wanyu/IteraTeR_full_sent huggingface dataset:
Original:  While stochastic simulations are a practical way to realise the CME, analytical approximations offer more insights into the influence of noise on cell function. Towards this end, the recently developed two-moment approximation (2MA) is a promising approach, accounting for the coupling between the means and ( co)variances.
Revised:  While stochastic simulations are a practical way to realise the CME, analytical approximations offer more insights into the influence of noise . Towards that end, the recently developed two-moment approximation (2MA) is a promising approach, accounting for the coupling between the means and ( co)variances.
Edit intent: clarity
Original:  Towards this end, the recently developed two-moment approximation (2MA) is a promising approach, accounting for the coupling between the means and ( co)variances.
Revised:  Towards this end, the recently developed two-moment approximation (2MA) is a promising addition to the established analytical approaches including the chemical Langevin equation (CLE) and the related linear noise approximation (LNA). The 2MA approach directly tracks the mean and ( co)variances.
Edit intent: meaning-changed
Original:  Towards this end, the recently developed two-moment approximation (2MA) is a promising approach, accounting for the coupling between the means and ( co)variances. It is this influence of ( co)variance on the mean behaviour, which cannot be represented by conventional ODE models.
Revised:  Towards this end, the recently developed two-moment approximation (2MA) is a promising approach, accounting for the coupling between the means and ( co)variance on the mean behaviour, which cannot be represented by conventional ODE models.
Edit intent: clarity
Original:  We extend the derivation of the 2MA by establishing two advances to previous efforts: a) relative concentrations and b) non-elementary reactions. Both aspects are important in systems biology where one is often forced to aggregate elementary reactions into single stepreactions, and some models use relative concentrations (as a ratio of two concentrations or copy numbers).
Revised:  We extend the derivation of the 2MA by establishing two advances to previous efforts: a) relative concentrations and b) relative concentrations. Often, several elementary reactions are approximated by a single step. Furthermore, practical situations often require the use relative concentrations (as a ratio of two concentrations or copy numbers).
Edit intent: clarity
Original:  Both aspects are important in systems biology where one is often forced to aggregate elementary reactions into single stepreactions, and some models use relative concentrations (as a ratio of two concentrations or copy numbers). Previous derivations assume elementary reactions and rely on concentrations defined as copy numbers per unit volume. We demonstrate this 2MA approach with an application to the well established fission yeast cell cycle model.
Revised:  Both aspects are important in systems biology where one is often forced to aggregate elementary reactions into single stepreactions, and some models use relative concentrations . We investigate the applicability of the 2MA approach with an application to the well established fission yeast cell cycle model.
Edit intent: clarity
Original: A continuum model has been posited for the global analysis of data pertaining to the semantic network of a complex operating system ( free and open-source software ) . While the frequency distributions of links in both the in-directed and out-directed dependency networks of this system follow Zipf's law for the intermediate nodes,
Revised: A continuum model has been proposed to fit the data pertaining to the semantic network of a complex operating system ( free and open-source software ) . While the frequency distributions of links in both the in-directed and out-directed dependency networks of this system follow Zipf's law for the intermediate nodes,
Edit intent: clarity
Original: A continuum model has been posited for the global analysis of data pertaining to the semantic network of a complex operating system ( free and open-source software ) . While the frequency distributions of links in both the in-directed and out-directed dependency networks of this system follow Zipf's law for the intermediate nodes,
Revised: A continuum model has been posited for the global analysis of data pertaining to the directed networks in free and open-source software ) . While the frequency distributions of links in both the in-directed and out-directed dependency networks of this system follow Zipf's law for the intermediate nodes,
Edit intent: clarity
Original: A continuum model has been posited for the global analysis of data pertaining to the semantic network of a complex operating system ( free and open-source software ) . While the frequency distributions of links in both the in-directed and out-directed dependency networks of this system follow Zipf's law for the intermediate nodes,
Revised: A continuum model has been posited for the global analysis of data pertaining to the semantic network of a complex operating system ( free and open-source software . While the frequency distributions of links in both the in-directed and out-directed dependency networks of this system follow Zipf's law for the intermediate nodes,
Edit intent: fluency
Original: A continuum model has been posited for the global analysis of data pertaining to the semantic network of a complex operating system ( free and open-source software ) . While the frequency distributions of links in both the in-directed and out-directed dependency networks of this system follow Zipf's law for the intermediate nodes,
Revised: A continuum model has been posited for the global analysis of data pertaining to the semantic network of a complex operating system ( free and open-source software ) . While the degree distributions of links in both the in-directed and out-directed dependency networks of this system follow Zipf's law for the intermediate nodes,
Edit intent: clarity
Original: A continuum model has been posited for the global analysis of data pertaining to the semantic network of a complex operating system ( free and open-source software ) . While the frequency distributions of links in both the in-directed and out-directed dependency networks of this system follow Zipf's law for the intermediate nodes,
Revised: A continuum model has been posited for the global analysis of data pertaining to the semantic network of a complex operating system ( free and open-source software ) . While the frequency distributions of links in both the in-directed and out-directed dependency networks follow Zipf's law for the intermediate nodes,
Edit intent: clarity
Original:  the richest nodes, as well as the weakest nodes, deviate from this trend , and exhibit a saturation behaviour arising from the finiteness of semantic possibilities in the network. To preserve uniqueness of operations in the network, the nodes obey an "exclusion principle", with no two nodes being exactly alike in their functionality. The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Revised:  the richest nodes, as well as the weakest nodes, deviate from this trend and exhibit finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Edit intent: clarity
Original:  The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Revised:  The parameters related to finite-size effects. The finite-size parameters make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Edit intent: clarity
Original:  The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Revised:  The parameters related to finite-size behaviour make a quantitative distinction between the in-directed and out-directed networks . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Edit intent: clarity
Original:  The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Revised:  The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Edit intent: clarity
Original:  The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Revised:  The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Edit intent: fluency
Original:  The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Revised:  The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the finite-size properties of the in-directed and out-directed networks are oppositely affected .
Edit intent: fluency
Original:  The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are oppositely affected .
Revised:  The parameters related to finite-size behaviour make a quantitative distinction between the two directed networks of incoming and outgoing links . Dynamic evolution , over two generations of free software releases , shows that the saturation properties of the in-directed and out-directed networks are opposite in nature .
Edit intent: clarity
Original:  For the out-degree distribution, whose top nodes form the foundation of the entire network, the initial condition for a dynamic model, evolving towards a steady scale-free frequency distribution of nodes, determines the finite limit to the number of top nodes that the mature out-directed network can have  .
Revised:  For the out-degree distribution, the initial condition for a dynamic model, evolving towards a steady scale-free frequency distribution of nodes, determines the finite limit to the number of top nodes that the mature out-directed network can have .
Edit intent: clarity
Original:  For the out-degree distribution, whose top nodes form the foundation of the entire network, the initial condition for a dynamic model, evolving towards a steady scale-free frequency distribution of nodes, determines the finite limit to the number of top nodes that the mature out-directed network can have  .
Revised:  For the out-degree distribution, whose top nodes form the foundation of the entire network, the initial condition for a dynamic evolution also corresponds to the limiting count of rich nodes that the mature out-directed network can have .
Edit intent: clarity
Original:  For the out-degree distribution, whose top nodes form the foundation of the entire network, the initial condition for a dynamic model, evolving towards a steady scale-free frequency distribution of nodes, determines the finite limit to the number of top nodes that the mature out-directed network can have  .
Revised:  For the out-degree distribution, whose top nodes form the foundation of the entire network, the initial condition for a dynamic model, evolving towards a steady scale-free frequency distribution of nodes, determines the finite limit to the number of top nodes that the mature out-directed network can have . The number of nodes contributing out-directed links grows with each passing generation of software release, but this growth ultimately saturates towards a finite value due to the finiteness of semantic possibilities in the network .
Edit intent: meaning-changed
Original:  In particular, we construct Azema-Yor martingales with a given terminal law and this allows us to rediscover the Azema-Yor solution to the Skorokhod embedding problem.
Revised:  In particular, we construct Az\'ema-Yor martingales with a given terminal law and this allows us to rediscover the Azema-Yor solution to the Skorokhod embedding problem.
Edit intent: fluency
Original:  In particular, we construct Azema-Yor martingales with a given terminal law and this allows us to rediscover the Azema-Yor solution to the Skorokhod embedding problem.
Revised:  In particular, we construct Azema-Yor martingales with a given terminal law and this allows us to rediscover the Az\'ema-Yor solution to the Skorokhod embedding problem.
Edit intent: fluency
Original:  Finally, we characterise Azema-Yor martingales showing they are optimal relative to the concave ordering of terminal variables among martingales whose maximum dominates stochastically a given benchmark.
Revised:  Finally, we characterize Az\'ema-Yor martingales showing they are optimal relative to the concave ordering of terminal variables among martingales whose maximum dominates stochastically a given benchmark.
Edit intent: fluency
Original: In this paper we revisit the problem of pricing and hedging plain vanilla single currency interest rate derivatives using different yield curves for market coherent estimation of discount factors and forward rates with different underlying rate tenors (e. g. Euribor 3 months, 6 months,.etc.).
Revised: We revisit the problem of pricing and hedging plain vanilla single currency interest rate derivatives using different yield curves for market coherent estimation of discount factors and forward rates with different underlying rate tenors (e. g. Euribor 3 months, 6 months,.etc.).
Edit intent: clarity
Original: In this paper we revisit the problem of pricing and hedging plain vanilla single currency interest rate derivatives using different yield curves for market coherent estimation of discount factors and forward rates with different underlying rate tenors (e. g. Euribor 3 months, 6 months,.etc.).
Revised: In this paper we revisit the problem of pricing and hedging plain vanilla single-currency interest rate derivatives using different yield curves for market coherent estimation of discount factors and forward rates with different underlying rate tenors (e. g. Euribor 3 months, 6 months,.etc.).
Edit intent: fluency
Original: In this paper we revisit the problem of pricing and hedging plain vanilla single currency interest rate derivatives using different yield curves for market coherent estimation of discount factors and forward rates with different underlying rate tenors (e. g. Euribor 3 months, 6 months,.etc.).
Revised: In this paper we revisit the problem of pricing and hedging plain vanilla single currency interest rate derivatives using multiple distinct yield curves for market coherent estimation of discount factors and forward rates with different underlying rate tenors (e. g. Euribor 3 months, 6 months,.etc.).
Edit intent: meaning-changed
Original: In this paper we revisit the problem of pricing and hedging plain vanilla single currency interest rate derivatives using different yield curves for market coherent estimation of discount factors and forward rates with different underlying rate tenors (e. g. Euribor 3 months, 6 months,.etc.).
Revised: In this paper we revisit the problem of pricing and hedging plain vanilla single currency interest rate derivatives using different yield curves for market coherent estimation of discount factors and forward rates with different underlying rate tenors .
Edit intent: coherence
Original:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid  and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting basis adjustment curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Revised:  Within such double-curve-single-currency framework, adopted by the market after the credit-crunch crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting basis adjustment curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Edit intent: clarity
Original:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid  and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting basis adjustment curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Revised:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no-arbitrage relations are no longer valid and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting basis adjustment curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Edit intent: fluency
Original:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid  and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting basis adjustment curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Revised:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid , and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting basis adjustment curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Edit intent: fluency
Original:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid  and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting basis adjustment curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Revised:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid and can be recovered by taking properly into account the forward basis bootstrapped from market basis swaps . Numerical results show that the resulting basis adjustment curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Edit intent: meaning-changed
Original:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid  and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting basis adjustment curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Revised:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting forward basis curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Edit intent: clarity
Original:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid  and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting basis adjustment curves may display an oscillating micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Revised:  Within such double-curve-single-currency framework, adopted by the market after the liquidity crisis started in summer 2007, standard single-curve no arbitrage relations are no longer valid and can be formally recovered through the introduction of a basis adjustment . Numerical results show that the resulting basis adjustment curves may display a richer micro-term structure that may induce appreciable effects on the price of interest rate instruments.
Edit intent: clarity
Original:  Recurring to the foreign-currency analogy we also derive no arbitrage, double-curve market-like formulas for basic plain vanilla interest rate derivatives, FRAs, swaps, caps/floors and swaptions in particular.
Revised:  By recurring to the foreign-currency analogy we also derive no arbitrage, double-curve market-like formulas for basic plain vanilla interest rate derivatives, FRAs, swaps, caps/floors and swaptions in particular.
Edit intent: fluency