Results 211 to 220 of about 41,011 (239)
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Roots of the equationf (z)=αf (α) for the class of typically-real functions
Mathematical Notes of the Academy of Sciences of the USSR, 1971Let Tr be the class of functionsf (z)=z+c2z2+..., regular in the disk ¦z¦ 0 in the remainder of the disk ¦z¦
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Functional Analysis and Its Applications, 1992
This article deals with finite-zone two-dimensional Schrödinger operators of the type \[ L = {\partial^ 2 \over \partial z \partial \overline z} + 2{\partial^ 2 \over \partial z \partial \overline z} \theta_{Pr} (zu^ 1 + \overline zu^ 2-e) - \varepsilon_ 0 \] where \(e,u^ 1,u^ 2 \in {\mathcal C}^ 2\) and \(\theta_{Pr}\) -- Prym theta- function of a ...
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This article deals with finite-zone two-dimensional Schrödinger operators of the type \[ L = {\partial^ 2 \over \partial z \partial \overline z} + 2{\partial^ 2 \over \partial z \partial \overline z} \theta_{Pr} (zu^ 1 + \overline zu^ 2-e) - \varepsilon_ 0 \] where \(e,u^ 1,u^ 2 \in {\mathcal C}^ 2\) and \(\theta_{Pr}\) -- Prym theta- function of a ...
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Physical Review, 1930
All of the equilibrium data on the ammonia synthesis reaction, which cover an extreme temperature range of from 325\ifmmode^\circ\else\textdegree\fi{} to 952\ifmmode^\circ\else\textdegree\fi{}C and an extreme pressure range (at some temperatures) of from 10 to 1000 atmospheres, are correlated with the compressibility and heat capacity data on the pure ...
Louis J. Gillespie, James A. Beattie
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All of the equilibrium data on the ammonia synthesis reaction, which cover an extreme temperature range of from 325\ifmmode^\circ\else\textdegree\fi{} to 952\ifmmode^\circ\else\textdegree\fi{}C and an extreme pressure range (at some temperatures) of from 10 to 1000 atmospheres, are correlated with the compressibility and heat capacity data on the pure ...
Louis J. Gillespie, James A. Beattie
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Ukrainian Mathematical Journal, 2000
This paper deals with the functional equation \[ x(t)=T[x](t):=f\bigl(t,x(\varphi_1(t,x(t)),\ldots,x(\varphi_m(t,x(t)))\bigl), \] where \(f:\mathbb R\times \mathbb R^m \to \mathbb R, \varphi_i:\mathbb R\times \mathbb R \to \mathbb R, i=1,\ldots ,m\). The functions \(f\) and \(\varphi_i\) are bounded and Lipschitzian.
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This paper deals with the functional equation \[ x(t)=T[x](t):=f\bigl(t,x(\varphi_1(t,x(t)),\ldots,x(\varphi_m(t,x(t)))\bigl), \] where \(f:\mathbb R\times \mathbb R^m \to \mathbb R, \varphi_i:\mathbb R\times \mathbb R \to \mathbb R, i=1,\ldots ,m\). The functions \(f\) and \(\varphi_i\) are bounded and Lipschitzian.
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1964
Several recent publications [1–5] from this laboratory on the calculation of thermodynamic properties of cryogenic fluids contain various relations for the determination of entropy, enthalpy, and internal energy. Considerable interest has been expressed about the derivation and application of these equations; this interest generally results from the ...
J. G. Hust, A. L. Gosman
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Several recent publications [1–5] from this laboratory on the calculation of thermodynamic properties of cryogenic fluids contain various relations for the determination of entropy, enthalpy, and internal energy. Considerable interest has been expressed about the derivation and application of these equations; this interest generally results from the ...
J. G. Hust, A. L. Gosman
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AIP Conference Proceedings, 2014
We have imposed the conditions in order to preserve the real-valued partition function in the case of onedimensional Gross-Pitaevskii equation coupled by time-dependent potential. In this case we have solved the Gross-Pitaevskii equation by means of the time-dependent perturbation theory by extending the previous work of Kivshar et al. [Phys.
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We have imposed the conditions in order to preserve the real-valued partition function in the case of onedimensional Gross-Pitaevskii equation coupled by time-dependent potential. In this case we have solved the Gross-Pitaevskii equation by means of the time-dependent perturbation theory by extending the previous work of Kivshar et al. [Phys.
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2001
In this chapter, we use the assumption traditional for multidimensional statistical analysis that the observations of a certain random vector are independent and identically distributed. Here, we consider some important consistent and asymptotically normal estimators obtained with the help of some canonical equations.
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In this chapter, we use the assumption traditional for multidimensional statistical analysis that the observations of a certain random vector are independent and identically distributed. Here, we consider some important consistent and asymptotically normal estimators obtained with the help of some canonical equations.
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
exaly
Circulating tumor DNA in advanced solid tumors: Clinical relevance and future directions
Ca-A Cancer Journal for Clinicians, 2021Michael L Cheng +2 more
exaly