wanyu/IteraTeR_v2 huggingface dataset:
Original:  By contrast, if competition is mediated by the consumption of a common resource then demographic noise leads to the stabilisation of species with near minimal fitness.
Revised:  By contrast, if competition is mediated by the consumption of a common resource then demographic noise leads to the stabilization of species with near minimal fitness.
Edit intent: fluency
Original:  Moreover, we provide a polynomial upper bound of O(m^4D^2 + mD\log k  ) on the number of steps it takes for the system to stabilize.
Revised:  Moreover, we provide polynomial upper bounds of O(m^4D^2 + mD\log k ) on the number of steps it takes for the system to stabilize.
Edit intent: fluency
Original:  This property provides us the tools to efficiently detect whether a given system configuration corresponds to the transient or to the limit behaviour of the system.
Revised:  This property provides us the tools to efficiently detect whether a given system configuration corresponds to the transient or to the limit behavior of the system.
Edit intent: fluency
Original:  In 1931 Haldane and Waddington derived the RIL genotype probabilities for 2 loci and then extended them to 3 loci.
Revised:  In 1931 Haldane and Waddington derived the probabilities of RILs when considering 2 loci and then extended them to 3 loci.
Edit intent: clarity
Original:  In 1931 Haldane and Waddington derived the RIL genotype probabilities for 2 loci and then extended them to 3 loci.
Revised:  In 1931 Haldane and Waddington derived the RIL genotype probabilities for 2 and 3 loci.
Edit intent: clarity
Original:  Interestingly, the cases of 4 or more loci have remained elusive.
Revised:  Interestingly, the cases of 4 or more genes has remained elusive.
Edit intent: clarity
Original:  Extensions of the framework can be of use in other kinds of RILs or population genetics problems .
Revised:  Extensions of the framework may have applications in population genetics and beyond .
Edit intent: clarity
Original: In 1932 , Max Kleiber found that the basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/ 4, but this law is still a matter of controversy.
Revised: In 1932 Max Kleiber found that the basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/ 4, but this law is still a matter of controversy.
Edit intent: fluency
Original:  Here we show that the origin of Kleiber's law is the balance between the energy lost as heat and the energy efficiently used by the organism to maintain its metabolism.
Revised:  Here we show that the origin of Kleiber's law emerges as the trade-off between the energy lost as heat and the energy efficiently used by the organism to maintain its metabolism.
Edit intent: clarity
Original:  Our model is based on the fact that a fraction of the energy income is not converted into heat and this consideration has a radical effect in the shape of the law .
Revised:  This balance tunes the ultimate shape of the law .
Edit intent: clarity
Original:  As a matter of fact, the universality of exponent 3/4 -claimed in terms of the fractal properties of the nutrient network- has recently been challenged according to empirical evidence that observed a zoology of robust exponents deviating from 3/4.
Revised:  As a matter of fact, the universality of exponent 3/4 -claimed in terms of the fractal properties of the nutrient network- has recently been challenged according to empirical evidence that observed a wealth of robust exponents deviating from 3/4.
Edit intent: clarity
Original:  This balance tunes the ultimate shape of the law and as such, different effective scalings are recovered as particular cases, thereby reconciling previously inconsistent empirical evidence in mammals, birds, insects and even plants under a unified approach .
Revised:  This balance tunes the ultimate shape of the law and as such, different effective scalings are recovered as particular cases, thereby reconciling previously inconsistent empirical evidence in mammals, birds, insects and even plants under a unified framework .
Edit intent: clarity
Original:  The model is biologically sound, and besides its predictive power on the metabolic scaling shape, it explains additional features such as the relation between energy lost as heat and mass or the role and influence of different climatic environments.
Revised:  The model is biologically sound, and also explains additional features such as the relation between energy lost as heat and mass or the role and influence of different climatic environments.
Edit intent: coherence
Original: The origin and shape of metabolic scaling has been a controversial debate since Kleiber found that the basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/4, instead of 2/3, as a surface-to-volume argument would predict .
Revised: The origin and shape of metabolic scaling has been controversial since Kleiber found that the basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/4, instead of 2/3, as a surface-to-volume argument would predict .
Edit intent: clarity
Original: The origin and shape of metabolic scaling has been a controversial debate since Kleiber found that the basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/4, instead of 2/3, as a surface-to-volume argument would predict .
Revised: The origin and shape of metabolic scaling has been a controversial debate since Kleiber found that basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/4, instead of 2/3, as a surface-to-volume argument would predict .
Edit intent: fluency
Original: The origin and shape of metabolic scaling has been a controversial debate since Kleiber found that the basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/4, instead of 2/3, as a surface-to-volume argument would predict .
Revised: The origin and shape of metabolic scaling has been a controversial debate since Kleiber found that the basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/4, instead of 2/3, as a surface-to-volume argument predicts .
Edit intent: clarity
Original:  More dramatically, recent works show that data may even comply to more complicated non-scaling functions, and suggest that pure scaling might only be an artifact.
Edit intent: coherence
Original:  Here we present a conceptually simple thermodynamic framework, where Kleiber's law emerges as the trade-off between the energy lost as heat and the energy efficiently used by the organism to maintain its metabolism.
Revised:  Here we present a conceptually simple thermodynamic framework, where Kleiber's law emerges as the trade-off between the energy dissipated as heat and the energy efficiently used by the organism to maintain its metabolism.
Edit intent: clarity
Original:  This balance tunes the ultimate shape of the law and as such, different effective scalings are recovered as particular cases, thereby reconciling previously inconsistent empirical evidence in mammals, birds, insects and even plants under a unified framework.
Revised:  This balance tunes the ultimate shape of the law and as such, different effective scalings can be recovered as particular cases, thereby reconciling previously inconsistent empirical evidence in mammals, birds, insects and even plants under a unified framework.
Edit intent: clarity
Original:  The model is biologically sound, and also explains additional features such as the relation between energy lost as heat and mass or the role and influence of different climatic environments  .
Revised:  This model is biologically sound, and also explains additional features such as the relation between energy lost as heat and mass or the role and influence of different climatic environments .
Edit intent: fluency
Original:  The model is biologically sound, and also explains additional features such as the relation between energy lost as heat and mass or the role and influence of different climatic environments  .
Revised:  The model is biologically sound, and also explains additional features such as the relation between energy lost as heat and mass , the role and influence of different climatic environments .
Edit intent: coherence
Original: Laboratory batch experiments have been employed to develop a mathematical model for the  growth of Escherichia coli (HB101 K12 pGLO) in the presence or absence of dissolved organic carbon and oxygen .
Revised: A model for the growth of Escherichia coli (HB101 K12 pGLO) in the presence or absence of dissolved organic carbon and oxygen .
Edit intent: clarity
Original:  The proposed model based on  modified double Contois kinetics is able to predict the cell densities, organic carbon utilization and oxygen transfer and utilization rates under aerobic, anaerobic conditions and its combination.
Revised:  The proposed model based on a modified double Contois kinetics is able to predict the cell densities, organic carbon utilization and oxygen transfer and utilization rates under aerobic, anaerobic conditions and its combination.
Edit intent: fluency
Original:  The proposed model based on  modified double Contois kinetics is able to predict the cell densities, organic carbon utilization and oxygen transfer and utilization rates under aerobic, anaerobic conditions and its combination.
Revised:  The proposed model based on modified double Contois kinetic can predict cell densities, organic carbon utilization and oxygen transfer and utilization rates under aerobic, anaerobic conditions and its combination.
Edit intent: clarity
Original:  The proposed model based on  modified double Contois kinetics is able to predict the cell densities, organic carbon utilization and oxygen transfer and utilization rates under aerobic, anaerobic conditions and its combination.
Revised:  The proposed model based on modified double Contois kinetics is able to predict the cell densities, organic carbon utilisation, oxygen transfer and utilization rates under aerobic, anaerobic conditions and its combination.
Edit intent: clarity
Original:  An inverse modelling was used to estimate a unique set of growth parameters, which is able to describe all batch experiments sufficiently .
Revised:  An inverse modelling was used to estimate a unique set of parameters .
Edit intent: coherence
Original:  The model was extended to be able to describe growth of E. coli in unsaturated porous media, combining diffusion, phase exchange and microbiological growth.
Revised:  The model was extended to describe growth of E. coli in unsaturated porous media, combining diffusion, phase exchange and microbiological growth.
Edit intent: clarity
Original:  Simulations performed with this algorithm suggest previously unobserved phenomena in the limit shapes for some tiling models .
Revised:  Simulations performed with this algorithm suggest interesting limit shape phenomena for the corresponding tiling models, some of which are new .
Edit intent: clarity
Original: We model the viscoelasticity of the cerebral cortex as a layered material with bending energy along the layers and elastic energy between them in both planar and polar geometries.
Revised: We model the elasticity of the cerebral cortex as a layered material with bending energy along the layers and elastic energy between them in both planar and polar geometries.
Edit intent: clarity
Original:  Furthermore, we present new results on synchronization and stability of twisted states for the KM on Caley and random graphs.
Revised:  Furthermore, we present new results on synchronization and stability of twisted states for the KM on Cayley and random graphs.
Edit intent: fluency
Original:  These problems in the two different domains lead to a similar circulant structure in the so-called coset correlation matrix , which allows for a strong compression and a simple least-squares reconstruction method.
Revised:  These problems in the two different domains lead to a similar circulant structure in the so-called coset correlation matrix . This circulant structure allows for a strong compression and a simple least-squares reconstruction method.
Edit intent: coherence
Original:  We evaluate the coset correlation matrix estimation and analyze the statistical performance of the compressively reconstructed periodogram , which includes a bias and variance analysis.
Revised:  We analyze the statistical performance of the compressively reconstructed periodogram , which includes a bias and variance analysis.
Edit intent: coherence
Original:  We evaluate the coset correlation matrix estimation and analyze the statistical performance of the compressively reconstructed periodogram , which includes a bias and variance analysis.
Revised:  We evaluate the coset correlation matrix estimation and analyze the statistical performance of the compressively reconstructed periodogram including bias and variance analysis.
Edit intent: coherence
Original:  We then consider the case when the size of the bin is decreased such that the received spectra at two frequencies or angles, with a spacing between them larger than the size of the bin, can still be correlated.
Revised:  We then consider the case when the bins are so small that the received spectra at two frequencies or angles, with a spacing between them larger than the size of the bin, can still be correlated.
Edit intent: clarity
Original:  We analyze two typical examples featuring (i) the bend centerline of beating flagella , and (ii) the closed boundary outline of gliding flatworms .
Revised:  We characterize undulatory bending waves of beating flagella , and (ii) the closed boundary outline of gliding flatworms .
Edit intent: clarity
Original:  Here , shape mode analysis is based on the mathematical technique of principal component analysis and allows to project a multi-feature data set on a small set of empirical shape modes, which are directly inferred from the data itself.
Revised:  Here , shape mode analysis based on principal component analysis and allows to project a multi-feature data set on a small set of empirical shape modes, which are directly inferred from the data itself.
Edit intent: clarity
Original:  Recently,  Joret et al. proved that the dimension is bounded for posets with bounded height whose cover graphs have bounded tree-width.
Revised:  Recently, Joret et al. proved that dimension is bounded for posets with bounded height whose cover graphs have bounded tree-width.
Edit intent: fluency
Original:  Recently,  Joret et al. proved that the dimension is bounded for posets with bounded height whose cover graphs have bounded tree-width.
Revised:  Recently, Joret et al. proved that the dimension is bounded for posets with bounded height and with cover graphs of bounded tree-width.
Edit intent: clarity
Original:  In this paper, it is proved that posets of bounded height whose cover graphs exclude a fixed (topological ) minor have bounded dimension.
Revised:  In this paper, it is proved that posets of bounded height whose cover graphs exclude a fixed topological minor have bounded dimension.
Edit intent: fluency
Original:  This generalizes both the aforementioned results and verifies a conjecture of Joret et al.
Revised:  This generalizes all the aforementioned results and verifies a conjecture of Joret et al.
Edit intent: clarity
Original:  In addition, the distribution of the out-degree (i.e., number of workers that the focal worker attacks), not indegree (i.e., number of workers that attack the focal worker), of each observed network is rightskewed .
Revised:  In addition, the distribution of the out-degree (i.e., number of workers that the focal worker attacks), not in-degree (i.e., number of workers that attack the focal worker), of each observed network is rightskewed .
Edit intent: fluency
Original:  In addition, the distribution of the out-degree (i.e., number of workers that the focal worker attacks), not indegree (i.e., number of workers that attack the focal worker), of each observed network is rightskewed .
Revised:  In addition, the distribution of the out-degree (i.e., number of workers that the focal worker attacks), not indegree (i.e., number of workers that attack the focal worker), of each observed network is right-skewed .
Edit intent: clarity
Original:  It is assumed that stock price stochastic dynamics follows a Geometric Shot Noise motion.
Revised:  It is assumed that asset price stochastic dynamics follows a Geometric Shot Noise motion.
Edit intent: clarity
Original:  Three  new Greeks associated with model market parameters have been introduced and evaluated.
Revised:  Three additional new Greeks associated with model market parameters have been introduced and evaluated.
Edit intent: clarity
Original:  Three  new Greeks associated with model market parameters have been introduced and evaluated.
Revised:  Three new Greeks associated with market model parameters have been introduced and evaluated.
Edit intent: fluency
Original:  It has been found that the model provides affine term structure.
Edit intent: coherence
Original:  Despite the lack of normality of probability distributions involved,  newly elaborated models have the same degree of analytical tractability as the Black--Scholes model and the Vasicek model .
Revised:  Despite the lack of normality of probability distributions involved, all newly elaborated models have the same degree of analytical tractability as the Black--Scholes model and the Vasicek model .
Edit intent: clarity
Original:  Despite the lack of normality of probability distributions involved,  newly elaborated models have the same degree of analytical tractability as the Black--Scholes model and the Vasicek model .
Revised:  Despite the lack of normality of probability distributions involved, newly elaborated models have the same degree of analytical tractability as the Black-Scholes model and the Vasicek model .
Edit intent: fluency
Original:  Using results from the theory of orders statistics and a theorem on the limit of sequences of random variables with independent random indices, we derive the weak limits of all these distributions.
Revised:  Using results from the theory of order statistics and a theorem on the limit of sequences of random variables with independent random indices, we derive the weak limits of all these distributions.
Edit intent: fluency
Original:  By definition, a directed multiplex network contains vertices of one kind and directed edges of m different kinds .
Revised:  By definition, a directed multiplex network contains vertices of one type and directed edges of m different kinds .
Edit intent: clarity
Original:  By definition, a directed multiplex network contains vertices of one kind and directed edges of m different kinds .
Revised:  By definition, a directed multiplex network contains vertices of one kind and directed edges of m different types .
Edit intent: clarity
Original:  In directed multiplex networks, we distinguish a set of different giant components based on inter-connectivity of their vertices, which is understood as various directed paths running entirely through edges of distinct types . If, in particular, m=2, we define a strongly viable component as a set of vertices, in which each two vertices are interconnected by two pairs of directed paths , running through edges of each of two kinds in both directions .
Revised:  In directed multiplex networks, we distinguish a set of different giant components based on the existence of directed paths of different types between their vertices, which is understood as various directed paths running entirely through edges of distinct types . If, in particular, m=2, we define a strongly viable component as a set of vertices, in which each two vertices are interconnected by two pairs of directed paths , running through edges of each of two kinds in both directions .
Edit intent: clarity
Original:  In directed multiplex networks, we distinguish a set of different giant components based on inter-connectivity of their vertices, which is understood as various directed paths running entirely through edges of distinct types . If, in particular, m=2, we define a strongly viable component as a set of vertices, in which each two vertices are interconnected by two pairs of directed paths , running through edges of each of two kinds in both directions .
Revised:  In directed multiplex networks, we distinguish a set of different giant components based on inter-connectivity of their vertices, such that for each type of edges, the paths run entirely through only edges of that type . If, in particular, m=2, we define a strongly viable component as a set of vertices, in which each two vertices are interconnected by two pairs of directed paths , running through edges of each of two kinds in both directions .
Edit intent: clarity
Original:  In directed multiplex networks, we distinguish a set of different giant components based on inter-connectivity of their vertices, which is understood as various directed paths running entirely through edges of distinct types . If, in particular, m=2, we define a strongly viable component as a set of vertices, in which each two vertices are interconnected by two pairs of directed paths , running through edges of each of two kinds in both directions .
Revised:  In directed multiplex networks, we distinguish a set of different giant components based on inter-connectivity of their vertices, which is understood as various directed paths running entirely through edges of distinct types . If, in particular, m=2, we define a strongly viable component as a set of vertices, in which for each type of edges, each two vertices are interconnected by two pairs of directed paths , running through edges of each of two kinds in both directions .
Edit intent: clarity
Original:  In directed multiplex networks, we distinguish a set of different giant components based on inter-connectivity of their vertices, which is understood as various directed paths running entirely through edges of distinct types . If, in particular, m=2, we define a strongly viable component as a set of vertices, in which each two vertices are interconnected by two pairs of directed paths , running through edges of each of two kinds in both directions .
Revised:  In directed multiplex networks, we distinguish a set of different giant components based on inter-connectivity of their vertices, which is understood as various directed paths running entirely through edges of distinct types . If, in particular, m=2, we define a strongly viable component as a set of vertices, in which each two vertices are interconnected by at least two directed paths in both directions , running through edges of each of two kinds in both directions .
Edit intent: clarity
Original:  In directed multiplex networks, we distinguish a set of different giant components based on inter-connectivity of their vertices, which is understood as various directed paths running entirely through edges of distinct types . If, in particular, m=2, we define a strongly viable component as a set of vertices, in which each two vertices are interconnected by two pairs of directed paths , running through edges of each of two kinds in both directions .
Revised:  In directed multiplex networks, we distinguish a set of different giant components based on inter-connectivity of their vertices, which is understood as various directed paths running entirely through edges of distinct types . If, in particular, m=2, we define a strongly viable component as a set of vertices, in which each two vertices are interconnected by two pairs of directed paths , running through the edges of only this type .
Edit intent: clarity
Original:  Likewise, mutation rate and fitness become more correlated, even if they are completely uncorrelated for an isolated individual \emph{ , underlining the fact that the interaction induced by limitation of resources is by itself efficient for generating collective effects .
Revised:  Likewise, mutation rate and fitness become more correlated, \emph{ , underlining the fact that the interaction induced by limitation of resources is by itself efficient for generating collective effects .
Edit intent: clarity