wanyu/IteraTeR_v2 huggingface dataset:
Original: This paper considers some new and some previously known results from the theory of compressive sensing.
Revised: We consider two theorems from the theory of compressive sensing.
Edit intent: clarity
Original:  In particular a theorem concerning uniform recovery of random sampling matrices \gtrsim  .
Revised:  Mainly a theorem concerning uniform recovery of random sampling matrices \gtrsim .
Edit intent: coherence
Original: We present two new theoretical upper bounds on the size of  systematic codes and thus of linear codes.
Revised: We present some upper bounds on the size of systematic codes and thus of linear codes.
Edit intent: clarity
Original: We present two new theoretical upper bounds on the size of  systematic codes and thus of linear codes.
Revised: We present two new theoretical upper bounds on the size of systematic codes and linear codes.
Edit intent: coherence
Original:  These bounds are independent of other known theoretical bounds, e.g. the Griesmer or the Johnson bound  .
Revised:  These bounds are independent of other known theoretical bounds, e.g. the Griesmer bound, the Johnson bound .
Edit intent: clarity
Original:  Our experiments show that in some cases (the majority of cases for some q) our bounds provide the best value, compared to all other such bounds.
Revised:  Our experiments show that in some cases (the majority of cases for some q) our bounds provide the best value, compared to all other theoretical bounds.
Edit intent: clarity
Original:  Loss of bone is more pronounced near  the endocortex, leading to cortical wall thinning and medullary cavity expansion, a process sometimes referred to as "trabecularisation" or "cancellisation".
Revised:  Loss of bone is more pronounced near and at the endocortex, leading to cortical wall thinning and medullary cavity expansion, a process sometimes referred to as "trabecularisation" or "cancellisation".
Edit intent: clarity
Original:  Cortical wall thinning is of primary concern in osteoporosis due to the strong reduction in bone mechanical properties that it is associated with.
Revised:  Cortical wall thinning is of primary concern in osteoporosis due to the strong deterioration of bone mechanical properties that it is associated with.
Edit intent: clarity
Original:  In this paper, we examine the possibility that the nonuniformity of microscopic bone surface availability could explain the nonuniformity of bone loss in osteoporosis.
Revised:  In this paper, we examine the possibility that the non-uniformity of microscopic bone surface availability could explain the nonuniformity of bone loss in osteoporosis.
Edit intent: fluency
Original:  In this paper, we examine the possibility that the nonuniformity of microscopic bone surface availability could explain the nonuniformity of bone loss in osteoporosis.
Revised:  In this paper, we examine the possibility that the nonuniformity of microscopic bone surface availability could explain the non-uniformity of bone loss in osteoporosis.
Edit intent: fluency
Original:  We use a simple computational model of bone remodelling , in which microscopic bone surface availability influences bone turnover rate , to simulate the evolution of the bone volume fraction profile across the midshaft of a long bone.
Revised:  We use a computational model of bone remodelling , in which microscopic bone surface availability influences bone turnover rate , to simulate the evolution of the bone volume fraction profile across the midshaft of a long bone.
Edit intent: coherence
Original:  We use a simple computational model of bone remodelling , in which microscopic bone surface availability influences bone turnover rate , to simulate the evolution of the bone volume fraction profile across the midshaft of a long bone.
Revised:  We use a simple computational model of bone remodelling in which microscopic bone surface availability influences bone turnover rate , to simulate the evolution of the bone volume fraction profile across the midshaft of a long bone.
Edit intent: fluency
Original:  We use a simple computational model of bone remodelling , in which microscopic bone surface availability influences bone turnover rate , to simulate the evolution of the bone volume fraction profile across the midshaft of a long bone.
Revised:  We use a simple computational model of bone remodelling , in which microscopic bone surface availability influences bone turnover rate and simulate the evolution of the bone volume fraction profile across the midshaft of a long bone.
Edit intent: coherence
Original:  The associated expansion of the medullary cavity can be made to match experimentally observed data from cross-sectional studies in the Melbourne Femur Collection.
Revised:  The associated expansion of the medullary cavity can be made to match experimentally observed cross-sectional data from the Melbourne Femur Collection.
Edit intent: clarity
Original:  Finally, we calculate the redistribution of the  stresses in this evolving bone structure and show that mechanical load becomes critically transfered on periosteal cortical bone.
Revised:  Finally, we calculate the redistribution of the mechanical stresses in this evolving bone structure and show that mechanical load becomes critically transfered on periosteal cortical bone.
Edit intent: fluency
Original:  Finally, we calculate the redistribution of the  stresses in this evolving bone structure and show that mechanical load becomes critically transfered on periosteal cortical bone.
Revised:  Finally, we calculate the redistribution of the stresses in this evolving bone structure and show that mechanical load becomes critically transferred to the periosteal cortical bone.
Edit intent: fluency
Original:  We find that the existence of the period  mismatch induces an enhancement of entrainment in both smooth and relaxation oscillators.
Revised:  We find that the existence of the period mismatch induces better entrainment in both smooth and relaxation oscillators.
Edit intent: clarity
Original:  By calculating Floquet multipliers, we show that the enhancement mechanism is based on the coupled oscillators which are in the vicinity of  bifurcation on limit cycle  .
Revised:  By calculating Floquet multipliers, we show that the enhancement mechanism is based on the coupled oscillators which are in the vicinity of the bifurcation on limit cycle .
Edit intent: fluency
Original: Biological oscillators coordinate individual cellular components to function coherently and collectively.
Revised: Biological oscillators coordinate individual cellular components so that they function coherently and collectively.
Edit intent: fluency
Original:  They are typically composed of multiple feedback loops, and period mismatch between them is unavoidable in biological implementations.
Revised:  They are typically composed of multiple feedback loops, and period mismatch is unavoidable in biological implementations.
Edit intent: clarity
Original:  We investigated the advantageous effect of the period mismatch in terms of synchronization against external stimuli(or trainability) .
Revised:  We investigated the advantageous effect of this period mismatch in terms of synchronization against external stimuli(or trainability) .
Edit intent: fluency
Original:  We investigated the advantageous effect of the period mismatch in terms of synchronization against external stimuli(or trainability) .
Revised:  We investigated the advantageous effect of the period mismatch in terms of a synchronization response to external stimuli .
Edit intent: clarity
Original:  Specifically, we numerically analyzed two fundamental genetic models , smooth and relaxation oscillators , on their trainability for different coupling strength and period ratio by the phase reduction and the Floquet multiplier analysis .
Revised:  Specifically, we considered two fundamental models of genetic circuits: smooth- and relaxation oscillators , on their trainability for different coupling strength and period ratio by the phase reduction and the Floquet multiplier analysis .
Edit intent: clarity
Original:  We found that the period mismatch induces better entrainment in both oscillators ;
Revised:  We found that a period mismatch induces better entrainment in both oscillators ;
Edit intent: fluency
Original:  We found that the period mismatch induces better entrainment in both oscillators ;
Revised:  We found that the period mismatch induces better entrainment in both types of oscillator ;
Edit intent: clarity
Original:  the enhancement occurred in the vicinity of the bifurcation on limit cycle.
Revised:  the enhancement occurs in the vicinity of the bifurcation on limit cycle.
Edit intent: fluency
Original:  The optimal period ratio in the smooth oscillator for the enhanced trainability coincided with the experimentally observed ratio, which suggested the biological exploitation of the period mismatch.
Revised:  The optimal period ratio in the smooth oscillator , the optimal period ratio for the enhancement coincides with the experimentally observed ratio, which suggested the biological exploitation of the period mismatch.
Edit intent: clarity
Original:  The optimal period ratio in the smooth oscillator for the enhanced trainability coincided with the experimentally observed ratio, which suggested the biological exploitation of the period mismatch.
Revised:  The optimal period ratio in the smooth oscillator for the enhanced trainability coincided with the experimentally observed ratio, which suggests biological exploitation of the period mismatch.
Edit intent: fluency
Original:  Our findings show  qualitatively different perspective on the essentiality and inherent advantage of multiple loops in genetic oscillators .
Revised:  Our findings show a qualitatively different perspective on the essentiality and inherent advantage of multiple loops in genetic oscillators .
Edit intent: fluency
Original:  Our findings show  qualitatively different perspective on the essentiality and inherent advantage of multiple loops in genetic oscillators .
Revised:  Our findings show qualitatively different perspective for both the inherent advantages of multiple loops in genetic oscillators .
Edit intent: clarity
Original:  We consider  three systems.
Revised:  We consider and propose three systems.
Edit intent: clarity
Original:  The first system is the cooperative secondary transmitter-receiver system ({\rm CSTR}), where, the secondary transmitter and the secondary destination increase the spectrum availability for the secondary trasmitter packets by relaying the unsuccessfully transmitted packets of the primary transmitter.
Revised:  The first system is the cooperative secondary transmitter-receiver system ({\rm CSTR}), where, the secondary transmitter and the secondary receiver increase the spectrum availability for the secondary trasmitter packets by relaying the unsuccessfully transmitted packets of the primary transmitter.
Edit intent: clarity
Original:  The first system is the cooperative secondary transmitter-receiver system ({\rm CSTR}), where, the secondary transmitter and the secondary destination increase the spectrum availability for the secondary trasmitter packets by relaying the unsuccessfully transmitted packets of the primary transmitter.
Revised:  The first system is the cooperative secondary transmitter-receiver system ({\rm CSTR}), where, the secondary transmitter and the secondary destination increase the spectrum availability for the secondary transmitter packets by relaying the unsuccessfully transmitted packets of the primary transmitter.
Edit intent: fluency
Original:  We provide a tight inner bound (based on the construction of two dominant systems) and an outer bound on the stability of the CSTR{\rm  system.
Revised:  We provide inner and outer bounds for the{\rm system.
Edit intent: clarity
Original:  The second system is the non-cooperative secondary destination with no priority ({\rm NCNPQ}) queueing to any of the queues.
Revised:  The second system is the non-cooperative secondary receiver with no priority ({\rm NCNPQ}) queueing to any of the queues.
Edit intent: clarity
Original:  The third system is the non-cooperative secondary destination with priority queueing ({\rm NCPQ}), where, the secondary transmitter assigns priority queueing to the relaying packets.
Revised:  The third system is the non-cooperative secondary receiver with priority queueing ({\rm NCPQ}), where, the secondary transmitter assigns priority queueing to the relaying packets.
Edit intent: clarity
Original:  The first system is the cooperative secondary transmitter-receiver system (%DIFDELCMD < {\rm %%% CSTR ) , where, the secondary transmitter and the secondary receiver increase the spectrum availability for the secondary transmitter packets by relaying the unsuccessfully transmitted packets of the primary transmitter.
Revised:  The first system is the cooperative secondary transmitter-receiver %DIFDELCMD < {\rm %%% CSTR ) , where, the secondary transmitter and the secondary receiver increase the spectrum availability for the secondary transmitter packets by relaying the unsuccessfully transmitted packets of the primary transmitter.
Edit intent: clarity
Original:  The first system is the cooperative secondary transmitter-receiver system (%DIFDELCMD < {\rm %%% CSTR ) , where, the secondary transmitter and the secondary receiver increase the spectrum availability for the secondary transmitter packets by relaying the unsuccessfully transmitted packets of the primary transmitter.
Revised:  The first system is the cooperative secondary transmitter-receiver system (%DIFDELCMD < {\rm %%% ) , where, the secondary transmitter and the secondary receiver increase the spectrum availability for the secondary transmitter packets by relaying the unsuccessfully transmitted packets of the primary transmitter.
Edit intent: clarity
Original:  We provide inner and outer bounds for the%DIFDELCMD < {\rm %%% CSTR system.
Revised:  We provide inner and outer bounds for the%DIFDELCMD < {\rm %%% system.
Edit intent: clarity
Original:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Revised:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Edit intent: clarity
Original:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Revised:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ %DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Edit intent: fluency
Original:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Revised:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Edit intent: fluency
Original:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Revised:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR %DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Edit intent: coherence
Original:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Revised:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Edit intent: fluency
Original:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Revised:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ %DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Edit intent: coherence
Original:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Revised:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Edit intent: fluency
Original:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Revised:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ %DIFDELCMD < {\rm %%% CSTR system .
Edit intent: fluency
Original:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% CSTR system .
Revised:  The results reveal that the maximum stable-throughput region of the%DIFDELCMD < {\rm %%% NCPQ is a subset of the maximum stable-throughput of%DIFDELCMD < {\rm %%% CSTR and%DIFDELCMD < {\rm %%% NCNPQ . Also, the maximum stable-throughput of the%DIFDELCMD < {\rm %%% NCNPQ is a subset of the maximum stable-throughput of the%DIFDELCMD < {\rm %%% system .
Edit intent: fluency
Original:  In addition to its own buffer, the secondary transmitter (ST) has a buffer for storing a fraction of the undelivered primary packets due to channels impairments.
Revised:  In addition to its own buffer, the secondary transmitter (ST) has a buffer for storing a fraction of the undelivered primary packets due to channel impairments.
Edit intent: fluency
Original:  Moreover, the secondary receiver (SR) has a relaying queue for storing a fraction of the undelivered primary packets.
Revised:  Moreover, the secondary destination has a relaying queue for storing a fraction of the undelivered primary packets.
Edit intent: clarity
Original:  In the proposed cooperative system, the ST and the SR increase the spectrum availability for the secondary packets by relaying the unsuccessfully transmitted packets of the PT.
Revised:  In the proposed cooperative system, the ST and the secondary destination increase the spectrum availability for the secondary packets by relaying the unsuccessfully transmitted packets of the PT.
Edit intent: clarity
Original:  We consider two multiple access strategies to be used by the ST and the SR to utilize the silence sessions of the PT.
Revised:  We consider two multiple access strategies to be used by the ST and the secondary destination to utilize the silence sessions of the PT.
Edit intent: clarity
Original: Crystallography may be the gold standard of protein structure determination, but obtaining the necessary high-quality crystals is akin to prospecting for the precious mineral.
Edit intent: coherence
Original:  Here we conduct a computational study of proteins from the rubredoxin family that bridges the two fields.
Revised:  We conduct a computational study of proteins from the rubredoxin family that bridges the two fields.
Edit intent: coherence
Original:  Using atomistic simulations, we characterize the crystal contacts, and then parameterize patchy particle models.
Revised:  Using atomistic simulations, we characterize their crystal contacts, and then parameterize patchy particle models.
Edit intent: fluency
Original:  Using atomistic simulations, we characterize the crystal contacts, and then parameterize patchy particle models.
Revised:  Using atomistic simulations, we characterize the crystal contacts, and accordingly parameterize patchy particle models.
Edit intent: clarity
Original:  Comparing the phase diagrams of these  models with experimental results enables us to critically examine the assumptions behind the two approaches and to reveal key features of protein-protein interactions that facilitate their crystallization .
Revised:  Comparing the phase diagrams of these schematic models with experimental results enables us to critically examine the assumptions behind the two approaches and to reveal key features of protein-protein interactions that facilitate their crystallization .
Edit intent: fluency
Original:  Comparing the phase diagrams of these  models with experimental results enables us to critically examine the assumptions behind the two approaches and to reveal key features of protein-protein interactions that facilitate their crystallization .
Revised:  Comparing the phase diagrams of these models with experimental results enables us to critically examine the assumptions behind the two approaches . The study also reveals features of protein-protein interactions that facilitate their crystallization .
Edit intent: clarity