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source string | date int32 | text string | token_count int32 | category string |
|---|---|---|---|---|
redpajama_arxiv | 2,013 | Introduction
Lattice quantum chromodynamics (LQCD)
is evolving into a quantitative tool with which to describe the low-energy dynamics of
few-body hadronic systems.
After fully quantifying both the statistical and systematic uncertainties that are inherent in LQCD calculations,
the masses of the lowest-lying had... | 9,085 | academic |
redpajama_arxiv | 2,013 | Polynomial regression
The polynomial regression technique is based on the OLS computation of the coefficients in the formal truncated series expansion of degree m
y_i=_0+_1x_i+_2x_i^2++_mx_i^m+_i\,\,_i\,iid(0,^2)\,,\,i=1,2,,n
or in matrix form
y=X+ , |X(0,^2I_m+1)
which has the well known OLS soluti... | 1,727 | academic |
redpajama_arxiv | 2,013 | Introduction
The discovery of the first galaxies to assemble in the Universe has long been one of the most exciting challenges of observational cosmology. The identification of these high-redshift sources in deep blank fields relies mostly on the photometric detection of the IGM absorption blueward , or the Lyman b... | 5,460 | academic |
redpajama_arxiv | 2,013 | Introduction
The source1A 0535 + 262 is one of the best-studied high mass
X-ray binaries (HMXBs) of the Galaxy. The system hosts a Be star
and a neutron star in an eccentric orbit with e0.47
and orbital period of 111 \,d . The neutron star is an
accreting pulsar with spin period of 103.3 s , which
exhibits outburst... | 7,292 | academic |
redpajama_arxiv | 2,013 | Introduction
Recent advances in thin-film growth technique make it possible to achieve delicate control of
oxide interfaces in the atomic scale, so as to bring
an extra dimension to the physics of transition-metal oxide systems.
LaAlO _3 -SrTiO _3 (LAO-STO) heterostructure is a typical example,
which exhibits either ... | 4,985 | academic |
redpajama_arxiv | 2,013 | Introduction
The gauge/gravity
duality allows
us to map a strongly interacting quantum field theory to a weakly
coupled gravity theory living in a higher dimensional spacetime. The
applications of the gauge/gravity duality have been extended to various
fields in recent years, especially in condensed matter
phy... | 6,637 | academic |
redpajama_arxiv | 2,013 | Motivation
In lattice gauge theory, we often encounter situations that _5 hermiticity cannot be preserved, e.g., finite density theory, supersymmetric theory, and so on.
Since _5 hermiticity is needed for reality of Dirac determinant, most of the observables are complex numbers in the case.
In _5 hermiticity broken th... | 2,570 | academic |
redpajama_arxiv | 2,013 | Introduction
A cornucopia of applications in machine learning and related areas involve
large-scale graphs. Towards analyzing such graphs a basic step is that of
obtain certain summary statistics. For example, we might want to know what
might be the expected length of a shortest path between two nodes, or what is
the ... | 3,561 | academic |
redpajama_arxiv | 2,013 | "INTRODUCTION\nThe starting point of the theory of linear operator ideals is the fundamental work of(...TRUNCATED) | 15,423 | academic |
redpajama_arxiv | 2,013 | "Introduction\n\n\r\nThe local geometry of a simple random walk on a step by step basis is so simple(...TRUNCATED) | 34,544 | academic |
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