wanyu/IteraTeR_v2 huggingface dataset:
Original:  We addressed this challenge by directly comparing  a constraint-based model , the Maximum Entropy Theory of Ecology (METE) and  a process-based model , the size-structured neutral theory (SSNT).
Revised:  We addressed this challenge by directly comparing a constraint-based model , the Maximum Entropy Theory of Ecology (METE) and models from a process-based model , the size-structured neutral theory (SSNT).
Edit intent: clarity
Original:  We addressed this challenge by directly comparing  a constraint-based model , the Maximum Entropy Theory of Ecology (METE) and  a process-based model , the size-structured neutral theory (SSNT).
Revised:  We addressed this challenge by directly comparing a constraint-based model , the Maximum Entropy Theory of Ecology (METE) and a process-based theory , the size-structured neutral theory (SSNT).
Edit intent: fluency
Original:  Across 80 forest communities, SSNT consistently outperformed METE when evaluated with a single joint distribution characterizing multiple aspects of community structure, suggesting that the details of the biological processes are important for understanding community structure  in these systems.
Revised:  Across 80 forest communities, the SSNT models consistently outperformed the METE models when evaluated with a single joint distribution characterizing multiple aspects of community structure, suggesting that the details of the biological processes are important for understanding community structure in these systems.
Edit intent: clarity
Original:  Across 80 forest communities, SSNT consistently outperformed METE when evaluated with a single joint distribution characterizing multiple aspects of community structure, suggesting that the details of the biological processes are important for understanding community structure  in these systems.
Revised:  Across 80 forest communities, SSNT consistently outperformed METE when evaluated with a single joint distribution characterizing multiple aspects of community structure, suggesting that the details of the biological processes contain additional information for understanding community structure in these systems.
Edit intent: clarity
Original:  Across 76 forest communities  , the SSNT models consistently outperformed the METE models when evaluated with a single joint distribution characterizing multiple aspects of community structure, suggesting that the details of the biological processes contain additional information for understanding community structure that are not fully captured by the METE constraints in these systems.
Revised:  Across 76 forest communities . However , the SSNT models consistently outperformed the METE models when evaluated with a single joint distribution characterizing multiple aspects of community structure, suggesting that the details of the biological processes contain additional information for understanding community structure that are not fully captured by the METE constraints in these systems.
Edit intent: coherence
Original:  This approach provides a first step towards differentiating between process- and constraint-based models of ecological systems and a general methodology for comparing ecological models that make predictions for multiple patterns.
Revised:  Our approach provides a first step towards differentiating between process- and constraint-based models of ecological systems and a general methodology for comparing ecological models that make predictions for multiple patterns.
Edit intent: fluency
Original:   These findings suggest that we should question the extent to which folkosonomies achieve crowdsourced classification via the "wisdom of the crowd", especially for broad folksonomies like Last.fm as opposed to narrow folksonomies like Flickr.
Revised:  These findings suggest we should question the extent to which folkosonomies achieve crowdsourced classification via the "wisdom of the crowd", especially for broad folksonomies like Last.fm as opposed to narrow folksonomies like Flickr.
Edit intent: fluency
Original:   These findings suggest that we should question the extent to which folkosonomies achieve crowdsourced classification via the "wisdom of the crowd", especially for broad folksonomies like Last.fm as opposed to narrow folksonomies like Flickr.
Revised:  These findings suggest that we should question the extent to which folksonomies achieve crowdsourced classification via the "wisdom of the crowd", especially for broad folksonomies like Last.fm as opposed to narrow folksonomies like Flickr.
Edit intent: fluency
Original: For almost 35 years, Sch\"onhage-Strassen } 's algorithm has been the fastest algorithm known for multiplying integers, with a time complexity O (n \cdot log n \cdot log log\relax  n) for multi-plying n-bit inputs.
Revised: For almost 35 years, Sch\"onhage-Strassen } 's algorithm has been thefastest algorithm known for multiplying integers, with a time complexity O (n \cdot log n \cdot log log\relax n) for multi-plying n-bit inputs.
Edit intent: fluency
Original: For almost 35 years, Sch\"onhage-Strassen } 's algorithm has been the fastest algorithm known for multiplying integers, with a time complexity O (n \cdot log n \cdot log log\relax  n) for multi-plying n-bit inputs.
Revised: For almost 35 years, Sch\"onhage-Strassen } 's algorithm has been the fastest algorithm known for multiplying integers, with a time complexityO (n \cdot log n \cdot log log\relax n) for multi-plying n-bit inputs.
Edit intent: fluency
Original: For almost 35 years, Sch\"onhage-Strassen } 's algorithm has been the fastest algorithm known for multiplying integers, with a time complexity O (n \cdot log n \cdot log log\relax  n) for multi-plying n-bit inputs.
Revised: For almost 35 years, Sch\"onhage-Strassen } 's algorithm has been the fastest algorithm known for multiplying integers, with a time complexity O (n \cdot \log n \cdot \log\relax n) for multi-plying n-bit inputs.
Edit intent: fluency
Original: For almost 35 years, Sch\"onhage-Strassen } 's algorithm has been the fastest algorithm known for multiplying integers, with a time complexity O (n \cdot log n \cdot log log\relax  n) for multi-plying n-bit inputs.
Revised: For almost 35 years, Sch\"onhage-Strassen } 's algorithm has been the fastest algorithm known for multiplying integers, with a time complexity O (n \cdot log n \cdot log log\relax n) for multiplying n-bit inputs.
Edit intent: clarity
Original:  In 2007, F\"urer } proved that there exists K1 and an algorithm performing this operation in O(n \cdot log n \cdot K log * n ).
Revised:  In 2007, F } proved that there exists K1 and an algorithm performing this operation in O(n \cdot log n \cdot K log * n ).
Edit intent: coherence
Original:  In 2007, F\"urer } proved that there exists K1 and an algorithm performing this operation in O(n \cdot log n \cdot K log * n ).
Revised:  In 2007, F\"urer } proved that there exists K1 and an algorithm performing thisoperation in O(n \cdot log n \cdot K log * n ).
Edit intent: fluency
Original:  In 2007, F\"urer } proved that there exists K1 and an algorithm performing this operation in O(n \cdot log n \cdot K log * n ).
Revised:  In 2007, F\"urer } proved that there exists K1 and an algorithm performing this operation in O(n \cdot \log n \cdot K log * n ).
Edit intent: fluency
Original:  Recent work  showed that this complexity estimate can be made more precise with K=8, and conjecturally K=4.
Revised:  Recent work showed that this complexity estimate can be improved in order to get K=8, and conjecturally K=4.
Edit intent: clarity
Original:  Recent work  showed that this complexity estimate can be made more precise with K=8, and conjecturally K=4.
Revised:  Recent work showed that this complexity estimate can be made more precise with K=8, andconjecturally K=4.
Edit intent: fluency
Original:  We obtain here the same result K=4 using simple modular arithmetic as a building block, and a careful complexity analysis.
Revised:  We obtain here the same result K=4 using simplemodular arithmetic as a building block, and a careful complexity analysis.
Edit intent: fluency
Original: For almost 35 years, Sch{\"o}nhage-Strassen's algorithm has been thefastest algorithm known for multiplying integers, with a time complexityO(n \cdot \log n \cdot \log%DIFDELCMD < \relax %%% \log n) for multiplying n-bit inputs.
Revised: For almost 35 years, Sch{\"o}nhage-Strassen's algorithm has been the fastest algorithm known for multiplying integers, with a time complexityO(n \cdot \log n \cdot \log%DIFDELCMD < \relax %%% \log n) for multiplying n-bit inputs.
Edit intent: fluency
Original: For almost 35 years, Sch{\"o}nhage-Strassen's algorithm has been thefastest algorithm known for multiplying integers, with a time complexityO(n \cdot \log n \cdot \log%DIFDELCMD < \relax %%% \log n) for multiplying n-bit inputs.
Revised: For almost 35 years, Sch{\"o}nhage-Strassen's algorithm has been thefastest algorithm known for multiplying integers, with a time %DIFDELCMD < \relax %%% \log n) for multiplying n-bit inputs.
Edit intent: clarity
Original:  In 2007, F{\"u}rer proved that there exists K \textgreater{ 1 and an algorithm performing thisoperation in O(n \cdot \log n \cdot K ^{\log^* n ).
Revised:  In 2007, F{\"u}rer proved that there exists K \textgreater{ 1 and an algorithm performing this operation in O(n \cdot \log n \cdot K ^{\log^* n ).
Edit intent: fluency
Original:  We obtain a similar result K = 4 using an alternative somewhat simpler algorithm, which relies on arithmetic modulo generalized Fermat primes  .
Revised:  We obtain a similar result K = 4. Using an alternative algorithm, which relies on arithmetic modulo generalized Fermat primes .
Edit intent: clarity
Original:  However, in order to account properly for the dynamics of real data, these models need to exhibit time-dependent , or even stochastic , parameters.
Revised:  However, in order to account properly for the dynamics of real data, these models need to exhibit time-dependent or even stochastic , parameters.
Edit intent: fluency
Original:  However, in order to account properly for the dynamics of real data, these models need to exhibit time-dependent , or even stochastic , parameters.
Revised:  However, in order to account properly for the dynamics of real data, these models need to exhibit time-dependent , or even stochastic parameters.
Edit intent: fluency
Original:  We introduce a new class of Heath-Jarrow-Morton (HJM) models , that both fit the dynamics of real market data and remain tractable.
Revised:  We introduce a new class of Heath-Jarrow-Morton (HJM) models that both fit the dynamics of real market data and remain tractable.
Edit intent: fluency
Original:  We develop a theory for a continuous path version of such models , and discuss their numerical implementations within the Vasi\v{c and Cox-Ingersoll-Ross frameworks.
Revised:  We develop a theory for a continuous path version of such models and discuss their numerical implementations within the Vasi\v{c and Cox-Ingersoll-Ross frameworks.
Edit intent: fluency
Original:  We develop a theory for a continuous path version of such models , and discuss their numerical implementations within the Vasi\v{c and Cox-Ingersoll-Ross frameworks.
Revised:  We develop a theory for a continuous path version of such models , and discuss their numerical implementations within the Vasicek and Cox-Ingersoll-Ross frameworks.
Edit intent: clarity
Original:  Overall, we show that non-equilibrium steps of transcription initiation systematically increase the cell to cell heterogeneity in bacterial populations.
Revised:  Overall, we show that nonequilibrium steps of transcription initiation systematically increase the cell to cell heterogeneity in bacterial populations.
Edit intent: fluency
Original:  Overall, we show that non-equilibrium steps of transcription initiation systematically increase the cell to cell heterogeneity in bacterial populations.
Revised:  Overall, we show that non-equilibrium steps of transcription initiation systematically increase the cell-to-cell heterogeneity in bacterial populations.
Edit intent: fluency
Original: We study the probability mass at the origin in the  SABR stochastic volatility model, and derive several tractable expressions for it , in particular when time becomes small or large.
Revised: We study the mass at the origin in the SABR stochastic volatility model, and derive several tractable expressions for it , in particular when time becomes small or large.
Edit intent: clarity
Original: We study the probability mass at the origin in the  SABR stochastic volatility model, and derive several tractable expressions for it , in particular when time becomes small or large.
Revised: We study the probability mass at the origin in the SABR stochastic volatility model, and derive several tractable expressions , in particular when time becomes small or large.
Edit intent: clarity
Original:  These formulae, by definition arbitrage-free , allow us to quantify the impact of the mass at zero on currently used implied volatility expansions.
Revised:  These formulae, by definition arbitrage free , allow us to quantify the impact of the mass at zero on currently used implied volatility expansions.
Edit intent: fluency
Original: Financial markets based on L\'evy processes are typically incomplete and option prices depend on risk preferences of individual agents.
Revised: Financial markets based on L\'evy processes are typically incomplete and option prices depend on risk attitudes of individual agents.
Edit intent: clarity
Original:  The question whether a formal language description of solution sets in reduced words as  indexed language is possible has been been open for some years, apparently without much hope that a positive answer could hold.
Revised:  The question of whether a description of solution sets in reduced words as indexed language is possible has been been open for some years, apparently without much hope that a positive answer could hold.
Edit intent: clarity
Original:  The question whether a formal language description of solution sets in reduced words as  indexed language is possible has been been open for some years, apparently without much hope that a positive answer could hold.
Revised:  The question whether a formal language description of solution sets in reduced words as an indexed language is possible has been been open for some years, apparently without much hope that a positive answer could hold.
Edit intent: fluency
Original:  Nevertheless, our positive answer goes far beyond: they are EDT0L, which is a proper subclass of indexed languages.
Revised:  Nevertheless, our answer goes far beyond: they are EDT0L, which is a proper subclass of indexed languages.
Edit intent: clarity
Original:  Our general result became possible due to the recently invented recompression technique of Je\.z.
Revised:  Our general result became possible due to the recent recompression technique of Je\.z.
Edit intent: clarity
Original:  In this paper we use a new way to integrate solutions of linear Diophantine equations into the process and obtain more general results than in the related paper (arXiv 1405.5133).
Revised:  In this paper we use a new method to integrate solutions of linear Diophantine equations into the process and obtain more general results than in the related paper (arXiv 1405.5133).
Edit intent: clarity
Original:  For example, we improve the complexity from quadratic nondeterministic space  to quasi-linear nondeterministic space , and the new bound has the potential to be optimal .
Revised:  For example, we improve the complexity from quadratic nondeterministic space to quasi-linear nondeterministic space here .
Edit intent: clarity
Original:  The conjectured complexity is NP ;
Revised:  The conjectured complexity is NP ,
Edit intent: fluency
Original: Software-defined networking (SDN) enables network and data center (DC) providers with a flexible management of networking resources . SDN is also an appropriate solution for network virtualization since in this way each network component can be placed in a software container .
Revised: Software-defined networking (SDN) enables network and data center (DC) providers to manage their networking resources in a flexible manner using software running on physical computers .
Edit intent: clarity
Original:  The associated structural features and maximum achievable interconnected bandwidth of these modifications is studied for various routing scenarios.
Revised:  The associated structural features and maximum achievable interconnected bandwidth for different routing scenarios.
Edit intent: clarity
Original:  Finally, we run an extensive simulation program to check the performance of the proposed modified topologies in a simulation environment which considers failure of components and also traffic congestion.
Revised:  Finally, we run an extensive simulation program to check the performance of the proposed modified topologies in a simulation environment which considers failure analysis and also traffic congestion.
Edit intent: clarity
Original:  Our simulation experiments  show the efficiency of the proposed modified topologies compared to the classic BCube in terms of the available bandwidth and failure resiliency , as expected .
Revised:  Our simulation experiments show the efficiency of the proposed modified topologies comparing to the classic BCube in terms of the available bandwidth and failure resiliency , as expected .
Edit intent: fluency
Original:  Our simulation experiments  show the efficiency of the proposed modified topologies compared to the classic BCube in terms of the available bandwidth and failure resiliency , as expected .
Revised:  Our simulation experiments show the efficiency of the proposed modified topologies compared to the classic BCube in terms of bandwidth availability and failure resiliency , as expected .
Edit intent: fluency
Original:  Our simulation experiments  show the efficiency of the proposed modified topologies compared to the classic BCube in terms of the available bandwidth and failure resiliency , as expected .
Revised:  Our simulation experiments show the efficiency of the proposed modified topologies compared to the classic BCube in terms of the available bandwidth and failure resiliency .
Edit intent: clarity
Original:  Hence Russia is the country where most of papers are written by single authors whereas Canada is one of the countries where the most of papers are written with international collaborations.
Revised:  Hence Russia is the country where most of papers are written by single authors whereas Canada is one of the countries where the most of papers imply international collaborations.
Edit intent: clarity
Original:  We also study mobility of researchers , determining how some groups of authors spread worldwide with time for different countries.
Revised:  We also study authors mobility , determining how some groups of authors spread worldwide with time for different countries.
Edit intent: clarity
Original:  We also study mobility of researchers , determining how some groups of authors spread worldwide with time for different countries.
Revised:  We also study mobility of researchers , determining how some groups of authors spread worldwide with time in different countries.
Edit intent: fluency
Original:  The largest mobilities (as well as international collaborations) are between USA-UK and USA-Germany.
Revised:  The largest mobilities are between USA-UK and USA-Germany.
Edit intent: clarity
Original: In-silico investigations of skin permeation are an important but also computationally demanding problem.
Revised: In-silico investigation of skin permeation are an important but also computationally demanding problem.
Edit intent: fluency
Original: In-silico investigations of skin permeation are an important but also computationally demanding problem.
Revised: In-silico investigations of skin permeation is an important but also computationally demanding problem.
Edit intent: fluency
Original:  To resolve all involved scales in full detail will probably not only require exascale computing capacities but also suitable parallel algorithms.
Revised:  To resolve all scales involved in full detail will probably not only require exascale computing capacities but also suitable parallel algorithms.
Edit intent: fluency
Original:  To resolve all involved scales in full detail will probably not only require exascale computing capacities but also suitable parallel algorithms.
Revised:  To resolve all involved scales in full detail will not only require exascale computing capacities but also suitable parallel algorithms.
Edit intent: clarity
Original:  A C++ library  implementing Parareal is combined with the UG4 simulation framework, which provides the spatial discretization and parallelization.
Revised:  The C++ library implementing Parareal is combined with the UG4 simulation framework, which provides the spatial discretization and parallelization.
Edit intent: fluency
Original: Cells of the immune system, as well as cancer cells , migrating in confined environment of tissues undergo frequent shape changes (described as amoeboid motion) that enable them to move forward through these porous media without the assistance of adhesion sites.
Revised: Many eukaryotic cells undergo frequent shape changes (described as amoeboid motion) that enable them to move forward through these porous media without the assistance of adhesion sites.
Edit intent: clarity
Original:  A straight AS trajectory in the channel is found to be unstable, and ample lateral excursions of the swimmer prevail.
Revised:  A straight AS trajectory in the channel can become unstable, and ample lateral excursions of the swimmer prevail.
Edit intent: clarity
Original:  We also significantly improve some results on multitype size-dependent Galton-Watson processes obtained by Klebaner .
Revised:  We also significantly improve some results on multitype size-dependent Galton-Watson processes .
Edit intent: clarity
Original: The 60GHz frequency band promises very high data rates -- in the order of Gb/s -- due to the availability of high bandwidth .
Revised: The 60GHz frequency band promises very high data rates -- in the order of Gb/s .
Edit intent: clarity
Original: We extend the theory of quasipotentials in dynamical systems by calculating  an exact potential for the critical fluctuations of pitchfork bifurcations of period-doubling maps in the weak noise limit.
Revised: We extend the theory of quasipotentials in dynamical systems by calculating an exact potential for the critical fluctuations of pitchfork bifurcations in the weak noise limit.
Edit intent: clarity
Original: In the paper we consider the problem of scheduling n identical jobs on 3 uniform batch machines with speeds s_1, s_2, and s_3 to minimize  schedule length.
Revised: In the paper we consider the problem of scheduling n identical jobs on 3 uniform machines with speeds s_1, s_2, and s_3 to minimize schedule length.
Edit intent: clarity
Original: In the paper we consider the problem of scheduling n identical jobs on 3 uniform batch machines with speeds s_1, s_2, and s_3 to minimize  schedule length.
Revised: In the paper we consider the problem of scheduling n identical jobs on 3 uniform batch machines with speeds s_1, s_2, and s_3 to minimize the schedule length.
Edit intent: fluency
Original:  We assume that jobs are restricted by mutual exclusion constraints  modeled by a cubic incompatibility graph.
Revised:  We assume that jobs are subjected to some kind of mutual exclusion constraints modeled by a cubic incompatibility graph.
Edit intent: clarity
Original:  We assume that jobs are restricted by mutual exclusion constraints  modeled by a cubic incompatibility graph.
Revised:  We assume that jobs are restricted by mutual exclusion constraints , modeled by a cubic incompatibility graph.
Edit intent: fluency
Original:  However, in this case there exists an approximation O(n^3) -time algorithm with performance ratio less than 4/3.
Revised:  However, in this case there exists a 4/3-approximation algorithm running in O(n^3) -time algorithm with performance ratio less than 4/3.
Edit intent: clarity