wanyu/IteraTeR_v2 huggingface dataset:
Original:  The method is based on the zero-curvature (Lax pair) representation and the lowest-order ``conservation laws'' . In contrast to the pioneering work of Ablowitz and Ladik, our method allows the auxiliary dependent variables appearing in the stage of time discretization to be expressed locally in terms of the original dependent variables.
Revised:  The method is based on the zero-curvature (Lax pair) representation and the lowest-order "conservation laws" . In contrast to the pioneering work of Ablowitz and Ladik, our method allows the auxiliary dependent variables appearing in the stage of time discretization to be expressed locally in terms of the original dependent variables.
Edit intent: fluency
Original:  The effectiveness of our method is illustrated using examples such as the Toda lattice, the Volterra lattice, the modified Volterra lattice, the Ablowitz-Ladik lattice (  integrable semi-discrete nonlinear Schroedinger system), and the lattice Heisenberg ferromagnet model.
Revised:  The effectiveness of our method is illustrated using examples such as the Toda lattice, the Volterra lattice, the modified Volterra lattice, the Ablowitz-Ladik lattice ( an integrable semi-discrete nonlinear Schroedinger system), and the lattice Heisenberg ferromagnet model.
Edit intent: fluency
Original:  Our results indicate that collisions that induce depolymerization are the main driving factor in the alignment of microtubules in the cortical array.
Revised:  Our results indicate that collisions that induce depolymerization are sufficient to generate the alignment of microtubules in the cortical array.
Edit intent: clarity
Original: In this paper two complexity efficient soft sphere-decoder modifications are proposed for computing the max-log LLR values in iterative MIMO systems, which avoid the costly, typically needed, full enumeration and sorting (FES) procedure during the tree search traversal without compromising the max-log performance.
Revised: In this paper two complexity efficient soft sphere-decoder modifications are proposed for computing the max-log LLR values in iterative MIMO systems, which avoid the costly, typically needed, full enumeration and sorting (FES) procedure during the tree traversal without compromising the max-log performance.
Edit intent: clarity
Original:  To this end statistical comparisons are undertaken of the frequency distributions of data from physical sources--repositories of information such as images, data stored in a hard drive, computer programs and DNA sequences--and the output frequency distributions generated by purely algorithmic means--by running abstract computing devices such as Turing machines, cellular automata and Post Tag systems.
Revised:  To this end we have undertaken a statistical comparison of the frequency distributions of data from physical sources--repositories of information such as images, data stored in a hard drive, computer programs and DNA sequences--and the output frequency distributions generated by purely algorithmic means--by running abstract computing devices such as Turing machines, cellular automata and Post Tag systems.
Edit intent: clarity
Original:  To this end statistical comparisons are undertaken of the frequency distributions of data from physical sources--repositories of information such as images, data stored in a hard drive, computer programs and DNA sequences--and the output frequency distributions generated by purely algorithmic means--by running abstract computing devices such as Turing machines, cellular automata and Post Tag systems.
Revised:  To this end statistical comparisons are undertaken of the frequency distributions of data from physical sources on the one hand--repositories of information such as images, data stored in a hard drive, computer programs and DNA sequences--and the output frequency distributions generated by purely algorithmic means--by running abstract computing devices such as Turing machines, cellular automata and Post Tag systems.
Edit intent: clarity
Original:  To this end statistical comparisons are undertaken of the frequency distributions of data from physical sources--repositories of information such as images, data stored in a hard drive, computer programs and DNA sequences--and the output frequency distributions generated by purely algorithmic means--by running abstract computing devices such as Turing machines, cellular automata and Post Tag systems.
Revised:  To this end statistical comparisons are undertaken of the frequency distributions of data from physical sources--repositories of information such as images, data stored in a hard drive, computer programs and DNA sequences--and the frequency distributions generated by purely algorithmic means--by running abstract computing devices such as Turing machines, cellular automata and Post Tag systems.
Edit intent: clarity
Original:  To this end statistical comparisons are undertaken of the frequency distributions of data from physical sources--repositories of information such as images, data stored in a hard drive, computer programs and DNA sequences--and the output frequency distributions generated by purely algorithmic means--by running abstract computing devices such as Turing machines, cellular automata and Post Tag systems.
Revised:  To this end statistical comparisons are undertaken of the frequency distributions of data from physical sources--repositories of information such as images, data stored in a hard drive, computer programs and DNA sequences--and the output frequency distributions generated by purely algorithmic means on the other--by running abstract computing devices such as Turing machines, cellular automata and Post Tag systems.
Edit intent: clarity
Original: A resource-bounded version of the statement "no algorithm recognizes all non-halting Turing machines" is equivalent to an infinitely-often (i.o.) superpolynomial speedup for the time required to accept any coNP-complete language and also equivalent to a superpolynomial speedup in proof length in propositional proof systems for tautologies, each of which implies P!=NP.
Revised: A resource-bounded version of the statement "no algorithm recognizes all non-halting Turing machines" is equivalent to an infinitely often (i.o.) superpolynomial speedup for the time required to accept any coNP-complete language and also equivalent to a superpolynomial speedup in proof length in propositional proof systems for tautologies, each of which implies P!=NP.
Edit intent: clarity
Original: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of semiflexible polymers with finite excluded volume . Comparison of tangent-tangent correlation, size and shape of the different models  shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Revised: Two-dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of semiflexible polymers with finite excluded volume . Comparison of tangent-tangent correlation, size and shape of the different models shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Edit intent: fluency
Original: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of semiflexible polymers with finite excluded volume . Comparison of tangent-tangent correlation, size and shape of the different models  shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Revised: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom polymers as well as of semiflexible polymers with finite excluded volume . Comparison of tangent-tangent correlation, size and shape of the different models shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Edit intent: fluency
Original: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of semiflexible polymers with finite excluded volume . Comparison of tangent-tangent correlation, size and shape of the different models  shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Revised: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of polymers with finite excluded volume . Comparison of tangent-tangent correlation, size and shape of the different models shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Edit intent: fluency
Original: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of semiflexible polymers with finite excluded volume . Comparison of tangent-tangent correlation, size and shape of the different models  shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Revised: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of semiflexible polymers with finite thickness . Comparison of tangent-tangent correlation, size and shape of the different models shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Edit intent: clarity
Original: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of semiflexible polymers with finite excluded volume . Comparison of tangent-tangent correlation, size and shape of the different models  shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Revised: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of semiflexible polymers with finite excluded volume . Comparison of size and shape of the different models shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Edit intent: coherence
Original: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of semiflexible polymers with finite excluded volume . Comparison of tangent-tangent correlation, size and shape of the different models  shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Revised: Two dimensional semiflexible polymer rings are studied both by imaging circular DNA adsorbed on a mica surface and by Monte Carlo simulations of phantom semiflexible polymers as well as of semiflexible polymers with finite excluded volume . Comparison of tangent-tangent correlation, size and shape of the different models over the full range of flexibilities shows that excluded volume induces effective stiffening and swelling, the latter being non-affine.
Edit intent: clarity
Original:  This force is more adaptable to noisy images with complicate geometry .
Revised:  This force is more adaptable to noisy images with complicated geometric shapes .
Edit intent: clarity
Original:  This mechanism is proposed as a new physical justification for the self-organization phenomenon, having an advantage over more traditional approaches based on statistical mechanics of open systems far from equilibrium, as it does not encounter the problem of "tradeoff between stability and complexity" at the level of individual cell.
Revised:  This mechanism is proposed as a new physical justification for the self-organization , the Cf principle does not encounter the problem of "tradeoff between stability and complexity" at the level of individual cell.
Edit intent: clarity
Original:  The Cf is considered as a  force of reaction, which keeps the physical state of the cell close to the ground state, where all enzymatic acts work perfectly well.
Revised:  Physically, the Cf is considered as a force of reaction, which keeps the physical state of the cell close to the ground state, where all enzymatic acts work perfectly well.
Edit intent: coherence
Original:  The Cf is considered as a  force of reaction, which keeps the physical state of the cell close to the ground state, where all enzymatic acts work perfectly well.
Revised:  The Cf is considered as a force of reaction, which keeps the state of the cell close to the ground state, where all enzymatic acts work perfectly well.
Edit intent: clarity
Original:  The Cf is considered as a  force of reaction, which keeps the physical state of the cell close to the ground state, where all enzymatic acts work perfectly well.
Revised:  The Cf is considered as a force of reaction, which keeps the physical state of the cell close to the ground state, defined here as a state where enzymatic acts work perfectly well.
Edit intent: clarity
Original:  Given that ground state is subject to unitary evolution, this notion is proposed as a starting point in a more general strategy of quantum description of intracellular processes, termed here "Euclidean approach".
Revised:  Given that ground state is subject to unitary evolution, and serves as a starting point in a more general strategy of quantum description of intracellular processes, termed here "Euclidean approach".
Edit intent: clarity
Original:  Given that ground state is subject to unitary evolution, this notion is proposed as a starting point in a more general strategy of quantum description of intracellular processes, termed here "Euclidean approach".
Revised:  Given that ground state is subject to unitary evolution, this notion is proposed as a starting point in a general strategy of quantum description of intracellular processes, termed here "Euclidean approach".
Edit intent: clarity
Original:  The next step of this strategy is transition from the description of ground state to that one of growth , and we suggest how it can be accomplished using arguments from the fluctuation-dissipation theorem.
Revised:  The next step of this strategy is transition from the description of ground state to that one of growing state , and we suggest how it can be accomplished using arguments from the fluctuation-dissipation theorem.
Edit intent: fluency
Original: A transition rate model of cargo transportation by N effective molecular motors is proposed.
Revised: A transition rate model of cargo transport by N molecular motors is proposed.
Edit intent: clarity
Original:  This gives a possible explanation to some recent experimental observations.
Revised:  This gives a possible explanation to some recent 
Edit intent: clarity
Original: The multicommodity flow problem is NP-hard already for two commodities on bipartite graphs.
Revised: The multicommodity flow problem is NP-hard already for two commodities over bipartite graphs.
Edit intent: fluency
Original: This paper provides a further refinement to the previous response by introducing new structures and algorithms for counting VMPs of common ER  and hence for counting the perfect matchings .
Revised: This paper provides a further refinement to the previous response by introducing new structures and algorithms for counting VMPs of common ER (ER) and hence for counting the perfect matchings .
Edit intent: clarity
Original: In this work we model the ACME  printer case incident  and make its specification in Forensic Lucid, a Lucid- and intensional-logic-based programming language for cyberforensic analysis and event reconstruction specification.
Revised: In this work we model the ACME printer case incident " and make its specification in Forensic Lucid, a Lucid- and intensional-logic-based programming language for cyberforensic analysis and event reconstruction specification.
Edit intent: fluency
Original:  The printer case involves a dispute about two parties that was previously solved using the finite-state automata (FSA) approach, and  now re-done in a more usable way in Forensic Lucid  .
Revised:  The printer case involves a dispute between two parties that was previously solved using the finite-state automata (FSA) approach, and now re-done in a more usable way in Forensic Lucid .
Edit intent: clarity
Original:  The printer case involves a dispute about two parties that was previously solved using the finite-state automata (FSA) approach, and  now re-done in a more usable way in Forensic Lucid  .
Revised:  The printer case involves a dispute about two parties that was previously solved using the finite-state automata (FSA) approach, and is now re-done in a more usable way in Forensic Lucid .
Edit intent: fluency
Original:  We develop WKB theory to determine the most probable path of the system toward epidemic fade-out , and to evaluate the fade-out probability.
Revised:  We develop WKB theory to determine the most probable path of the system toward epidemic fade-out and to evaluate the fade-out probability.
Edit intent: fluency
Original:  Transpiration is part of the global water cycle, and it is this cycle that distinguishes Earth from its  life barren neighboring planets, Venus and Mars.
Revised:  Transpiration is part of the global water cycle, and it is this cycle that distinguishes Earth from its apparently life barren neighboring planets, Venus and Mars.
Edit intent: clarity
Original:  Out of equilibrium structuring in space and time is contingent on continuous entropy production.
Revised:  Life, as are all irreversible processes, is contingent on continuous entropy production.
Edit intent: clarity
Original:  Out of equilibrium structuring in space and time is contingent on continuous entropy production.
Revised:  Out of equilibrium structuring in space and time is contingent on entropy production.
Edit intent: clarity
Original:  Entropy production is a measure of the rate of the natural tendency of Nature to explore all available microstates.
Revised:  Entropy production is a measure of the rate of the tendency of Nature to explore all available microstates.
Edit intent: clarity
Original:  Entropy production is a measure of the rate of the natural tendency of Nature to explore all available microstates.
Revised:  Entropy production is a measure of the rate of the natural tendency of Nature to explore available microstates.
Edit intent: clarity
Original:  The process producing the greatest amount of entropy in the biosphere  is the absorption and transformation of sunlight , leading to the transpiration of water by plants and cyanobacteria .
Revised:  The most important irreversible process generating entropy in the biosphere is the absorption and transformation of sunlight , leading to the transpiration of water by plants and cyanobacteria .
Edit intent: clarity
Original:  Here we hypothesize that life began, and exists today, as a dynamic catalyst for the absorption and transformation of sunlight into heat , which could then be efficiently harvested by  the water cycle, hurricanes, and ocean and wind currents.
Revised:  Here we hypothesize that life began, and persists today, as a dynamic catalyst for the absorption and transformation of sunlight into heat , which could then be efficiently harvested by the water cycle, hurricanes, and ocean and wind currents.
Edit intent: clarity
Original:  Here we hypothesize that life began, and exists today, as a dynamic catalyst for the absorption and transformation of sunlight into heat , which could then be efficiently harvested by  the water cycle, hurricanes, and ocean and wind currents.
Revised:  Here we hypothesize that life began, and exists today, as a catalyst for the absorption and transformation of sunlight into heat , which could then be efficiently harvested by the water cycle, hurricanes, and ocean and wind currents.
Edit intent: clarity
Original:  RNA and DNA are the most efficient of all known molecules for absorbing the  ultraviolet light that could have penetrated the dense early atmosphere, and are extremely rapid in transforming this light into heat that can be readily absorbed by liquid water.
Revised:  RNA and DNA are the most efficient of all known molecules for absorbing the ultraviolet light that could have penetrated the dense early atmosphere, and are remarkably rapid in transforming this light into heat that can be readily absorbed by liquid water.
Edit intent: clarity
Original:  RNA and DNA are the most efficient of all known molecules for absorbing the  ultraviolet light that could have penetrated the dense early atmosphere, and are extremely rapid in transforming this light into heat that can be readily absorbed by liquid water.
Revised:  RNA and DNA are the most efficient of all known molecules for absorbing the ultraviolet light that could have penetrated the dense early atmosphere, and are extremely rapid in transforming this light into heat in the presence of liquid water.
Edit intent: clarity
Original:  The origin and evolution of life was thus driven by the natural thermodynamic imperative of increasing the entropy production of the  Earth.
Revised:  From this perspective, the origin and evolution of life was thus driven by the natural thermodynamic imperative of increasing the entropy production of the Earth.
Edit intent: clarity
Original: In this paper we consider the problem of finding a vector that can be written as a nonnegative , integer and linear combination of given 0-1 vectors, the generators, such that the l_1-distance between this vector and a given target vector is minimized.
Revised: In this paper we consider the problem of finding a vector that can be written as a nonnegative integer linear combination of given 0-1 vectors, the generators, such that the l_1-distance between this vector and a given target vector is minimized.
Edit intent: clarity
Original:  We also give a proof that in the particular case where the vectors satisfy the consecutive ones property , the problem can be formulated as a min-cost flow problem, hence can be solved in polynomial time.
Revised:  We also observe that in the particular case where the vectors satisfy the consecutive ones property , the problem can be formulated as a min-cost flow problem, hence can be solved in polynomial time.
Edit intent: clarity
Original:  We also give a proof that in the particular case where the vectors satisfy the consecutive ones property , the problem can be formulated as a min-cost flow problem, hence can be solved in polynomial time.
Revised:  We also give a proof that in the particular case where the vectors satisfy the consecutive ones property , the problem can be solved in polynomial time.
Edit intent: coherence
Original: Although researchers often discuss the popularity of meta-heuristics ( MH ), there has been a paucity of data to  support the notion that MH are growing in prominence compared to deterministic methods (DM) . Here we provide the first evidence that MH usage is not only growing, but  appears to have surpassed DM as the algorithm framework of choice for solving optimization problems.
Revised: Although researchers often discuss the popularity of meta-heuristics ( MH ), there has been a paucity of data to support the notion that MH are growing in prominence compared to other optimization techniques . Here we provide the first evidence that MH usage is not only growing, but appears to have surpassed DM as the algorithm framework of choice for solving optimization problems.
Edit intent: clarity