wanyu/IteraTeR_full_sent huggingface dataset:
Original:  Although promoter activity is often governed by a single limiting step, we argue here that the size of the noise strongly depends on whether this step is the initial equilibrium binding or one of the subsequent uni-directional steps.
Revised:  Although promoter activity is often governed by a single limiting step, we argue here that the size of the noise strongly depends on whether this step is the initial equilibrium binding or one of the subsequent unidirectional steps.
Edit intent: fluency
Original:  We characterize capital adequacy tests that satisfy surplus and num\'{e invariance, establish an intimate link between these requirements, and highlight an inherent tension between the ability to meet them and the desire to give credit for diversification.
Revised:  We characterize capital adequacy tests that satisfy surplus and num\'eraire invariance, establish an intimate link between these requirements, and highlight an inherent tension between the ability to meet them and the desire to give credit for diversification.
Edit intent: fluency
Original:  From these objectives we derive two normative requirements for capital adequacy tests, called surplus and num\'eraire invariance, respectively. We characterize capital adequacy tests that satisfy surplus and num\'eraire invariance, establish an intimate link between these requirements, and highlight an inherent tension between the ability to meet them and the desire to give credit for diversification raire.
Revised:  From these objectives we derive two normative requirements for capital adequacy tests, i.e. tests that do not depend on the surplus of a financial institution. We provide a complete characterization of closed, convex, surplus-invariant capital adequacy tests that satisfy surplus and num\'eraire invariance, establish an intimate link between these requirements, and highlight an inherent tension between the ability to meet them and the desire to give credit for diversification raire.
Edit intent: meaning-changed
Original:  We characterize capital adequacy tests that satisfy surplus and num\'eraire invariance, establish an intimate link between these requirements, and highlight an inherent tension between the ability to meet them and the desire to give credit for diversification raire.
Revised:  We characterize capital adequacy tests that satisfy surplus and num\'eraire invariance, establish an intimate link between these requirements, and highlight an inherent tension between surplus-invariance and the desire to give credit for diversification raire.
Edit intent: clarity
Original:  We characterize capital adequacy tests that satisfy surplus and num\'eraire invariance, establish an intimate link between these requirements, and highlight an inherent tension between the ability to meet them and the desire to give credit for diversification raire.
Revised:  We characterize capital adequacy tests that satisfy surplus and num\'eraire invariance, establish an intimate link between these requirements, and highlight an inherent tension between the ability to meet them and the desire to give credit for diversification . The second objective leads to requiring consistency of capital adequacy tests across jurisdictions. Of particular importance in this respect are capital adequacy tests that remain invariant under a change of num\'{eraire.
Edit intent: meaning-changed
Original:  In the uncorrelated case, tedious saddlepoint expansions allow for (semi) closed-form asymptotic formulae. As an application--the original motivation for this paper--we derive small-strike expansions for the implied volatility when the maturity becomes short or large.
Revised:  As an application--in fact the original motivation for this paper--we derive small-strike expansions for the implied volatility when the maturity becomes short 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. In particular we discuss how much those expansions become erroneous .
Revised:  These formulae, by definition arbitrage-free , allow us to quantify the impact of the mass at zero on existing implied volatility approximations, and in particular how correct/erroneous these approximations become .
Edit intent: clarity
Original:  While limited speedup from the time parallelization is shown to be possible, load balancing is identified as an important issue in the application of Pararealwith implicit integrators to complex PDEs .
Revised:  It is confirmed that anisotropies in the domain and jumps in diffusion coefficients only have a minor impact on Parareal's convergence. The influence of load imbalances in time due to differences in number of iterations required by the spatial solver as well as spatio-temporal weak scaling is discussed .
Edit intent: meaning-changed
Original: Although it has long been suggested that accumulation of errors in transcription and translation is one of the most important molecular mechanisms leading to ageing , a quantitative link between the error accumulation dynamics and mortality of species has so far remained elusive.
Revised: Although it has long been suggested that accumulation of errors in transcription and translation is one of the most important molecular mechanisms leading to ageing , a quantitative link between the dynamics of damage accumulation and mortality of species has so far remained elusive.
Edit intent: clarity
Original:  We study stability properties of a generic gene regulatory network (GRN) and demonstrate that phenomenology of ageing and the associated population mortality rate can be naturally described in terms of critical dynamics of gene regulation and metabolic profiles.
Revised:  To address this question, we examine stability properties of a generic gene regulatory network (GRN) and demonstrate that phenomenology of ageing and the associated population mortality rate can be naturally described in terms of critical dynamics of gene regulation and metabolic profiles.
Edit intent: meaning-changed
Original:  We study stability properties of a generic gene regulatory network (GRN) and demonstrate that phenomenology of ageing and the associated population mortality rate can be naturally described in terms of critical dynamics of gene regulation and metabolic profiles.
Revised:  We study stability properties of a generic gene regulatory network (GRN) and demonstrate that many characteristics of aging and the associated population mortality rate can be naturally described in terms of critical dynamics of gene regulation and metabolic profiles.
Edit intent: clarity
Original:  We study stability properties of a generic gene regulatory network (GRN) and demonstrate that phenomenology of ageing and the associated population mortality rate can be naturally described in terms of critical dynamics of gene regulation and metabolic profiles.
Revised:  We study stability properties of a generic gene regulatory network (GRN) and demonstrate that phenomenology of ageing and the associated population mortality rate emerge as inherent properties of the critical dynamics of gene regulation and metabolic profiles.
Edit intent: clarity
Original:  We study stability properties of a generic gene regulatory network (GRN) and demonstrate that phenomenology of ageing and the associated population mortality rate can be naturally described in terms of critical dynamics of gene regulation and metabolic profiles. We analyze age-dependent microarray datasets and metabolic profiles forDrosophila melanogaster and explicitly show that the resulting GRNs are nearly critical and inherently unstable.
Revised:  We study stability properties of a generic gene regulatory network (GRN) and demonstrate that phenomenology of ageing and the associated population mortality rate can be naturally described in terms of critical dynamics of gene regulation and metabolic levels. Based on the analysis of age-dependent microarray datasets and metabolic profiles forDrosophila melanogaster and explicitly show that the resulting GRNs are nearly critical and inherently unstable.
Edit intent: clarity
Original:  We analyze age-dependent microarray datasets and metabolic profiles forDrosophila melanogaster and explicitly show that the resulting GRNs are nearly critical and inherently unstable.
Revised:  We analyze age-dependent microarray datasets and metabolic profiles forDrosophila melanogaster in Drosophila melanogaster, we explicitly show that the resulting GRNs are nearly critical and inherently unstable.
Edit intent: meaning-changed
Original:  This instability manifests itself as ageing in the form of exponential distortions of gene expressions and metabolic profiles with age, and causes the characteristic increase in mortality rate with age as described by  the Gompertz law.
Revised:  This instability manifests itself as aging in the form of exponential distortions of gene expressions and metabolic profiles with age, and causes the characteristic increase in mortality rate with age as described by the Gompertz law.
Edit intent: fluency
Original:  This instability manifests itself as ageing in the form of exponential distortions of gene expressions and metabolic profiles with age, and causes the characteristic increase in mortality rate with age as described by  the Gompertz law.
Revised:  This instability manifests itself as ageing in the form of distortion of gene expression and metabolic profiles with age, and causes the characteristic increase in mortality rate with age as described by the Gompertz law.
Edit intent: clarity
Original:  This instability manifests itself as ageing in the form of exponential distortions of gene expressions and metabolic profiles with age, and causes the characteristic increase in mortality rate with age as described by  the Gompertz law.
Revised:  This instability manifests itself as ageing in the form of exponential distortions of gene expressions and metabolic profiles with age, and causes the characteristic increase in mortality rate with age as described by a form of the Gompertz law.
Edit intent: meaning-changed
Original:  We show that ageing contains both a stochastic component, related to regulatory error accumulation in transcription/translation/metabolic pathways , and a strong deterministic component, which can be naturally associated with a part of a development programme.
Revised:  We show that aging contains a stochastic component, related to regulatory error accumulation in transcription/translation/metabolic pathways , and a strong deterministic component, which can be naturally associated with a part of a development programme.
Edit intent: clarity
Original:  We show that ageing contains both a stochastic component, related to regulatory error accumulation in transcription/translation/metabolic pathways , and a strong deterministic component, which can be naturally associated with a part of a development programme.
Revised:  We show that ageing contains both a stochastic component, related to accumulation of regulatory errors in transcription/translation/metabolic pathways , and a strong deterministic component, which can be naturally associated with a part of a development programme.
Edit intent: fluency
Original:  We show that ageing contains both a stochastic component, related to regulatory error accumulation in transcription/translation/metabolic pathways , and a strong deterministic component, which can be naturally associated with a part of a development programme.
Revised:  We show that ageing contains both a stochastic component, related to regulatory error accumulation in transcription/translation/metabolic pathways due to imperfection of signaling cascades in the network and of responses to environmental factors. We also establish that there is a strong deterministic component, which can be naturally associated with a part of a development programme.
Edit intent: meaning-changed
Original:  We show that ageing contains both a stochastic component, related to regulatory error accumulation in transcription/translation/metabolic pathways , and a strong deterministic component, which can be naturally associated with a part of a development programme. We conclude on this basis that two opposing hypotheses of ageing, error accumulation and programmed ageing are in fact compatible with each other.
Revised:  We show that ageing contains both a stochastic component, related to regulatory error accumulation in transcription/translation/metabolic pathways , and a strong deterministic component, suggesting genetic control.
Edit intent: clarity
Original:  For the joint dynamics of the best bid price  and the standing buy volume density we derive a weak law of large numbers, which states that the LOB model converges to a continuous-time limit when the size of an individual order as well as the tick size tend to zero and the order arrival rate tends to infinity.
Revised:  For the joint dynamics of the best bid price , the best ask price, and the standing buy volume density we derive a weak law of large numbers, which states that the LOB model converges to a continuous-time limit when the size of an individual order as well as the tick size tend to zero and the order arrival rate tends to infinity.
Edit intent: meaning-changed
Original:  For the joint dynamics of the best bid price  and the standing buy volume density we derive a weak law of large numbers, which states that the LOB model converges to a continuous-time limit when the size of an individual order as well as the tick size tend to zero and the order arrival rate tends to infinity.
Revised:  For the joint dynamics of the best bid price and the standing volume densities on both sides of the LOB we derive a weak law of large numbers, which states that the LOB model converges to a continuous-time limit when the size of an individual order as well as the tick size tend to zero and the order arrival rate tends to infinity.
Edit intent: meaning-changed
Original:  3D printing technology opens the door for a new field  at the intersection of experimental data, computational biology and physical modeling for study of biological systems, such as protein folding at nano-scale.
Revised: Accurate physical modeling with 3D-printing techniques could lead to new approaches to study structure and dynamics of biological systems complementing computational methods. Computational biology has become an important part of research over the last couple of decades. Now 3D printing technology opens the door for a new field at the intersection of experimental data, computational biology and physical modeling for study of biological systems, such as protein folding at nano-scale.
Edit intent: coherence
Original:  3D printing technology opens the door for a new field  at the intersection of experimental data, computational biology and physical modeling for study of biological systems, such as protein folding at nano-scale.
Revised:  3D printing technology opens the door for a new field , Physical Biomodeling, at the intersection of experimental data, computational biology and physical modeling for study of biological systems, such as protein folding at nano-scale.
Edit intent: meaning-changed
Original:  Key insights: * 3D-printing enabled new possibilities for scientific modeling: We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models of biomolecular models can be designed to- scale that can serve as research tools  along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Revised:  Here I explore this new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models of biomolecular models can be designed to- scale that can serve as research tools along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Edit intent: coherence
Original:  We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models of biomolecular models can be designed to- scale that can serve as research tools  along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Revised:  We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems and future possibilities. Dynamic physical models of biomolecular models can be designed to- scale that can serve as research tools along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Edit intent: meaning-changed
Original:  We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models of biomolecular models can be designed to- scale that can serve as research tools  along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Revised:  We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models can be designed to- scale that can serve as research tools along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Edit intent: clarity
Original:  We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models of biomolecular models can be designed to- scale that can serve as research tools  along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Revised:  We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models of biomolecular models can be designed to-scale that can serve as research tools along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Edit intent: fluency
Original:  We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models of biomolecular models can be designed to- scale that can serve as research tools  along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Revised:  We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models of biomolecular models can be designed to- scale that can serve as research tools in future along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Edit intent: clarity
Original:  We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models of biomolecular models can be designed to- scale that can serve as research tools  along with existing biocomputational tools and databases . * Accurate physical modeling with 3D-printing techniques will lead to new approaches to study dynamics of biological systems complementing computational methods .
Revised:  We explore a new domain of precision physical modeling and correlate it with existing visualization and computational systems . * Dynamic physical models of biomolecular models can be designed to- scale that can serve as research tools along with existing biocomputational tools and databases , adding a third angle to tackle unsolved scientific problems .
Edit intent: coherence
Original: Detection of binomiality of polynomial systems is discussed. The focus is on linear-algebraic methods which are applicable to a class of large examples where Gr\"obner basis methods fail. The results are illustrated on steady state equations in chemical reaction network theory .
Revised: Binomial ideals are special polynomial ideals with many algorithmically and theoretically nice properties. We discuss the problem of deciding if a given polynomial ideal is binomial. While the methods are general, our main motivation and source of examples is the simplification of steady state equations in chemical reaction network theory .
Edit intent: meaning-changed
Original:  The results are illustrated on steady state equations in chemical reaction network theory .
Revised:  The results are illustrated on steady state equations of chemical reaction networks. For homogeneous ideals we give an efficient, Gr\"obner-free algorithm for binomiality detection, based on linear algebra only. On inhomogeneous input the algorithm can only give a sufficient condition for binomiality. As a remedy we construct a heuristic toolbox that can lead to simplifications even if the given ideal is not binomial .
Edit intent: meaning-changed
Original: Counting the number of local extrema of the cumulative sum of data points yields the R-test, a new single-sample non-parametric test.
Revised: A new family of nonparametric statistics, the r-statistics, is introduced. It consists of counting the number of records of local extrema of the cumulative sum of data points yields the R-test, a new single-sample non-parametric test.
Edit intent: meaning-changed
Original: Counting the number of local extrema of the cumulative sum of data points yields the R-test, a new single-sample non-parametric test. Numeric simulations indicate that the R-test is more powerful than Student's t-test for semi-heavy and heavy-tailed distributions, equivalent for Gaussian variables and slightly worse for uniformly distributed variables .
Revised: Counting the number of local extrema of the cumulative sum of data points yields the R-test, a new single-sample r-statistic is almost as powerful as Student's t-test for semi-heavy and heavy-tailed distributions, equivalent for Gaussian variables and slightly worse for uniformly distributed variables .
Edit intent: clarity
Original:  Numeric simulations indicate that the R-test is more powerful than Student's t-test for semi-heavy and heavy-tailed distributions, equivalent for Gaussian variables and slightly worse for uniformly distributed variables .
Revised:  Numeric simulations indicate that the R-test is more powerful than Student's t-statistic for Gaussian and heavy-tailed distributions, equivalent for Gaussian variables and slightly worse for uniformly distributed variables .
Edit intent: clarity