wanyu/IteraTeR_full_sent huggingface dataset:
Original:  Since underlying data sets are affected by non-stationarities  , we also applied MF-DFA and MF-DXA in order to examine the multifractality nature of data and to analyze the relationship and mutual interaction between pairs of series, respectively. The overall results are quite interesting, since we found only 170 pair of stock markets cointegrated, and according to the Granger causality and mutual information we realized that the strongest relations lies between emerging markets, and between emerging and frontier markets.
Revised:  Since underlying data sets are affected by non-stationarities , we also apply AMF-DFA and AMF-DXA. We find only 170 pair of stock markets cointegrated, and according to the Granger causality and mutual information we realized that the strongest relations lies between emerging markets, and between emerging and frontier markets.
Edit intent: coherence
Original:  The overall results are quite interesting, since we found only 170 pair of stock markets cointegrated, and according to the Granger causality and mutual information we realized that the strongest relations lies between emerging markets, and between emerging and frontier markets.
Revised:  The overall results are quite interesting, since we found only 170 pair of Stock markets cointegrated, and according to the Granger causality and mutual information we realized that the strongest relations lies between emerging markets, and between emerging and frontier markets.
Edit intent: fluency
Original:  The overall results are quite interesting, since we found only 170 pair of stock markets cointegrated, and according to the Granger causality and mutual information we realized that the strongest relations lies between emerging markets, and between emerging and frontier markets.
Revised:  The overall results are quite interesting, since we found only 170 pair of stock markets cointegrated, and according to the Granger causality and mutual information , we realize that the strongest relations lies between emerging markets, and between emerging and frontier markets.
Edit intent: fluency
Original:  There is no cross-over in the fluctuation functions determined by MF-DFA method confirmed that mentioned approach could remove trends embedded in the data sets\pm0\pm  .
Revised:  According to EMH, only 8 markets are classified in uncorrelated processes at 2\sigma confidence interval. 6 Stock markets belong to anti-correlated class and dominant part of markets has memory in corresponding daily index prices during January 1995 to February 2014. New-Zealand with H=0.457\pm0\pm .
Edit intent: meaning-changed
Original:  There is no cross-over in the fluctuation functions determined by MF-DFA method confirmed that mentioned approach could remove trends embedded in the data sets\pm0\pm  .
Revised:  There is no cross-over in the fluctuation functions determined by MF-DFA method confirmed that mentioned approach could remove trends embedded in the data sets\pm0.004 and Jordan with H=0.602\pm .
Edit intent: meaning-changed
Original:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation .
Revised:  The empirical relation, H_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation .
Edit intent: fluency
Original:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation .
Revised:  The empirical relation, h_{xy}\le [ H_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation .
Edit intent: fluency
Original:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation .
Revised:  The empirical relation, h_{xy}\le [ h_{xx + H_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation .
Edit intent: fluency
Original:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation .
Revised:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 , is confirmed. Mentioned relation for q>0 , while for q<0 there was a deviation from this relation .
Edit intent: meaning-changed
Original:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation .
Revised:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 is also satisfied while for q<0 there was a deviation from this relation .
Edit intent: meaning-changed
Original:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation .
Revised:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there is a deviation from this relation .
Edit intent: fluency
Original:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation .
Revised:  The empirical relation, h_{xy}\le [ h_{xx + h_{yy ]/2 was confirmedjust for q>0 , while for q<0 there was a deviation from this relation confirming behavior of markets for small fluctuations is affected by contribution of major pair. For larger fluctuations, the cross-correlation contains information from both local and global conditions.
Edit intent: meaning-changed
Original:  Width of singularity spectrum is in the range \Delta \alpha_{xx}\in [0.304,0.905] which is another confirmation about multifractality nature of underlying data sets.
Revised:  Width of singularity spectrum for auto-correlation and cross-correlation are \Delta \alpha_{xx}\in [0.304,0.905] which is another confirmation about multifractality nature of underlying data sets.
Edit intent: meaning-changed
Original:  Width of singularity spectrum is in the range \Delta \alpha_{xx}\in [0.304,0.905] which is another confirmation about multifractality nature of underlying data sets. The singularity spectrum for cross-correlation is in the range \Delta \alpha_{xy}\in [0.246,1.178] confirming more complex relation between stock markets .
Revised:  Width of singularity spectrum is in the range \Delta \alpha_{xx}\in [0.304,0.905] and \Delta \alpha_{xy}\in [0.246,1.178] confirming more complex relation between stock markets .
Edit intent: meaning-changed
Original:  The singularity spectrum for cross-correlation is in the range \Delta \alpha_{xy}\in [0.246,1.178] confirming more complex relation between stock markets .
Revised:  The singularity spectrum for cross-correlation is in the range \Delta \alpha_{xy}\in [0.246,1.178] , respectively. The wide range of singularity spectrum for cross-correlation confirms that the bilateral relation between Stock markets is more complex .
Edit intent: meaning-changed
Original: For a class of polynomial kinetic systems, this work examines connections between system parameters, and uniqueness and stability of the resulting equilibria. Such systems are typically employed to describe nonlinear dynamics in chemical reaction networks, but over the last years they proved useful in modeling a wide range of nonlinear dynamic systems with applications in biology, process systems, economics or transportation problems.
Revised: For a class of polynomial kinetic systems, this work examines connections between system parameters, and uniqueness and stability of equilibria, for kinetic systems given in the form of polynomial ODEs. Such models are commonly used to describe the dynamics of nonnegative systems, with a wide range of nonlinear dynamic systems with applications in biology, process systems, economics or transportation problems.
Edit intent: meaning-changed
Original:  Such systems are typically employed to describe nonlinear dynamics in chemical reaction networks, but over the last years they proved useful in modeling a wide range of nonlinear dynamic systems with applications in biology, process systems, economics or transportation problems.
Revised:  Such systems are typically employed to describe nonlinear dynamics in chemical reaction networks, but over the last years they proved useful in modeling a wide range of application fields such as chemistry, systems biology, process systems, economics or transportation problems.
Edit intent: clarity
Original:  Such systems are typically employed to describe nonlinear dynamics in chemical reaction networks, but over the last years they proved useful in modeling a wide range of nonlinear dynamic systems with applications in biology, process systems, economics or transportation problems. In particular , a canonical representation of the set of all possible feasible equilibrium solutions is developed.
Revised:  Such systems are typically employed to describe nonlinear dynamics in chemical reaction networks, but over the last years they proved useful in modeling a wide range of nonlinear dynamic systems with applications in biology, process modeling or even transportation systems. Using a flux-based description of kinetic models , a canonical representation of the set of all possible feasible equilibrium solutions is developed.
Edit intent: meaning-changed
Original:  One particularly interesting representation of these constraints can be established in terms of a class of monotonous functions which turn out to be critical to conclude uniqueness of equilibrium points in a class of deficiency one networks.
Revised:  One particularly interesting representation of these constraints can be established in terms of a class of monotonous decreasing functions. This allows connections to be established with classical results in CRNT that relate to the existence and uniqueness of equilibria along positive stoichiometric compatibility classes. In particular, monotonicity can be employed to identify regions in the set of possible reaction rate coefficients leading to complex balancing, and to conclude uniqueness of equilibria for a class of deficiency one networks.
Edit intent: meaning-changed
Original:  One particularly interesting representation of these constraints can be established in terms of a class of monotonous functions which turn out to be critical to conclude uniqueness of equilibrium points in a class of deficiency one networks. One main consequence of such representation is the possibility of a simple constructive proof of the  deficiency one theorem.
Revised:  One particularly interesting representation of these constraints can be established in terms of a class of monotonous functions which turn out to be critical to conclude uniqueness of equilibrium points in a class of positive deficiency networks. The latter result might support constructing an alternative proof of the deficiency one theorem.
Edit intent: meaning-changed
Original:  Certain recent studies have shown that the collective maximum force (stall force) generated by multiple cytoskeletal filaments or molecular motors may not always be just a simple sum of stall force for individual filaments or motors.
Revised:  Some recent studies have shown that the collective maximum force (stall force) generated by multiple cytoskeletal filaments or molecular motors may not always be just a simple sum of stall force for individual filaments or motors.
Edit intent: fluency
Original:  Certain recent studies have shown that the collective maximum force (stall force) generated by multiple cytoskeletal filaments or molecular motors may not always be just a simple sum of stall force for individual filaments or motors.
Revised:  Certain recent studies have shown that the collective maximum force (stall force) generated by multiple cytoskeletal filaments or molecular motors may not always be just a simple sum of the stall forces of the individual filaments or motors.
Edit intent: clarity
Original:  We argue that the stall force generated by a group of filaments or motors is additive, i.e. , the stall force of N  filaments (motors) is N times the stall force of one filament (motor), when the system is in equilibrium at stall.
Revised:  We argue that the stall force generated by a group of filaments or motors is additive, that is , the stall force of N filaments (motors) is N times the stall force of one filament (motor), when the system is in equilibrium at stall.
Edit intent: clarity
Original:  We argue that the stall force generated by a group of filaments or motors is additive, i.e. , the stall force of N  filaments (motors) is N times the stall force of one filament (motor), when the system is in equilibrium at stall.
Revised:  We argue that the stall force generated by a group of filaments or motors is additive, i.e. , the stall force of N number of filaments (motors) is N times the stall force of one filament (motor), when the system is in equilibrium at stall.
Edit intent: clarity
Original:  Efficient coverage optimization requires accurate coverage estimation which relies on geo-located field measurements . These measurements are gathered today during highly expensive drive tests  and will be reported in the near future by users equipments thanks to the 3GPP MDT feature ( still costly in terms of battery consumption and signaling overhead ).
Revised:  Efficient coverage optimization requires accurate coverage estimation which relies on geo-located field measurements which are gathered today during highly expensive drive tests and will be reported in the near future by users equipments thanks to the 3GPP MDT feature ( still costly in terms of battery consumption and signaling overhead ).
Edit intent: clarity
Original:  These measurements are gathered today during highly expensive drive tests  and will be reported in the near future by users equipments thanks to the 3GPP MDT feature ( still costly in terms of battery consumption and signaling overhead ).
Revised:  These measurements are gathered today during highly expensive drive tests (DT); and will be reported in the near future by users equipments thanks to the 3GPP MDT feature ( still costly in terms of battery consumption and signaling overhead ).
Edit intent: meaning-changed
Original:  These measurements are gathered today during highly expensive drive tests  and will be reported in the near future by users equipments thanks to the 3GPP MDT feature ( still costly in terms of battery consumption and signaling overhead ).
Revised:  These measurements are gathered today during highly expensive drive tests and will be reported in the near future by users ' mobile devices thanks to the 3GPP MDT feature ( still costly in terms of battery consumption and signaling overhead ).
Edit intent: meaning-changed
Original:  These measurements are gathered today during highly expensive drive tests  and will be reported in the near future by users equipments thanks to the 3GPP MDT feature ( still costly in terms of battery consumption and signaling overhead ).
Revised:  These measurements are gathered today during highly expensive drive tests and will be reported in the near future by users equipments thanks to the 3GPP Minimizing Drive Tests (MDT) feature~\mbox{%DIFAUXCMD 3GPPproposal still costly in terms of battery consumption and signaling overhead ).
Edit intent: meaning-changed
Original:  These measurements are gathered today during highly expensive drive tests  and will be reported in the near future by users equipments thanks to the 3GPP MDT feature ( still costly in terms of battery consumption and signaling overhead ). In both cases , predicting the coverage on a location where no measurements are available remains a key and challenging task.
Revised:  These measurements are gathered today during highly expensive drive tests and will be reported in the near future by users equipments thanks to the 3GPP MDT feature ( still costly in terms of battery consumption and signaling overhead . Therefore , predicting the coverage on a location where no measurements are available remains a key and challenging task.
Edit intent: coherence
Original:  In the present paper we  employ the theoretical tools developed in network theory , in order to shed light on the response of world wide trade to the financial crisis of 2007.
Revised: Since 2007, several contributions have tried to identify early-warning signals of the financial crisis. However, the vast majority of analyses has focused, so far, on financial systems and little theoretical work has been done on the economic counterpart. In the present paper we employ the theoretical tools developed in network theory , in order to shed light on the response of world wide trade to the financial crisis of 2007.
Edit intent: meaning-changed
Original:  In the present paper we  employ the theoretical tools developed in network theory , in order to shed light on the response of world wide trade to the financial crisis of 2007. In particular, we have explored the evolution of the bipartite country-product World Trade Web  across the years 1995-2010, monitoring the behaviour of the system both before and after 2007.
Revised:  In the present paper we employ the theoretical tools developed in network theory , in order to shed light on the response of world wide trade to the financial crisis of 2007 and the economic recession of 2008-2009. We have explored the evolution of the bipartite country-product World Trade Web across the years 1995-2010, monitoring the behaviour of the system both before and after 2007.
Edit intent: meaning-changed
Original:  In particular, we have explored the evolution of the bipartite country-product World Trade Web  across the years 1995-2010, monitoring the behaviour of the system both before and after 2007.
Revised:  In particular, we have explored the evolution of the bipartite country-product World Trade Web (WTW) across the years 1995-2010, monitoring the behaviour of the system both before and after 2007.
Edit intent: meaning-changed
Original:  Remarkably, our results indicate that, from 2003 on, the abundances of a recently-defined class of bipartite motifs assume values progressively closer to the ones predicted by a null model which preserves only basic features of the observed structure, completely randomizing the rest.
Revised:  Remarkably, our results point out the presence of early structural changes in the WTW topology: from 2003 on, the abundances of a recently-defined class of bipartite motifs assume values progressively closer to the ones predicted by a null model which preserves only basic features of the observed structure, completely randomizing the rest.
Edit intent: meaning-changed
Original:  Remarkably, our results indicate that, from 2003 on, the abundances of a recently-defined class of bipartite motifs assume values progressively closer to the ones predicted by a null model which preserves only basic features of the observed structure, completely randomizing the rest. In other words, as 2007 approaches the World Trade Web becomes more and more compatible with the picture of a bipartite network where correlations between countries and products are progressively lost.
Revised:  Remarkably, our results indicate that, from 2003 on, the WTW becomes more and more compatible with the picture of a bipartite network where correlations between countries and products are progressively lost.
Edit intent: coherence
Original:  In the second part of the paper, we have refined our analysis by considering subsets of nodes regarded in the literature as sharing similar economic traits: while the evolution of certain subgroups of countries and products confirms the trends highlighted by the global motifs, other groupings show a behavior compatible with our null model throughout the whole period 1995-2010, thus questioning the economic relevance traditionally assigned to these groups .
Revised:  We have also refined our analysis by considering subsets of nodes regarded in the literature as sharing similar economic traits: while the evolution of certain subgroups of countries and products confirms the trends highlighted by the global motifs, other groupings show a behavior compatible with our null model throughout the whole period 1995-2010, thus questioning the economic relevance traditionally assigned to these groups .
Edit intent: clarity
Original:  In the second part of the paper, we have refined our analysis by considering subsets of nodes regarded in the literature as sharing similar economic traits: while the evolution of certain subgroups of countries and products confirms the trends highlighted by the global motifs, other groupings show a behavior compatible with our null model throughout the whole period 1995-2010, thus questioning the economic relevance traditionally assigned to these groups .
Revised:  In the second part of the paper, we have refined our analysis by considering specific subsets of countries and products confirms the trends highlighted by the global motifs, other groupings show a behavior compatible with our null model throughout the whole period 1995-2010, thus questioning the economic relevance traditionally assigned to these groups .
Edit intent: clarity
Original:  In the second part of the paper, we have refined our analysis by considering subsets of nodes regarded in the literature as sharing similar economic traits: while the evolution of certain subgroups of countries and products confirms the trends highlighted by the global motifs, other groupings show a behavior compatible with our null model throughout the whole period 1995-2010, thus questioning the economic relevance traditionally assigned to these groups .
Revised:  In the second part of the paper, we have refined our analysis by considering subsets of nodes regarded in the literature as sharing similar economic traits: while the evolution of certain subgroups of countries and products : according to our analysis, the most statistically significant early-warning signals are provided by the most volatile macrosectors, especially when measured on emerging economies, suggesting the latter as the most sensitive indicators of the WTW health .
Edit intent: meaning-changed
Original: We perform a classification of the Lie point symmetries for the Black-Scholes-Merton model for European options with stochastic volatility \% \sigma, in which the last is defined by a stochastic differential equation with the Orstein-Uhlenbeck term.
Revised: We perform a classification of the Lie point symmetries for the Black--Scholes--Merton Model for European options with stochastic volatility \% \sigma, in which the last is defined by a stochastic differential equation with the Orstein-Uhlenbeck term.
Edit intent: fluency
Original: We perform a classification of the Lie point symmetries for the Black-Scholes-Merton model for European options with stochastic volatility \% \sigma, in which the last is defined by a stochastic differential equation with the Orstein-Uhlenbeck term.
Revised: We perform a classification of the Lie point symmetries for the Black-Scholes-Merton model for European options with stochastic volatility , \sigma, in which the last is defined by a stochastic differential equation with the Orstein-Uhlenbeck term.
Edit intent: clarity
Original: We perform a classification of the Lie point symmetries for the Black-Scholes-Merton model for European options with stochastic volatility \% \sigma, in which the last is defined by a stochastic differential equation with the Orstein-Uhlenbeck term.
Revised: We perform a classification of the Lie point symmetries for the Black-Scholes-Merton model for European options with stochastic volatility \% \sigma, in which the last is defined by a stochastic differential equation with an Orstein--Uhlenbeck term.
Edit intent: fluency