wanyu/IteraTeR_v2 huggingface dataset:
Original: Many real networks show a layered structure where links on each layer exhibit the function of nodes on different environments.
Revised: Many real networks show a layered structure in which links in each layer reflect the function of nodes on different environments.
Edit intent: clarity
Original:  These multiple types of links are usually represented by multiplex networks which allow to consider a different topology for each layer.
Revised:  These multiple types of links are usually represented by a multiplex network in which each layer has a different topology for each layer.
Edit intent: clarity
Original:  In this work , we use a generalized multiplex networks considering that only a fraction q of the nodes are shared by the layers enabling to generate a more realistic scenario .
Revised:  In this work , we use a generalized multiplex network and assume that only a fraction q of the nodes are shared by the layers enabling to generate a more realistic scenario .
Edit intent: coherence
Original:  In this work , we use a generalized multiplex networks considering that only a fraction q of the nodes are shared by the layers enabling to generate a more realistic scenario .
Revised:  In this work , we use a generalized multiplex networks considering that only a fraction q of the nodes are shared by the layers .
Edit intent: clarity
Original:  We develop a theoretical framework for a branching process describing an epidemic spreading on these partially overlapped multiplex networks , that allowed us to obtain the fraction of infected individuals as a function of the effective probability to transmit the disease T. Moreover, we find theoretically the dependence of the epidemic threshold on the fraction q > 0 of shared nodes for a system composed by two layers.
Revised:  We develop a theoretical framework for a branching process to describe the spread of an epidemic on these partially overlapped multiplex networks , that allowed us to obtain the fraction of infected individuals as a function of the effective probability to transmit the disease T. Moreover, we find theoretically the dependence of the epidemic threshold on the fraction q > 0 of shared nodes for a system composed by two layers.
Edit intent: clarity
Original:  We develop a theoretical framework for a branching process describing an epidemic spreading on these partially overlapped multiplex networks , that allowed us to obtain the fraction of infected individuals as a function of the effective probability to transmit the disease T. Moreover, we find theoretically the dependence of the epidemic threshold on the fraction q > 0 of shared nodes for a system composed by two layers.
Revised:  We develop a theoretical framework for a branching process describing an epidemic spreading on these partially overlapped multiplex networks . This allows us to obtain the fraction of infected individuals as a function of the effective probability to transmit the disease T. Moreover, we find theoretically the dependence of the epidemic threshold on the fraction q > 0 of shared nodes for a system composed by two layers.
Edit intent: coherence
Original:  We develop a theoretical framework for a branching process describing an epidemic spreading on these partially overlapped multiplex networks , that allowed us to obtain the fraction of infected individuals as a function of the effective probability to transmit the disease T. Moreover, we find theoretically the dependence of the epidemic threshold on the fraction q > 0 of shared nodes for a system composed by two layers.
Revised:  We develop a theoretical framework for a branching process describing an epidemic spreading on these partially overlapped multiplex networks , that allowed us to obtain the fraction of infected individuals as a function of the effective probability that the disease will be transmitted T. We also theoretically determine the dependence of the epidemic threshold on the fraction q > 0 of shared nodes for a system composed by two layers.
Edit intent: clarity
Original:  We develop a theoretical framework for a branching process describing an epidemic spreading on these partially overlapped multiplex networks , that allowed us to obtain the fraction of infected individuals as a function of the effective probability to transmit the disease T. Moreover, we find theoretically the dependence of the epidemic threshold on the fraction q > 0 of shared nodes for a system composed by two layers.
Revised:  We develop a theoretical framework for a branching process describing an epidemic spreading on these partially overlapped multiplex networks , that allowed us to obtain the fraction of infected individuals as a function of the effective probability to transmit the disease T. Moreover, we find theoretically the dependence of the epidemic threshold on the fraction q > 0 of shared nodes in a system composed by two layers.
Edit intent: clarity
Original:  We develop a theoretical framework for a branching process describing an epidemic spreading on these partially overlapped multiplex networks , that allowed us to obtain the fraction of infected individuals as a function of the effective probability to transmit the disease T. Moreover, we find theoretically the dependence of the epidemic threshold on the fraction q > 0 of shared nodes for a system composed by two layers.
Revised:  We develop a theoretical framework for a branching process describing an epidemic spreading on these partially overlapped multiplex networks , that allowed us to obtain the fraction of infected individuals as a function of the effective probability to transmit the disease T. Moreover, we find theoretically the dependence of the epidemic threshold on the fraction q > 0 of shared nodes for a system composed of two layers.
Edit intent: fluency
Original:  We find that , in the limit of q \to 0 , the threshold is dominated by the layer with the smaller isolated threshold.
Revised:  We find that in the limit of q \to 0 , the threshold is dominated by the layer with the smaller isolated threshold.
Edit intent: fluency
Original:  We find that , in the limit of q \to 0 , the threshold is dominated by the layer with the smaller isolated threshold.
Revised:  We find that , in the limit of q \to 0 the threshold is dominated by the layer with the smaller isolated threshold.
Edit intent: fluency
Original:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes,  the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Revised:  Although a system of two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes, the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Edit intent: coherence
Original:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes,  the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Revised:  This means that even though a system formed by two completely isolated networks is nearly indistinguishable from a system formed by two networks that share just a few nodes, the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Edit intent: clarity
Original:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes,  the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Revised:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system of two networks that share just a few nodes, the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Edit intent: fluency
Original:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes,  the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Revised:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes, we find that the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Edit intent: clarity
Original:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes,  the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Revised:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes, the presence of these few shared nodes causes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Edit intent: clarity
Original:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes,  the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Revised:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes, the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously and to acquire the threshold of the other network 
Edit intent: clarity
Original:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes,  the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network 
Revised:  This means that even though a system formed by two completely isolated networks is practically indistinguishable from a system formed by two networks that share just a few nodes, the presence of these few shared nodes makes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously acquiring the threshold of the other network .
Edit intent: fluency
Original:  For the first time, a minimal model is developed, which resolves a structural instability inherent in this HH extension.
Edit intent: coherence
Original:  We reveal the basic mechanism of a state of free energy-starvation (FES) with bifurcation analyses showing that ion dynamics are bistable for a large range of pump rates  .
Revised:  We reveal the basic mechanism of a state of free energy-starvation (FES) with bifurcation analyses showing that ion dynamics is for a large range of pump rates .
Edit intent: clarity
Original:  This is interpreted as a threshold reduction of a new fundamental mechanism of ionic excitability that causes a long-lasting but transient FES as observed in pathological states.
Revised:  This is interpreted as a threshold reduction of a new fundamental mechanism of 'ionic excitability' that causes a long-lasting but transient FES as observed in pathological states.
Edit intent: fluency
Original:  Here I show how Darwinian evolution can evolve two phenomena that are absent from the nonliving worldbut appear to be present in all current life-forms : intrinsic meaning and the ability to initiate goal-directed chains of causation.
Revised:  Here I show how Darwinian evolution can evolve two phenomena that are absent from the non-living world : intrinsic meaning and the ability to initiate goal-directed chains of causation.
Edit intent: clarity
Original:  The basic scheme of Darwinian evolution produces adaptations that only appear to represent goals and meaning.
Revised:  The basic scheme of Darwinian evolution produces adaptations that only represent apparent ('as if') goals and meaning.
Edit intent: clarity
Original: Purpose and meaning are necessary concepts when studying mind and culture, but  absent from the  framework of the natural sciences.
Revised: Purpose and meaning are necessary concepts for understanding mind and culture, but absent from the framework of the natural sciences.
Edit intent: clarity
Original: Purpose and meaning are necessary concepts when studying mind and culture, but  absent from the  framework of the natural sciences.
Revised: Purpose and meaning are necessary concepts when studying mind and culture, but appear to be absent from the framework of the natural sciences.
Edit intent: coherence
Original:  The basic scheme of Darwinian evolution produces adaptations that only represent apparent ( 'as if' ) goals and meaning.
Revised:  The basic scheme of Darwinian evolution produces adaptations that only represent apparent ( "as if" ) goals and meaning.
Edit intent: fluency
Original:  To start, through derivations, a system %DIFDELCMD < {\rm %DIFDELCMD < %%% ps (P) of L polynomials in L-1 algebraic variables is obtained, which is non sparse in the order of derivation.
Revised:  To start, through derivations, a system %DIFDELCMD < {\rm %DIFDELCMD < %%% ps (P) of L polynomials in L-1 algebraic variables is obtained, which is non sparse in the order of derivation.
Edit intent: fluency
Original:  This enables the use of existing formulas for the computation of algebraic resultants  of the multivariate sparse algebraic polynomials in %DIFDELCMD < {\rm %%% ps (P)  . The formulas obtained  provide order and degree bounds for a polynomial in the differential elimination ideal .
Revised:  This enables the use of existing formulas for the computation of algebraic resultants , of the multivariate sparse algebraic polynomials in %DIFDELCMD < {\rm %%% ps (P) . The formulas obtained provide order and degree bounds for a polynomial in the differential elimination ideal .
Edit intent: fluency
Original:  This enables the use of existing formulas for the computation of algebraic resultants  of the multivariate sparse algebraic polynomials in %DIFDELCMD < {\rm %%% ps (P)  . The formulas obtained  provide order and degree bounds for a polynomial in the differential elimination ideal .
Revised:  This enables the use of existing formulas for the computation of algebraic resultants of the multivariate sparse algebraic polynomials in %DIFDELCMD < {\rm %%% ps (P) . The formulas obtained provide order and degree bounds for a polynomial in the differential elimination ideal .
Edit intent: fluency
Original:  In this review we follow the emerging characteristics of the different observed mechanisms.
Revised:  In this review we follow the emerging characteristics of these different mechanisms.
Edit intent: clarity
Original:  We review the available models for these effects , and comment on the need for new models that would be able to explain the full range of observed depletion forces.
Revised:  We review the available models for these thermodynamic mechanisms , and comment on the need for new models that would be able to explain the full range of observed depletion forces.
Edit intent: clarity
Original:  In this context, extrinsic randomness is related to noisy measurements, which are used for the estimation of the transition probability matrix.
Revised:  In this context, randomness in measurement is related to noisy measurements, which are used for the estimation of the transition probability matrix.
Edit intent: clarity
Original:  On the other hand the problem turns out to be fixed parameter-tractable with respect to the combined parameter "pathwidth" and "maximum degree" of the input graph.
Revised:  We then show that the problem turns out to be fixed parameter-tractable with respect to the combined parameter "pathwidth" and "maximum degree" of the input graph.
Edit intent: coherence
Original:  Microscopic modelling can help to quantify the relationship between individual motors plus filaments to the large-wavelength properties represented by "hydrodynamic" models .
Revised:  Microscopic modelling can help to quantify the relationship between individual motors plus filaments to organisation and dynamics on molecular and supra-molecular length scales .
Edit intent: clarity
Original:  Reducing motor binding produces super-diffusive mass transport, where filament translocation scales with lag time with non-unique exponents that depend on motor kinetics.
Revised:  Loosely bound aggregates exhibit super-diffusive mass transport, where filament translocation scales with lag time with non-unique exponents that depend on motor kinetics.
Edit intent: clarity
Original:  We show that the collection of such responses -a response surface- can be used for control.
Revised:  We show how the collection of such responses -a response surface- can be used for control.
Edit intent: fluency
Original:  We show that the collection of such responses -a response surface- can be used for control.
Revised:  We show that the collection of such responses (a response surface) can be used for control.
Edit intent: fluency
Original:  Analysis of model systems shows that response surfaces are smooth and  can be approximated using data on a small set of perturbations.
Revised:  Analysis of model systems show that response surfaces are smooth and can be approximated using data on a small set of perturbations.
Edit intent: fluency
Original:  Analysis of model systems shows that response surfaces are smooth and  can be approximated using data on a small set of perturbations.
Revised:  Analysis of model systems shows that response surfaces are smooth and hence can be approximated using data on a small set of perturbations.
Edit intent: coherence
Original:  The methodology, here validated on nonlinear electrical circuits , can prove useful in many contexts including in reprogramming cellular states and in the design of therapies for genetic diseases .
Revised:  The methodology, here validated on nonlinear electrical circuits , can prove useful in many contexts including in reprogramming cellular states .
Edit intent: clarity
Original:  Coupled with wide-spread replication of popular content at multiple locations, this provides a substantial path diversity in the network.
Revised:  Coupled with wide-spread replication of popular content at multiple locations, this provides substantial path diversity in the network.
Edit intent: fluency
Original:  In this paper, we propose Multi-Source Multipath HTTP, mHTTP, which takes advantage of all existing types of path diversity in the Internet. mHTTP needs only client-side but no server-side or network modifications as it is a receiver-oriented mechanism.
Revised:  In this paper, we propose Multi-Source Multipath HTTP, mHTTP, which takes advantage of all existing types of path diversity in the Internet. mHTTP needs only client-side but not server-side or network modifications as it is a receiver-oriented mechanism.
Edit intent: fluency
Original:  Moreover, the modifications are restricted to the socket interfaces .
Revised:  Moreover, the modifications are restricted to the socket interface .
Edit intent: fluency
Original:  Thus, no changes  to the applications are necessary.
Revised:  Thus, no changes are needed to the applications are necessary.
Edit intent: clarity
Original:  However, as mHTTP relies on HTTP range requests  it is specific to HTTP which accounts for more than 60\% of today's Internet traffic.
Revised:  However, as mHTTP relies on HTTP range requests , it is specific to HTTP which accounts for more than 60\% of today's Internet traffic.
Edit intent: fluency
Original:  However, as mHTTP relies on HTTP range requests  it is specific to HTTP which accounts for more than 60\% of today's Internet traffic.
Revised:  However, as mHTTP relies on HTTP range requests it is specific to HTTP which accounts for more than 60\% of the Internet traffic.
Edit intent: clarity
Original: In this paper, we study the effect of the full-duplex capability of a relay in a multi-user network.
Revised: In this paper, we study the effect of a full-duplex capability of a relay in a multi-user network.
Edit intent: fluency
Original: In this paper, we study the effect of the full-duplex capability of a relay in a multi-user network.
Revised: In this paper, we study the effect of the full-duplex cooperative relay in a multi-user network.
Edit intent: clarity
Original: In this paper, we study the effect of the full-duplex capability of a relay in a multi-user network.
Revised: In this paper, we study the effect of the full-duplex capability of a relay in a multiuser network.
Edit intent: clarity
Original:  The relay does not have packets of its own , and the traffic at the source nodes is considered saturated.
Revised:  The relay does not have packets of its own and the traffic at the source nodes is considered saturated.
Edit intent: fluency
Original:  The relay node stores a source packet that it receives successfully in its queue when the transmission to the destination node has failed.
Revised:  The cooperative relay stores a source packet that it receives successfully in its queue when the transmission to the destination node has failed.
Edit intent: clarity
Original:  We obtain analytical expressions for the characteristics of the relay, such as arrival and service rates, stability conditions etc. as functions of the transmission probabilities, the self interference coefficient and the outage probabilities of the links .
Revised:  We obtain analytical expressions for key performance metrics for the relay, such as arrival and service rates, stability conditions etc. as functions of the transmission probabilities, the self interference coefficient and the outage probabilities of the links .
Edit intent: clarity
Original:  We obtain analytical expressions for the characteristics of the relay, such as arrival and service rates, stability conditions etc. as functions of the transmission probabilities, the self interference coefficient and the outage probabilities of the links .
Revised:  We obtain analytical expressions for the characteristics of the relay, such as arrival and service rates, stability conditions etc. as functions of the transmission probabilities, the self interference coefficient , and the links' outage probabilities .
Edit intent: clarity
Original:  Furthermore, we study the impact of the relay node and the self interference coefficient on the throughput per user, the aggregate throughput and the average delay per packet.
Revised:  Furthermore, we study the impact of the relay node and the self interference coefficient on the per-user and aggregate throughput, and the average delay per packet.
Edit intent: clarity