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In algebraic geometry, purity refers to a diverse range of phenomena in which certain invariants or categories associated to geometric objects are insensitive to the removal of closed subsets of large...
In algebraic geometry, purity refers to a diverse range of phenomena in which certain invariants or categories associated to geometric objects are insensitive to the removal of closed subsets of large...
In this paper we present two applications of a Stability Theorem of Hilbert frames to nonharmonic Fourier series and wavelet Riesz basis. The first result is an enhancement of the Paley-Wiener type co...
Suppose we have observations yi = si +zi, i = 1; :::; n, where (si) is signal and (zi) is i.i.d. Gaussian white noise. Suppose we have available a library L of orthogonal bases, such as the Wavelet ...
To calibrate Fourier analysis of S5 ranking data by Markov chain Monte Carlo techniques, a set of moves (Markov basis) is needed. We calculate this basis, and use it to provide a new statistical analy...
Let A0 be a complete characteristic (0; p) discrete valuation ring with absolute rami cation degree e and a perfect residue eld. We are interested in studying the category FFA0 of nite at commutat...
If F is a local eld containing the group n of n-th roots of unity, and if G is a split semisimple simply connected algebraic group, then Matsumoto [27] de ned an n-fold covering group of G(F), tha...
Kashiwara de ned the notion of a crystal, and gave examples of crystal structures associated with bases of representations of quantum groups. We recommend the expository article Kashiwara [7], writt...
e consider the problem of optimal decentralized controller synthesis. There are several classes of such problems for which effective algorithms are known, including the quadratically invariant cases. ...
Grobner bases for operads     Grobner bases  operads       2015/3/25
We define a new monoidal category on collections (shuffle composition). Monoids in this category (shuffle operads) turn out to bring a new insight in the theory of symmetric operads. For this category...
Fiber graphs of Gr\"obner bases from contingency tables are important in statistical hypothesis testing, where one studies random walks on these graphs using the Metropolis-Hastings algorithm. The con...
Define $\psi_m$ to be the smallest strong pseudoprime to the first $m$ prime bases. The exact value of $\psi_m$ is known for $1\le m \le 8$. Z. Zhang have found a 19-decimal-digit number $Q_{11}=3825\...
Mutually unbiased bases (MUBs) have been used in several cryptographic and communications applications. There has been much speculation regarding connections between MUBs and finite geometries. Most o...
In this article we develop a theory for frames in tensor product of Hilbert spaces. We show that like bases if Y_1, Y_2, \cdot \cdot \cdot, Y_n are frames for H_1,H_2, \cdot \cdot \cdot, H_n, respecti...
In this paper we present a systematic construction of monomial bases for all quantized enveloping algebras of finite type, which generalizes the main result in [4] for simply laced case.

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