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text stringlengths 1 1.03M | id stringlengths 1 7.38k | metadata dict |
|---|---|---|
\section{Introduction}
Our main result is the following.
\begin{theorem}\label{thm:general_three_col}
For any planar convex body $C$ there is a positive integer $m=m(C)$ such that any finite point set $P$ in the plane can be three-colored in a way that there is no translate of $C$ containing at least $m$ points of $... | proofpile-arXiv_065-54 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
One of the most significant incentives for recent research on movement assessment, is the availability of affordable 3D skeleton recognition devices, such as Kinect, which redefine the target audience of applications that are based on user pose and movement. Addressing this problem is considered ... | proofpile-arXiv_065-150 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
\label{sec: intro}
Gauge models with anomaly are interesting from different points of view.
First, there is a problem of consistent quantization for these models.
Due to anomaly some constraints change their nature after quantization:
instead of being first-class constraints, they turn into se... | proofpile-arXiv_065-366 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{ Introduction }
There has been a strong revival of interest, recently, in the physics
of magnetic vortices in type II and high-temperature superconductors
\cite{reviews}. Most research efforts have been devoted to phenomena
relating to the nature of the mixed phase of a superconductor in some
externally a... | proofpile-arXiv_065-369 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section{Introduction}
The precision data collected to date have confirmed the
Standard Model to be a good description of physics below
the electroweak scale \cite{Schaile}.
Despite of its great success, there are many reasons to believe
that some kind of new physics must exist. On the other hand, the
non-abelian st... | proofpile-arXiv_065-424 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
\section*{References}
| proofpile-arXiv_065-562 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
"\\section{Introduction}\n\nSystems producing absorption in the spectra of distant quasars offer\nan(...TRUNCATED) | proofpile-arXiv_065-612 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
"\\section{Introduction}\n\nMany ``connection-dynamic'' theories of gravity with propagating torsion(...TRUNCATED) | proofpile-arXiv_065-650 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
"\\section{Introduction}\n\nBefore we can use our Galaxy as a tool for the interaction of cosmic ray(...TRUNCATED) | proofpile-arXiv_065-783 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
"\\section{Introduction}\nThe problem of transmission and storage of quantum states has received\na (...TRUNCATED) | proofpile-arXiv_065-865 | {
"file_path": "/home/ubuntu/dolma-v1_7/algebraic-stack-train-0000.json.gz"
} |
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This dataset is a 1% sample of Dolma v1.7, equating to around ~30B tokens and uploaded directly as a Hugging Face dataset.
As a pure sample, it maintains the ODC-BY license.
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