wanyu/IteraTeR_v2 huggingface dataset:
Original: Almost two decades of research on the use of the mathematical formalism of quantum theory as a modeling tool for entities and their dynamics in domains different from the micro-world has now firmly shown the systematic appearance of quantum structures in aspects of human behavior and thought, such as in cognitive processes of decision-making , and in the way concepts are combined into sentences.
Revised: Almost two decades of research on the use of the mathematical formalism of quantum theory as a modeling tool in domains different from the micro-world has now firmly shown the systematic appearance of quantum structures in aspects of human behavior and thought, such as in cognitive processes of decision-making , and in the way concepts are combined into sentences.
Edit intent: clarity
Original: Almost two decades of research on the use of the mathematical formalism of quantum theory as a modeling tool for entities and their dynamics in domains different from the micro-world has now firmly shown the systematic appearance of quantum structures in aspects of human behavior and thought, such as in cognitive processes of decision-making , and in the way concepts are combined into sentences.
Revised: Almost two decades of research on the use of the mathematical formalism of quantum theory as a modeling tool for entities and their dynamics in domains different from the micro-world has given rise to many successful applications in situations related to human behavior and thought, such as in cognitive processes of decision-making , and in the way concepts are combined into sentences.
Edit intent: clarity
Original: Almost two decades of research on the use of the mathematical formalism of quantum theory as a modeling tool for entities and their dynamics in domains different from the micro-world has now firmly shown the systematic appearance of quantum structures in aspects of human behavior and thought, such as in cognitive processes of decision-making , and in the way concepts are combined into sentences.
Revised: Almost two decades of research on the use of the mathematical formalism of quantum theory as a modeling tool for entities and their dynamics in domains different from the micro-world has now firmly shown the systematic appearance of quantum structures in aspects of human behavior and thought, more specifically in cognitive processes of decision-making , and in the way concepts are combined into sentences.
Edit intent: clarity
Original: Almost two decades of research on the use of the mathematical formalism of quantum theory as a modeling tool for entities and their dynamics in domains different from the micro-world has now firmly shown the systematic appearance of quantum structures in aspects of human behavior and thought, such as in cognitive processes of decision-making , and in the way concepts are combined into sentences.
Revised: Almost two decades of research on the use of the mathematical formalism of quantum theory as a modeling tool for entities and their dynamics in domains different from the micro-world has now firmly shown the systematic appearance of quantum structures in aspects of human behavior and thought, such as in cognitive processes of decision-making and the ways concepts are combined into sentences.
Edit intent: fluency
Original:  In this paper , we extend this insight to animal behavior showing that a quantum probabilistic structure models the mating competition of three side-blotched lizard morphs .
Revised:  In this article , we extend this insight to animal behavior showing that a quantum probabilistic structure models the mating competition of three side-blotched lizard morphs .
Edit intent: fluency
Original:  In this paper , we extend this insight to animal behavior showing that a quantum probabilistic structure models the mating competition of three side-blotched lizard morphs .
Revised:  In this paper , we extend this approach to animal behavior showing that a quantum probabilistic structure models the mating competition of three side-blotched lizard morphs .
Edit intent: clarity
Original: This article prove that P is not NP by using difference of bases cardinality .
Revised: This article provide new approach to solve P vs NP problem by using cardinality of bases function .
Edit intent: clarity
Original:  About NP-Complete problems, we can divide some problems to infinite disjunction of P-Complete problems.
Revised:  About NP-Complete problems, we can divide to infinite disjunction of P-Complete problems.
Edit intent: clarity
Original:   The other hand, any P-Complete problem have at most a finite number of basis of P-Complete  .
Revised:  The other hand, any P-Complete problem have at most a finite number of P-Complete .
Edit intent: clarity
Original:   The other hand, any P-Complete problem have at most a finite number of basis of P-Complete  .
Revised:  The other hand, any P-Complete problem have at most a finite number of basis of P-Complete basis .
Edit intent: clarity
Original:  More precisely, we show that the second order DRBSDEs provide solutions of what we call uncertain Dynkin games and that they also allow us to obtain super and subhedging prices for American game options (also called Israeli options) in financial markets with volatility uncertainty .
Revised:  More precisely, we show that the second order DRBSDEs provide solutions of what we call uncertain Dynkin games and that they also allow us to obtain super and subhedging prices for American game options (also called Israeli options) in financial markets with volatility uncertainty 
Edit intent: fluency
Original: We show that the theta-graph with 5 cones is a geometric spanner with spanning ratio at most \sqrt{50 + 22 5} = 9.960.
Revised: We show that the \theta-graph with 5 cones is a geometric spanner with spanning ratio at most \sqrt{50 + 22 5} = 9.960.
Edit intent: fluency
Original:  It was shown experimentally that vehicles can obstruct the LOS communication up to 50 \% of the time;
Revised:  It was shown experimentally that vehicles can obstruct the line of sight (LOS) communication up to 50 \% of the time;
Edit intent: clarity
Original:  It was shown experimentally that vehicles can obstruct the LOS communication up to 50 \% of the time;
Revised:  It was shown experimentally that vehicles can obstruct the LOS communication up to 50 percent of the time;
Edit intent: fluency
Original:  Based on both experimental measurements and simulations performed using a validated channel model, we show that the elevated position of the antennas on tall vehicles improves communication performance.
Revised:  Based on both experimental measurements and simulations performed using a validated channel model, we show that the elevated position of antennas on tall vehicles improves communication performance.
Edit intent: fluency
Original:  Tall vehicles can significantly increase the effective communication range, with an improvement of up to 50 \% in certain scenarios.
Revised:  Tall vehicles can significantly increase the effective communication range, with an improvement of up to 50 percent in certain scenarios.
Edit intent: fluency
Original:  Using these findings, we propose a new V2V relaying scheme called Tall Vehicle Relaying (TVR) that takes advantage of the better channel characteristics provided by tall vehicles.
Revised:  Using these findings, we propose a new V2V relaying scheme called Tall Vehicle Relaying (TVR) that takes advantage of better channel characteristics provided by tall vehicles.
Edit intent: fluency
Original:  We investigate TVR's system-level performance through a combination of small-scale experiments and large-scale simulations and show that it outperforms existing techniques.
Revised:  We investigate TVR's system-level performance through a combination of link-level experiments and system-level simulations and show that it outperforms existing techniques.
Edit intent: clarity
Original: Methods utilizing coarse-to-fine processing, in which the general features of a stimulus are processed before more detailed structure, have found success in several applications, such as natural language processing, image processing, and computer vision.
Revised: Coarse-to-fine processing, in which the general features of a stimulus are processed before more detailed structure, have found success in several applications, such as natural language processing, image processing, and computer vision.
Edit intent: clarity
Original:  We show that cortical feedback has a substantial effect on spatial dynamics in the LGN . Our results suggest that the LGN may use these recurrent connections to "learn" the coarse-to-fine dynamic during development .
Revised:  We show that cortical feedback has a substantial effect on spatial dynamics in the LGN . Our results suggest that the LGN may use these recurrent connections may be an important mechanism in facilitating the development of spatial coarse-to-fine dynamic during development .
Edit intent: clarity
Original:  We provide an ideal framework within which to  explore this process through more computationally intensive simulations.
Revised:  We provide an ideal framework within which to further explore this process through more computationally intensive simulations.
Edit intent: clarity
Original: Coarse-to-fine processing, in which the general features of a stimulus are processed before more detailed structure, is a fundamental mode of information transmission in many neural sensory systems, including the visual pathway.
Revised: The sequential analysis of information in a coarse-to-fine manner is a fundamental mode of information transmission in many neural sensory systems, including the visual pathway.
Edit intent: clarity
Original: Coarse-to-fine processing, in which the general features of a stimulus are processed before more detailed structure, is a fundamental mode of information transmission in many neural sensory systems, including the visual pathway.
Revised: Coarse-to-fine processing, in which the general features of a stimulus are processed before more detailed structure, is a fundamental mode of processing in the visual pathway.
Edit intent: clarity
Original:  We propose an experimentally testable hypothesis for the function of the extensive feedback in the corticothalamic circuit , and provide an ideal framework within which to further explore this process through more computationally intensive simulations .
Revised:  We propose an experimentally testable hypothesis for the function of the extensive feedback in the corticothalamic circuit .
Edit intent: clarity
Original:  We discuss the model in steady state for a particular choice of states and transition rules and find exact solutions.
Revised:  We discuss the model in steady state for a particular choice of transition rules and find exact solutions.
Edit intent: clarity
Original:  Instead of uncovering the overall "best" partition of nodes in communities  , a more elaborate description is proposed in which community structures are identified at different scales.
Revised:  Instead of uncovering the overall "best" partition of nodes in communities . Here , a more elaborate description is proposed in which community structures are identified at different scales.
Edit intent: coherence
Original:  After some developments for graph wavelets for which we introduce proper scale boundaries , physical scale and scaling functions, we propose a method to mine for communities in  a scale-dependent manner.
Revised:  After new developments for the practical use of graph wavelets, studying proper scale boundaries , physical scale and scaling functions, we propose a method to mine for communities in a scale-dependent manner.
Edit intent: clarity
Original:  It relies on clustering nodes according to their wavelets or scaling functions, using a scale-dependent modularity  .
Revised:  It relies on classifying nodes according to their wavelets or scaling functions, using a scale-dependent modularity .
Edit intent: clarity
Original:  It relies on clustering nodes according to their wavelets or scaling functions, using a scale-dependent modularity  .
Revised:  It relies on clustering nodes according to their wavelets or scaling functions, using a scale-dependent modularity function .
Edit intent: clarity
Original:  An example on a graph benchmark having hierarchical communities shows that we uncover successfully its multiscale structure.
Revised:  An example on a graph benchmark having hierarchical communities shows that we estimate successfully its multiscale structure.
Edit intent: clarity
Original:  Our new semidefinite programming relaxation of the minimum cut problem is obtained by strengthening the well-known semidefinite programming relaxation for the quadratic assignment problem  by fixing two vertices in the graph;
Revised:  Our new semidefinite programming relaxation of the minimum cut problem is obtained by strengthening the known semidefinite programming relaxation for the quadratic assignment problem by fixing two vertices in the graph;
Edit intent: clarity
Original:  Moreover ,  the  first time at which the price of the American bond option equals the payoff turns out to be an optimalexercise time .
Revised:  Moreover , the first time the price of the American bond option equals the payoff turns out to be an optimalexercise time .
Edit intent: clarity
Original:  Moreover ,  the  first time at which the price of the American bond option equals the payoff turns out to be an optimalexercise time .
Revised:  Moreover , the first time at which the price of the American bond option equals the payoff is shown to be optimal .
Edit intent: clarity
Original: Population structure can affect the evolution of parasite virulence and host defense, a hypothesis that has been confirmed by studies focusing on large spatial scales .
Revised: The evolution of parasite virulence and host defense, a hypothesis that has been confirmed by studies focusing on large spatial scales .
Edit intent: clarity
Original: Population structure can affect the evolution of parasite virulence and host defense, a hypothesis that has been confirmed by studies focusing on large spatial scales .
Revised: Population structure can affect the evolution of parasite virulence and host defense, a hypothesis that has been confirmed in studies focusing on large spatial scales .
Edit intent: style
Original:  The host species Temnothorax longispinosus has evolved an effective post-enslavement defense mechanism;
Revised:  The host species Temnothorax longispinosus have been found to exhibit an effective post-enslavement defense mechanism;
Edit intent: clarity
Original:  Our genetic analyses indicate that polydomy, i. e., the occupation of several nest sites by a single colony , is sufficient to explain the elevated relatedness values between slaves and the surrounding host colonies, which may benefit from the slaves'rebellionbehavior .
Revised:  Our genetic analyses indicate that polydomy, i. e., the occupation of several nests in close proximity by a single colony , is sufficient to explain the elevated relatedness values between slaves and the surrounding host colonies, which may benefit from the slaves'rebellionbehavior .
Edit intent: clarity
Original:  Our genetic analyses indicate that polydomy, i. e., the occupation of several nest sites by a single colony , is sufficient to explain the elevated relatedness values between slaves and the surrounding host colonies, which may benefit from the slaves'rebellionbehavior .
Revised:  Our genetic analyses indicate that polydomy, i. e., the occupation of several nest sites by a single colony ) and could have enabled the evolution of 'rebellion' by kin selection .
Edit intent: clarity
Original: We present an algorithm for building a circuit that approximates  unitaries with precision \varepsilon using O( \log (1/ \varepsilon )) Clifford and T gates and employing up to three ancillary qubits.
Revised: We present an algorithm for building a circuit that approximates unitaries with precision \epsilon using O( \log (1/ \varepsilon )) Clifford and T gates and employing up to three ancillary qubits.
Edit intent: clarity
Original: We present an algorithm for building a circuit that approximates  unitaries with precision \varepsilon using O( \log (1/ \varepsilon )) Clifford and T gates and employing up to three ancillary qubits.
Revised: We present an algorithm for building a circuit that approximates unitaries with precision \varepsilon using O( log (1/ \varepsilon )) Clifford and T gates and employing up to three ancillary qubits.
Edit intent: fluency
Original: We present an algorithm for building a circuit that approximates  unitaries with precision \varepsilon using O( \log (1/ \varepsilon )) Clifford and T gates and employing up to three ancillary qubits.
Revised: We present an algorithm for building a circuit that approximates unitaries with precision \varepsilon using O( \log (1/ \epsilon )) Clifford and T gates and employing up to three ancillary qubits.
Edit intent: fluency
Original:  The algorithm for computing our approximating circuit requires an average of O( \log^{2 (1/ \varepsilon)\log\log  (1/ \varepsilon )) operations.
Revised:  The algorithm for computing our approximating circuit requires an average of O( log^2 (1/ \varepsilon)\log\log (1/ \varepsilon )) operations.
Edit intent: fluency
Original:  This results in significant improvement over  current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log  (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Revised:  This results in significant improvement over the current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Edit intent: fluency
Original:  This results in significant improvement over  current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log  (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Revised:  This results in significant improvement over current state of the art for finding an approximation of a unitary , including the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Edit intent: fluency
Original:  This results in significant improvement over  current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log  (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Revised:  This results in significant improvement over current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Edit intent: fluency
Original:  This results in significant improvement over  current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log  (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Revised:  This results in significant improvement over current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \epsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Edit intent: fluency
Original:  This results in significant improvement over  current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log  (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Revised:  This results in significant improvement over current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( log^2 (1/ \varepsilon)\log\log (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Edit intent: clarity
Original:  This results in significant improvement over  current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log  (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Revised:  This results in significant improvement over current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log (1/ { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Edit intent: fluency
Original:  This results in significant improvement over  current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log  (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Revised:  This results in significant improvement over current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log (1/ \varepsilon { )) gates, but uses O( log^2 (1/ \varepsilon { )) ancillae.
Edit intent: fluency
Original:  This results in significant improvement over  current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log  (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ \varepsilon { )) ancillae.
Revised:  This results in significant improvement over current state of the art for finding an approximation of a unitary that includes the Solovay-Kitaev algorithm that requires O( \log ^{3+ \delta }(1/ \varepsilon )) gates and does not use ancillae and the phase kickback approach that requires O( \log^{2 (1/ \varepsilon)\log\log (1/ \varepsilon { )) gates, but uses O( \log^{2 (1/ { )) ancillae.
Edit intent: fluency