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value | date int32 2.01k 2.01k | text stringlengths 200 1.69M | token_count int32 35 1.2M | category stringclasses 1
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redpajama_arxiv | 2,010 | Introduction and preliminaries
Let n N^* . An operator space X is called
n - minimal if there exists a compact Hausdorf space
and a completely isometric map i:X C(,M_n) . The
readers are referred to and for details on
operator space theory. Recall that the C^* -algebra
C(,M_n) can be identified * -isomor\-ph... | 11,513 | academic |
redpajama_arxiv | 2,010 | Introduction and statements
In what follows a tensor category is understood to be an ACU -category in the sense of Saavedra Rivano . We denote the unit object by 1 , the commutativity constraint by , and the tensor structure by . There is also an associativity constraint that we omit and all these constraints are subj... | 1,828 | academic |
redpajama_arxiv | 2,010 | Introduction
Long-term ( 20 years) optical light curves are still available only for a relatively small number of Active Galactic Nuclei (AGN) and Blazars.
Pioneering work in this field was made by several authors (Pica et al. 1988; Webb et al. 1988) on relatively large samples of sources over a time window of about 2... | 7,219 | academic |
redpajama_arxiv | 2,010 | Introduction
One of the goals of complexity theory is to understand the structural properties of different models of computation. A fundamental question that can be asked in every model of computation is how well different computations may be combined. Can we achieve substantial savings when solving the same problem o... | 4,639 | academic |
redpajama_arxiv | 2,010 | Introduction
An edge ideal I_H is an ideal in a polynomial ring generated by squarefree monomials of a fixed degree d (the generators can be thought of as edges of a d -uniform hypergraph H , hence the name). The study of edge ideals has recently enjoyed a surge of activity, and the most well-known results in this ... | 9,742 | academic |
redpajama_arxiv | 2,010 | "Introduction. Phenomenology of quantum vacuum\n\nVacuum as macroscopic many-body system\n\nThe aeth(...TRUNCATED) | 21,323 | academic |
redpajama_arxiv | 2,010 | "Introduction\n\nRecently, \n analyzed \nCMB fluctuations on directions of X-ray galaxy clusters and(...TRUNCATED) | 4,262 | academic |
redpajama_arxiv | 2,010 | "INTRODUCTION\n\nOur Galaxy hosts a supermassive black hole (BH) with a mass M=4.510^6 M_ \n at a di(...TRUNCATED) | 4,875 | academic |
redpajama_arxiv | 2,010 | "Introduction\n\nA full understanding of how stars form, both in the Milky Way and in\nother galaxie(...TRUNCATED) | 20,261 | academic |
redpajama_arxiv | 2,010 | "Introduction\n\n The high baryon densities of neutron-star cores makes this natural environment a s(...TRUNCATED) | 2,736 | academic |
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