source stringclasses 1
value | date int32 2.01k 2.01k | text stringlengths 200 5.7M | token_count int32 40 1.47M | category stringclasses 1
value |
|---|---|---|---|---|
redpajama_arxiv | 2,012 | Introduction
The main result of this paper demonstrates that the interpolation theorem fails in the
intuitionistic logic of constant domains.
This shows that two previously published proofs of
the interpolation property are incorrect.
The model theory for the intuitionistic logic of constant domains
() was proposed... | 7,844 | academic |
redpajama_arxiv | 2,012 | Introduction
Multifield inflation models gathered a lot of attention recently, motivated by both top-down and bottom-up concerns. Many people suggested that slowroll inflation can happen at an environment where more than one fields are dynamically important, based on UV considerations like supersymmetry and some speci... | 3,202 | academic |
redpajama_arxiv | 2,012 | Supplemental material
In the following formulas we have followed the convention of using hats for many-body operators, e.g. U , and tildes for one-particle operators, e.g. . A many-body operator B can be obtained from a one-particle operator B as
Exact Diagonalization
Block diagonalization
The Exact Diagonalization... | 5,946 | academic |
redpajama_arxiv | 2,012 | Introduction
Ground-based spectroscopic observations
began at once with the launch of the CoRoT satellite.
They involve several high-resolution \'echelle spectrographs: FEROS and
HARPS at ESO-La Silla (Chile), FOCES at Calar Alto (Spain), SOPHIE at the
Observatoire Haute Provence (France), FIES at NOT and HERMES at ... | 1,480 | academic |
redpajama_arxiv | 2,012 | Introduction
Early-type galaxies do not fill the full three dimensional space
defined by size, central velocity dispersion and surface brightness
(usually evaluated at the half light radius). Rather, they define
a relatively thin manifold which has come to be called the
Fundamental Plane (e.g. Djorgovski \& Davis ... | 10,354 | academic |
redpajama_arxiv | 2,012 | Introduction
We consider the fourth order nonlinear
Schr\"odinger type equation (4NLS)
on the torus T= R/2 Z :
\
.
where _t=/ t , _x=/ x ,
: R T C is an unknown
function, and : T C is a given
function. The nonlinear term N
is given by
N(,,
,
_x^2,_x^2)
&=&
_1||^2+_2||^4
+_3(_x)^2
+_4|_x|^2
& &+_5^2_x^2
... | 11,849 | academic |
redpajama_arxiv | 2,012 | Introduction
In , Bruhn, Diestel, Kriesell, Pendavingh and Wollan introduced axioms for infinite matroids
in terms of independent sets, bases, circuits, closure and (relative) rank.
These axioms allow for duality of infinite matroids as known from finite matroid theory, which settled an old problem of Rado.
U... | 337 | academic |
redpajama_arxiv | 2,012 | Introduction
Consider the Lane-Emden problem
where >0, ^N is a bounded and smooth
domain, N2, _pu:=div(
u ^p-2 u) is the p -Laplacian operator with
p>1, and 1<q<p^, with p^ denoting the Sobolev critical
exponent defined by p^=Np/( N-p) , if 1<p<N, and
p^=, if p N.
If q=p , we have the p -Laplacian ... | 9,289 | academic |
redpajama_arxiv | 2,012 | Introduction
In evaluating the recently proposed parallel algorithm based on Strassen's matrix multiplication and comparing the communication costs to the known lower bounds , we found a gap between the upper and lower bounds for certain problem sizes. The main motivation of this work is to close this gap by tightenin... | 3,085 | academic |
redpajama_arxiv | 2,012 | "Euclid's theorem on the infinitude of primes\n\n\r\n\r\n\nPrimes and the infinitude of primes\n\n\r(...TRUNCATED) | 23,477 | academic |
End of preview. Expand in Data Studio
No dataset card yet
- Downloads last month
- 29