Results 21 to 30 of about 759,399 (193)
Probabilistic models of data sets often exhibit salient geometric structure. Such a phenomenon is summed up in the manifold distribution hypothesis, and can be exploited in probabilistic learning. Here we present normal-bundle bootstrap (NBB), a method that generates new data which preserve the geometric structure of a given data set.
Ruda Zhang, Roger Ghanem
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A Lefschetz fixed point formula for symplectomorphisms [PDF]
Consider a compact K\"ahler manifold endowed with a prequantum bundle. Following the geometric quantization scheme, the associated quantum spaces are the spaces of holomorphic sections of the tensor powers of the prequantum bundle.
Charles, Laurent
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We show that a twistor construction of Hitchin and Ward can be adapted to study unitons (harmonic spheres in a unitary group). Specifically, we show that unitons are equivalent to holomorphic bundles with extra structure over a rational ruled surface with energy given by Chern class.
openaire +3 more sources
Euclidean Supergravity in Terms of Dirac Eigenvalues [PDF]
It has been recently shown that the eigenvalues of the Dirac operator can be considered as dynamical variables of Euclidean gravity. The purpose of this paper is to explore the possiblity that the eigenvalues of the Dirac operator might play the same ...
A. Ashtekar +30 more
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[english] Aim: Catheter associated urinary tract infections (CAUTI) are the most common hospital-acquired infection in ICUs. The aim of this study was to estimate the effectiveness of an intervention program by implementing urinary catheter bundle ...
Amine, Amira Ezzat Khamis +2 more
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Dirichlet Polynomials and Entropy
A Dirichlet polynomial d in one variable y is a function of the form d(y)=anny+⋯+a22y+a11y+a00y for some n,a0,…,an∈N. We will show how to think of a Dirichlet polynomial as a set-theoretic bundle, and thus as an empirical distribution.
David I. Spivak, Timothy Hosgood
doaj +1 more source
Urban–rural fringe areas are critical transition zones where ecological functions and human activities interact intensely, often leading to complex spatial patterns and trade-offs among ecosystem services (ESs).
Chang Wang +6 more
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Trace formulae for curvature of Jet Bundles over planar domain
For a domain \Omega in \mathbb{C} and an operator T in \mathcal{B}_n(\Omega), Cowen and Douglas construct a Hermitian holomorphic vector bundle E_T over \Omega corresponding to T.
Keshari, Dinesh Kumar
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Antimicrobial stewardship (ASP) is becoming an increasingly high priority worldwide, yet the emergency department (ED) is an area where stewardship is often neglected. Implementing care bundles, guidelines, and protocols appears to be a rational strategy
Maressa Santarossa +4 more
doaj +1 more source
Fibre bundle formulation of nonrelativistic quantum mechanics. III. Pictures and integrals of motion [PDF]
We propose a new systematic fibre bundle formulation of nonrelativistic quantum mechanics. The new form of the theory is equivalent to the usual one but it is in harmony with the modern trends in theoretical physics and potentially admits new ...
Bozhidar Z Iliev +14 more
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