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--- abstract: 'Using density functional theory we demonstrate that superconductivity in C$_6$Ca is due to a phonon-mediated mechanism with electron-phonon coupling $\lambda=0.83$ and phonon-frequency logarithmic-average $\langle \omega \rangle=24.7$ meV. The calculated isotope exponents are $\alpha({\rm Ca})=0.24$ and ...
{ "pile_set_name": "ArXiv" }
--- abstract: 'Set-coloring a graph means giving each vertex a subset of a fixed color set so that no two adjacent subsets have the same cardinality. When the graph is complete one gets a new distribution problem with an interesting generating function. We explore examples and generalizations.' address: | Departmen...
{ "pile_set_name": "ArXiv" }
--- abstract: 'We report on the temperature dependence of microwave-induced resistance oscillations in high-mobility two-dimensional electron systems. We find that the oscillation amplitude decays exponentially with increasing temperature, as $\exp(-\alpha T^2)$, where $\alpha$ scales with the inverse magnetic field. T...
{ "pile_set_name": "ArXiv" }
--- abstract: 'In robotics, methods and softwares usually require optimizations of hyperparameters in order to be efficient for specific tasks, for instance industrial bin-picking from homogeneous heaps of different objects. We present a developmental framework based on long-term memory and reasoning modules (Bayesian ...
{ "pile_set_name": "ArXiv" }
--- abstract: 'This paper presents a detailed study of excess line broadening in EUV emission lines during the impulsive phase of a C-class solar flare. In this work, which utilizes data from the EUV Imaging Spectrometer (EIS) onboard Hinode, the broadened line profiles were observed to be co-spatial with the two HXR f...
{ "pile_set_name": "ArXiv" }
"---\nabstract: 'In recent years, it has become common practice in neuroscience to use networks to s(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"---\nabstract: 'While many-particle entanglement can be found in natural solids and strongly intera(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"---\nabstract: 'Monte Carlo simulations and finite-size scaling analysis have been performed to stu(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"---\nabstract: 'Building on the success of Quantum Monte Carlo techniques such as diffusion Monte C(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
"---\nabstract: 'We consider a multi-level system coupled to a bosonic measurement apparatus. We der(...TRUNCATED)
{ "pile_set_name": "ArXiv" }
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Sample of the arxiv partition of The Pile.

  • The training set is just a random sample of 1000 documents from the 00.jsonl.zst (the first file in The Pile; it seems each jsonl.zst file is already a random sample).
  • The validation and test set are the full sets.

Statistics

Training Set

  • Mean number of tokens: 14588.022
  • Std number of tokens: 26015.51379449416
  • Max number of tokens: 746616
  • Min number of tokens: 33
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