wanyu/IteraTeR_v2 huggingface dataset:
Original:  Each party includes all the different clones of the same lymphatic subpopulation, whose couplings to the others are either excitatory or inhibitory (mirroring elicitation and suppression by cytokine) : First of all, we show that this system can be mapped into an associative neural network, where helper cells directly interact with each other and are able to secrete cytokines according to "strategies" learnt by the system and profitable to cope with possible antigenic stimulation;
Revised:  Each party includes all the different clones of the same lymphatic subpopulation, whose couplings to the others are either excitatory or inhibitory (mirroring elicitation and suppression by cytokine) . First of all, we show that this system can be mapped into an associative neural network, where helper cells directly interact with each other and are able to secrete cytokines according to "strategies" learnt by the system and profitable to cope with possible antigenic stimulation;
Edit intent: fluency
Original:  the ability of such a retrieval corresponds to an healthy reaction of the immune system.
Revised:  the ability of such a retrieval corresponds to a healthy reaction of the immune system.
Edit intent: fluency
Original: We derive a small-time expansion for out-of-the-money call options under an exponential Levy model, using the small-time expansion for the distribution function given in Figueroa-Lopez & Houdre (2009), combined with a change of numeraire via the Esscher transform.
Revised: We derive a small-time expansion for out-of-the-money call options under an exponential Levy model, using the small-time expansion for the distribution function given in Figueroa-Lopez & Houdre (2009), combined with a change of num\'eraire via the Esscher transform.
Edit intent: fluency
Original:  In particular, we  find that the effect of a non-zero volatility \sigma of the Gaussian component of the driving L\'{e}vy process is to increase the call price by 1/2\sigma^2 t^2 e^{k}\nu(k)(1+o(1)) as t \to 0, where \nu is the L\'evy density.
Revised:  In particular, we quantify find that the effect of a non-zero volatility \sigma of the Gaussian component of the driving L\'{e}vy process is to increase the call price by 1/2\sigma^2 t^2 e^{k}\nu(k)(1+o(1)) as t \to 0, where \nu is the L\'evy density.
Edit intent: fluency
Original: We construct a tensor network that delivers an unnormalized quantum state whose coefficients are the solutions to a given instance of the 3SAT  problem.
Revised: We construct a tensor network that delivers an unnormalized quantum state whose coefficients are the solutions to a given instance of 3SAT problem.
Edit intent: fluency
Original:  It follows that exact contractions of tensor networks are in the #P-complete computational complexity class  .
Revised:  It follows that exact contractions of this tensor network are in the #P-complete computational complexity class .
Edit intent: clarity
Original:  Furthermore, we show that , for a 3SAT instance with n bits, it is enough to perform n further contractions of the tensor network structure associated to the computation of local observables to obtain one of the explicit solutions to the problem, if any.
Revised:  Furthermore, we show that for a 3SAT instance with n bits, it is enough to perform n further contractions of the tensor network structure associated to the computation of local observables to obtain one of the explicit solutions to the problem, if any.
Edit intent: fluency
Original:  Physical realization of a state described by a generic tensor network is equivalent to finding the satisfying assignment of a 3SAT instance and, consequently, this experimental task is expected to be very hard.
Revised:  Physical realization of a state described by a generic tensor network is equivalent to finding the satisfying assignment of a 3SAT instance and, consequently, this experimental task is expected to be hard.
Edit intent: clarity
Original:  In the present work on the example of exceptional families of viruses we : i) show the existence of a completely new type of organization, resulting in a chiral pentagonal quasicrystalline order of protein positions in a capsid with spherical topology and dodecahedral geometry ;
Revised:  In the present work on the example of exceptional families of viruses we i) show the existence of a completely new type of organization, resulting in a chiral pentagonal quasicrystalline order of protein positions in a capsid with spherical topology and dodecahedral geometry ;
Edit intent: fluency
Original:  In the present work on the example of exceptional families of viruses we : i) show the existence of a completely new type of organization, resulting in a chiral pentagonal quasicrystalline order of protein positions in a capsid with spherical topology and dodecahedral geometry ;
Revised:  In the present work on the example of exceptional families of viruses we : i) show the existence of a completely new type of organization, resulting in a chiral pentagonal quasicrystalline order of protein positions are arranged in a structure commensurate with the spherical topology and dodecahedral geometry ;
Edit intent: clarity
Original:  In the present work on the example of exceptional families of viruses we : i) show the existence of a completely new type of organization, resulting in a chiral pentagonal quasicrystalline order of protein positions in a capsid with spherical topology and dodecahedral geometry ;
Revised:  In the present work on the example of exceptional families of viruses we : i) show the existence of a completely new type of organization, resulting in a chiral pentagonal quasicrystalline order of protein positions in a capsid with spherical topology and dodecahedral geometry ,
Edit intent: fluency
Original:  ii) generalize the classical theory of quasicrystals ( QC ) to explain this organization and demonstrate that a particular non-linear phason strain induces chirality in QC;
Revised:  ii) generalize the classical theory of quasicrystals ( QCs ) to explain this organization and demonstrate that a particular non-linear phason strain induces chirality in QC;
Edit intent: clarity
Original:  and iii) establish the relation between chiral order and inhomogeneous buckling strain of the capsid shell .
Revised:  and iii) establish the relation between local chiral QC order and nonzero curvature of the dodecahedral capsid faces .
Edit intent: clarity
Original:  We show the analogues of the statements of Kahn, Kalai  and Linial (KKL Theorem  ) and that of Friedgut (Friedgut's Junta Theorem  ), for the setting of Cartesian products of arbitrary graphs.
Revised:  We show the analogues of results of Kahn, Kalai and Linial (KKL Theorem ) and that of Friedgut (Friedgut's Junta Theorem ), for the setting of Cartesian products of arbitrary graphs.
Edit intent: clarity
Original:  We show the analogues of the statements of Kahn, Kalai  and Linial (KKL Theorem  ) and that of Friedgut (Friedgut's Junta Theorem  ), for the setting of Cartesian products of arbitrary graphs.
Revised:  We show the analogues of the statements of Kahn, Kalai , and Linial (KKL Theorem ) and that of Friedgut (Friedgut's Junta Theorem ), for the setting of Cartesian products of arbitrary graphs.
Edit intent: fluency
Original:  We show the analogues of the statements of Kahn, Kalai  and Linial (KKL Theorem  ) and that of Friedgut (Friedgut's Junta Theorem  ), for the setting of Cartesian products of arbitrary graphs.
Revised:  We show the analogues of the statements of Kahn, Kalai and Linial (KKL Theorem ) and that of Friedgut (Friedgut's Junta theorem ), for the setting of Cartesian products of arbitrary graphs.
Edit intent: fluency
Original: Fake content represents an important portion of those files shared in BitTorrent.
Edit intent: clarity
Original:  Our results reveal that  a few tens of users are responsible for 90\% of the fake content.
Revised:  Our results reveal that a few tens of users are responsible for 90\% of this content.
Edit intent: clarity
Original:  This creates a serious thread for the BitTorrent ecosystem.
Revised:  This creates a serious threat for the BitTorrent ecosystem.
Edit intent: clarity
Original:  To address this issue, we present a new detection tool named FakeDetector that may prevent the download of almost 10 millions of fake files per year based on our evaluation .
Revised:  To address this issue, we present a new detection tool named FakeDetector that may prevent the download of almost 10 millions of fake files per year .
Edit intent: coherence
Original: It has been well established that reverse-carpooling based network coding can significantly improve the efficiency of multi-hop wireless networks.
Revised: It has been well established that wireless network coding can significantly improve the efficiency of multi-hop wireless networks.
Edit intent: clarity
Original:  However, in a stochastic environment when there are no opportunities to code because of packets without coding pairs, should these packets wait for a future opportunity or should they be transmitted without coding?
Revised:  However, in a stochastic environment some of the packets might not have coding pairs, should these packets wait for a future opportunity or should they be transmitted without coding?
Edit intent: clarity
Original:  To help answer that question we formulate a stochastic dynamic program with the objective of minimizing the long-run average cost per unit time incurred due to transmissions and delays.
Revised:  To help answer that question we formulate a stochastic dynamic program whose objective is to minimize the long-run average cost per unit time incurred due to transmissions and delays.
Edit intent: clarity
Original:  In particular, we develop optimal control actions that would balance between costs of transmission against those of delays.
Revised:  In particular, we identify optimal control actions that would balance between costs of transmission against those of delays.
Edit intent: clarity
Original:  In that process we seek to address a crucial question: what should be observed as the state of the system  We analytically show that just the queue lengths is enough if it can be modeled as a Markov process.
Revised:  In that process we seek to address a crucial question: what should be observed as the state of the system ? We analytically show that just the queue lengths is enough if it can be modeled as a Markov process.
Edit intent: fluency
Original:  In that process we seek to address a crucial question: what should be observed as the state of the system  We analytically show that just the queue lengths is enough if it can be modeled as a Markov process.
Revised:  In that process we seek to address a crucial question: what should be observed as the state of the system We analytically show that observing queue lengths suffices if the system can be modeled as a Markov process.
Edit intent: clarity
Original:  Subsequently we show that a stationary  policy based on queue lengths is optimal and describe a procedure to find such a policy .
Revised:  Subsequently we show that a stationary policy based on queue lengths is optimal .
Edit intent: clarity
Original:  We describe the computer-driven discovery and proof of the fact that the generating series G(x)= n \geq 0 a_n x^n admits the following explicit expression in terms of a Gaussian hypergeometric function: G(x) = 1 + 6 \cdot \int_0^x \frac{\,\pFq21{1/3{2/3}{2} {\frac{27 w(2-3w)}{(1-4w)^3}}}{(1-4w)(1-64w)} \, dw.}%DIFDELCMD < ]%%% \[ G(x) = 1 + 6 \cdot \int_0^x \,\pFq21{1/3{2/3}{2} {\frac{27 w(2-3w)}{(1-4w)^3}}}{(1-4w)(1-64w)} \, dw.\]
Revised:  We describe the computer-driven discovery and proof of the fact that the generating series G(x)= n \geq 0 a_n x^n admits the following explicit expression in terms of a Gaussian hypergeometric function: {2/3}{2} {\frac{27 w(2-3w)}{(1-4w)^3}}}{(1-4w)(1-64w)} \, dw.}%DIFDELCMD < ]%%% \[ G(x) = 1 + 6 \cdot \int_0^x \,\pFq21{1/3{2/3}{2} {\frac{27 w(2-3w)}{(1-4w)^3}}}{(1-4w)(1-64w)} \, dw.\]
Edit intent: coherence
Original:  We validated our approach by identifying a strong correlation between sentiments expressed online and CDC-estimated vaccination rates by region.
Revised:  We validated our approach by identifying a strong correlation between sentiments expressed online and CDC- estimated vaccination rates by region.
Edit intent: fluency
Original:  Analysis of the network of opinionated users showed that there is significantly more information flow between users who share the same sentiments than expected .
Revised:  Analysis of the network of opinionated users showed that information flows more often between users who share the same sentiments than expected .
Edit intent: clarity
Original: The Macaulay2 package PHCpack.m2 provides an interface to some of the functionality of PHCpack, a general-purpose solver for polynomial systems by homotopy continuation.
Revised: The Macaulay2 package PHCpack.m2 provides an interface to PHCpack, a general-purpose solver for polynomial systems by homotopy continuation.
Edit intent: clarity
Original: The Macaulay2 package PHCpack.m2 provides an interface to some of the functionality of PHCpack, a general-purpose solver for polynomial systems by homotopy continuation.
Revised: The Macaulay2 package PHCpack.m2 provides an interface to some of the functionality of PHCpack, a general-purpose polynomial system solver that uses homotopy continuation.
Edit intent: clarity
Original:  While several properties of osteoclastic bone resorption in cortical Bone Multicellular Units ( BMU ) have been assessed experimentally , the precise spatio-temporal dynamics, movement pattern, apoptotic state (single nuclei vs. whole cell) of the osteoclasts remain to be eludicated.
Revised:  While several properties of osteoclastic bone resorption in cortical Bone Multicellular Units ( BMUs ) have been assessed experimentally , the precise spatio-temporal dynamics, movement pattern, apoptotic state (single nuclei vs. whole cell) of the osteoclasts remain to be eludicated.
Edit intent: fluency
Original:  While several properties of osteoclastic bone resorption in cortical Bone Multicellular Units ( BMU ) have been assessed experimentally , the precise spatio-temporal dynamics, movement pattern, apoptotic state (single nuclei vs. whole cell) of the osteoclasts remain to be eludicated.
Revised:  While several properties of osteoclastic bone resorption in cortical Bone Multicellular Units ( BMU ) have been experimentally estimated , the precise spatio-temporal dynamics, movement pattern, apoptotic state (single nuclei vs. whole cell) of the osteoclasts remain to be eludicated.
Edit intent: clarity
Original:  While several properties of osteoclastic bone resorption in cortical Bone Multicellular Units ( BMU ) have been assessed experimentally , the precise spatio-temporal dynamics, movement pattern, apoptotic state (single nuclei vs. whole cell) of the osteoclasts remain to be eludicated.
Revised:  While several properties of osteoclastic bone resorption in cortical Bone Multicellular Units ( BMU ) have been assessed experimentally , the precise spatio-temporal dynamics, movement pattern, apoptosis mechanism (single nuclei vs. whole cell) of the osteoclasts remain to be eludicated.
Edit intent: clarity
Original:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including shape, size, and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts, as well as their spatial distribution in the BMU. In particular, our numerical simulation results indicate that the growth of a blood vessel and the continual renewal of the osteoclasts'
Revised:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including shape, size, and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts, as well as their spatial distribution in the BMU. In particular, our numerical simulation results suggest that the growth of a blood vessel and the continual renewal of the osteoclasts'
Edit intent: fluency
Original:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including shape, size, and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts, as well as their spatial distribution in the BMU. In particular, our numerical simulation results indicate that the growth of a blood vessel and the continual renewal of the osteoclasts'
Revised:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including shape, size, and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts, as well as their spatial distribution in the BMU. In particular, our numerical simulation results indicate that the growth of a blood vessel and the replenishment of the osteoclasts'
Edit intent: clarity
Original:  nuclei are fundamental physiological features that greatly influence functional resorption by cortical BMUs , whose disruption may certainly compromise balanced bone renewal .
Revised:  nuclei are physiological features that greatly influence functional resorption by cortical BMUs , whose disruption may certainly compromise balanced bone renewal .
Edit intent: clarity
Original:  nuclei are fundamental physiological features that greatly influence functional resorption by cortical BMUs , whose disruption may certainly compromise balanced bone renewal .
Revised:  nuclei are fundamental physiological features that strongly influence functional resorption by cortical BMUs , whose disruption may certainly compromise balanced bone renewal .
Edit intent: clarity
Original:  nuclei are fundamental physiological features that greatly influence functional resorption by cortical BMUs , whose disruption may certainly compromise balanced bone renewal .
Revised:  nuclei are fundamental physiological features that greatly influence functional resorption by cortical BMUs .
Edit intent: clarity
Original:  In this paper , we develop a lattice-based computational model focused on bone resorption in cortical BMUs to investigate the effects of these microscopic behaviours of the osteoclasts on the resorption cavity .
Revised:  In this paper we develop a lattice-based computational model focused on bone resorption in cortical BMUs to investigate the effects of these microscopic behaviours of the osteoclasts on the resorption cavity .
Edit intent: fluency
Original:  In this paper , we develop a lattice-based computational model focused on bone resorption in cortical BMUs to investigate the effects of these microscopic behaviours of the osteoclasts on the resorption cavity .
Revised:  In this paper , we develop a lattice-based computational model focused on bone resorption by osteoclasts in a single cortical basic multicellular unit (BMU) .
Edit intent: clarity
Original:  Our model takes into account the interaction of osteoclasts with the bone matrix, the interaction of osteoclasts with each other, the production of osteoclasts from the tip of a growing blood vessel, and the renewal of osteoclasts' nuclei by cell fusion.
Revised:  Our model takes into account the interaction of osteoclasts with the bone matrix, the interaction of osteoclasts with each other, the generation of osteoclasts from the tip of a growing blood vessel, and the renewal of osteoclasts' nuclei by cell fusion.
Edit intent: clarity
Original:  Our model takes into account the interaction of osteoclasts with the bone matrix, the interaction of osteoclasts with each other, the production of osteoclasts from the tip of a growing blood vessel, and the renewal of osteoclasts' nuclei by cell fusion.
Revised:  Our model takes into account the interaction of osteoclasts with the bone matrix, the interaction of osteoclasts with each other, the production of osteoclasts from a growing blood vessel, and the renewal of osteoclasts' nuclei by cell fusion.
Edit intent: clarity
Original:  Our model takes into account the interaction of osteoclasts with the bone matrix, the interaction of osteoclasts with each other, the production of osteoclasts from the tip of a growing blood vessel, and the renewal of osteoclasts' nuclei by cell fusion.
Revised:  Our model takes into account the interaction of osteoclasts with the bone matrix, the interaction of osteoclasts with each other, the production of osteoclasts from the tip of a growing blood vessel, and the renewal of osteoclast nuclei by cell fusion.
Edit intent: clarity
Original:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including shape, size, and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts , as well as their spatial distribution in the BMU. In particular, our numerical simulation results suggest that the growth of a blood vessel and the replenishment of the osteoclasts'
Revised:  All these features are shown to strongly influence the geometrical properties of the developing resorption cavity including shape, size, and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts , as well as their spatial distribution in the BMU. In particular, our numerical simulation results suggest that the growth of a blood vessel and the replenishment of the osteoclasts'
Edit intent: fluency
Original:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including shape, size, and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts , as well as their spatial distribution in the BMU. In particular, our numerical simulation results suggest that the growth of a blood vessel and the replenishment of the osteoclasts'
Revised:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including its size, shape and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts , as well as their spatial distribution in the BMU. In particular, our numerical simulation results suggest that the growth of a blood vessel and the replenishment of the osteoclasts'
Edit intent: clarity
Original:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including shape, size, and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts , as well as their spatial distribution in the BMU. In particular, our numerical simulation results suggest that the growth of a blood vessel and the replenishment of the osteoclasts'
Revised:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including shape, size, and progression rate, and are also shown to influence the distribution, resorption pattern and trajectories of individual osteoclasts , as well as their spatial distribution in the BMU. In particular, our numerical simulation results suggest that the growth of a blood vessel and the replenishment of the osteoclasts'
Edit intent: clarity
Original:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including shape, size, and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts , as well as their spatial distribution in the BMU. In particular, our numerical simulation results suggest that the growth of a blood vessel and the replenishment of the osteoclasts'
Revised:  All these features are shown to strongly affect the geometrical properties of the developing resorption cavity including shape, size, and progression rate, but also the resorption pattern, lifespan and average resorption rate of individual osteoclasts within the BMU. In particular, our numerical simulation results suggest that the growth of a blood vessel and the replenishment of the osteoclasts'
Edit intent: clarity