source stringclasses 1
value | date int32 2.01k 2.01k | text stringlengths 202 1.36M | token_count int32 46 394k | category stringclasses 1
value |
|---|---|---|---|---|
redpajama_arxiv | 2,007 | Introduction
Local invariants of a metric in Riemannian geometry are quantities
expressible in local coordinates in terms of the metric and its derivatives
and which have an invariance property under changes of coordinates.
It is a fundamental fact that such invariants may be written in terms of
the
curvature tenso... | 18,754 | academic |
redpajama_arxiv | 2,007 | introduction
Throughout the paper, M will denote a closed orientable 3-manifold.
The Reshetikhin-Turaev-Witten SU(2) -invariants of M are
complex valued numbers (, ) parametrized by positive integers (levels).
Given a positive integer rN , let _r(M) denote the
SU(2) invariant of
M at level r . In the case that M is... | 4,471 | academic |
redpajama_arxiv | 2,007 | The AMS-02 experiment
The Alpha Magnetic Spectrometer (AMS), whose final version
AMS-02 is to be installed on the International Space Station (ISS) for at
least 3 years, is a detector designed to study the cosmic ray flux by
direct detection of particles above the Earth's atmosphere using
state-of-the-art particle ide... | 2,684 | academic |
redpajama_arxiv | 2,007 | Introduction
In our recent paper we introduced a general algebraic geometrical framework underlying the structure of the
generalized Pauli group associated with a specific single d -dimensional qudit. The backbone of this framework is the bijection between sets of operators/matrices of the group and vectors over the m... | 6,145 | academic |
redpajama_arxiv | 2,007 | Introduction
The preparation of the DCR has been started since LCWS2006 at Bangalore.
Four editors for the detector part, Ties Behnke, Chris Damerell, John Jaros and Akiya Miyamoto,
have worked together with authors of sub-sections to prepare the document.
The preliminary version has been open to the community after ... | 6,441 | academic |
redpajama_arxiv | 2,007 | Introduction
A popular formation scenario for early-type
galaxies is the collision and merger of two roughly
equal-mass galaxies with mass ratios between 1:1 and 4:1. This
famous major merger scenario has
been very successful in explaining observed properties of
ellipticals, like their kinematics, surface density prof... | 5,127 | academic |
redpajama_arxiv | 2,007 | Introduction
Supersymmetry is one of the main subjects in the particle physics.
The supersymmetric gauge
theories exhibits a variety of complex non-perturbative phenomena
which have been vigorously investigated.
For example, there are many analytic studies about the
Seiberg-Witten theory and AdS/CFT
duality .
Such ... | 3,967 | academic |
redpajama_arxiv | 2,007 | "Introduction\n\n \n\nIn diffractive electron-proton scattering, the proton loses a small \nfraction(...TRUNCATED) | 6,167 | academic |
redpajama_arxiv | 2,007 | "Acknowledgments\n\nThe authors wish to thank B. Metsch for fruitful\ndiscussions and for carefully (...TRUNCATED) | 63 | academic |
redpajama_arxiv | 2,007 | "General Notion\n\nThe notion of superselection rule (henceforth \nabbreviated SSR) was introduced i(...TRUNCATED) | 5,644 | academic |
End of preview. Expand in Data Studio
No dataset card yet
- Downloads last month
- 24