wanyu/IteraTeR_full_sent huggingface dataset:
Original:  As examples, the  set of superhedging portfolios in markets with  transaction costs is shown to have the stability property  and a multi-portfolio time consistent version of the set-valued average value at risk, the composed AV@R, is given and its dual representation deduced.
Revised:  As examples, the set of superhedging portfolios in markets with proportional transaction costs is shown to have the stability property and a multi-portfolio time consistent version of the set-valued average value at risk, the composed AV@R, is given and its dual representation deduced.
Edit intent: meaning-changed
Original:  As examples, the  set of superhedging portfolios in markets with  transaction costs is shown to have the stability property  and a multi-portfolio time consistent version of the set-valued average value at risk, the composed AV@R, is given and its dual representation deduced.
Revised:  As examples, the set of superhedging portfolios in markets with transaction costs is shown to have the stability property and in markets with convex transaction costs is shown to satisfy the composed cocycle condition, and a multi-portfolio time consistent version of the set-valued average value at risk, the composed AV@R, is given and its dual representation deduced.
Edit intent: meaning-changed
Original: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L ^p_d(F_T ) with image space in the power set of L ^p_d(F_t ).
Revised: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L _d^p(\Omega,\mathcal F_T,\mathbb P ) with image space in the power set of L ^p_d(F_t ).
Edit intent: meaning-changed
Original: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L ^p_d(F_T ) with image space in the power set of L ^p_d(F_t ).
Revised: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L ^p_d(F_T ) with image space in the power set of L _d^p(\Omega,\mathcal F_t,\mathbb P ).
Edit intent: meaning-changed
Original: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L _d ^p(\Omega,\mathcal F _T, \mathbb P ) with image space in the power set of L _d ^p(\Omega,\mathcal F_t, \mathbb P ).
Revised: Equivalent characterizations of multiportfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L _d ^p(\Omega,\mathcal F _T, \mathbb P ) with image space in the power set of L _d ^p(\Omega,\mathcal F_t, \mathbb P ).
Edit intent: fluency
Original: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L _d ^p(\Omega,\mathcal F _T, \mathbb P ) with image space in the power set of L _d ^p(\Omega,\mathcal F_t, \mathbb P ).
Revised: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L ^p(\Omega,\mathcal F _T, \mathbb P ) with image space in the power set of L _d ^p(\Omega,\mathcal F_t, \mathbb P ).
Edit intent: fluency
Original: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L _d ^p(\Omega,\mathcal F _T, \mathbb P ) with image space in the power set of L _d ^p(\Omega,\mathcal F_t, \mathbb P ).
Revised: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L _d ^p(\Omega,\mathcal F , P; R^d ) with image space in the power set of L _d ^p(\Omega,\mathcal F_t, \mathbb P ).
Edit intent: meaning-changed
Original: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L _d ^p(\Omega,\mathcal F _T, \mathbb P ) with image space in the power set of L _d ^p(\Omega,\mathcal F_t, \mathbb P ).
Revised: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L _d ^p(\Omega,\mathcal F _T, \mathbb P ) with image space in the power set of L ^p(\Omega,\mathcal F_t, \mathbb P ).
Edit intent: fluency
Original: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L _d ^p(\Omega,\mathcal F _T, \mathbb P ) with image space in the power set of L _d ^p(\Omega,\mathcal F_t, \mathbb P ).
Revised: Equivalent characterizations of multi-portfolio time consistency are deduced for closed convex and coherent set-valued risk measures on L _d ^p(\Omega,\mathcal F _T, \mathbb P ) with image space in the power set of L _d ^p(\Omega,\mathcal F_t, P;R^d ).
Edit intent: meaning-changed
Original:  the set of superhedging portfolios in markets with proportional transaction costs is shown to have the stability property and in markets with convex transaction costs is shown to satisfy the composed cocycle condition, and a multi-portfolio time consistent version of the set-valued average value at risk, the composed AV@R, is given and its dual representation deduced.
Revised:  the set of superhedging portfolios in markets with proportional transaction costs is shown to have the stability property and in markets with convex transaction costs is shown to satisfy the composed cocycle condition, and a multiportfolio time consistent version of the set-valued average value at risk, the composed AV@R, is given and its dual representation deduced.
Edit intent: fluency
Original:  They exhibit a non-vanishing strain-twist coupling, which depends on the local geometry, i.e. on curvature and torsion, yet the paths of closed loops are restricted by White's theorem. We suggest that the reciprocation of these principles leads to a twist neutrality condition . I.e. to a zero sum rule for the incremental change in the rate of winding along the curve  .
Revised:  They exhibit a non-vanishing strain-twist coupling, which depends on the local geometry, i.e. on curvature and torsion, yet the paths of closed molecules are globally restricted by topology. Molecules that fulfill a twist neutrality condition . I.e. to a zero sum rule for the incremental change in the rate of winding along the curve .
Edit intent: clarity
Original:  We suggest that the reciprocation of these principles leads to a twist neutrality condition . I.e. to a zero sum rule for the incremental change in the rate of winding along the curve  .
Revised:  We suggest that the reciprocation of these principles leads to a twist neutrality condition . I.e. to a zero sum rule for the incremental change in the rate of winding along the curve , will behave neutrally to strain .
Edit intent: meaning-changed
Original:  A first estimate of this minimum length is 120 base pairs. This is not far from the 80 base pairs which is about the smallest length observed in experimental studies. Slightly longer microDNAs are better described as an ellipse and a relationship between length and eccentricity for these is presented. In summary, molecular stability of chain molecules requires the local geometrical properties and the global topological properties to work in congruency .
Revised:  It also follows that all microDNAs longer than the minimum length must be concave. This counterintuitive result is consistent with the kink-like appearance which has been observed for circular DNA. A prediction for the total negative curvature of a circular microDNA is given as a function of its length .
Edit intent: meaning-changed
Original:  In case of Kabanov's exchange cone model, it is shown how the selection risk measure relates to the set-valued risk measures considered by Kulikov (2008) and Hamel and Heyde (2010  ).
Revised:  In case of Kabanov's exchange cone model, it is shown how the selection risk measure relates to the set-valued risk measures considered by Kulikov (2008) , Hamel and Heyde (2010 ).
Edit intent: coherence
Original:  In case of Kabanov's exchange cone model, it is shown how the selection risk measure relates to the set-valued risk measures considered by Kulikov (2008) and Hamel and Heyde (2010  ).
Revised:  In case of Kabanov's exchange cone model, it is shown how the selection risk measure relates to the set-valued risk measures considered by Kulikov (2008) and Hamel and Heyde (2010 ) and Hamel et al. (2013 ).
Edit intent: meaning-changed
Original:  In case of Kabanov's exchange cone model, it is shown how the selection risk measure relates to the set-valued risk measures considered by Kulikov (2008), Hamel and Heyde (2010) and Hamel et al. (2013).
Revised:  In case of Kabanov's exchange cone model, it is shown how the selection risk measure relates to the set-valued risk measures considered by Kulikov (2008), Hamel and Heyde (2010) , and Hamel, Heyde and Rudloff (2013).
Edit intent: meaning-changed
Original:  We capture the effects of mechanical tension F applied on the template DNA within the framework of a stochastic kinetic model of DNA replication . The model mimics an%DIFDELCMD < {\it %%%  in-vitro experiment where a single DNAP converts a ssDNA template into a dsDNA by its action .
Revised:  We capture the effects of mechanical tension F applied on the template DNA within the framework of a stochastic kinetic model of DNA replication %DIFDELCMD < {\it %%% in-vitro experiment where a single DNAP converts a ssDNA template into a dsDNA by its action .
Edit intent: clarity
Original:  The model mimics an%DIFDELCMD < {\it %%%  in-vitro experiment where a single DNAP converts a ssDNA template into a dsDNA by its action .
Revised:  The model mimics an%DIFDELCMD < {\it %%% that mimics an in-vitro experiment where a single DNAP converts a ssDNA template into a dsDNA by its action .
Edit intent: clarity
Original:  The model mimics an%DIFDELCMD < {\it %%%  in-vitro experiment where a single DNAP converts a ssDNA template into a dsDNA by its action .
Revised:  The model mimics an%DIFDELCMD < {\it %%% in-vitro experiment where a single-stranded DNA, subjected to a mechanical tension F, is converted to a double-stranded DNA by a single DNAP .
Edit intent: meaning-changed
Original:  The F-dependence of the average rate of replication, which includes also the effects of correction of misincorporations , is in good qualitative agreement with the corresponding experimental results.
Revised:  The F-dependence of the average rate of replication, which depends on the rates of both polymerase and exonuclease activities of the DNAP , is in good qualitative agreement with the corresponding experimental results.
Edit intent: meaning-changed
Original:   Using the methods of first-passage times for same model , we also derive the exact analytical expressions for the probability distributions of nine distinct conditional dwell times of a DNAP .
Revised:  We introduce 9 novel distinct conditional dwell times of a DNAP. Using the methods of first-passage times for same model , we also derive the exact analytical expressions for the probability distributions of nine distinct conditional dwell times of a DNAP .
Edit intent: meaning-changed
Original:  An analytical form of the formula on protein folding rate is obtained.
Revised:  It is proved that the influence of fast variables on the macromolecule can fully be taken into account through a phase transformation of slow variable wave function. Starting from the conformation- transition Hamiltonian the nonradiative matrix element is calculated in two important cases: A, only electrons are fast variables and the electronic state does not change in the transition process; B, fast variables are not limited to electrons but the perturbation approximation can be used. Then, the general formulas for protein folding rate are deduced. The analytical form of the formula on protein folding rate is obtained.
Edit intent: meaning-changed
Original:  An analytical form of the formula on protein folding rate is obtained. The proposed quantum protein folding theory affords a unifying approach to the study of a large class problems of biological conformational change , for example, the quantum transition of tubulin dimer in microtubules, the ligand binding in G protein coupled receptors in membrane, the histone modification in nucleic acid through atomic group binding and the protein photo folding processes, etc.
Revised:  An analytical form of the formula on protein folding rate and the curious non-Arrhenius temperature relation is interpreted. The decoherence time of quantum torsion state is estimated and the quantum coherence degree of torsional angles in the protein folding is studied by using temperature dependence data. The proposed folding rate formula gives a unifying approach to the study of a large class problems of biological conformational change , for example, the quantum transition of tubulin dimer in microtubules, the ligand binding in G protein coupled receptors in membrane, the histone modification in nucleic acid through atomic group binding and the protein photo folding processes, etc.
Edit intent: meaning-changed
Original:  The proposed quantum protein folding theory affords a unifying approach to the study of a large class problems of biological conformational change , for example, the quantum transition of tubulin dimer in microtubules, the ligand binding in G protein coupled receptors in membrane, the histone modification in nucleic acid through atomic group binding and the protein photo folding processes, etc.
Revised:  The proposed quantum protein folding theory affords a unifying approach for the study of a large class problems of biological conformational change , for example, the quantum transition of tubulin dimer in microtubules, the ligand binding in G protein coupled receptors in membrane, the histone modification in nucleic acid through atomic group binding and the protein photo folding processes, etc.
Edit intent: fluency
Original:  The proposed quantum protein folding theory affords a unifying approach to the study of a large class problems of biological conformational change , for example, the quantum transition of tubulin dimer in microtubules, the ligand binding in G protein coupled receptors in membrane, the histone modification in nucleic acid through atomic group binding and the protein photo folding processes, etc. In all these applications the concise rate formula is suggested as a useful tool for investigators .
Revised:  The proposed quantum protein folding theory affords a unifying approach to the study of a large class problems of biological conformational change .
Edit intent: coherence
Original: We present a mechanistic model for the adherence of two spherical flocs in quiescent flow conditions . Adhesion forces arise via the binding ligands as well as the attractive / repulsive surface potential in an ionic medium via the DLVO theory.
Revised: We present a mechanistic model for the adherence of two spherical flocs in quiescent flow conditions with their surface coated with binding ligands, a model for fluid-immersed adhesion in many biological and artificial settings. Our theory highlights how the physics of the binding kinetics of these ligands (expressed through the collision factor function) as well as the attractive / repulsive surface potential in an ionic medium via the DLVO theory.
Edit intent: meaning-changed
Original:  Adhesion forces arise via the binding ligands as well as the attractive / repulsive surface potential in an ionic medium via the DLVO theory. The reversible binding kinetics are assumed to follow the standard model for linear springs \mbox{%DIFAUXCMD Dembo1988 that large floc aggregates are possible with more tensile ligands due to efficient inter-floc collisions ( measured via the collision factor).
Revised:  Adhesion forces arise via the binding ligands as well as the attractive / repulsive surface potential in an ionic medium effects the eventual size of these particle aggregates (flocs). For experimentally measurable parameters in microbial population studies, our results suggests that large floc aggregates are possible with more tensile ligands due to efficient inter-floc collisions ( measured via the collision factor).
Edit intent: clarity
Original:  The reversible binding kinetics are assumed to follow the standard model for linear springs \mbox{%DIFAUXCMD Dembo1988 that large floc aggregates are possible with more tensile ligands due to efficient inter-floc collisions ( measured via the collision factor).
Revised:  The reversible binding kinetics are assumed to follow the standard model for linear springs \mbox{%DIFAUXCMD Dembo1988 that large floc aggregates are possible with more stretchable ligands due to efficient inter-floc collisions ( measured via the collision factor).
Edit intent: clarity
Original:  The reversible binding kinetics are assumed to follow the standard model for linear springs \mbox{%DIFAUXCMD Dembo1988 that large floc aggregates are possible with more tensile ligands due to efficient inter-floc collisions ( measured via the collision factor).
Revised:  The reversible binding kinetics are assumed to follow the standard model for linear springs \mbox{%DIFAUXCMD Dembo1988 that large floc aggregates are possible with more tensile ligands due to efficient inter-floc collisions ( or a large, non-zero collision factor).
Edit intent: clarity
Original: We consider the attachment of spherical particles in quiescent flow conditions with their surface coated with binding ligands , a model for fluid-immersed adhesion in many biological and artificial settings.
Revised: We consider the attachment of spherical particles in quiescent flow conditions with their surface coated with binding ligands and study their attachment in quiescent flow. This class of fluid-immersed adhesion in many biological and artificial settings.
Edit intent: meaning-changed
Original:  For experimentally measurable parameters in microbial population studies, our results suggests that large floc aggregates are possible with more stretchable ligands due to efficient inter-floc collisions ( or a large, non-zero collision factor).
Revised:  As an application of our theory, we consider a microbial population of spherical bacteria. Our results suggest that the elastic ligands allow large floc aggregates are possible with more stretchable ligands due to efficient inter-floc collisions ( or a large, non-zero collision factor).
Edit intent: meaning-changed
Original:  For experimentally measurable parameters in microbial population studies, our results suggests that large floc aggregates are possible with more stretchable ligands due to efficient inter-floc collisions ( or a large, non-zero collision factor).
Revised:  For experimentally measurable parameters in microbial population studies, our results suggests that large floc aggregates by inducing efficient inter-floc collisions ( or a large, non-zero collision factor).
Edit intent: clarity
Original:  For experimentally measurable parameters in microbial population studies, our results suggests that large floc aggregates are possible with more stretchable ligands due to efficient inter-floc collisions ( or a large, non-zero collision factor).
Revised:  For experimentally measurable parameters in microbial population studies, our results suggests that large floc aggregates are possible with more stretchable ligands due to efficient inter-floc collisions ( i.e., a large, non-zero collision factor).
Edit intent: clarity
Original:  Our theory highlights how the physics of the binding kinetics of these ligands (expressed through the collision factor function) as well as the attractive / repulsive surface potential in an ionic medium effects the eventual size of these particle aggregates (flocs).
Revised:  Our theory highlights how the micro-scale binding kinetics of these ligands (expressed through the collision factor function) as well as the attractive / repulsive surface potential in an ionic medium effects the eventual size of these particle aggregates (flocs).
Edit intent: clarity
Original:  Our theory highlights how the physics of the binding kinetics of these ligands (expressed through the collision factor function) as well as the attractive / repulsive surface potential in an ionic medium effects the eventual size of these particle aggregates (flocs).
Revised:  Our theory highlights how the physics of the binding kinetics of these ligands , as well as the attractive / repulsive surface potential in an ionic medium effects the eventual size of these particle aggregates (flocs).
Edit intent: clarity
Original:  Our theory highlights how the physics of the binding kinetics of these ligands (expressed through the collision factor function) as well as the attractive / repulsive surface potential in an ionic medium effects the eventual size of these particle aggregates (flocs).
Revised:  Our theory highlights how the physics of the binding kinetics of these ligands (expressed through the collision factor function) as well as the attractive / repulsive surface potential in an ionic medium effects the eventual macro-scale size distribution of the particle aggregates (flocs).
Edit intent: clarity
Original:  As an application of our theory, we consider a microbial population of spherical bacteria. Our results suggest that the elastic ligands allow large floc aggregates by inducing efficient inter-floc collisions (i.e., a large, non-zero collision factor).
Revised:  The results suggest that the elastic ligands allow large floc aggregates by inducing efficient inter-floc collisions (i.e., a large, non-zero collision factor).
Edit intent: coherence
Original: By numerical and empirical means a dynamic transition of a complex network was found from a hierarchical scale-free Minimal Spanning Tree (MST ), representing the stock market before the recent worldwide financial crash, to a superstar-like MST decorated by a scale-free hierarchy of trees representing the market's state for the period containing the crash.
Revised: We find numerical and empirical means a dynamic transition of a complex network was found from a hierarchical scale-free Minimal Spanning Tree (MST ), representing the stock market before the recent worldwide financial crash, to a superstar-like MST decorated by a scale-free hierarchy of trees representing the market's state for the period containing the crash.
Edit intent: coherence
Original: By numerical and empirical means a dynamic transition of a complex network was found from a hierarchical scale-free Minimal Spanning Tree (MST ), representing the stock market before the recent worldwide financial crash, to a superstar-like MST decorated by a scale-free hierarchy of trees representing the market's state for the period containing the crash.
Revised: By numerical and empirical evidence for dynamical, structural and topological phase transitions on the (German) Frankfurt Stock Exchange (FSE) in the temporal vicinity of the worldwide financial crash. Using the Minimal Spanning Tree (MST) technique, a particularly useful canonical tool of the graph theory, two transitions of the topology of a complex network was found from a hierarchical scale-free Minimal Spanning Tree (MST ), representing the stock market before the recent worldwide financial crash, to a superstar-like MST decorated by a scale-free hierarchy of trees representing the market's state for the period containing the crash.
Edit intent: meaning-changed