text stringlengths 0 12.5k | meta dict | sentences_perturbed int64 0 11 ⌀ | length_stats dict | log_data dict |
|---|---|---|---|---|
---
author:
- |
Alexandre Popoff\
al.popoff@free.fr\
France
title: Towards A Categorical Approach of Transformational Music Theory
---
*Abstract:*\
Transformational music theory mainly deals with group and group actions on sets, which are usually constituted by chords. For example, neo-Riemannian theory u... | null | 3 | {
"length_ratios": [
0.2682926829268293,
0.297029702970297,
0.12631578947368421
],
"original_lengths": [
82,
202,
190
],
"paraphrase_lengths": [
22,
60,
24
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 400,
"most_advantageous_only": 0,
"original_text": "---\nauthor:\n- |\n Alexandre Popoff\\\n al.popoff@free.fr\\\n France\ntitle: Towards A Categorical Approach of Transformational Music Theory\n---\n\n*Abstract:*\\\n\nTra... |
---
abstract: 'The Gao-Wald theorem related to time delay [@gaowald] assumes that the Null Energy Condition and the Null Generic Condition are satisfied, and that the underlying gravity theory is General Relativity. In the present work it is shown that the Gao-Wald theorem is true if the space time is null geodesically... | null | 2 | {
"length_ratios": [
0.368,
0.3448275862068966
],
"original_lengths": [
125,
116
],
"paraphrase_lengths": [
46,
40
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 401,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'The Gao-Wald theorem related to time delay [@gaowald] assumes that the Null Energy Condition and the Null Generic Condition are satisfied, and that the underlying ... |
---
abstract: 'We investigate the relaxation process of ferromagnetic domains in 2D subjected to the influence of both, static disorder of variable strength and weak interactions. The domains are represented by a two species bosonic mixture of $^{87}$Rb ultracold atoms, such that initially each specie lies on left and ... | null | 5 | {
"length_ratios": [
0.14184397163120568,
1,
1.9565217391304348,
0.48,
0.16477272727272727
],
"original_lengths": [
141,
18,
23,
25,
176
],
"paraphrase_lengths": [
20,
18,
45,
12,
29
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 402,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We investigate the relaxation process of ferromagnetic domains in 2D subjected to the influence of both, static disorder of variable strength and weak interactions... |
---
abstract: 'We consider a family of manifolds with a class of degenerating warped product metrics $g_\epsilon=\rho(\epsilon,t)^{2a}dt^2 +\rho(\epsilon,t)^{2b}ds_M^2$, with $M$ compact, $\rho$ homogeneous degree one, $a \le -1$ and $b > 0$. We study the Laplace operator acting on $L^{2}$ differential $p$-forms and gi... | null | 3 | {
"length_ratios": [
0.06866952789699571,
0.8285714285714286,
0.379746835443038
],
"original_lengths": [
233,
35,
79
],
"paraphrase_lengths": [
16,
29,
30
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 403,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We consider a family of manifolds with a class of degenerating warped product metrics $g_\\epsilon=\\rho(\\epsilon,t)^{2a}dt^2 +\\rho(\\epsilon,t)^{2b}ds_M^2$, wit... |
---
abstract: 'Investigating properties of two-dimensional Dirac operators coupled to an electric and a magnetic field (perpendicular to the plane) requires in general unbounded (vector-) potentials. If the system has a certain symmetry, the fields can be described by one-dimensional potentials $V$ and $A$. Assuming th... | null | 3 | {
"length_ratios": [
0.2585034013605442,
2.0064935064935066,
0.08366533864541832
],
"original_lengths": [
147,
154,
251
],
"paraphrase_lengths": [
38,
309,
21
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 404,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Investigating properties of two-dimensional Dirac operators coupled to an electric and a magnetic field (perpendicular to the plane) requires in general unbounded ... |
---
abstract: 'The Bethe-Salpeter equation for ground state of two fermions exchanging a gauge boson presents divergences in the momentum transverse, even in the ladder aproximation projected in light-front. Gauge theories with light-front gauge also present the difficulty associated to the instantaneous term of the pr... | null | 3 | {
"length_ratios": [
0.21739130434782608,
0.1821561338289963,
0.04404145077720207
],
"original_lengths": [
138,
269,
386
],
"paraphrase_lengths": [
30,
49,
17
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 405,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'The Bethe-Salpeter equation for ground state of two fermions exchanging a gauge boson presents divergences in the momentum transverse, even in the ladder aproximat... |
---
abstract: 'Cathodoluminescence spectroscopy (CL) allows characterizing light emission in bulk and nanostructured materials and is a key tool in fields ranging from materials science to nanophotonics. Previously, CL measurements focused on the spectral content and angular distribution of emission, while the polariza... | null | 3 | {
"length_ratios": [
0.8125,
0.34375,
0.12121212121212122
],
"original_lengths": [
16,
32,
165
],
"paraphrase_lengths": [
13,
11,
20
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 406,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Cathodoluminescence spectroscopy (CL) allows characterizing light emission in bulk and nanostructured materials and is a key tool in fields ranging from materials ... |
---
abstract: 'Explicit current-dependent expressions for anisotropic longitudinal and transverse nonlinear magnetoresistivities are represented and analyzed on the basis of a Fokker-Planck approach for two-dimensional single-vortex dynamics in a washboard pinning potential in the presence of point-like disorder. Graph... | null | 3 | {
"length_ratios": [
0.04154727793696275,
0.095,
0.25510204081632654
],
"original_lengths": [
698,
200,
196
],
"paraphrase_lengths": [
29,
19,
50
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 407,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Explicit current-dependent expressions for anisotropic longitudinal and transverse nonlinear magnetoresistivities are represented and analyzed on the basis of a Fo... |
---
abstract: |
We study the finite sample behavior of Lasso-based inference methods such as post double Lasso and debiased Lasso. Empirically and theoretically, we show that these methods can exhibit substantial omitted variable biases (OVBs) due to Lasso not selecting relevant controls. This phenomenon can be sys... | null | 1 | {
"length_ratios": [
5.714285714285714
],
"original_lengths": [
14
],
"paraphrase_lengths": [
80
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 408,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n We study the finite sample behavior of Lasso-based inference methods such as post double Lasso and debiased Lasso. Empirically and theoretically, we show tha... |
---
abstract: 'Due to its interaction with the virtual electron-positron field in vacuum, the photon exhibits a nonzero anomalous magnetic moment whenever it has a nonzero transverse momentum component to an external constant magnetic field. At low and high frequencies this anomalous magnetic moment behaves as paramagn... | null | 1 | {
"length_ratios": [
0.3333333333333333
],
"original_lengths": [
90
],
"paraphrase_lengths": [
30
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 409,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Due to its interaction with the virtual electron-positron field in vacuum, the photon exhibits a nonzero anomalous magnetic moment whenever it has a nonzero transv... |
---
abstract: 'We present 3D magnetohydrodynamic (MHD) numerical simulations of the evolution of self–gravitating and weakly magnetized disks with an adiabatic equation of state. Such disks are subject to the development of both the magnetorotational and gravitational instabilities, which transport angular momentum out... | null | 6 | {
"length_ratios": [
0.34615384615384615,
0.42857142857142855,
0.2923076923076923,
0.09701492537313433,
0.23376623376623376,
0.21487603305785125
],
"original_lengths": [
104,
84,
65,
134,
77,
121
],
"paraphrase_lengths": [
36,
36,
19,
13,
18,... | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 410,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We present 3D magnetohydrodynamic (MHD) numerical simulations of the evolution of self–gravitating and weakly magnetized disks with an adiabatic equation of state.... |
---
abstract: |
Let $\varphi: D\rightarrow \Omega$ be a homeomorphism from a circle domain $D$ onto a domain $\Omega\subset\hat{{\mathbb{C}}}$. We obtain necessary and sufficient conditions (1) for $\varphi$ to have a continuous extension to the closure $\overline{D}$ and (2) for such an extension to be injective. ... | null | 4 | {
"length_ratios": [
0.44680851063829785,
0.2682926829268293,
0.2903225806451613,
0.3
],
"original_lengths": [
47,
41,
93,
50
],
"paraphrase_lengths": [
21,
11,
27,
15
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 411,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n Let $\\varphi: D\\rightarrow \\Omega$ be a homeomorphism from a circle domain $D$ onto a domain $\\Omega\\subset\\hat{{\\mathbb{C}}}$. We obtain necessary an... |
---
abstract: 'In this paper we introduce new methods to prove the finite cyclicity of some graphics through a triple nilpotent point of saddle or elliptic type surrounding a center. After applying a blow-up of the family, yielding a singular 3-dimensional foliation, this amounts to proving the finite cyclicity of a fa... | null | 2 | {
"length_ratios": [
0.1411042944785276,
1
],
"original_lengths": [
163,
500
],
"paraphrase_lengths": [
23,
500
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 412,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'In this paper we introduce new methods to prove the finite cyclicity of some graphics through a triple nilpotent point of saddle or elliptic type surrounding a cen... |
---
abstract: 'Recently N. Nitsure showed that for a coherent sheaf ${{\mathcal F}}$ on a noetherian scheme the automorphism functor ${\underline{{\mathrm{Aut}\,}}}_{{{\mathcal F}}}$ is representable if and only if ${{\mathcal F}}$ is locally free. Here we remove the noetherian hypothesis and show that the same result ... | null | 6 | {
"length_ratios": [
0.14739884393063585,
0.07990314769975787,
0.1875,
1.2105263157894737,
1.1818181818181819,
0.07906976744186046
],
"original_lengths": [
346,
413,
144,
38,
33,
215
],
"paraphrase_lengths": [
51,
33,
27,
46,
39,
17
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 413,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Recently N. Nitsure showed that for a coherent sheaf ${{\\mathcal F}}$ on a noetherian scheme the automorphism functor ${\\underline{{\\mathrm{Aut}\\,}}}_{{{\\math... |
---
abstract: 'Unbiased data collection is essential to guaranteeing fairness in artificial intelligence models. Implicit bias, a form of behavioral conditioning that leads us to attribute predetermined characteristics to members of certain groups and informs the data collection process. This paper quantifies implicit ... | null | 4 | {
"length_ratios": [
5.814814814814815,
0.1935483870967742,
0.10714285714285714,
0.9577464788732394
],
"original_lengths": [
27,
62,
112,
71
],
"paraphrase_lengths": [
157,
12,
12,
68
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 414,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Unbiased data collection is essential to guaranteeing fairness in artificial intelligence models. Implicit bias, a form of behavioral conditioning that leads us to... |
---
abstract: |
The one-dimensional partially asymmetric simple exclusion process with open boundaries is considered. The stationary state, which is known to be constructed in a matrix product form, is studied by applying the theory of $q$-orthogonal polynomials. Using a formula of the $q$-Hermite polynomials, the ... | null | 1 | {
"length_ratios": [
0.3829787234042553
],
"original_lengths": [
47
],
"paraphrase_lengths": [
18
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 415,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n The one-dimensional partially asymmetric simple exclusion process with open boundaries is considered. The stationary state, which is known to be constructed ... |
---
abstract: 'We have explored a simple microscopic model to simulate a thermally activated rate process where the associated bath which comprises a set of relaxing modes is not in an equilibrium state. The model captures some of the essential features of non-Markovian Langevin dynamics with a fluctuating barrier. Mak... | null | 1 | {
"length_ratios": [
0.6666666666666666
],
"original_lengths": [
75
],
"paraphrase_lengths": [
50
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 416,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We have explored a simple microscopic model to simulate a thermally activated rate process where the associated bath which comprises a set of relaxing modes is not... |
---
abstract: 'Spectroscopic studies play a key role in the identification and analysis of interstellar ices and their structure. Some molecules have been identified within the interstellar ices either as pure, mixed, or even as layered structures. Absorption band features of water ice can significantly change with the... | null | 4 | {
"length_ratios": [
0.12389380530973451,
0.16883116883116883,
1,
1
],
"original_lengths": [
226,
154,
12,
10
],
"paraphrase_lengths": [
28,
26,
12,
10
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 417,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Spectroscopic studies play a key role in the identification and analysis of interstellar ices and their structure. Some molecules have been identified within the i... |
---
abstract: |
This paper considers two important questions in the well-studied theory of graphs that are $F$-saturated. A graph $G$ is called $F$-saturated if $G$ does not contain a subgraph isomorphic to $F$, but the addition of any edge creates a copy of $F$. We first resolve the most fundamental question of mi... | null | 4 | {
"length_ratios": [
0.2125984251968504,
0.2282958199356913,
0.13636363636363635,
0.09782608695652174
],
"original_lengths": [
127,
311,
154,
184
],
"paraphrase_lengths": [
27,
71,
21,
18
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 418,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n This paper considers two important questions in the well-studied theory of graphs that are $F$-saturated. A graph $G$ is called $F$-saturated if $G$ does not... |
---
abstract: 'We study the effect of starlight from the first stars on the ability of other minihaloes in their neighbourhood to form additional stars. The first stars in the $\Lambda$CDM universe are believed to have formed in minihaloes of total mass $\sim 10^{5-6}\,M_\odot$ at redshifts $z\ga 20$, when molecular hy... | null | 1 | {
"length_ratios": [
0.20863309352517986
],
"original_lengths": [
139
],
"paraphrase_lengths": [
29
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 419,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We study the effect of starlight from the first stars on the ability of other minihaloes in their neighbourhood to form additional stars. The first stars in the $\... |
---
abstract: 'In this paper we study the smoothness properties of solutions to the KP-I equation. We show that the equation’s dispersive nature leads to a gain in regularity for the solution. In particular, if the initial data $\phi$ possesses certain regularity and sufficient decay as $x \rightarrow \infty$, then the... | null | 2 | {
"length_ratios": [
0.1574074074074074,
0.20476190476190476
],
"original_lengths": [
108,
210
],
"paraphrase_lengths": [
17,
43
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 420,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'In this paper we study the smoothness properties of solutions to the KP-I equation. We show that the equation’s dispersive nature leads to a gain in regularity for... |
---
abstract: 'We investigate Monte Carlo Markov Chain (MCMC) procedures for the random sampling of some one-dimensional lattice paths with constraints, for various constraints. We will see that an approach inspired by *optimal transport* allows us to efficiently bound the mixing time of the associated Markov chain. Th... | null | 1 | {
"length_ratios": [
0.2978723404255319
],
"original_lengths": [
47
],
"paraphrase_lengths": [
14
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 421,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We investigate Monte Carlo Markov Chain (MCMC) procedures for the random sampling of some one-dimensional lattice paths with constraints, for various constraints. ... |
---
abstract: 'A loop whose inner mappings are automorphisms is an *automorphic loop* (or *A-loop*). We characterize commutative (A-)loops with middle nucleus of index $2$ and solve the isomorphism problem. Using this characterization and certain central extensions based on trilinear forms, we construct several classes... | null | 4 | {
"length_ratios": [
0.1375,
0.13675213675213677,
0.34234234234234234,
0.7435897435897436
],
"original_lengths": [
80,
117,
111,
39
],
"paraphrase_lengths": [
11,
16,
38,
29
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 422,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'A loop whose inner mappings are automorphisms is an *automorphic loop* (or *A-loop*). We characterize commutative (A-)loops with middle nucleus of index $2$ and so... |
---
abstract: 'Interesting effects arise in cyclic machines where both heat and ergotropy transfer take place between the energising bath and the system (the working fluid). Such effects correspond to unconventional decompositions of energy exchange between the bath and the system into heat and work, respectively, resu... | null | 2 | {
"length_ratios": [
0.1724137931034483,
0.26785714285714285
],
"original_lengths": [
87,
56
],
"paraphrase_lengths": [
15,
15
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 423,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Interesting effects arise in cyclic machines where both heat and ergotropy transfer take place between the energising bath and the system (the working fluid). Such... |
---
author:
- 'S. Sabari$^{1,2}$ ' @FetterRMP]. Contrary to the short-range contact interaction, the DDI is a long-range anisotropic interaction that can be either repulsive or attractive. The interaction is also [@FBR]. It is therefore appealing to study the properties of dipolar BECs in variable short-range contact i... | null | 2 | {
"length_ratios": [
0.05555555555555555,
0.3069306930693069
],
"original_lengths": [
522,
101
],
"paraphrase_lengths": [
29,
31
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 424,
"most_advantageous_only": 0,
"original_text": "---\nauthor:\n- 'S. Sabari$^{1,2}$ and R. Kishor Kumar$^{3}$'\ntitle: 'Effect of an oscillating Gaussian obstacle in a Dipolar Bose-Einstein condensate'\n---\n\nIntroduction {#sec... |
---
abstract: 'We study the structure of the load-based spanning tree (LST) that carries the maximum weight of the Erdös-Rényi (ER) random network. The weight of an edge is given by the edge-betweenness centrality, the effective number of shortest paths through the edge. We find that the LSTs present very inhomogeneous... | null | 1 | {
"length_ratios": [
0.14935064935064934
],
"original_lengths": [
154
],
"paraphrase_lengths": [
23
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 425,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We study the structure of the load-based spanning tree (LST) that carries the maximum weight of the Erdös-Rényi (ER) random network. The weight of an edge is given... |
Marc Massar [^1] and Jan Troost [^2]\
[*Theoretische Natuurkunde, Vrije Universiteit Brussel*]{}\
[*Pleinlaan 2, B-1050 Brussel, Belgium*]{}\
ABSTRACT
> We study a configuration in matrix theory carying longitudinal fivebrane charge, i.e. a D0-D4 bound state. We calculate the one-loop effective potential between a D0... | null | 1 | {
"length_ratios": [
0.15204678362573099
],
"original_lengths": [
171
],
"paraphrase_lengths": [
26
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 426,
"most_advantageous_only": 0,
"original_text": "Marc Massar [^1] and Jan Troost [^2]\\\n[*Theoretische Natuurkunde, Vrije Universiteit Brussel*]{}\\\n[*Pleinlaan 2, B-1050 Brussel, Belgium*]{}\\\n\nABSTRACT\n\n> We study a conf... |
---
abstract: 'We establish a link between the maximization of Kolmogorov Sinai entropy (KSE) and the minimization of the mixing time for general Markov chains. Since the maximisation of KSE is analytical and easier to compute in general than mixing time, this link provides a new faster method to approximate the minimu... | null | 6 | {
"length_ratios": [
1.1538461538461537,
1,
0.07246376811594203,
0.12222222222222222,
0.17355371900826447,
0.3288590604026846
],
"original_lengths": [
13,
15,
276,
180,
121,
149
],
"paraphrase_lengths": [
15,
15,
20,
22,
21,
49
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 427,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We establish a link between the maximization of Kolmogorov Sinai entropy (KSE) and the minimization of the mixing time for general Markov chains. Since the maximis... |
---
abstract: 'We study nonlinear waves in a nonrelativistic ideal and cold quark gluon plasma immersed in a strong uniform magnetic field. In the context of nonrelativistic hydrodynamics with an external magnetic field we derive a nonlinear wave equation for baryon density perturbations, which can be written as a redu... | null | 6 | {
"length_ratios": [
3.8181818181818183,
0.13432835820895522,
0.23893805309734514,
0.14383561643835616,
0.3855421686746988,
0.8085106382978723
],
"original_lengths": [
77,
134,
113,
146,
83,
47
],
"paraphrase_lengths": [
294,
18,
27,
21,
32,
... | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 428,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We study nonlinear waves in a nonrelativistic ideal and cold quark gluon plasma immersed in a strong uniform magnetic field. In the context of nonrelativistic hydr... |
---
abstract: |
A filtration over a simplicial complex $K$ is an ordering of the simplices of $K$ such that all prefixes in the ordering are subcomplexes of $K$. Filtrations are at the core of Persistent Homology, a major tool in Topological Data Analysis. In order to represent the filtration of a simplicial comple... | null | 5 | {
"length_ratios": [
0.09016393442622951,
0.3496932515337423,
0.15985130111524162,
0.2752808988764045,
0.2236842105263158
],
"original_lengths": [
122,
163,
269,
178,
76
],
"paraphrase_lengths": [
11,
57,
43,
49,
17
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 429,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n A filtration over a simplicial complex $K$ is an ordering of the simplices of $K$ such that all prefixes in the ordering are subcomplexes of $K$. Filtrations... |
---
abstract: 'We study the Dirichlet series $F_b(s)=\sum_{n=1}^\infty d_b(n)n^{-s}$, where $d_b(n)$ is the sum of the base-$b$ digits of the integer $n$, and $G_b(s)=\sum_{n=1}^\infty S_b(n)n^{-s}$, where $S_b(n)=\sum_{m=1}^{n-1}d_b(m)$ is the summatory function of $d_b(n)$. We show that $F_b(s)$ and $G_b(s)$ have con... | null | 2 | {
"length_ratios": [
0.051194539249146756,
0.6346153846153846
],
"original_lengths": [
293,
52
],
"paraphrase_lengths": [
15,
33
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 430,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We study the Dirichlet series $F_b(s)=\\sum_{n=1}^\\infty d_b(n)n^{-s}$, where $d_b(n)$ is the sum of the base-$b$ digits of the integer $n$, and $G_b(s)=\\sum_{n=... |
---
author:
- |
Wei-Gang Yuan, Xiao-Dong Zhang$^{\dagger}$\
[Department of Mathematics, and MOE-LSC]{}\
[Shanghai Jiao Tong University]{}\
[800 Dongchuan Road, Shanghai, 200240, P.R. China]{}\
title: 'The Second Zagreb Indices of Graphs with Given Degree Sequences [^1]'
---
= -0.2 in = 0.25 in
\[secti... | null | 2 | {
"length_ratios": [
0.42424242424242425,
0.7349397590361446
],
"original_lengths": [
66,
83
],
"paraphrase_lengths": [
28,
61
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 431,
"most_advantageous_only": 0,
"original_text": "---\nauthor:\n- |\n Wei-Gang Yuan, Xiao-Dong Zhang$^{\\dagger}$\\\n [Department of Mathematics, and MOE-LSC]{}\\\n [Shanghai Jiao Tong University]{}\\\n [800 Dongchuan... |
---
abstract: 'In the standard scenario of isolated low-mass star formation, strongly magnetized molecular clouds are envisioned to condense gradually into cores, driven by ambipolar diffusion. Once the cores become magnetically supercritical, they collapse to form stars. Most previous studies based on this scenario ar... | null | 0 | {
"length_ratios": [],
"original_lengths": [],
"paraphrase_lengths": []
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 432,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'In the standard scenario of isolated low-mass star formation, strongly magnetized molecular clouds are envisioned to condense gradually into cores, driven by ambip... |
---
abstract: 'We examine the reliability of the merger trees generated for the Monte-Carlo modeling of galaxy formation. In particular we focus on the cold gas fraction predicted from merger trees with different assumptions on the progenitor distribution function, the timestep, and the mass resolution. We show that th... | null | 2 | {
"length_ratios": [
0.36496350364963503,
0.2
],
"original_lengths": [
137,
275
],
"paraphrase_lengths": [
50,
55
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 433,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We examine the reliability of the merger trees generated for the Monte-Carlo modeling of galaxy formation. In particular we focus on the cold gas fraction predicte... |
---
abstract: 'A fuzzy expert system (FES) for the prediction of prostate cancer (PC) is prescribed in this article. Age, prostate-specific antigen (PSA), prostate volume (PV) and $\%$ Free PSA ($\%$FPSA) are fed as inputs into the FES and prostate cancer risk (PCR) is obtained as the output. Using knowledge based rule... | null | 4 | {
"length_ratios": [
0.0979020979020979,
0.4838709677419355,
0.2,
0.19148936170212766
],
"original_lengths": [
143,
31,
80,
94
],
"paraphrase_lengths": [
14,
15,
16,
18
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 434,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'A fuzzy expert system (FES) for the prediction of prostate cancer (PC) is prescribed in this article. Age, prostate-specific antigen (PSA), prostate volume (PV) an... |
---
author:
- Wensheng Cheng
- Yan Zhang
- Xu Lei
- Wen Yang
- Guisong Xia
bibliography:
- 'segmentation.bib'
- 'change\_detection.bib'
title: Semantic Change Pattern Analysis
---
| null | 0 | {
"length_ratios": [],
"original_lengths": [],
"paraphrase_lengths": []
} | null |
---
author:
- 'R. K. Zamanov'
- 'K. A. Stoyanov'
- 'J. Martí'
- 'G. Y. Latev'
- 'Y. M. Nikolov'
- 'M. F. Bode'
- 'P. L. Luque-Escamilla'
date: 'Received April 20, 2016; accepted July 8, 2016'
title: 'Optical spectroscopy of Be/gamma-ray binaries'
---
Introduction
============
The rapid and sustained progress of high ... | null | 4 | {
"length_ratios": [
0.3111111111111111,
0.36619718309859156,
0.12429378531073447,
0.2564102564102564
],
"original_lengths": [
45,
71,
177,
78
],
"paraphrase_lengths": [
14,
26,
22,
20
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 436,
"most_advantageous_only": 0,
"original_text": "---\nauthor:\n- 'R. K. Zamanov'\n- 'K. A. Stoyanov'\n- 'J. Martí'\n- 'G. Y. Latev'\n- 'Y. M. Nikolov'\n- 'M. F. Bode'\n- 'P. L. Luque-Escamilla'\ndate: 'Received April 20, 2016; a... |
---
abstract: 'We study the evolution of LTB Universe models possessing a varying cosmological term and a material fluid.' author: [, et al. *]{} [@DHW] and references therein. This may be so if the energy of the quantum vacuum spontaneously decayed into matter and radiation, hence reducing the cosmological term to a v... | null | 1 | {
"length_ratios": [
0.04857142857142857
],
"original_lengths": [
350
],
"paraphrase_lengths": [
17
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 437,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We study the evolution of LTB Universe models possessing a varying cosmological term and a material fluid.'\nauthor:\n- 'LUIS P. CHIMENTO'\n- DIEGO PAVÓN\ntitle: I... |
---
abstract: 'We show that the homology of ordered configuration spaces of finite trees with loops is torsion free. We introduce configuration spaces with sinks, which allow for taking quotients of the base space. Furthermore, we give a concrete generating set for all homology groups of configuration spaces of trees w... | null | 4 | {
"length_ratios": [
0.10191082802547771,
1,
0.16826923076923078,
0.7804878048780488
],
"original_lengths": [
157,
800,
208,
41
],
"paraphrase_lengths": [
16,
800,
35,
32
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 438,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We show that the homology of ordered configuration spaces of finite trees with loops is torsion free. We introduce configuration spaces with sinks, which allow for... |
---
abstract: 'In this paper we address the problem of information-constrained optimal control for an interconnected system subject to one-step communication delays and power constraints. The goal is to minimize a finite-horizon quadratic cost by optimally choosing the control inputs for the subsystems, accounting for ... | null | 6 | {
"length_ratios": [
0.8488372093023255,
1.2307692307692308,
0.14745308310991956,
0.29069767441860467,
0.21705426356589147,
0.29310344827586204
],
"original_lengths": [
86,
13,
373,
86,
129,
58
],
"paraphrase_lengths": [
73,
16,
55,
25,
28,
... | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 439,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'In this paper we address the problem of information-constrained optimal control for an interconnected system subject to one-step communication delays and power con... |
---
abstract: 'We report the discovery of two Mira variable stars (Miras) toward the Sextans dwarf spheroidal (dSph) galaxy. We performed optical long-term monitoring observations for two red stars in the Sextans dSph. The light curves of both stars in the $I_{\rm c}$ band show large-amplitude (3.7 and 0.9 mag) and lon... | null | 3 | {
"length_ratios": [
0.8253968253968254,
1.4166666666666667,
0.14423076923076922
],
"original_lengths": [
63,
12,
104
],
"paraphrase_lengths": [
52,
17,
15
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 440,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We report the discovery of two Mira variable stars (Miras) toward the Sextans dwarf spheroidal (dSph) galaxy. We performed optical long-term monitoring observation... |
---
abstract: 'A novel soft-photon amplitude is proposed to replace the conventional Low soft-photon amplitude for nucleon-nucleon bremsstrahlung. Its derivation is guided by the standard meson-exchange model of the nucleon-nucleon interaction. This new amplitude provides a superior description of $pp\gamma$ data. The ... | null | 1 | {
"length_ratios": [
0.08294930875576037
],
"original_lengths": [
217
],
"paraphrase_lengths": [
18
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 441,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'A novel soft-photon amplitude is proposed to replace the conventional Low soft-photon amplitude for nucleon-nucleon bremsstrahlung. Its derivation is guided by the... |
---
address: |
The Johns Hopkins University\
Dept. of Physics and Astronomy\
3400 N. Charles Street\
Baltimore, MD 21218
author:
- 'Edward M. Murphy[@byline]'
date: 'September 21, 1998'
title: A Prosaic Explanation for the Anomalous Accelerations Seen in Distant Spacecraft
---
‘=11
2
bylinecite thank... | null | 2 | {
"length_ratios": [
0.14285714285714285,
0.5555555555555556
],
"original_lengths": [
147,
45
],
"paraphrase_lengths": [
21,
25
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 442,
"most_advantageous_only": 0,
"original_text": "---\naddress: |\n The Johns Hopkins University\\\n Dept. of Physics and Astronomy\\\n 3400 N. Charles Street\\\n Baltimore, MD 21218\nauthor:\n- 'Edward M. Murphy[@byl... |
---
abstract: 'It was recently observed that sand flowing down a vertical tube sometimes forms a traveling density pattern in which a number of regions with high density are separated from each other by regions of low density. In this work, we consider this behavior from the point of view of kinetic wave theory. Simila... | null | 5 | {
"length_ratios": [
1.9811320754716981,
0.6376811594202898,
0.23333333333333334,
0.5604395604395604,
0.1115702479338843
],
"original_lengths": [
106,
69,
90,
91,
242
],
"paraphrase_lengths": [
210,
44,
21,
51,
27
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 443,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'It was recently observed that sand flowing down a vertical tube sometimes forms a traveling density pattern in which a number of regions with high density are sepa... |
---
abstract: 'The dielectric function for electron gas with parabolic energy bands is derived in a fractional dimensional space. The static response function shows a good dimensional dependence. The plasma frequencies are obtained from the roots of the dielectric functions. The plasma dispersion shows strong dimension... | null | 4 | {
"length_ratios": [
0.1266233766233766,
0.5495495495495496,
0.5461538461538461,
1.0769230769230769
],
"original_lengths": [
308,
111,
130,
13
],
"paraphrase_lengths": [
39,
61,
71,
14
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 444,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'The dielectric function for electron gas with parabolic energy bands is derived in a fractional dimensional space. The static response function shows a good dimens... |
---
abstract: |
Thermal inflation usually requires an inflationary potential with nonrenormalizable operators (NROs). We demonstrate how O’Raifeartaigh models with or without NROs can provide thermal inflation and a solution to the moduli problem, as well as provide SUSY breaking. We then discuss a scenario where g... | null | 1 | {
"length_ratios": [
0.2154696132596685
],
"original_lengths": [
181
],
"paraphrase_lengths": [
39
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 445,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n Thermal inflation usually requires an inflationary potential with nonrenormalizable operators (NROs). We demonstrate how O’Raifeartaigh models with or withou... |
---
abstract: 'We use metastable NaCl-structure Ti$_{0.5}$Al$_{0.5}$N alloys to probe effects of configurational disorder on adatom surface diffusion dynamics which control phase stability and nanostructural evolution during film growth. First-principles calculations were employed to obtain potential energy maps of Ti ... | null | 7 | {
"length_ratios": [
1.1428571428571428,
0.4351851851851852,
0.4215686274509804,
4.363636363636363,
0.176056338028169,
0.2786885245901639,
0.24475524475524477
],
"original_lengths": [
14,
108,
102,
11,
142,
122,
143
],
"paraphrase_lengths": [
16,
... | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 446,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We use metastable NaCl-structure Ti$_{0.5}$Al$_{0.5}$N alloys to probe effects of configurational disorder on adatom surface diffusion dynamics which control phase... |
---
abstract: 'Given a Kählerian holomorphic fiber bundle $F {\hookrightarrow}M {\rightarrow}X$, whose fiber $F$ is a compact homogeneous Kähler manifold, we describe the perturbed Hermitian–Einstein equations relative to certain holomorphic vector bundles ${{\mathcal}E} {\rightarrow}M$ . With ysteriological equations.... | null | 4 | {
"length_ratios": [
0.20869565217391303,
0.155,
0.03125,
0.39436619718309857
],
"original_lengths": [
115,
200,
608,
71
],
"paraphrase_lengths": [
24,
31,
19,
28
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 447,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Given a Kählerian holomorphic fiber bundle $F {\\hookrightarrow}M {\\rightarrow}X$, whose fiber $F$ is a compact homogeneous Kähler manifold, we describe the pertu... |
---
author:
- '[](mailto:xcolor@ukern.de)'
date: ' () [^1]'
title: 'Color extensions with the package — various examples'
---
\[2007/01/21 v2.11 Color logging test (UK)\]
The purpose of this file is to demonstrate a variety of capabilities including the logging facilities of the package. By playing around with differ... | null | 0 | {
"length_ratios": [],
"original_lengths": [],
"paraphrase_lengths": []
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 448,
"most_advantageous_only": 0,
"original_text": "---\nauthor:\n- '[](mailto:xcolor@ukern.de)'\ndate: ' () [^1]'\ntitle: 'Color extensions with the package — various examples'\n---\n\n\\[2007/01/21 v2.11 Color logging test (UK)\\... |
---
abstract: |
Observations of radio halos and relics in galaxy clusters indicate efficient electron acceleration. Protons should likewise be accelerated and, on account of weak energy losses, can accumulate, suggesting that clusters may also be sources of very high-energy (VHE; $E>100$ GeV) gamma-ray emission. We... | null | 3 | {
"length_ratios": [
0.058524173027989825,
0.22077922077922077,
0.182648401826484
],
"original_lengths": [
393,
77,
219
],
"paraphrase_lengths": [
23,
17,
40
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 449,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n Observations of radio halos and relics in galaxy clusters indicate efficient electron acceleration. Protons should likewise be accelerated and, on account of... |
---
abstract: 'The Auger Engineering Radio Array (AERA) aims at the detection of air showers induced by high-energy cosmic rays. As an extension of the Pierre Auger Observatory, it measures complementary information to the particle detectors, fluorescence telescopes and to the muon scintillators of the Auger Muons and ... | null | 8 | {
"length_ratios": [
0.14492753623188406,
0.40860215053763443,
0.6153846153846154,
0.15328467153284672,
0.12101910828025478,
0.6086956521739131,
0.2765957446808511,
0.21232876712328766
],
"original_lengths": [
138,
93,
52,
137,
157,
69,
94,
146
],
... | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 450,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'The Auger Engineering Radio Array (AERA) aims at the detection of air showers induced by high-energy cosmic rays. As an extension of the Pierre Auger Observatory, ... |
---
abstract: 'We provide a compact analytic formula to compute the spin of the black hole produced by the coalescence of two black holes following a quasi-circular inspiral. Without additional fits than those already available for binaries with aligned or antialigned spins, but with a minimal set of assumptions, we de... | null | 1 | {
"length_ratios": [
0.14705882352941177
],
"original_lengths": [
204
],
"paraphrase_lengths": [
30
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 451,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We provide a compact analytic formula to compute the spin of the black hole produced by the coalescence of two black holes following a quasi-circular inspiral. Wit... |
---
author:
- |
Chang-han Rhee\
Peter W. Glynn\
Stanford University\
Stanford, CA 94305, U.S.A.
title: 'A NEW APPROACH TO UNBIASED ESTIMATION FOR SDE’S'
---
ABSTRACT {#abstract .unnumbered}
========
In this paper, we introduce a new approach to constructing unbiased estimators when computing expectati... | null | 4 | {
"length_ratios": [
0.34,
0.23076923076923078,
0.18238993710691823,
0.08653846153846154
],
"original_lengths": [
50,
143,
159,
208
],
"paraphrase_lengths": [
17,
33,
29,
18
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 452,
"most_advantageous_only": 0,
"original_text": "---\nauthor:\n- |\n Chang-han Rhee\\\n Peter W. Glynn\\\n Stanford University\\\n Stanford, CA 94305, U.S.A.\ntitle: 'A NEW APPROACH TO UNBIASED ESTIMATION FOR SDE’S'\... |
---
abstract: 'In this paper, we propose a state-of-the-art video denoising algorithm based on a convolutional neural network architecture. Until recently, video denoising with neural networks had been a largely under explored domain, and existing methods could not compete with the performance of the best patch-based m... | null | 2 | {
"length_ratios": [
0.5483870967741935,
0.2631578947368421
],
"original_lengths": [
62,
133
],
"paraphrase_lengths": [
34,
35
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 453,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'In this paper, we propose a state-of-the-art video denoising algorithm based on a convolutional neural network architecture. Until recently, video denoising with n... |
---
abstract: 'In this paper, we explore when a locally finite triangulated category has dimension zero or finite representation type. We False subcategories.' address: i was the structure of the categories.' [@R]. The first subject of this paper, which is discussed in Section 2, is to describe “smallest” triangulated ... | null | 11 | {
"length_ratios": [
0.9090909090909091,
0.3157894736842105,
0.1062992125984252,
1.0434782608695652,
0.10344827586206896,
0.4032258064516129,
0.6111111111111112,
0.5176470588235295,
0.9473684210526315,
0.6486486486486487,
0.4019607843137255
],
"original_lengths": [
... | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 454,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'In this paper, we explore when a locally finite triangulated category has dimension zero or finite representation type. We also study generation of derived categor... |
---
abstract: 'Dynamics, the study of change, is normally the subject of mechanics. Whether the chosen mechanics is “fundamental” and deterministic or “phenomenological” and stochastic, all changes are described relative to an external time. Here we show that once we define what we are talking about, namely, the system... | null | 5 | {
"length_ratios": [
0.18974358974358974,
0.5555555555555556,
0.18699186991869918,
0.28888888888888886,
0.6153846153846154
],
"original_lengths": [
195,
45,
246,
90,
91
],
"paraphrase_lengths": [
37,
25,
46,
26,
56
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 455,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Dynamics, the study of change, is normally the subject of mechanics. Whether the chosen mechanics is “fundamental” and deterministic or “phenomenological” and stoc... |
---
abstract: |
Using $2917 \invpb$ of data accumulated at $3.773\gev$, $44.5\invpb$ of data accumulated at $3.65\gev$ and data accumulated during a $\psi(3770)$ line-shape scan with the BESIII detector, the reaction $e^+e^-\rightarrow p\bar{p}$ is studied considering a possible interference between resonant and co... | null | 5 | {
"length_ratios": [
1.8867924528301887,
0.13440860215053763,
0.1870967741935484,
0.0880281690140845,
0.336283185840708
],
"original_lengths": [
53,
186,
155,
284,
113
],
"paraphrase_lengths": [
100,
25,
29,
25,
38
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 456,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n Using $2917 \\invpb$ of data accumulated at $3.773\\gev$, $44.5\\invpb$ of data accumulated at $3.65\\gev$ and data accumulated during a $\\psi(3770)$ line-s... |
---
abstract: 'This note provides a correct proof of the result claimed by the second author that locally compact normal spaces are collectionwise Hausdorff in certain models obtained by forcing with a coherent Souslin tree. A . A New Conjecture Conjecture. Together with other improvements, this enables the consistent ... | null | 3 | {
"length_ratios": [
0.21768707482993196,
0.12203389830508475,
0.3090909090909091
],
"original_lengths": [
147,
295,
55
],
"paraphrase_lengths": [
32,
36,
17
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 457,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'This note provides a correct proof of the result claimed by the second author that locally compact normal spaces are collectionwise Hausdorff in certain models obt... |
---
abstract: 'The goal of this mostly expository paper is to present several candidates for hyperbolic structures on irreducible Artin-Tits groups of spherical type and to elucidate some relations between them. Most constructions are algebraic analogues of previously known hyperbolic structures on Artin braid groups c... | null | 3 | {
"length_ratios": [
0.15706806282722513,
0.022288261515601784,
0.4461538461538462
],
"original_lengths": [
191,
673,
65
],
"paraphrase_lengths": [
30,
15,
29
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 458,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'The goal of this mostly expository paper is to present several candidates for hyperbolic structures on irreducible Artin-Tits groups of spherical type and to eluci... |
---
abstract: 'The relative density of visible points of the integer lattice ${\mathbb{Z}}^d$ is known to be $1/\zeta(d)$ for $d\geq 2$, where $\zeta$ is Riemann’s zeta function. In True $K={\mathbb{Q}}(\sqrt{2})$.' author:
- Gustav Hammarhjelm
bibliography:
- 'bibl.bib'
title: 'The density of visible points in the Amm... | null | 4 | {
"length_ratios": [
0.16666666666666666,
0.23893805309734514,
0.323943661971831,
0.5471698113207547
],
"original_lengths": [
216,
113,
142,
53
],
"paraphrase_lengths": [
36,
27,
46,
29
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 459,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'The relative density of visible points of the integer lattice ${\\mathbb{Z}}^d$ is known to be $1/\\zeta(d)$ for $d\\geq 2$, where $\\zeta$ is Riemann’s zeta funct... |
---
abstract: 'In this paper, a point-to-point Orthogonal Frequency Division Multiplexing (OFDM) system with a decode-and-forward (DF) relay is considered. The transmission consists of two hops. The source transmits in the first hop, and the relay transmits in the second hop. Each hop occupies one time slot. The relay ... | null | 6 | {
"length_ratios": [
0.3333333333333333,
0.9056603773584906,
1.34,
0.34065934065934067,
0.2660098522167488,
0.603448275862069
],
"original_lengths": [
231,
53,
50,
91,
203,
58
],
"paraphrase_lengths": [
77,
48,
67,
31,
54,
35
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 460,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'In this paper, a point-to-point Orthogonal Frequency Division Multiplexing (OFDM) system with a decode-and-forward (DF) relay is considered. The transmission consi... |
---
abstract: |
We determine several necessary and sufficient conditions for a closed almost-complex orbifold $Q$ with cyclic local groups to admit a nonvanishing vector field. These conditions are stated separately in terms of the orbifold Euler-Satake characteristics of $Q$ and its sectors, the Euler characterist... | null | 2 | {
"length_ratios": [
0.13253012048192772,
0.33783783783783783
],
"original_lengths": [
166,
74
],
"paraphrase_lengths": [
22,
25
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 461,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n We determine several necessary and sufficient conditions for a closed almost-complex orbifold $Q$ with cyclic local groups to admit a nonvanishing vector fie... |
---
abstract: 'Bulk and decay properties, including deformation energy curves, charge mean square radii, Gamow-Teller (GT) strength distributions, and $\beta$-decay half-lives, are studied in neutron-deficient even-even and odd-$A$ Hg and Pt isotopes. The nuclear structure is described microscopically from deformed qua... | null | 4 | {
"length_ratios": [
0.3888888888888889,
0.22429906542056074,
0.10526315789473684,
0.0782608695652174
],
"original_lengths": [
108,
107,
133,
230
],
"paraphrase_lengths": [
42,
24,
14,
18
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 462,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Bulk and decay properties, including deformation energy curves, charge mean square radii, Gamow-Teller (GT) strength distributions, and $\\beta$-decay half-lives, ... |
---
abstract: 'In this paper, from the viewpoint of the concentration theory of maps, we study a compact group and a Lévy group action to a large class of metric spaces, such as $\mathbb{R}$-trees, doubling spaces, metric graphs, and Hadamard manifolds.' address: 'Mathematical Institute, Tohoku University, Sendai 980-8... | null | 3 | {
"length_ratios": [
0.16312056737588654,
0.22077922077922077,
0.6031746031746031
],
"original_lengths": [
141,
77,
63
],
"paraphrase_lengths": [
23,
17,
38
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 463,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'In this paper, from the viewpoint of the concentration theory of maps, we study a compact group and a Lévy group action to a large class of metric spaces, such as ... |
---
abstract: 'We develop a method for predicting the yield of transiting planets from a photometric survey given the parameters of the survey (nights observed, bandpass, exposure time, telescope aperture, locations of the target fields, observational conditions, and detector characteristics), as well as the underlying... | null | 3 | {
"length_ratios": [
0.25833333333333336,
0.1072961373390558,
0.11282051282051282
],
"original_lengths": [
120,
233,
195
],
"paraphrase_lengths": [
31,
25,
22
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 464,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We develop a method for predicting the yield of transiting planets from a photometric survey given the parameters of the survey (nights observed, bandpass, exposur... |
---
abstract: 'We introduce a novel playlist generation algorithm that focuses on the quality of transitions using a recurrent neural network (RNN). The proposed model assumes that optimal transitions between tracks can be modelled and predicted by internal transitions within music tracks. We introduce modelling sequen... | null | 2 | {
"length_ratios": [
0.3076923076923077,
0.42857142857142855
],
"original_lengths": [
104,
84
],
"paraphrase_lengths": [
32,
36
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 465,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We introduce a novel playlist generation algorithm that focuses on the quality of transitions using a recurrent neural network (RNN). The proposed model assumes th... |
---
author:
- |
Anna Jenčová [^1]\
[Mathematical Institute, Slovak Academy of Sciences,]{}\
[Štefánikova 49, 814 73 Bratislava, Slovakia]{}\
[jenca@mat.savba.sk]{}
title: The structure of strongly additive states and Markov triplets on the CAR algebra
---
Introduction
============
A remarkable propert... | null | 4 | {
"length_ratios": [
0.5517241379310345,
0.25742574257425743,
0.2916666666666667,
1.4411764705882353
],
"original_lengths": [
58,
101,
120,
34
],
"paraphrase_lengths": [
32,
26,
35,
49
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 466,
"most_advantageous_only": 0,
"original_text": "---\nauthor:\n- |\n Anna Jenčová [^1]\\\n [Mathematical Institute, Slovak Academy of Sciences,]{}\\\n [Štefánikova 49, 814 73 Bratislava, Slovakia]{}\\\n [jenca@mat.sa... |
---
abstract: |
Lamperti’s maximal branching process is revisited, with emphasis on the description of the shape of the invariant measures in both the recurrent and transient regimes. A truncated version of this chain is exhibited, preserving the monotonicity of the original Lamperti chain supported by the integers... | null | 2 | {
"length_ratios": [
0.3076923076923077,
0.4146341463414634
],
"original_lengths": [
91,
41
],
"paraphrase_lengths": [
28,
17
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 467,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n Lamperti’s maximal branching process is revisited, with emphasis on the description of the shape of the invariant measures in both the recurrent and transien... |
---
author:
- 'Miles H. Anderson'
- Romain Bouchand
- Junqiu Liu
- Wenle Weng
- |
\
Ewelina Obrzud
- Tobias Herr
- 'Tobias J. Kippenberg'
bibliography:
- 'biblib\_2.bib'
title: 'Photonic chip-based resonant supercontinuum '
---
**Supercontinuum generation in optical fibers is one of the most dramatic nonlinear... | null | 3 | {
"length_ratios": [
1.5925925925925926,
0.09797297297297297,
0.27722772277227725
],
"original_lengths": [
27,
296,
101
],
"paraphrase_lengths": [
43,
29,
28
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 468,
"most_advantageous_only": 0,
"original_text": "---\nauthor:\n- 'Miles H. Anderson'\n- Romain Bouchand\n- Junqiu Liu\n- Wenle Weng\n- |\n \\\n Ewelina Obrzud\n- Tobias Herr\n- 'Tobias J. Kippenberg'\nbibliography:\n- 'bib... |
---
abstract: 'We propose a sample efficient stochastic variance-reduced cubic regularization (Lite-SVRC) algorithm for finding the local minimum efficiently in nonconvex optimization. The proposed algorithm achieves a lower sample complexity of Hessian matrix computation than existing cubic regularization based method... | null | 1 | {
"length_ratios": [
0.03591160220994475
],
"original_lengths": [
724
],
"paraphrase_lengths": [
26
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 469,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We propose a sample efficient stochastic variance-reduced cubic regularization (Lite-SVRC) algorithm for finding the local minimum efficiently in nonconvex optimiz... |
---
abstract: 'A lattice is called well-rounded if its minimal vectors span the corresponding Euclidean space. In this paper we completely describe well-rounded full-rank sublattices of ${\mathbb Z}^2$, as well as their determinant and minima sets. We show that the determinant set has positive density, deriving an expl... | null | 3 | {
"length_ratios": [
0.35233160621761656,
0.14189189189189189,
0.13924050632911392
],
"original_lengths": [
193,
148,
158
],
"paraphrase_lengths": [
68,
21,
22
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 470,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'A lattice is called well-rounded if its minimal vectors span the corresponding Euclidean space. In this paper we completely describe well-rounded full-rank sublatt... |
---
abstract: 'The impact of the incoherent electron-positron pairs from beamstrahlung on the occupancy of the vertex detector (VXD) for the International Large Detector concept (ILD) has been studied, based on the standard ILD simulation tools. The occupancy was evaluated for two substantially different sensor technol... | null | 8 | {
"length_ratios": [
0.2087912087912088,
0.14130434782608695,
0.07734806629834254,
0.09285714285714286,
0.8666666666666667,
0.15254237288135594,
0.31443298969072164,
0.05442176870748299
],
"original_lengths": [
91,
92,
181,
140,
30,
118,
194,
882
]... | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 471,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'The impact of the incoherent electron-positron pairs from beamstrahlung on the occupancy of the vertex detector (VXD) for the International Large Detector concept ... |
---
abstract: 'We examine the dependence of the spatial two-point correlation function of quasars $\xi_{qq}(r,z)$ at different redshifts on the initial power spectrum in flat cosmological models. Quasars at different scales. Quasars are considered as a manifestation of short-term active processes at the centers of thes... | null | 4 | {
"length_ratios": [
0.15469613259668508,
0.18779342723004694,
0.3129251700680272,
1
],
"original_lengths": [
181,
213,
147,
13
],
"paraphrase_lengths": [
28,
40,
46,
13
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 472,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We examine the dependence of the spatial two-point correlation function of quasars $\\xi_{qq}(r,z)$ at different redshifts on the initial power spectrum in flat co... |
---
author:
- 'Á. Sánchez-Monge'
- 'R. Cesaroni' & 'M. T. Beltrán'
- 'M. S. W. Lee' 'T. Stanke'
- 'H. Zinnecker' 'W 'S. Etoka' D. Galli' <unk> 'M 'D. Galli' , 'C. A. Hummel'
- 'L. Moscadelli'
- 'T. Preibisch' ' : 'F. Moschka' 'T. Ratzka' & 'F. F. S. van der Tak'
- 'S. Vig'
- 'C. M. , 1999; ) – (Ob-grade) stars ( (i.e. ... | null | 10 | {
"length_ratios": [
1.2592592592592593,
1,
0.7777777777777778,
1.0625,
2.4166666666666665,
1,
1.9375,
1,
0.14028776978417265,
0.3161290322580645
],
"original_lengths": [
27,
15,
18,
16,
12,
12,
16,
13,
278,
155
],
"paraphrase_len... | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 473,
"most_advantageous_only": 0,
"original_text": "---\nauthor:\n- 'Á. Sánchez-Monge'\n- 'R. Cesaroni'\n- 'M. T. Beltrán'\n- 'M. S. N. Kumar'\n- 'T. Stanke'\n- 'H. Zinnecker'\n- 'S. Etoka'\n- 'D. Galli'\n- 'C. A. Hummel'\n- 'L. Mo... |
---
author:
- '${}^{1,2}$Yoshiaki Maeda, ${}^3$ Akifumi Sako, ${}^4$ Toshiya Suzuki and ${}^4$ Hiroshi Umetsu'
title: Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
---
[ ${}^{1}$ Department of Mathematics, Faculty of Science and Technology, Keio University\
3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-85... | null | 5 | {
"length_ratios": [
0.10096153846153846,
0.5185185185185185,
2.5714285714285716,
0.1111111111111111,
0.7105263157894737
],
"original_lengths": [
416,
27,
35,
198,
76
],
"paraphrase_lengths": [
42,
14,
90,
22,
54
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 474,
"most_advantageous_only": 0,
"original_text": "---\nauthor:\n- '${}^{1,2}$Yoshiaki Maeda, ${}^3$ Akifumi Sako, ${}^4$ Toshiya Suzuki and ${}^4$ Hiroshi Umetsu'\ntitle: Gauge Theories in Noncommutative Homogeneous Kähler Mani... |
---
abstract: 'Using Monte Carlo simulation, we study the influence of geometric confinement on demixing for a series of symmetric non-additive hard spheres mixtures confined in slit pores. We consider both a wide range of positive non-additivities and a series of pore widths, ranging from the pure two dimensional limi... | null | 5 | {
"length_ratios": [
0.8208955223880597,
0.3819444444444444,
0.051630434782608696,
0.1891891891891892,
0.9615384615384616
],
"original_lengths": [
67,
288,
368,
185,
52
],
"paraphrase_lengths": [
55,
110,
19,
35,
50
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 475,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Using Monte Carlo simulation, we study the influence of geometric confinement on demixing for a series of symmetric non-additive hard spheres mixtures confined in ... |
---
bibliography:
- 'paper.bib'
---
| null | 0 | {
"length_ratios": [],
"original_lengths": [],
"paraphrase_lengths": []
} | null |
Introduction
============
In a recent experiment [@CSR99], a strongly isolated quantum dot was charged with excess electrons, and their sequential escapes were recorded over a one hour time period. This was repeated 150 times to obtain a statistical distribution of decay times. The dot is formed in an electron gas loc... | null | 4 | {
"length_ratios": [
0.8627450980392157,
0.1875,
0.5945945945945946,
0.3448275862068966
],
"original_lengths": [
51,
96,
37,
58
],
"paraphrase_lengths": [
44,
18,
22,
20
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 477,
"most_advantageous_only": 0,
"original_text": "Introduction\n============\n\nIn a recent experiment [@CSR99], a strongly isolated quantum dot was charged with excess electrons, and their sequential escapes were recorded over a... |
---
abstract: 'Microscopic structure of the low-lying isovector dipole excitation mode in neutron-rich $^{26,28,30}$Ne is investigated by performing deformed quasiparticle-random-phase-approximation (QRPA) calculations. The particle-hole residual interaction is derived from a Skyrme force through a Landau-Migdal approx... | null | 3 | {
"length_ratios": [
0.25,
0.46835443037974683,
0.6666666666666666
],
"original_lengths": [
116,
79,
33
],
"paraphrase_lengths": [
29,
37,
22
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 478,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Microscopic structure of the low-lying isovector dipole excitation mode in neutron-rich $^{26,28,30}$Ne is investigated by performing deformed quasiparticle-random... |
---
abstract: 'We study a variant of a problem considered by Dinaburg and Sinaĭ on the statistics of the minimal solution to a linear Diophantine equation. We show that the signed ratio between the Euclidean norms of the minimal solution and the coefficient vector is uniformly distributed modulo one. We False group.' a... | null | 1 | {
"length_ratios": [
0.09876543209876543
],
"original_lengths": [
162
],
"paraphrase_lengths": [
16
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 479,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We study a variant of a problem considered by Dinaburg and Sinaĭ on the statistics of the minimal solution to a linear Diophantine equation. We show that the signe... |
---
abstract: 'A classical theory of general relativity in the $4$-dimensional space time is formulated as a Chern–Weil topological theory. An Einstein–Hilbert gravitational action is shown to be invariant with respect to a novel translation (co-translation) operator up to total derivative, and thus a topological invar... | null | 3 | {
"length_ratios": [
0.2676056338028169,
0.33663366336633666,
0.7777777777777778
],
"original_lengths": [
142,
101,
54
],
"paraphrase_lengths": [
38,
34,
42
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 480,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'A classical theory of general relativity in the $4$-dimensional space time is formulated as a Chern–Weil topological theory. An Einstein–Hilbert gravitational acti... |
---
abstract: 'We study the semidirect product of a Lie algebra with a representation up to homotopy and provide various examples coming from Courant algebroids, string Lie 2-algebras, and omni-Lie algebroids. In the end, we study the semidirect product of a Lie group with a representation up to homotopy and use it to ... | null | 5 | {
"length_ratios": [
0.0525328330206379,
0.43956043956043955,
0.6986301369863014,
0.2956521739130435,
0.1978021978021978
],
"original_lengths": [
533,
91,
73,
115,
91
],
"paraphrase_lengths": [
28,
40,
51,
34,
18
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 481,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We study the semidirect product of a Lie algebra with a representation up to homotopy and provide various examples coming from Courant algebroids, string Lie 2-alg... |
---
abstract: 'Galaxy clusters have long been theorised to quench the star-formation of their members. This study uses integral-field unit observations from the $K$-band Multi-Object Spectrograph (KMOS) - Cluster Lensing And Supernova survey with *Hubble* (CLASH) survey (K-CLASH) to search for evidence of quenching in ... | null | 1 | {
"length_ratios": [
0.06321839080459771
],
"original_lengths": [
348
],
"paraphrase_lengths": [
22
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 482,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Galaxy clusters have long been theorised to quench the star-formation of their members. This study uses integral-field unit observations from the $K$-band Multi-Ob... |
---
abstract: 'The charged current antikaon production off nucleons induced by antineutrinos is studied at low and intermediate energies. We extend here our previous calculation on kaon production induced by neutrinos. We have developed a microscopic model that starts from the SU(3) chiral Lagrangians and includes back... | null | 2 | {
"length_ratios": [
1.2307692307692308,
0.07773851590106007
],
"original_lengths": [
13,
283
],
"paraphrase_lengths": [
16,
22
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 483,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'The charged current antikaon production off nucleons induced by antineutrinos is studied at low and intermediate energies. We extend here our previous calculation ... |
---
abstract: |
The physical model describing the influence of the electronic subsystem on the properties of one-dimensional chains of metal is presented. It is shown that depending on an interaction potential between atoms in one-dimensional system formation of chains of various length is possible. In case the cha... | null | 4 | {
"length_ratios": [
0.10576923076923077,
0.1148936170212766,
0.7,
0.6351351351351351
],
"original_lengths": [
312,
235,
20,
74
],
"paraphrase_lengths": [
33,
27,
14,
47
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 484,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n The physical model describing the influence of the electronic subsystem on the properties of one-dimensional chains of metal is presented. It is shown that d... |
---
abstract: 'We present near-infrared integral field spectroscopy data obtained with VLT/SINFONI of “the Teacup galaxy”. The data . Thus the data confirm the presence of the nuclear ionized outflow previously detected in the optical and reveal its coronal counterpart. Both the ionized and coronal nuclear outflows are... | null | 5 | {
"length_ratios": [
0.035842293906810034,
0.23958333333333334,
0.07589285714285714,
0.3813559322033898,
0.29213483146067415
],
"original_lengths": [
279,
192,
224,
118,
178
],
"paraphrase_lengths": [
10,
46,
17,
45,
52
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 485,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We present near-infrared integral field spectroscopy data obtained with VLT/SINFONI of “the Teacup galaxy”. The nuclear K-band (1.95–2.45 ) spectrum of this radio-... |
\#1 \#1
=
harvmac =[ ]{} \#1\#2[\#1\#2==]{}\#1
**Abstract**
\#1
=cmr10 =cmr7 =cmr5 =cmmi10 =cmmi7 =cmmi5 =cmsy10 =cmsy7 =cmsy5 =cmti10 =’177 =’177 =’177 =’60 =’60 =’60 \#1[\#1\^]{} \#1[[e]{}\^[\^[\#1]{}]{}]{} \#1\#2[\^[\#1]{}\_[\#2]{}]{} /\#1[/]{} \#1 \#1\#2 \#1[\_[[\#1]{}]{}]{} \#1\#2[\_[[\#1]{}]{}\_[[\#2]{}]{}]{... | null | 5 | {
"length_ratios": [
0.8928571428571429,
0.6136363636363636,
0.9166666666666666,
0.6944444444444444,
0.9506172839506173
],
"original_lengths": [
28,
44,
36,
36,
81
],
"paraphrase_lengths": [
25,
27,
33,
25,
77
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 486,
"most_advantageous_only": 0,
"original_text": "\\#1 \\#1\n\n=\n\nharvmac =[ ]{} \\#1\\#2[\\#1\\#2==]{}\\#1\n\n**Abstract**\n\n\\#1\n\n=cmr10 =cmr7 =cmr5 =cmmi10 =cmmi7 =cmmi5 =cmsy10 =cmsy7 =cmsy5 =cmti10 =’177 =’177 =’177 =’6... |
---
abstract: 'We report on the crystal structure, physical properties and electronic structure calculations for the ternary pnictide compound EuCr$_{2}$As$_{2}$. X-ray diffraction studies confirmed that EuCr$_{2}$As$_{2}$ crystalizes in the ThCr$_{2}$Si$_{2}$-type tetragonal structure (space group *I4/mmm*). The Eu-io... | null | 6 | {
"length_ratios": [
1,
0.5789473684210527,
0.0783289817232376,
0.09905660377358491,
0.06333333333333334,
0.484375
],
"original_lengths": [
13,
19,
383,
212,
300,
64
],
"paraphrase_lengths": [
13,
11,
30,
21,
19,
31
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 487,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We report on the crystal structure, physical properties and electronic structure calculations for the ternary pnictide compound EuCr$_{2}$As$_{2}$. X-ray diffracti... |
---
abstract: 'Bilayer graphene can exhibit deformations such that the two graphene sheets are locally detached from each other resulting in a structure consisting of domains with different inter-layer coupling. Here we investigate how the presence of these domains affect the transport properties of bilayer graphene. W... | null | 3 | {
"length_ratios": [
1,
0.3333333333333333,
0.9411764705882353
],
"original_lengths": [
14,
87,
34
],
"paraphrase_lengths": [
14,
29,
32
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 488,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Bilayer graphene can exhibit deformations such that the two graphene sheets are locally detached from each other resulting in a structure consisting of domains wit... |
---
abstract: 'A capacity bounded grammar is a grammar whose derivations are restricted by assigning a bound to the number of every nonterminal symbol in the sentential forms. In the paper the generative power and closure properties of capacity bounded grammars and their Petri net controlled counterparts are investigat... | null | 3 | {
"length_ratios": [
0.2100456621004566,
0.23809523809523808,
0.16853932584269662
],
"original_lengths": [
219,
105,
89
],
"paraphrase_lengths": [
46,
25,
15
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 489,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'A capacity bounded grammar is a grammar whose derivations are restricted by assigning a bound to the number of every nonterminal symbol in the sentential forms. In... |
---
abstract: |
We consider the problem of maintaining a dynamic set of integers and answering queries of the form: report a point (equivalently, all points) in a given interval. Range searching is a natural and fundamental variant of integer search, and can be solved using predecessor search. However, for a RAM wi... | null | 5 | {
"length_ratios": [
0.9333333333333333,
0.08056872037914692,
0.44,
0.6046511627906976,
1
],
"original_lengths": [
15,
422,
75,
86,
17
],
"paraphrase_lengths": [
14,
34,
33,
52,
17
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 490,
"most_advantageous_only": 0,
"original_text": "---\nabstract: |\n We consider the problem of maintaining a dynamic set of integers and answering queries of the form: report a point (equivalently, all points) in a given inte... |
[**[Old Galaxies in the Young Universe]{}**]{}
[**[A. Cimatti$^1$, E. Daddi$^2$, A. Renzini$^2$, P. Cassata$^3$, E. Vanzella$^{3}$, L. Pozzetti$^4$, S. Cristiani$^5$, A. Fontana$^6$, G. Rodighiero$^3$, M. Mignoli$^4$, G. Zamorani$^4$ ]{}**]{}\
$^1$ INAF - Osservatorio Astrofisico di Arcetri, Largo E. Fermi 5, I-50125... | null | 0 | {
"length_ratios": [],
"original_lengths": [],
"paraphrase_lengths": []
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 491,
"most_advantageous_only": 0,
"original_text": "[**[Old Galaxies in the Young Universe]{}**]{}\n\n[**[A. Cimatti$^1$, E. Daddi$^2$, A. Renzini$^2$, P. Cassata$^3$, E. Vanzella$^{3}$, L. Pozzetti$^4$, S. Cristiani$^5$, A. Fontan... |
---
abstract: 'Recently, Odrzywolek and Rafelski [@exoplanetclass] have found three distinct categories of exoplanets, when they are classified based on density. We first carry out a similar classification of exoplanets according to their density using the Gaussian Mixture Model, followed by information theoretic crite... | null | 4 | {
"length_ratios": [
0.21717171717171718,
0.15789473684210525,
0.05026455026455026,
0.05944055944055944
],
"original_lengths": [
198,
114,
378,
286
],
"paraphrase_lengths": [
43,
18,
19,
17
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 492,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Recently, Odrzywolek and Rafelski [@exoplanetclass] have found three distinct categories of exoplanets, when they are classified based on density. We first carry o... |
---
abstract: 'Synthetic ladders realized with one-dimensional alkaline-earth(-like) fermionic gases and subject to a gauge field represent a promising environment for the investigation of quantum Hall physics with ultracold atoms. Using density-matrix renormalization group calculations, we study how the quantum Hall-l... | null | 6 | {
"length_ratios": [
1,
1.1764705882352942,
0.2857142857142857,
2.923076923076923,
1.0666666666666667,
0.6410256410256411
],
"original_lengths": [
739,
34,
63,
13,
30,
39
],
"paraphrase_lengths": [
739,
40,
18,
38,
32,
25
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 493,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Synthetic ladders realized with one-dimensional alkaline-earth(-like) fermionic gases and subject to a gauge field represent a promising environment for the invest... |
---
abstract: 'We present two new constructions of quantum hash functions: the first based on expander graphs and the second based on extractor functions and estimate the amount of randomness that is needed to construct them. We also propose a keyed quantum hash function based on extractor function that can be used in ... | null | 8 | {
"length_ratios": [
1.2307692307692308,
0.4489795918367347,
0.15517241379310345,
1.308641975308642,
0.3,
0.4,
0.30303030303030304,
0.28368794326241137
],
"original_lengths": [
13,
98,
116,
81,
80,
110,
99,
141
],
"paraphrase_lengths": [
16,
... | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 494,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We present two new constructions of quantum hash functions: the first based on expander graphs and the second based on extractor functions and estimate the amount ... |
---
abstract: 'We study how unique features of non-Hermitian lattice systems can be harnessed to improve Hamiltonian parameter estimation in a fully quantum setting. While the so-called non-Hermitian skin effect does not provide any distinct advantage, alternate effects yield dramatic enhancements. We show that certain... | null | 5 | {
"length_ratios": [
1.0869565217391304,
0.24509803921568626,
0.2,
0.24120603015075376,
0.10416666666666667
],
"original_lengths": [
23,
102,
230,
199,
144
],
"paraphrase_lengths": [
25,
25,
46,
48,
15
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 495,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'We study how unique features of non-Hermitian lattice systems can be harnessed to improve Hamiltonian parameter estimation in a fully quantum setting. While the so... |
---
abstract: 'A *binary frame template* is a device for creating binary matroids from graphic or cographic matroids. Such matroids are said to *conform* or *coconform* to the template. We introduce a preorder on these templates and determine the nontrivial templates that are minimal with respect to this order. As an a... | null | 2 | {
"length_ratios": [
0.45,
0.36
],
"original_lengths": [
60,
75
],
"paraphrase_lengths": [
27,
27
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 496,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'A *binary frame template* is a device for creating binary matroids from graphic or cographic matroids. Such matroids are said to *conform* or *coconform* to the te... |
---
abstract: '[We report a strong thickness dependence of the complex frequency-dependent optical dielectric function $\widetilde{\epsilon}(\omega)$ over a spectral range from 1.24 to 5 eV in epitaxial CaMnO$_3$(001) thin films on SrTiO$_3$(001), LaAlO$_3$(001), and SrLaAlO$_4$(001). A doubling of the peak value of th... | null | 3 | {
"length_ratios": [
0.6551724137931034,
0.2261904761904762,
0.32142857142857145
],
"original_lengths": [
29,
168,
112
],
"paraphrase_lengths": [
19,
38,
36
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 497,
"most_advantageous_only": 0,
"original_text": "---\nabstract: '[We report a strong thickness dependence of the complex frequency-dependent optical dielectric function $\\widetilde{\\epsilon}(\\omega)$ over a spectral range fro... |
---
abstract: 'Ubiquitous sensing devices frequently disseminate data among them. The use of a distributed event-based system that decouples publishers from subscribers arises as an ideal candidate to implement the dissemination process. In this paper, we present a network architecture that merges the network and overl... | null | 4 | {
"length_ratios": [
0.20754716981132076,
0.5777777777777777,
0.6388888888888888,
0.14150943396226415
],
"original_lengths": [
159,
90,
72,
106
],
"paraphrase_lengths": [
33,
52,
46,
15
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 498,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Ubiquitous sensing devices frequently disseminate data among them. The use of a distributed event-based system that decouples publishers from subscribers arises as... |
---
abstract: 'Let $S_k$ be the set of separable states on $\B(\C^m \otimes \C^n)$ admitting a representation as a convex combination of $k$ pure product states, or fewer. If $m>1, n> 1$, and $k \le \max{(m,n)}$, we show that $S_k$ admits a subset $V_k$ such that $V_k$ is dense and open in $S_k$, and such that each sta... | null | 1 | {
"length_ratios": [
0.08854166666666667
],
"original_lengths": [
192
],
"paraphrase_lengths": [
17
]
} | {
"alpha": 0.4,
"baseline_model": "meta-llama/Meta-Llama-3-8B",
"document_id": 499,
"most_advantageous_only": 0,
"original_text": "---\nabstract: 'Let $S_k$ be the set of separable states on $\\B(\\C^m \\otimes \\C^n)$ admitting a representation as a convex combination of $k$ pure product states, or fewer. If... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.