wanyu/IteraTeR_full_sent huggingface dataset:
Original:  In this work, we provide a comprehensive study on 54 real-world daily cash flow data sets, which we also make publicly available. Apart from the previous assumptions, we also consider linearity, meaning that cash flow is proportional to a particular explanatory variable, and we propose a new cross-validated test for time series non-linearity .
Revised:  In this work, we provide a comprehensive study on 54 real-world daily cash flow data set from small and medium companies, which is the most common type of companies in Europe. We also propose a new cross-validated test for time series non-linearity .
Edit intent: meaning-changed
Original:  Apart from the previous assumptions, we also consider linearity, meaning that cash flow is proportional to a particular explanatory variable, and we propose a new cross-validated test for time series non-linearity .
Revised:  Apart from the previous assumptions, we also consider linearity, meaning that cash flow is proportional to a particular explanatory variable, and we propose a new cross-validated test for time-series non-linearity .
Edit intent: fluency
Original:  Apart from the previous assumptions, we also consider linearity, meaning that cash flow is proportional to a particular explanatory variable, and we propose a new cross-validated test for time series non-linearity . We further analyze the implications of all aforementioned assumptions for forecasting, showing that: (i) the usual assumption of normality, independence and stationarity hardly appear;
Revised:  Apart from the previous assumptions, we also consider linearity, meaning that cash flow is proportional to a particular explanatory variable, and we propose a new cross-validated test for time series non-linearity showing that: (i) the usual assumption of normality, independence and stationarity hardly appear;
Edit intent: coherence
Original: It is well known that population sizes increase exponentially during balanced growth . Concomitantly, at the single-cell level, the sizes of individual cells themselves increase exponentially; the single-cell exponential growth-rate also determines the statistics of cell size and cell division time distributions. Seeking an integrated perspective of microbial growth dynamics under balanced conditions, we formulate a theoretical framework that takes into account observables at both single-cell and population scales.
Revised: It is well known that population sizes increase exponentially during balanced growth . Concomitantly, at the single-cell level, the sizes of individual cells reflected in smooth deterministic growth of population numbers? We provide an integrated, multiscale perspective of microbial growth dynamics under balanced conditions, we formulate a theoretical framework that takes into account observables at both single-cell and population scales.
Edit intent: clarity
Original:  Our exact analytical solutions for both symmetric and asymmetric cell division reveal surprising effects of the stochastic single-cell dynamics on features of population growth.
Revised:  We derive exact analytical complete time-dependent solutions to cell-age distributions and population growth rates as functionals of the underlying interdivision time distributions, for symmetric and asymmetric cell division reveal surprising effects of the stochastic single-cell dynamics on features of population growth.
Edit intent: meaning-changed
Original:  In particular, we find how the population growth rate is sensitive to the shape of the distribution of cell division times. We validate the model by quantitatively predicting the observed cell-age distributions without fitting parameters. Our model also provides a prescription for deducing the time for transitioning from the swarmer (reproductively quiescent ) to stalked (reproduction able) stage of the {\em C. crescentus} lifecycle ;
Revised:  Using our results for asymmetric division, we deduce the time to transition from the reproductively quiescent (swarmer) to replication-competent (stalked ) to stalked (reproduction able) stage of the {\em C. crescentus} lifecycle ;
Edit intent: clarity
Original:  Our model also provides a prescription for deducing the time for transitioning from the swarmer (reproductively quiescent ) to stalked (reproduction able) stage of the {\em C. crescentus} lifecycle ;
Revised:  Our model also provides a prescription for deducing the time for transitioning from the swarmer (reproductively quiescent ) stage of the {\em C. crescentus} lifecycle ;
Edit intent: clarity
Original:  Our model also provides a prescription for deducing the time for transitioning from the swarmer (reproductively quiescent ) to stalked (reproduction able) stage of the {\em C. crescentus} lifecycle ;
Revised:  Our model also provides a prescription for deducing the time for transitioning from the swarmer (reproductively quiescent ) to stalked (reproduction able) stage of the {\em Caulobacter crescentus} lifecycle ;
Edit intent: clarity
Original:  Our model also provides a prescription for deducing the time for transitioning from the swarmer (reproductively quiescent ) to stalked (reproduction able) stage of the {\em C. crescentus} lifecycle ; our predictions match with previous indirect estimates. We discuss the scalings of all timescales with external parameters that control the balanced growth state .
Revised:  Our model also provides a prescription for deducing the time for transitioning from the swarmer (reproductively quiescent ) to stalked (reproduction able) stage of the {\em C. crescentus} lifecycle . Remarkably, population numbers can spontaneously oscillate with time. We elucidate the physics leading to these population oscillations .
Edit intent: meaning-changed
Original:  For {\em C. crescentus} cells, we show that the rate of exponential growth of single (stalked) cells governs the dynamics of the entire lifecycle, including the swarmer-to-stalked cell transition .
Revised:  For {\em C. crescentus} cells, we show that a simple measurement of the population growth rate, for a given growth condition, is sufficient to characterize the condition-specific cellular unit of time, and thus yields the mean (single-cell) growth and division timescales, fluctuations in cell division times, the cell age distribution, and the quiescence timescale .
Edit intent: meaning-changed
Original: A continuum model for epithelial tissue mechanics is formulated from cell level mechanical ingredients and morphogenetic cell dynamics, including cell  shape changes and cell rearrangements. The model is capable of dealing with finite deformation, and uses stress and deformation tensors that can be compared with experimental data.
Revised: A continuum model for epithelial tissue mechanics is formulated from cell level mechanical ingredients and morphogenetic cell dynamics, including cell shape changes and cellular rearrangements. This model can include finite deformation, and uses stress and deformation tensors that can be compared with experimental data.
Edit intent: clarity
Original:  Using the model, we uncover the dynamical behaviour that underlies passive relaxationand active contraction-elongation of a tissue . The present work provides an integrated scheme for understanding the mechanisms by which morphogenetic processes of each individual cell collectively lead to the development of a large tissue with its correct shape and size .
Revised:  Using the model, we uncover the dynamical behaviour that underlies passive relaxationand active contraction-elongation , and tissue shear flow. This study provides an integrated scheme for understanding the mechanisms by which morphogenetic processes of each individual cell collectively lead to the development of a large tissue with its correct shape and size .
Edit intent: meaning-changed
Original:  The latent complex of TGF-beta is an example of the one-off action: on the release of active TGF-beta signal, the complex is discarded and needs to be replaced.
Revised:  The latent complex of TGF-\beta is an example of the one-off action: on the release of active TGF-beta signal, the complex is discarded and needs to be replaced.
Edit intent: fluency
Original:  The latent complex of TGF-beta is an example of the one-off action: on the release of active TGF-beta signal, the complex is discarded and needs to be replaced.
Revised:  The latent complex of TGF-beta is an example of the one-off action: on the release of active TGF-\beta signal, the complex is discarded and needs to be replaced.
Edit intent: fluency
Original:  In contrast, the focal adhesion kinase (FAK) in a complex with integrin is a reversible mechanosensor, which initiates the chemical signal in its active phosphorylated conformation, but can spontaneously return to its closed folded conformation.
Revised:  In contrast, focal adhesion kinase (FAK) in a complex with integrin is a reversible mechanosensor, which initiates the chemical signal in its active phosphorylated conformation, but can spontaneously return to its closed folded conformation.
Edit intent: fluency
Original:  Here we study the physical mechanism of the reversible mechanosensor of the 2nd kind, using FAK as a practical example , and find how the rates of conformation changes depend on the substrate stiffness and the pulling force applied from the cell cytoskeleton.
Revised:  Here we study the physical mechanism of the reversible mechanosensor of the 2nd kind, using FAK as a practical example . We find how the rates of conformation changes depend on the substrate stiffness and the pulling force applied from the cell cytoskeleton.
Edit intent: coherence
Original: In the dual L ^{\Phi^* of a \Delta_2-Orlicz space L ^\Phi, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology \tau(L ^{\Phi^*,L^\Phi} ,L_\Phi} ) if and only if on each order interval [-\zeta,\zeta]=\{\xi: -\zeta\leq \xi\leq\zeta\} (\zeta\in L ^{\Phi^* ), it is lower semicontinuous (resp. continuous) for the topology of convergence in probability.
Revised: In the dual L _{\Phi^* of a \Delta_2-Orlicz space L ^\Phi, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology \tau(L ^{\Phi^*,L^\Phi} ,L_\Phi} ) if and only if on each order interval [-\zeta,\zeta]=\{\xi: -\zeta\leq \xi\leq\zeta\} (\zeta\in L ^{\Phi^* ), it is lower semicontinuous (resp. continuous) for the topology of convergence in probability.
Edit intent: fluency
Original: In the dual L ^{\Phi^* of a \Delta_2-Orlicz space L ^\Phi, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology \tau(L ^{\Phi^*,L^\Phi} ,L_\Phi} ) if and only if on each order interval [-\zeta,\zeta]=\{\xi: -\zeta\leq \xi\leq\zeta\} (\zeta\in L ^{\Phi^* ), it is lower semicontinuous (resp. continuous) for the topology of convergence in probability.
Revised: In the dual L ^{\Phi^* of a \Delta_2-Orlicz space L _\Phi, that we call a dual Orlicz space, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology \tau(L ^{\Phi^*,L^\Phi} ,L_\Phi} ) if and only if on each order interval [-\zeta,\zeta]=\{\xi: -\zeta\leq \xi\leq\zeta\} (\zeta\in L ^{\Phi^* ), it is lower semicontinuous (resp. continuous) for the topology of convergence in probability.
Edit intent: meaning-changed
Original: In the dual L ^{\Phi^* of a \Delta_2-Orlicz space L ^\Phi, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology \tau(L ^{\Phi^*,L^\Phi} ,L_\Phi} ) if and only if on each order interval [-\zeta,\zeta]=\{\xi: -\zeta\leq \xi\leq\zeta\} (\zeta\in L ^{\Phi^* ), it is lower semicontinuous (resp. continuous) for the topology of convergence in probability.
Revised: In the dual L ^{\Phi^* of a \Delta_2-Orlicz space L ^\Phi, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology \tau(L ,L^\Phi} ,L_\Phi} ) if and only if on each order interval [-\zeta,\zeta]=\{\xi: -\zeta\leq \xi\leq\zeta\} (\zeta\in L ^{\Phi^* ), it is lower semicontinuous (resp. continuous) for the topology of convergence in probability.
Edit intent: coherence
Original: In the dual L ^{\Phi^* of a \Delta_2-Orlicz space L ^\Phi, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology \tau(L ^{\Phi^*,L^\Phi} ,L_\Phi} ) if and only if on each order interval [-\zeta,\zeta]=\{\xi: -\zeta\leq \xi\leq\zeta\} (\zeta\in L ^{\Phi^* ), it is lower semicontinuous (resp. continuous) for the topology of convergence in probability.
Revised: In the dual L ^{\Phi^* of a \Delta_2-Orlicz space L ^\Phi, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology \tau(L ^{\Phi^*,L^\Phi} _{\Phi^*,L_\Phi} ) if and only if on each order interval [-\zeta,\zeta]=\{\xi: -\zeta\leq \xi\leq\zeta\} (\zeta\in L ^{\Phi^* ), it is lower semicontinuous (resp. continuous) for the topology of convergence in probability.
Edit intent: fluency
Original: In the dual L ^{\Phi^* of a \Delta_2-Orlicz space L ^\Phi, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology \tau(L ^{\Phi^*,L^\Phi} ,L_\Phi} ) if and only if on each order interval [-\zeta,\zeta]=\{\xi: -\zeta\leq \xi\leq\zeta\} (\zeta\in L ^{\Phi^* ), it is lower semicontinuous (resp. continuous) for the topology of convergence in probability.
Revised: In the dual L ^{\Phi^* of a \Delta_2-Orlicz space L ^\Phi, we show that a proper (resp. finite) convex function is lower semicontinuous (resp. continuous) for the Mackey topology \tau(L ^{\Phi^*,L^\Phi} ,L_\Phi} ) if and only if on each order interval [-\zeta,\zeta]=\{\xi: -\zeta\leq \xi\leq\zeta\} (\zeta\in L _{\Phi^* ), it is lower semicontinuous (resp. continuous) for the topology of convergence in probability.
Edit intent: fluency
Original:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%%  and }\bar _n converges a.s.
Revised:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L _{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%% and }\bar _n converges a.s.
Edit intent: fluency
Original:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%%  and }\bar _n converges a.s.
Revised:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar\xi _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%% and }\bar _n converges a.s.
Edit intent: meaning-changed
Original:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%%  and }\bar _n converges a.s.
Revised:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar\xi _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%% and }\bar _n converges a.s.
Edit intent: meaning-changed
Original:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%%  and }\bar _n converges a.s.
Revised:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L and }%DIFDELCMD < \bar{\xi}%%% and }\bar _n converges a.s.
Edit intent: fluency
Original:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%%  and }\bar _n converges a.s.
Revised:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%% _{\Phi^* and }\bar _n converges a.s.
Edit intent: clarity
Original:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%%  and }\bar _n converges a.s.
Revised:  For this purpose, we provide the following Koml\'os type result: every norm bounded sequence (\xi_n)_n in L ^{\Phi^* admits a sequence of forward convex combinations %DIFDELCMD < \xi%%% \bar _n\inconv(\xi_n,n+1,...) such that \sup_n| %DIFDELCMD < \xi%%% \bar _n|\in L ^{\Phi^* and }%DIFDELCMD < \bar{\xi}%%% and }\bar\xi _n converges a.s.
Edit intent: clarity
Original:  The optimization subject to the quadratic cost reflects the desire of each bank to borrow from or lend to a central bank through manipulating its lending preference and the intention of each bank to deposit in the central bank in order to control the volatility for cost minimization. We observe that the adding liquidity creates a flocking effect leading to stability or systemic risk depending on the level of the growth rate.
Revised:  The Markov Nash equilibrium generated through minimizing the linear quadratic cost subject to Cox-Ingersoll-Ross type processes creates liquidity and deposit rate. The adding liquidity leads to a flocking effect leading to stability or systemic risk depending on the level of the growth rate.
Edit intent: meaning-changed
Original: In this paper we study the possible "chaotic" nature of some energy and commodity futures time series (like heating oil and natural gas, among the others). In particular the sensitive dependence on initial conditions (the so called "butterfly effect", which represents one of the characterizing properties of a chaotic system) is investigated estimating the Kolmogorov entropy, in addition to the maximum Lyapunov exponent. The results obtained with these two methods are consistent and should indicate the presence of butterfly effect. Nevertheless, this phenomenon - which is usually showed by deterministic systems - is not here completely deterministic. In fact, using a test introduced by Kaplan and Glass, we prove that , for all the series analyzed here, the stochastic component and the deterministic one turn up to be approximately in the same proportions. The presence of butterfly effect in energy futures markets is a controversial matter, and the evaluations obtained here confirm the findings of some authors cited in this paper .
Revised: We test whether the futures prices of some commodity and energy markets are determined by stochastic rules or exhibit nonlinear deterministic endogenous fluctuations. As for the methodologies, we use the maximal Lyapunov exponents (MLE) and a determinism test, both based on the reconstruction of the phase space. In particular, employing a recent methodology, we estimate a coefficient \kappa that describes the determinism rate of the analyzed time series. We find that the underlying system for futures prices shows a reliability level \kappa near to 1 while the MLE is positive for all commodity futures series .
Edit intent: clarity
Original:  Our approach is based on a coupling between Bayesian learning and dynamic programming techniques . It permits to recover the well-known results of Karatzas and Zhao in the case of conjugate (Gaussian) priors for the drift distribution  , but also to go beyond the no-friction case, when martingale methods are no longer available.
Revised:  Our approach is based on a coupling between Bayesian learning and dynamic programming techniques that leads to partial differential equations. It enables to recover the well-known results of Karatzas and Zhao in the case of conjugate (Gaussian) priors for the drift distribution , but also to go beyond the no-friction case, when martingale methods are no longer available.
Edit intent: meaning-changed
Original:  It permits to recover the well-known results of Karatzas and Zhao in the case of conjugate (Gaussian) priors for the drift distribution  , but also to go beyond the no-friction case, when martingale methods are no longer available.
Revised:  It permits to recover the well-known results of Karatzas and Zhao in a framework , but also to go beyond the no-friction case, when martingale methods are no longer available.
Edit intent: meaning-changed
Original:  It permits to recover the well-known results of Karatzas and Zhao in the case of conjugate (Gaussian) priors for the drift distribution  , but also to go beyond the no-friction case, when martingale methods are no longer available.
Revised:  It permits to recover the well-known results of Karatzas and Zhao in the case of conjugate (Gaussian) priors for the drift distribution\`a la , but also to go beyond the no-friction case, when martingale methods are no longer available.
Edit intent: meaning-changed
Original:  It permits to recover the well-known results of Karatzas and Zhao in the case of conjugate (Gaussian) priors for the drift distribution  , but also to go beyond the no-friction case, when martingale methods are no longer available.
Revised:  It permits to recover the well-known results of Karatzas and Zhao in the case of conjugate (Gaussian) priors for the drift distribution Merton , but also to go beyond the no-friction case, when martingale methods are no longer available.
Edit intent: meaning-changed
Original:  It permits to recover the well-known results of Karatzas and Zhao in the case of conjugate (Gaussian) priors for the drift distribution  , but also to go beyond the no-friction case, when martingale methods are no longer available.
Revised:  It permits to recover the well-known results of Karatzas and Zhao in the case of conjugate (Gaussian) priors for the drift distribution , but also to deal with cases where martingale methods are no longer available.
Edit intent: clarity
Original:  In particular, we address optimal portfolio choice  in a framework \`a la Almgren-Chriss  and we build therefore a model in which the agent takes into account in his /her allocation decision process both the liquidity of assets and the uncertainty with respect to their expected returns.
Revised:  In particular, we address optimal portfolio choice , portfolio liquidation, and portfolio transition problems in a framework \`a la Almgren-Chriss and we build therefore a model in which the agent takes into account in his /her allocation decision process both the liquidity of assets and the uncertainty with respect to their expected returns.
Edit intent: meaning-changed