coding-based scheme, which provides significantly smaller WSD than the optimal static scenario does.
Revised:  This paper proposes a dynamic rateless-coding-based scheme, which provides significantly smaller WSD than the optimal static scenario does.
Edit intent: clarity
Original:  This paper also proposes a dynamic rateless-coding-based scheme, which provides significantly smaller WSD than the optimal static scenario does.
Revised:  This paper also proposes a dynamic rateless-coding-based scheme, which provides significantly smaller WSDT than the optimal static scenario does.
Edit intent: clarity
Original:  In this paper we identify a problem that can occur if the seeding rate is not large enough.
Revised:  In this paper we investigate a problem that can occur if the seeding rate is not large enough.
Edit intent: clarity
Original: We show that for any \epsilon >0 and any \ell_1 metric on npoints dthere is a metric d' that approximates d by at most 1 + \epsilon and d' can be written as a non-negative combination of O(n/%DIFDELCMD < \e%%% ^2)cuts metrics .
Revised: We show that for any \epsilon >0 and any \ell_1 metric on npoints dthere is a metric d' that approximates d by at most 1 %DIFDELCMD < \e%%% ^2)cuts metrics .
Edit intent: coherence
Original:  In particular, we show } that any \ell_1 metric on n points can be embedded into O(n/ %DIFDELCMD < \e%%% ^2) -dimensional \ell_1-space, with distortion bounded by 1+%DIFDELCMD < \e%%% . We then show that the methods used have a much wider range of applicability, and develop basic tools to analyze their performance in the general settings.
Revised:  In particular, we show } that any \ell_1 metric on n points can be embedded into O(n/ %DIFDELCMD < \e%%% %DIFDELCMD < \e%%% . We then show that the methods used have a much wider range of applicability, and develop basic tools to analyze their performance in the general settings.
Edit intent: coherence
Original:  We proceed to establish their basic properties, and in particular, establish a cut-dimension reduction result } .
Revised:  We proceed to establish their basic properties, and in particular, establish a cut-dimension reduction result \'u} .
Edit intent: coherence
Original: This paper provides a bridge between the classical tiling theory and cellular automata on one side, and the complex neighborhood self-assembling situations that exist in practice , on the other side.
Revised: This paper provides a bridge between the classical tiling theory and the complex neighborhood self-assembling situations that exist in practice , on the other side.
Edit intent: clarity
Original:  A neighborhood N is a finite set of pairs (i,j) \in%DIFDELCMD < \Z %%% ^2, indicating that the neighbors of a position (x,y) are the positions (x+i,y+j) for (i,j) \in N .  This includes classical neighborhoods of size four, as well as arbitrarily complex neighborhoods.
Revised:  A neighborhood N is a finite set of pairs (i,j) \in%DIFDELCMD < \Z %%% . This includes classical neighborhoods of size four, as well as arbitrarily complex neighborhoods.
Edit intent: coherence
Original:  We prove that any path filled with tiles defined in a given but arbitrary neighborhood (a zipper) can be simulated by a simple "ribbon" of microtiles.
Revised:  We prove that any validly tiled path defined in a given but arbitrary neighborhood (a zipper) can be simulated by a simple "ribbon" of microtiles.
Edit intent: clarity
Original:  A ribbon is a special kind of polyomino, consisting of a non-self-crossing rectilinear sequence of tiles on the plane, in which successive tiles are adjacent along an edge, and where each tile needs to match glues with only two other tiles: its predecessor and its successor on the path.
Revised:  A ribbon is a special kind of polyomino, consisting of a non-self-crossing sequence of tiles on the plane, in which successive tiles are adjacent along an edge, and where each tile needs to match glues with only two other tiles: its predecessor and its successor on the path.
Edit intent: clarity
Original: The Poisson process with dead time (PPD) is a widely used model for time series of events.
Revised: The Poisson process with dead-time (PPD) is a widely used model for time series of events.
Edit intent: fluency
Original:  Here we analyze non-equilibrium properties of an ensemble of PPDs.
Revised:  Here we analyse non-equilibrium properties of an ensemble of PPDs.
Edit intent: fluency
Original:  We derive a delay differential equation that describes the dynamics of the state of the ensemble.
Revised:  We derive a delay differential equation that describes the dynamics of the ensemble.
Edit intent: clarity
Original:  We also derive the mapping of periodic inputto steady-state output , which we solve specifically for sinusoidal inputs.
Revised:  We also derive the steady-state output , which we solve specifically for sinusoidal inputs.
Edit intent: clarity
Original:  We are able to generalize the dynamics of the PPD to the case of random dead times , by which the method becomes applicable to a much larger class of stochastic point processes.
Revised:  We then generalize the dynamics of the PPD to the case of random dead times , by which the method becomes applicable to a much larger class of stochastic point processes.
Edit intent: clarity
Original:  We are able to generalize the dynamics of the PPD to the case of random dead times , by which the method becomes applicable to a much larger class of stochastic point processes.
Revised:  We are able to generalize the dynamics of the PPD to the case of random dead-times , by which the method becomes applicable to a much larger class of stochastic point processes.
Edit intent: fluency
Original:  Transient properties of the PPD are a recurring theme in many quantitative sciences, since a dead time after event detection is a feature of most technical counting devices.
Revised:  Transient properties of the PPD are a recurring theme in many quantitative sciences, since a dead-time after event detection is a feature of most technical counting devices.
Edit intent: fluency
Original:  Transient properties of the PPD are a recurring theme in many quantitative sciences, since a dead time after event detection is a feature of most technical counting devices.
Revised:  Transient properties of the PPD are a recurring theme in many quantitative sciences, since a dead time after event detection is a typical feature of technical counting devices.
Edit intent: clarity
Original:  Our results are also relevant for the neurosciences because refractoriness is a characteristic of trains of action potentials emitted by nerve cells.
Revised:  Our results are also relevant for the neurosciences because refractoriness is characteristic of trains of action potentials emitted by nerve cells.
Edit intent: fluency
Original: The conjecture that the orbit-counting generating function for totally symmetric plane partitions can be written as an explicit product-formula , has been stated independently by George Andrews and David Robbins around 1983.
Revised: The conjecture that the orbit-counting generating function for totally symmetric plane partitions can be written as an explicit product formula , has been stated independently by George Andrews and David Robbins around 1983.
Edit intent: clarity
Original: We propose an annealed formulation of complex networks to study the dynamical behavior of  both static and adaptive networked systems.
Revised: We use the annealed formulation of complex networks to study the dynamical behavior of both static and adaptive networked systems.
Edit intent: clarity
Original:  The formulation relies on an annealed adjacency matrix, representing one network ensemble, and allows to solve the dynamical evolution of the network all at once.
Revised:  This unifying approach relies on the annealed adjacency matrix, representing one network ensemble, and allows to solve the dynamical evolution of the network all at once.
Edit intent: clarity
Original:  The formulation relies on an annealed adjacency matrix, representing one network ensemble, and allows to solve the dynamical evolution of the network all at once.
Revised:  The formulation relies on an annealed adjacency matrix, representing one network ensemble, and allows to solve the dynamical evolution of the whole network ensemble all at once.
Edit intent: clarity
Original:  We particularize on the disease spreading dynamics on top of static and growing adaptive networks.
Edit intent: coherence
Original:  The majority game is successful in a trendy market dominated by long periods of sustained price increasing or decreasing .
Revised:  The majority game is successful in a trendy market dominated by long periods of sustained price increase or decrease .
Edit intent: fluency
Original:  This paper proposes adaptations of these tools focusing on solutions of the real analogue: systems of equations, inequations and inequalities given by polynomials with rational number coefficients .
Revised:  This paper proposes adaptations of these tools focusing on solutions of the real analogue: semi-algebraic systems .
Edit intent: clarity
Original:  We show that , under some assumptions, any such system can be decomposed into finitely many {\em regular semi-algebraic system  in singly exponential time w.r.t.  the number of variables.
Revised:  We show that any such system can be decomposed into finitely many {\em regular semi-algebraic system in singly exponential time w.r.t. the number of variables.
Edit intent: clarity
Original:  We show that , under some assumptions, any such system can be decomposed into finitely many {\em regular semi-algebraic system  in singly exponential time w.r.t.  the number of variables.
Revised:  We show that , under some assumptions, any such system can be decomposed into finitely many {\em regular semi-algebraic systems in singly exponential time w.r.t. the number of variables.
Edit intent: fluency
Original:  Our experimental results illustrate the effectivenessof the presented algorithm .
Revised:  Our experimental results illustrate their effectiveness .
Edit intent: clarity
Original: We are interested in unicast flows over wireless networks with intersession network coding.
Revised: We are interested in unicast traffic over wireless networks with intersession network coding.
Edit intent: clarity
Original:  Standard transport protocols (e.g., TCP) over coded wireless networks (e. g., based on COPE 1%DIFDELCMD < ]%%% ) do not fully exploit  network coding opportunities due to the bursty behavior of TCP and to the fact that TCP is agnostic to the underlying network coding.
Revised:  Standard transport protocols (e.g., TCP) over coded wireless networks (e. g., based on COPE %DIFDELCMD < ]%%% ) do not fully exploit network coding opportunities due to the bursty behavior of TCP and to the fact that TCP is agnostic to the underlying network coding.
Edit intent: fluency
Original:  Standard transport protocols (e.g., TCP) over coded wireless networks (e. g., based on COPE 1%DIFDELCMD < ]%%% ) do not fully exploit  network coding opportunities due to the bursty behavior of TCP and to the fact that TCP is agnostic to the underlying network coding.
Revised:  Standard transport protocols (e.g., TCP) over coded wireless networks (e. g., based on COPE 1%DIFDELCMD < ]%%% ) do not fully exploit the network coding opportunities due to the bursty behavior of TCP and to the fact that TCP is agnostic to the underlying network coding.
Edit intent: fluency
Original:  Standard transport protocols (e.g., TCP) over coded wireless networks (e. g., based on COPE 1%DIFDELCMD < ]%%% ) do not fully exploit  network coding opportunities due to the bursty behavior of TCP and to the fact that TCP is agnostic to the underlying network coding.
Revised:  Standard transport protocols (e.g., TCP) over coded wireless networks (e. g., based on COPE 1%DIFDELCMD < ]%%% ) do not fully exploit network coding opportunities due to their bursty behavior and due to the fact that TCP is agnostic to the underlying network coding.
Edit intent: clarity
Original:  First, we formulate congestion control in this setting as a utility maximization problem and we present a distributed solution.
Revised:  First, we formulate the problem as network utility maximization and we present a distributed solution.
Edit intent: clarity
Original:  Second, mimicking the structure of the optimal solution, we propose minimal changes to the queue management scheme  at intermediate nodes so as to make it "network coding-aware".
Revised:  Second, mimicking the structure of the optimal solution, we propose a "network-coding aware" queue management scheme at intermediate nodes so as to make it "network coding-aware".
Edit intent: clarity
Original:  It is shown how the effectiveness of the L. monocytogenes model is an instance of a more general phenomenon in aggregate systems exhibited by the chemical agents propelling the bacteria .
Revised:  It is shown how L. monocytogenes model is an instance of a more general phenomenon in aggregate systems exhibited by the chemical agents propelling the bacteria .
Edit intent: clarity
Original:  It is shown how the effectiveness of the L. monocytogenes model is an instance of a more general phenomenon in aggregate systems exhibited by the chemical agents propelling the bacteria .
Revised:  It is shown how the effectiveness of the L. monocytogenes trajectories and meandering spiral waves are organized by the same type of attracting set .
Edit intent: clarity
Original: The work is devoted to Computability Logic (CoL) -- the philosophical/mathematical platform and long-term project for redeveloping classical logic after replacing truth} by computability in its underlying semantics (see URL  This article elaborates some basic complexity theory for the CoL framework.
Revised: The work is devoted to Computability Logic (CoL) -- the philosophical/mathematical platform and long-term project for redeveloping classical logic after replacing truth} by computability in its underlying semantics (see URL ). This article elaborates some basic complexity theory for the CoL framework.
Edit intent: fluency
Original: The work is devoted to Computability Logic (CoL) -- the philosophical/mathematical platform and long-term project for redeveloping classical logic after replacing truth} by computability in its underlying semantics (see URL ).
Revised: The work is devoted to Computability Logic (CoL) -- the philosophical/mathematical platform and long-term project for redeveloping classical logic after replacing truth} by computability in its underlying semantics (see URL 
Edit intent: fluency