Results 1  10
of
3,591
Graphs of Essentially Equivalent Lattice Paths
"... One of the classic combinatorial problems, presented in nearly every introductory text, is enumerating the number of distinct paths on an m x n rectangular lattice from bottom left to top right. (For an example, see Exercise 42 on page 240 of [1].) For this paper, we ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
One of the classic combinatorial problems, presented in nearly every introductory text, is enumerating the number of distinct paths on an m x n rectangular lattice from bottom left to top right. (For an example, see Exercise 42 on page 240 of [1].) For this paper, we
Quasiapproximate Equivalence and Essential Equivalence of Operators
"... Abstract: It is known that the projective tensor product X ˆ⊗πY and the injective tensor product X ˇ⊗εY of Banach lattices X and Y may not be Banach lattices, while the Fremlin projective tensor product X ˆ ⊗ πY and the Wittstock injective tensor product X ˇ ⊗ εY of Banach lattices X and Y are a ..."
Abstract
 Add to MetaCart
Abstract: It is known that the projective tensor product X ˆ⊗πY and the injective tensor product X ˇ⊗εY of Banach lattices X and Y may not be Banach lattices, while the Fremlin projective tensor product X ˆ ⊗ πY and the Wittstock injective tensor product X ˇ ⊗ εY of Banach lattices X and Y are always Banach lattices. In this talk, we will discuss under what circumstances X ˆ⊗πY and X ˇ⊗εY are Banach lattices, and under what circumstances some geometric properties can be inherited from two Banach spaces X and Y to their tensor products X ˆ⊗πY and X ˇ⊗εY, and from two Banach lattices X and Y to their tensor products X ˆ ⊗ πY and X ˇ ⊗ εY. Extension of maps on operator spaces and completely rank nonincreasing linear maps
The embryonic cell lineage of the nematode Caenorhabditis elegans
 Dev. Biol
, 1983
"... The number of nongonadal nuclei in the freeliving soil nematode Caenorhabditis elegans increases from about 550 in the newly hatched larva to about 810 in the mature hermaphrodite and to about 970 in the mature male. The pattern of cell divisions which leads to this increase is essentially invarian ..."
Abstract

Cited by 540 (19 self)
 Add to MetaCart
The number of nongonadal nuclei in the freeliving soil nematode Caenorhabditis elegans increases from about 550 in the newly hatched larva to about 810 in the mature hermaphrodite and to about 970 in the mature male. The pattern of cell divisions which leads to this increase is essentially
Constrained model predictive control: Stability and optimality
 AUTOMATICA
, 2000
"... Model predictive control is a form of control in which the current control action is obtained by solving, at each sampling instant, a finite horizon openloop optimal control problem, using the current state of the plant as the initial state; the optimization yields an optimal control sequence and t ..."
Abstract

Cited by 738 (16 self)
 Add to MetaCart
from an extensive literature essential principles that ensure stability and use these to present a concise characterization of most of the model predictive controllers that have been proposed in the literature. In some cases the finite horizon optimal control problem solved online is exactly
Temperatureaware microarchitecture
 In Proceedings of the 30th Annual International Symposium on Computer Architecture
, 2003
"... With power density and hence cooling costs rising exponentially, processor packaging can no longer be designed for the worst case, and there is an urgent need for runtime processorlevel techniques that can regulate operating temperature when the package’s capacity is exceeded. Evaluating such techn ..."
Abstract

Cited by 478 (52 self)
 Add to MetaCart
such techniques, however, requires a thermal model that is practical for architectural studies. This paper describes HotSpot, an accurate yet fast model based on an equivalent circuit of thermal resistances and capacitances that correspond to microarchitecture blocks and essential aspects of the thermal package
Testing for Common Trends
 Journal of the American Statistical Association
, 1988
"... Cointegrated multiple time series share at least one common trend. Two tests are developed for the number of common stochastic trends (i.e., for the order of cointegration) in a multiple time series with and without drift. Both tests involve the roots of the ordinary least squares coefficient matrix ..."
Abstract

Cited by 464 (7 self)
 Add to MetaCart
matrix obtained by regressing the series onto its first lag. Critical values for the tests are tabulated, and their power is examined in a Monte Carlo study. Economic time series are often modeled as having a unit root in their autoregressive representation, or (equivalently) as containing a stochastic
The essential equivalence of pairwise and mutual conditional independence, Probability Theory and Related Fields 135
, 2006
"... Abstract For a large collection of random variables, pairwise conditional independence and mutual conditional independence are shown to be essentially equivalent i.e., equivalent to up to null sets. Unlike in the finite setting, a large collection of random variables remains essentially conditiona ..."
Abstract

Cited by 3 (3 self)
 Add to MetaCart
Abstract For a large collection of random variables, pairwise conditional independence and mutual conditional independence are shown to be essentially equivalent i.e., equivalent to up to null sets. Unlike in the finite setting, a large collection of random variables remains essentially
Impact of network density on Data Aggregation in wireless sensor networks
, 2001
"... Innetwork data aggregation is essential for wireless sensor networks where resources (e.g., bandwidth, energy) are limited. In a previously proposed data dissemination scheme, data is opportunistically aggregated at the intermediate nodes on a lowlatency tree which may not necessarily be energy ef ..."
Abstract

Cited by 321 (4 self)
 Add to MetaCart
Innetwork data aggregation is essential for wireless sensor networks where resources (e.g., bandwidth, energy) are limited. In a previously proposed data dissemination scheme, data is opportunistically aggregated at the intermediate nodes on a lowlatency tree which may not necessarily be energy
A characterization of Markov equivalence classes for acyclic digraphs
, 1995
"... Undirected graphs and acyclic digraphs (ADGs), as well as their mutual extension to chain graphs, are widely used to describe dependencies among variables in multivariate distributions. In particular, the likelihood functions of ADG models admit convenient recursive factorizations that often allow e ..."
Abstract

Cited by 120 (7 self)
 Add to MetaCart
substantial computational or other inefficiencies. Here it is shown that each Markovequivalence class is uniquely determined by a single chain graph, the essential graph, that is itself simultaneously Markov equivalent to all ADGs in the equivalence class. Essential graphs are characterized, a polynomial
Asymptotic equivalence of density estimation and Gaussian white noise
 Ann. Statist
, 1996
"... Signal recovery in Gaussian white noise with variance tending to zero has served for some time as a representative model for nonparametric curve estimation, having all the essential traits in a pure form. The equivalence has mostly been stated informally, but an approximation in the sense of Le Cam’ ..."
Abstract

Cited by 123 (5 self)
 Add to MetaCart
Signal recovery in Gaussian white noise with variance tending to zero has served for some time as a representative model for nonparametric curve estimation, having all the essential traits in a pure form. The equivalence has mostly been stated informally, but an approximation in the sense of Le Cam
Results 1  10
of
3,591