Exponential Sums
Mostrando 1-8 de 8 artigos, teses e dissertações.
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1. Estimation of parameters of signals generated by time invariant linear systems / Estimação de parâmetros de sinais gerados por sistemas lineares invariantes no tempo
A study on the recovery of signals modeled by weighted sums of complex exponentials complex is presented. For this, basic concepts of signals and systems theory are introduced. In particular, the linear time invariant systems (LTI Systems) are considered, which can be mathematically represented by differential equations or difference equations, respectively,
Publicado em: 2009
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2. A trigonometric sum relevant to the nonrelativistic theory of atoms.
We extend Van der Corput's method for exponential sums to study an oscillatory term appearing in the quantum theory of large atoms. We obtain an interpretation in terms of classical dynamics and we produce sharp asymptotic upper and lower bounds for the oscillations.
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3. Benzodiazepine and beta-carboline regulation of single GABAA receptor channels of mouse spinal neurones in culture.
1. The effects of the benzodiazepine receptor agonist, diazepam (DZ), and the inverse agonist, methyl-6,7-dimethoxy-4-ethyl-beta-carboline-3-carboxylate (DMCM), on gamma-aminobutyric acid (GABAA) receptor single channel currents were characterized. Outside-out patches were obtained from somata of cultured mouse spinal cord neurones and voltage clamped at -75
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4. Properties of single fast chloride channels from rat cerebral cortex neurons.
1. Properties of Cl- channels from surface membranes of acutely dissociated rat cerebral cortical neurons were studied with the patch clamp technique. These channels were present in the majority of excised inside-out membrane patches. 2. Cl- channels were rarely observed in cell-attached membrane patches, and usually several minutes elapsed following excisio
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5. The Rogers-Ramanujan identities: Lie theoretic interpretation and proof
The two Rogers-Ramanujan identities, which equate certain infinite products with infinite sums, are among the most intriguing of the classical formal power series identitites. It has been found by Lepowsky and Milne that the product side of each of them differs by a certain factor from the principally specialized character of a certain standard module for th
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6. Inversion of Markov processes to determine rate constants from single-channel data.
The determination of rate constants from single-channel data can be very difficult, in part because the single-channel lifetime distributions commonly analyzed by experimenters often have a complicated mathematical relation to the channel gating mechanism. The standard treatment of channel gating as a Markov process leads to the prediction that lifetime dist
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7. Two-dimensional components and hidden dependencies provide insight into ion channel gating mechanisms.
Correlations between the durations of adjacent open and shut intervals recorded from ion channels contain information about the underlying gating mechanism. This study presents an additional approach to extracting the correlation information. Detailed correlation information is obtained directly from single-channel data and quantified in a manner that can pr
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8. Adjacent interval analysis distinguishes among gating mechanisms for the fast chloride channel from rat skeletal muscle.
1. The durations of adjacent open and shut intervals, obtained with the patch-clamp technique from fast Cl- channels in tissue-cultured rat skeletal muscle, were analysed to distinguish among eight previously considered gating mechanisms for the channel which differed in the connections among the states. 2. Open intervals were separated into groups based on