wanyu/IteraTeR_full_sent huggingface dataset:
Original:  we first specialize the optimal transport plan introduced in \mbox{%DIFAUXCMD BeiglJuil0pt%DIFAUXCMD , following the construction of \mbox{%DIFAUXCMD BrenierMartingale}0pt%DIFAUXCMD , }  as well as the one 0pt%DIFAUXCMD and further studied in \mbox{%DIFAUXCMD BrenierMartingale}\hspace{0pt}%DIFAUXCMD . We show that, } in \mbox{%DIFAUXCMD \cite{HobsonKlimmek2013}\hspace{0pt}%DIFAUXCMD , to } the case of positive martingales and a single maximizer for the difference between the c.d.f.'
Revised:  we first specialize the optimal transport plan introduced in \mbox{%DIFAUXCMD BeiglJuil0pt%DIFAUXCMD , following the construction of \mbox{%DIFAUXCMD BrenierMartingale}0pt%DIFAUXCMD , } as well as the one 0pt%DIFAUXCMD and further studied in \mbox{%DIFAUXCMD BrenierMartingale}\hspace{0pt}%DIFAUXCMD . We show that, } in }\hspace{0pt}%DIFAUXCMD , to } the case of positive martingales and a single maximizer for the difference between the c.d.f.'
Edit intent: meaning-changed
Original:  we first specialize the optimal transport plan introduced in \mbox{%DIFAUXCMD BeiglJuil0pt%DIFAUXCMD , following the construction of \mbox{%DIFAUXCMD BrenierMartingale}0pt%DIFAUXCMD , }  as well as the one 0pt%DIFAUXCMD and further studied in \mbox{%DIFAUXCMD BrenierMartingale}\hspace{0pt}%DIFAUXCMD . We show that, } in \mbox{%DIFAUXCMD \cite{HobsonKlimmek2013}\hspace{0pt}%DIFAUXCMD , to } the case of positive martingales and a single maximizer for the difference between the c.d.f.'s of the two marginals. These characterizations allow us to study the effect of the change of numeraire on the corresponding super and subhedging model-free prices.
Revised:  we first specialize the optimal transport plan introduced in \mbox{%DIFAUXCMD BeiglJuil0pt%DIFAUXCMD , following the construction of \mbox{%DIFAUXCMD BrenierMartingale}0pt%DIFAUXCMD , } as well as the one 0pt%DIFAUXCMD and further studied in \mbox{%DIFAUXCMD BrenierMartingale}\hspace{0pt}%DIFAUXCMD . We show that, } in \mbox{%DIFAUXCMD \cite{HobsonKlimmek2013}\hspace{0pt}%DIFAUXCMD , to } the case of positive martingales , a suitable change of numeraire on the corresponding super and subhedging model-free prices.
Edit intent: meaning-changed
Original:  These characterizations allow us to study the effect of the change of numeraire on the corresponding super and subhedging model-free prices. It turns out that, for \mbox{%DIFAUXCMD \cite{BrenierMartingale}\hspace{0pt}%DIFAUXCMD 's construction, the change of numeraire can be viewed as a mirror coupling for positive martingales, while for \mbox{%DIFAUXCMD \cite{HobsonKlimmek2013} }\hspace{0pt}%DIFAUXCMD it }  }\hspace{0pt}%DIFAUXCMD } exchanges forward start straddles of type I and type II giving also that the optimal transport plan in the subhedging problems is the same for both types of options.
Revised:  These characterizations allow us to study the effect of the change of numeraire }\hspace{0pt}%DIFAUXCMD 's construction, the change of numeraire can be viewed as a mirror coupling for positive martingales, while for \mbox{%DIFAUXCMD \cite{HobsonKlimmek2013} }\hspace{0pt}%DIFAUXCMD it } }\hspace{0pt}%DIFAUXCMD } exchanges forward start straddles of type I and type II giving also that the optimal transport plan in the subhedging problems is the same for both types of options.
Edit intent: clarity
Original:  It turns out that, for \mbox{%DIFAUXCMD \cite{BrenierMartingale}\hspace{0pt}%DIFAUXCMD 's construction, the change of numeraire can be viewed as a mirror coupling for positive martingales, while for \mbox{%DIFAUXCMD \cite{HobsonKlimmek2013} }\hspace{0pt}%DIFAUXCMD it }  }\hspace{0pt}%DIFAUXCMD } exchanges forward start straddles of type I and type II giving also that the optimal transport plan in the subhedging problems is the same for both types of options.
Revised:  It turns out that, for \mbox{%DIFAUXCMD \cite{BrenierMartingale}\hspace{0pt}%DIFAUXCMD 's construction, the change of numeraire can be viewed as a mirror coupling for positive martingales, while for \mbox{%DIFAUXCMD \cite{HobsonKlimmek2013} }\hspace{0pt}%DIFAUXCMD it } applied to \mbox{%DIFAUXCMD \cite{HobsonKlimmek2013 }\hspace{0pt}%DIFAUXCMD } exchanges forward start straddles of type I and type II giving also that the optimal transport plan in the subhedging problems is the same for both types of options.
Edit intent: meaning-changed
Original:  It turns out that, for \mbox{%DIFAUXCMD \cite{BrenierMartingale}\hspace{0pt}%DIFAUXCMD 's construction, the change of numeraire can be viewed as a mirror coupling for positive martingales, while for \mbox{%DIFAUXCMD \cite{HobsonKlimmek2013} }\hspace{0pt}%DIFAUXCMD it }  }\hspace{0pt}%DIFAUXCMD } exchanges forward start straddles of type I and type II giving also that the optimal transport plan in the subhedging problems is the same for both types of options.
Revised:  It turns out that, for \mbox{%DIFAUXCMD \cite{BrenierMartingale}\hspace{0pt}%DIFAUXCMD 's construction, the change of numeraire can be viewed as a mirror coupling for positive martingales, while for \mbox{%DIFAUXCMD \cite{HobsonKlimmek2013} }\hspace{0pt}%DIFAUXCMD it } }\hspace{0pt}%DIFAUXCMD } exchanges forward start straddles of type I and type II , so that the optimal transport plan in the subhedging problems is the same for both types of options.
Edit intent: coherence
Original:  Some numerical applications are}\hspace{0pt}%DIFAUXCMD 's construction, the right monotone transference plan can be viewed as a mirror coupling of its left counterpart under the change of numeraire.
Revised:  Moreover, for \mbox{%DIFAUXCMD \cite{BrenierMartingale}\hspace{0pt}%DIFAUXCMD 's construction, the right monotone transference plan can be viewed as a mirror coupling of its left counterpart under the change of numeraire.
Edit intent: meaning-changed
Original:  It assumes that attractors  correspond to phenotypes produced by the modeled biological network. It identifies target combinations which allow disturbed networks to avoid attractors associated with pathological phenotypes.
Revised:  It assumes that attractors correspond to phenotypes produced by the modeled biological system. Under this assumption, and given a Boolean network modeling a pathophysiology, the algorithm identifies target combinations which allow disturbed networks to avoid attractors associated with pathological phenotypes.
Edit intent: meaning-changed
Original:  The algorithm is tested on a boolean model of the mammalian cell cycle  and its applications are illustrated on a boolean model of Fanconi anemia.
Revised:  The algorithm is tested on a boolean model of the mammalian cell cycle bearing a constitutive inactivation of the retinoblastoma protein, as seen in cancers, and its applications are illustrated on a boolean model of Fanconi anemia.
Edit intent: meaning-changed
Original: Biotechnological expertise and related tools (required e.g. for drug synthesis) increases daily mainly driven by a continuum of tumultuous experimental breakthroughs . In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em  ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates (  as YES and NOT),  the whole triggering prompt effort even from the theoretical counterpart.
Revised: Recent experimental breakthroughs have finally allowed to implement in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates ( as YES and NOT), the whole triggering prompt effort even from the theoretical counterpart.
Edit intent: clarity
Original:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em  ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates (  as YES and NOT),  the whole triggering prompt effort even from the theoretical counterpart.
Revised:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( the so called{\em ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates ( as YES and NOT), the whole triggering prompt effort even from the theoretical counterpart.
Edit intent: clarity
Original:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em  ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates (  as YES and NOT),  the whole triggering prompt effort even from the theoretical counterpart.
Revised:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em enzyme based logic ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates ( as YES and NOT), the whole triggering prompt effort even from the theoretical counterpart.
Edit intent: meaning-changed
Original:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em  ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates (  as YES and NOT),  the whole triggering prompt effort even from the theoretical counterpart.
Revised:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em ) which code for two-inputs logic gates and mimic the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates ( as YES and NOT), the whole triggering prompt effort even from the theoretical counterpart.
Edit intent: coherence
Original:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em  ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates (  as YES and NOT),  the whole triggering prompt effort even from the theoretical counterpart.
Revised:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em ) which code for two-inputs logic gates mimicking the stochastic AND ( and NAND) as well as the stochastic OR ( NOR), beyond simpler and already known single-input gates ( as YES and NOT), the whole triggering prompt effort even from the theoretical counterpart.
Edit intent: clarity
Original:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em  ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates (  as YES and NOT),  the whole triggering prompt effort even from the theoretical counterpart.
Revised:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( and NOR). This accomplishment, together with the already-known single-input gates ( as YES and NOT), the whole triggering prompt effort even from the theoretical counterpart.
Edit intent: clarity
Original:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em  ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates (  as YES and NOT),  the whole triggering prompt effort even from the theoretical counterpart.
Revised:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates ( performing as YES and NOT), the whole triggering prompt effort even from the theoretical counterpart.
Edit intent: clarity
Original:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em  ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates (  as YES and NOT),  the whole triggering prompt effort even from the theoretical counterpart.
Revised:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates ( as YES and NOT), provides a logic base and paves the way to the development of powerful biotechnological devices. The investigation of this field would enormously benefit from a self-consistent, predictive, theoretical framework. Here we formulate a complete statistical mechanical description of the whole triggering prompt effort even from the theoretical counterpart.
Edit intent: meaning-changed
Original:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em  ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates (  as YES and NOT),  the whole triggering prompt effort even from the theoretical counterpart. To this task, several allosteric receptor-ligand systems are hereby described according to the Monod-Wyman-Changeaux model:
Revised:  In particular, recently, scientists have been able to build in-vitro reaction kinetics ( among enzymatic proteins and their ligands{\em ) which code for two-inputs logic gates mimicking the stochastic AND ( NAND) and the stochastic OR ( NOR), beyond simpler and already known single-input gates ( as YES and NOT), the Monod-Wyman-Changeaux model:
Edit intent: coherence
Original:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity  for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on the ranges and scaling of the involved parameters actually missing in the Literature)
Revised:  with the purpose of exploring their practical capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on the ranges and scaling of the involved parameters actually missing in the Literature)
Edit intent: clarity
Original:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity  for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on the ranges and scaling of the involved parameters actually missing in the Literature)
Revised:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations . Mixing statistical mechanics with logics, and quantitatively our findings with the available biochemical data, we successfully revise the concept of cooperativity for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on the ranges and scaling of the involved parameters actually missing in the Literature)
Edit intent: meaning-changed
Original:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity  for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on the ranges and scaling of the involved parameters actually missing in the Literature)
Revised:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity (and anti-cooperativity) for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on the ranges and scaling of the involved parameters actually missing in the Literature)
Edit intent: meaning-changed
Original:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity  for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on the ranges and scaling of the involved parameters actually missing in the Literature)
Revised:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity for allosteric systems , with particular emphasis on the ranges and scaling of the involved parameters actually missing in the Literature)
Edit intent: clarity
Original:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity  for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on the ranges and scaling of the involved parameters actually missing in the Literature)
Revised:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on its computational capabilities, the related ranges and scaling of the involved parameters actually missing in the Literature)
Edit intent: clarity
Original:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity  for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on the ranges and scaling of the involved parameters actually missing in the Literature) and we show how these reactions may successfully encode logical computing, beyond the YES and NOT gates, playing also as stochastic version of the AND (NAND) and the OR (NOR)operators .
Revised:  with the purpose of exploring their concrete functional capabilities to express logical operators and/or perform logical operations , we revise the concept of cooperativity for allosteric systems trough an extensive treatment of their statistical mechanical formulation ( with particular emphasis on the ranges and scaling of the involved parameters and its differences with classical cooperativity (and anti-cooperativity) .
Edit intent: meaning-changed
Original:  We develop a model that can predict the response of the financial network to a shock and propose a measure for the systemic importance of the banks, which we call BankRank.
Revised:  Using the methodology of classical mechanics and Laplacian determinism we develop a model that can predict the response of the financial network to a shock and propose a measure for the systemic importance of the banks, which we call BankRank.
Edit intent: meaning-changed
Original:  Using the European Bank Authority 2011 stress test exposure data, we apply our model to the bipartite network of the largest institutional holders of troubled European countries (Greece, Italy, Portugal, Spain, and Ireland).
Revised:  Using European Bank Authority 2011 stress test exposure data, we apply our model to the bipartite network of the largest institutional holders of troubled European countries (Greece, Italy, Portugal, Spain, and Ireland).
Edit intent: fluency
Original:  Using the European Bank Authority 2011 stress test exposure data, we apply our model to the bipartite network of the largest institutional holders of troubled European countries (Greece, Italy, Portugal, Spain, and Ireland).
Revised:  Using the European Bank Authority 2011 stress test exposure data, we apply our model to the bipartite network connecting the largest institutional holders of troubled European countries (Greece, Italy, Portugal, Spain, and Ireland).
Edit intent: clarity
Original:  Using the European Bank Authority 2011 stress test exposure data, we apply our model to the bipartite network of the largest institutional holders of troubled European countries (Greece, Italy, Portugal, Spain, and Ireland).
Revised:  Using the European Bank Authority 2011 stress test exposure data, we apply our model to the bipartite network of the largest institutional debt holders of the troubled European countries (Greece, Italy, Portugal, Spain, and Ireland).
Edit intent: clarity
Original:  Fitting the parameters to Eurocrisis data shows that , before the crisis, the  system was mostly in the " calm " regime while during the Eurocrisis it went into the " panicked " regime.
Revised:  Fitting the parameters of the model, which play the role of physical coupling constants, to Eurozone crisis data shows that , before the crisis, the system was mostly in the " calm " regime while during the Eurocrisis it went into the " panicked " regime.
Edit intent: meaning-changed
Original:  Fitting the parameters to Eurocrisis data shows that , before the crisis, the  system was mostly in the " calm " regime while during the Eurocrisis it went into the " panicked " regime.
Revised:  Fitting the parameters to Eurocrisis data shows that , before the crisis, the Eurozone crisis the system was mostly in the " calm " regime while during the Eurocrisis it went into the " panicked " regime.
Edit intent: meaning-changed
Original:  Fitting the parameters to Eurocrisis data shows that , before the crisis, the  system was mostly in the " calm " regime while during the Eurocrisis it went into the " panicked " regime.
Revised:  Fitting the parameters to Eurocrisis data shows that , before the crisis, the system was mostly in a " calm " regime while during the Eurocrisis it went into the " panicked " regime.
Edit intent: fluency
Original:  Fitting the parameters to Eurocrisis data shows that , before the crisis, the  system was mostly in the " calm " regime while during the Eurocrisis it went into the " panicked " regime.
Revised:  Fitting the parameters to Eurocrisis data shows that , before the crisis, the system was mostly in the " stable " regime while during the Eurocrisis it went into the " panicked " regime.
Edit intent: clarity
Original:  Fitting the parameters to Eurocrisis data shows that , before the crisis, the  system was mostly in the " calm " regime while during the Eurocrisis it went into the " panicked " regime.
Revised:  Fitting the parameters to Eurocrisis data shows that , before the crisis, the system was mostly in the " calm " regime , and that during the crisis it transitioned into an " panicked " regime.
Edit intent: clarity