source stringclasses 1
value | date int32 2.01k 2.01k | text stringlengths 202 902k | token_count int32 39 260k | category stringclasses 1
value |
|---|---|---|---|---|
redpajama_arxiv | 2,005 | Introduction
This work has been motivated by a search for new ways of constructing multiple Riemann waves for nonlinear hyperbolic systems. Riemann waves and their superpositions were first studied two
centuries ago in connection with differential equations describing
a compressible isothermal gas flow, by D. Poisson ... | 8,858 | academic |
redpajama_arxiv | 2,005 | Introduction
Let be a smoothly embedded surface in a simply connected smooth 4-manifold, and assume that has nonnegative self-intersection number n and satisfies
_1(X )=0 . Given a knot K in S^3 and a nontrivial loop C on
, one can perform `rim surgery' by choosing a trivialization C D^2 of the normal bundle of r... | 1,426 | academic |
redpajama_arxiv | 2,005 | Introduction and results
Singularity analysis is a highly successful tool for asymptotic
enumeration of combinatorial structures ,
once we have a sufficiently good description of the corresponding
exponential or ordinary generating functions.
If we want to count unlabeled structures, i.e., if we count the
structure... | 15,016 | academic |
redpajama_arxiv | 2,005 | The Iclust\/ algorithm
Although clustering is a widely used method of data analysis and exploration, there is at present no unique or universal mathematical formulation of the clustering problem. In practice, clustering a given data set involves
many choices at different levels of the analysis.
In recent work we sugge... | 11,263 | academic |
redpajama_arxiv | 2,005 | Introduction
By a classical result of Wang a connected
compact complex manifold X
has holomorphically trivial tangent bundle if and only if there is
a connected complex Lie group G and a discrete subgroup such that
X is biholomorphic to the quotient manifold G/ .
In particular X is homogeneous.
If X is K\"ahler, G m... | 7,145 | academic |
redpajama_arxiv | 2,005 | Introduction
Let X be a K3 surface defined over an algebraically closed field. By definition, the irregularity of X
vanishes and there exists a unique (up to constants) non-zero regular 2-form on X .
An automorphism g of X is called symplectic if g fixes a non-zero
regular 2-form on X . In case of complex K3 surfaces... | 5,183 | academic |
redpajama_arxiv | 2,005 | Introduction
Much effort has been made toward understanding the medium effects in
s_NN \ = 200 GeV Au+Au collisions at RHIC via jet properties
extracted from correlations in di-hadron azimuthal opening angle.
Initially these results included the observation of quenching,
, and later broadening in the very
low momentu... | 1,278 | academic |
redpajama_arxiv | 2,005 | "Introduction\n\nCondensed DNA exists in a rich variety of phases and mesophases. \nMolecular assemb(...TRUNCATED) | 25,461 | academic |
redpajama_arxiv | 2,005 | "Introduction\n\nAbrupt ejection of thermal energy and particles from a magnetized high-temperature (...TRUNCATED) | 7,167 | academic |
redpajama_arxiv | 2,005 | "Introduction\n\nIn article Don Page has presented the forcible\nargument that the lifetime of the d(...TRUNCATED) | 4,067 | academic |
End of preview. Expand in Data Studio
No dataset card yet
- Downloads last month
- 32