wanyu/IteraTeR_full_sent huggingface dataset:
Original:  First, we establish in full generality the equivalence between the extremality of a given measure Q and the denseness in L^1(Q) of a suitable linear subspace, which can be seen  as the set of all semi-static trading strategies.
Revised:  First, we establish in full generality the equivalence between the extremality of a given measure Q and the denseness in L^1(Q) of a suitable linear subspace, which can be seen in a financial context as the set of all semi-static trading strategies.
Edit intent: meaning-changed
Original:  When the support of the first marginal is a finite set, we give a necessary and sufficient condition for the WEP to hold in terms of the new concept of 2-net  . Finally, we study the relation between cycles and extremality.
Revised:  When the support of the first marginal is a finite set, we give a necessary and sufficient condition for the WEP to hold in terms of the new concepts of 2-net . Finally, we study the relation between cycles and extremality.
Edit intent: fluency
Original:  When the support of the first marginal is a finite set, we give a necessary and sufficient condition for the WEP to hold in terms of the new concept of 2-net  . Finally, we study the relation between cycles and extremality.
Revised:  When the support of the first marginal is a finite set, we give a necessary and sufficient condition for the WEP to hold in terms of the new concept of 2-net and deadlock . Finally, we study the relation between cycles and extremality.
Edit intent: meaning-changed
Original: Theoretical results regarding two-dimensional ordinary-differential equations (ODEs) with second-degree polynomial right-hand sides are summarized, with a focus on multistability, limit cyclesand limit  cycle bifurcations  .
Revised: Theoretical results regarding two-dimensional ordinary-differential equations (ODEs) with second-degree polynomial right-hand sides are summarized, with a focus on multistability, limit cyclesand limit cycles, limit cycle bifurcations .
Edit intent: fluency
Original: Theoretical results regarding two-dimensional ordinary-differential equations (ODEs) with second-degree polynomial right-hand sides are summarized, with a focus on multistability, limit cyclesand limit  cycle bifurcations  .
Revised: Theoretical results regarding two-dimensional ordinary-differential equations (ODEs) with second-degree polynomial right-hand sides are summarized, with a focus on multistability, limit cyclesand limit cycle bifurcations and multistability .
Edit intent: meaning-changed
Original:  The deterministic solutions (obtained by solving the kinetic ODEs) and stochastic solutions ( obtained by generating noisy time-series using the Gillespie algorithm  ) of the constructed systems are compared, and the observed differences highlighted.
Revised:  The deterministic solutions (obtained by solving the kinetic ODEs) and stochastic solutions ( noisy time-series using the Gillespie algorithm ) of the constructed systems are compared, and the observed differences highlighted.
Edit intent: clarity
Original:  The deterministic solutions (obtained by solving the kinetic ODEs) and stochastic solutions ( obtained by generating noisy time-series using the Gillespie algorithm  ) of the constructed systems are compared, and the observed differences highlighted.
Revised:  The deterministic solutions (obtained by solving the kinetic ODEs) and stochastic solutions ( obtained by generating noisy time-series generating by the Gillespie algorithm ) of the constructed systems are compared, and the observed differences highlighted.
Edit intent: clarity
Original:  The deterministic solutions (obtained by solving the kinetic ODEs) and stochastic solutions ( obtained by generating noisy time-series using the Gillespie algorithm  ) of the constructed systems are compared, and the observed differences highlighted.
Revised:  The deterministic solutions (obtained by solving the kinetic ODEs) and stochastic solutions ( obtained by generating noisy time-series using the Gillespie algorithm , and the underlying probability distributions obtained by solving the chemical master equation (CME) ) of the constructed systems are compared, and the observed differences highlighted.
Edit intent: meaning-changed
Original:  We also investigate the effect of heterogeneity on the "flocking behavior" of different agents, i.e., when agents with different dynamics end up behaving the same way in path space and follow closely the mean behavior of the system.
Revised:  We also investigate the effect of heterogeneity on the "flocking behavior" of different agents, i.e., when agents with different dynamics end up following very similar paths and follow closely the mean behavior of the system.
Edit intent: clarity
Original: We report the use of synthetic vesicles formed by amphiphilic block copolymers in water ( or polymersomes) to encapsulate myoglobin varying the vesicle size, and protein concentration.
Revised: We report the use of synthetic vesicles formed by amphiphilic block copolymers in water ( known as polymersomes) for encapsulating proteins, varying the vesicle size, and protein concentration.
Edit intent: clarity
Original:  We show that confinement within polymersomes leads to a significant improvement in protein stability against thermal denaturation up to 95degC at neutral pH, with little or no evidence of unfolding or reduced enzymatic activity.
Revised:  We show that confinement within polymersomes core corresponds to a liquid-liquid phase transition with the protein/water within lumen interacting very differently than in bulk. We show this effect leads to considerable structural changes on the proteins with evidence suggesting non-alpha helical conformations. Most importantly both aspects lead to a significant improvement in protein stability against thermal denaturation up to 95degC at neutral pH, with little or no evidence of unfolding or reduced enzymatic activity.
Edit intent: meaning-changed
Original:  We show that confinement within polymersomes leads to a significant improvement in protein stability against thermal denaturation up to 95degC at neutral pH, with little or no evidence of unfolding or reduced enzymatic activity.
Revised:  We show that confinement within polymersomes leads to a significant improvement on protein stability against thermal denaturation up to 95degC at neutral pH, with little or no evidence of unfolding or reduced enzymatic activity.
Edit intent: clarity
Original:  The latter parameter actually exhibits a two-fold increase after thermal cycling when the confined protein concentration is higher than 5\% v/v . Our results suggest that nanoscopic confinement is a promising new avenue for the enhanced long-term storage of proteins.
Revised:  The latter parameter does indeed exhibit an increase after thermal cycling when the confined protein concentration is higher than 5\% v/v . Our results suggest that nanoscopic confinement is a promising new avenue for the enhanced long-term storage of proteins.
Edit intent: clarity
Original:  The latter parameter actually exhibits a two-fold increase after thermal cycling when the confined protein concentration is higher than 5\% v/v . Our results suggest that nanoscopic confinement is a promising new avenue for the enhanced long-term storage of proteins.
Revised:  The latter parameter actually exhibits a two-fold increase after thermal cycling . Our results suggest that nanoscopic confinement is a promising new avenue for the enhanced long-term storage of proteins.
Edit intent: clarity
Original:  Moreover, our work has potentially important implications for the origin of life, since such compartmentalisation may well have been critical for ensuring the preservation of early functional proteins under relatively harsh conditions, thus playing a key role in the subsequent emergence of primitive life forms.
Revised:  Moreover, our investigations have potentially important implications for the origin of life, since such compartmentalisation may well have been critical for ensuring the preservation of early functional proteins under relatively harsh conditions, thus playing a key role in the subsequent emergence of primitive life forms.
Edit intent: clarity
Original:  Moreover, our work has potentially important implications for the origin of life, since such compartmentalisation may well have been critical for ensuring the preservation of early functional proteins under relatively harsh conditions, thus playing a key role in the subsequent emergence of primitive life forms.
Revised:  Moreover, our work has potentially important implications for the origin of life, since such compartmentalization may well have been critical for ensuring the preservation of early functional proteins under relatively harsh conditions, thus playing a key role in the subsequent emergence of primitive life forms.
Edit intent: fluency
Original:  Moreover, our work has potentially important implications for the origin of life, since such compartmentalisation may well have been critical for ensuring the preservation of early functional proteins under relatively harsh conditions, thus playing a key role in the subsequent emergence of primitive life forms.
Revised:  Moreover, our work has potentially important implications for the origin of life, since such compartmentalisation may well have been critical for ensuring the preservation of primordial functional proteins under relatively harsh conditions, thus playing a key role in the subsequent emergence of primitive life forms.
Edit intent: clarity
Original: We report the use of synthetic vesicles formed by amphiphilic block copolymers in water (known as polymersomes) for encapsulating proteins, varying the vesicle size, and protein concentration. We show that confinement within polymersomes core corresponds to a liquid-liquid phase transition with the protein/water within  lumen interacting very differently than in bulk.
Revised: We report that protein confinement within nanoscopic vesicular compartments corresponds to a liquid-liquid phase transition with the protein/water within lumen interacting very differently than in bulk.
Edit intent: clarity
Original:  SDDS is a modeling framework that considers two propensity parameters for updating each node and uses one when the update has a positive impact on the variable, that is, when the update causes the variable to increase its value, and uses the other when the update has a negative impact, that is, when the update causes it to decrease its value.
Revised:  Stochastic Discrete Dynamical Systems (SDDS) is a modeling framework that considers two propensity parameters for updating each node and uses one when the update has a positive impact on the variable, that is, when the update causes the variable to increase its value, and uses the other when the update has a negative impact, that is, when the update causes it to decrease its value.
Edit intent: meaning-changed
Original:  The method is based on adding noise to the system using the Google PageRank approach to make the system ergodic and thus guaranteeing the existence of a stationary distribution and then with the use of a genetic algorithm  the propensity parameters are estimated.
Revised:  The method is based on adding noise to the system using the Google PageRank approach to make the system ergodic and thus guaranteeing the existence of a stationary distribution . Then with the use of a genetic algorithm the propensity parameters are estimated.
Edit intent: coherence
Original:  The method is based on adding noise to the system using the Google PageRank approach to make the system ergodic and thus guaranteeing the existence of a stationary distribution and then with the use of a genetic algorithm  the propensity parameters are estimated.
Revised:  The method is based on adding noise to the system using the Google PageRank approach to make the system ergodic and thus guaranteeing the existence of a stationary distribution and then with the use of a genetic algorithm , the propensity parameters are estimated.
Edit intent: fluency
Original:  Building on the earlier work Larsen et al. ( 2014 ), we prove that the value of the problem is a Frechet-differentiable function of the drift of the price process, provided that this drift lies in a suitable Banach space.
Revised:  Building on the earlier work Larsen et al. ( 2016 ), we prove that the value of the problem is a Frechet-differentiable function of the drift of the price process, provided that this drift lies in a suitable Banach space.
Edit intent: meaning-changed
Original: In this paper we propose that eukaryotic cells, under severe genotoxic stress, can commit genoautotomy (genome 'self-injury') that involves cutting and releasing single-strand DNA (ssDNA) fragments from double-stranded DNA and leaving ssDNA gaps in the genome.
Revised: This paper proposes that eukaryotic cells, under severe genotoxic stress, can commit genoautotomy (genome 'self-injury') that involves cutting and releasing single-strand DNA (ssDNA) fragments from double-stranded DNA and leaving ssDNA gaps in the genome.
Edit intent: coherence
Original: In this paper we propose that eukaryotic cells, under severe genotoxic stress, can commit genoautotomy (genome 'self-injury') that involves cutting and releasing single-strand DNA (ssDNA) fragments from double-stranded DNA and leaving ssDNA gaps in the genome.
Revised: In this paper we propose that eukaryotic cells, under severe genotoxic stress, can commit genoautotomy (genome 'self-injury') that involves cutting and releasing single-stranded DNA (ssDNA) fragments from double-stranded DNA and leaving ssDNA gaps in the genome.
Edit intent: fluency
Original: Sector-wise productivity growths are measured, along with the sectoral elasticity of substitutions, under the multi-factor CES framework, by regressing the growths of factor-wise cost shares against the growths of relative factor prices.
Revised: Sector specific multifactor CES elasticity of substitution and the corresponding productivity growths are measured, along with the sectoral elasticity of substitutions, under the multi-factor CES framework, by regressing the growths of factor-wise cost shares against the growths of relative factor prices.
Edit intent: meaning-changed
Original: Sector-wise productivity growths are measured, along with the sectoral elasticity of substitutions, under the multi-factor CES framework, by regressing the growths of factor-wise cost shares against the growths of relative factor prices.
Revised: Sector-wise productivity growths are measured, along with the sectoral elasticity of substitutions, under the multi-factor CES framework, by regressing the growths of factor-wise cost shares against the growths of factor prices.
Edit intent: clarity
Original:  We then construct a multi-sectoral general equilibrium model using the system of estimated CES unit cost functions, and evaluate the economy-wide propagation of an exogenous productivity gain , in terms of welfare.
Revised:  We then construct a multi-sectoral general equilibrium model using the system of estimated CES unit cost functions, and evaluate the economy-wide propagation of an exogenous productivity stimuli , in terms of welfare.
Edit intent: clarity
Original: Using theory on (conditionally) Gaussian processes with stationary increments developed in Barndorff-Nielsen et al. (2009, 2011), this paper presents a general semiparametric approach to conducting inference on the fractal index , \alpha, of a time series. Our setup encompasses a large class of Gaussian processes and we show how to extend it to a large class of non-Gaussian models as well.
Revised: Using theory on (conditionally) Gaussian processes with stationary increments developed in Barndorff-Nielsen et al. (2009, 2011), this paper presents a general semiparametric approach to conducting inference on the fractal index of a stochastic process. Our framework is very general and encompasses many models of interest; we show how to extend it to a large class of non-Gaussian models as well.
Edit intent: meaning-changed
Original:  Our setup encompasses a large class of Gaussian processes and we show how to extend it to a large class of non-Gaussian models as well. It is proved that the asymptotic distribution of the estimator of \alpha does not depend on the specifics of the data generating process for the observations, but only on the value of \alpha and a "heteroskedasticity" factor. Using this, we propose a simulation-based approach to inference, which is easily implemented and is valid more generally than asymptotic analysis. We detail how the methods can be applied to test whether a stochastic process is a non-semimartingale .
Revised:  Our setup encompasses a large class of Gaussian processes and we show how to extend it to a large class of non-Gaussian processes. Particular focus is on clarity and ease of implementation of the estimator and the associated asymptotic results, making it easy for practitioners to apply the methods. We further develop a new estimator which is robust to measurement noise in the observations .
Edit intent: coherence
Original:  Finally, the methods are illustrated in two empirical applications motivated from finance. We study time seriesof log-prices and log-volatility from 29 individual US stocks; no evidence of non-semimartingality in asset prices is found, but we do find evidence of non-semimartingality in volatility. This confirms a recently proposed conjecture that stochastic volatility processes of financial assets are rough (Gatheral et al., 2014) .
Revised:  Finally, the methods are illustrated on two time series; one of turbulent velocity flows and one of financial prices .
Edit intent: clarity
Original:  We  show that the number of products we can make now gives a distorted view of the number we can make in the future: the more complex a product is, the more it gets under-represented.
Revised:  We test it on data from language, gastronomy and technology. We show that the number of products we can make now gives a distorted view of the number we can make in the future: the more complex a product is, the more it gets under-represented.
Edit intent: meaning-changed
Original:  We  show that the number of products we can make now gives a distorted view of the number we can make in the future: the more complex a product is, the more it gets under-represented. From this complexity discount we derive a strategy for increasing the rate of innovation by choosing components on the basis of long-term growth rather than just short-term gain .
Revised:  We show that the rate of innovation depends on the size distribution of products, and that a small number of simple products can dramatically increase the innovation rate. By strategically choosing which components to adopt, we show how to increase the innovation rate to achieve short-term gain .
Edit intent: clarity
Original:  From this complexity discount we derive a strategy for increasing the rate of innovation by choosing components on the basis of long-term growth rather than just short-term gain . We test our model on data from language, gastronomy and technology and predict the best strategy for innovating in each .
Revised:  From this complexity discount we derive a strategy for increasing the rate of innovation by choosing components on the basis of long-term growth rather than just short-term gain or long-term growth .
Edit intent: clarity
Original:  We derive a theory of innovationin which products are composed of components and new components are adopted one at a time.
Revised:  There is a tension between a managerial school, which seeks a systematic prescription for innovation, and a visionary school, which ascribes innovation to serendipity and the intuition of great minds. We therefore provide a mathematical foundation for innovation---in which products are made of components and new components are adopted one at a time.
Edit intent: meaning-changed
Original:  We derive a theory of innovationin which products are composed of components and new components are adopted one at a time. We test it on data from language, gastronomy and technology.
Revised:  We derive a theory of innovationin which products are composed of components and new components are adopted one at a time---which serves as a common framework for both. We apply our model to data from language, gastronomy and technology.
Edit intent: meaning-changed
Original:  There is a tension between a managerial school, which seeks a systematic prescription for innovation, and a visionary school, which ascribes innovation to serendipity and the intuition of great minds. We therefore provide a mathematical foundation for innovation---in which products are made of components and components are acquired one at a time---which serves as a common framework for both. We apply our model to data from language, gastronomy and technology.
Revised:  On the one URLanizations invest heavily in systematic strategies to drive innovation. On the other, historical analysis and individual experience suggest that serendipity plays a significant role in the discovery process. To unify these two perspectives, we analyzed the mathematics of innovation as a search process for viable designs across a universe of building blocks. We then tested our insights using historical data from language, gastronomy and technology.
Edit intent: clarity
Original:  By strategically choosing which components to adopt as the innovation process unfolds, we can alter the innovation rate to achieve short-term gain or long-term growth .
Revised:  By measuring the number of makeable designs as we acquire more components, we observed that the relative usefulness of different components is not fixed, but cross each other over time. When these crossovers are unanticipated, they appear to be the result of serendipity. But when we can predict crossovers ahead of time, they offer an opportunity to strategically increase the growth of our product space. Thus we find that the serendipitous and strategic visions of innovation can be viewed as different manifestations of the same thing: the changing importance of component building blocks over time .
Edit intent: coherence
Original:  In this letter , we focus on the effect of multivalent co-ions, specifically divalent coion such as SO_4^{2-} , on the strongly correlated electrostatics of DNA condensation problem .
Revised:  In this papers , we focus on the effect of multivalent co-ions, specifically divalent coion such as SO_4^{2-} , on the strongly correlated electrostatics of DNA condensation problem .
Edit intent: clarity
Original:  In this letter , we focus on the effect of multivalent co-ions, specifically divalent coion such as SO_4^{2-} , on the strongly correlated electrostatics of DNA condensation problem .
Revised:  In this letter , we focus on the effect of multivalent co-ions, specifically divalent co-ions such as SO_4^{2-} , on the strongly correlated electrostatics of DNA condensation problem .
Edit intent: fluency
Original:  A computational experiment of DNA condensation using Monte-Carlo simulation in grand canonical ensemble is carried out where DNA system is in equilibirium with a bulk solution containing a mixture of salt of different valency of co-ions.
Revised:  A computational experiment of DNA condensation using Monte-Carlo simulation in grand canonical ensemble is carried out where DNA system is in equilibrium with a bulk solution containing a mixture of salt of different valency of co-ions.
Edit intent: fluency
Original:  Additionally, strong repulsions between DNA and divalent co-ions and among divalent co-ions themselves leads to a {\em depletion} of negative ions near DNA surface as compared to the case without divalent co-ions.
Revised:  The overcharging of DNA by multivalent counterions is also reduced in the presence of divalent co-ions. Strong repulsions between DNA and divalent co-ions and among divalent co-ions themselves leads to a {\em depletion} of negative ions near DNA surface as compared to the case without divalent co-ions.
Edit intent: meaning-changed