Homogeneous Programming: Saddlepoint and Perturbation Function

Econometrica ◽  
1977 ◽  
Vol 45 (3) ◽  
pp. 729 ◽  
Author(s):  
Gerald LeBlanc
Keyword(s):  
Perturbation Function ◽  
Homogeneous Programming

Sound Propagation in Dilute Polyatomic Gases

1972 ◽  
Vol 27 (4) ◽  
pp. 583-592
Author(s):  
H. Moraal ◽  
F. Mccourt
Keyword(s):  
Pressure Range ◽  
Sound Propagation ◽  
Plane Waves ◽  
Point Of View ◽  
Perturbation Function ◽  
Sound Waves ◽  
Polyatomic Gas ◽  
Measured Pressure ◽  
Theory And Experiment ◽  
Good Agreement

Abstract Sound propagation in dilute pure gases, both monatomic and polyatomic, has been considered from the point of view of the Waldmann-Snider equation. It is shown that the commonly employed assumption that sound propagation in gases is equivalent to the propagation of plane waves is valid only in the region where collisions restore equilibrium faster than it is perturbed by the sound waves. A systematic truncation procedure for an expansion of the perturbation function in irreducible Cartesian tensors is introduced and then illustrated in solutions for three specific kinds of molecules, helium, nitrogen and rough spheres. The agreement between theory and experiment is rather good for sound absorption in the region where the ratio of the collision and sound frequencies is greater than 1.5. The agreement in the case of dispersion is good over the whole measured pressure range. One useful result obtained is to show the polyatomic gas calculations in second approximation have as good agreement with experiment as the calculations for noble gases in third approximation. This can be related to the possession by the polyatomic gas of a bulk viscosity which dominates in sound propagation.

scholarly journals Measuring adaptation with a sinusoidal perturbation function

2012 ◽  
Vol 208 (1) ◽  
pp. 48-58 ◽  
Author(s):  
Todd E. Hudson ◽  
Michael S. Landy
Keyword(s):  
Perturbation Function

Homogeneous programming

1980 ◽  
Vol 31 (1) ◽  
pp. 101-105 ◽  
Author(s):  
T. Fujimoto
Keyword(s):  
Homogeneous Programming

scholarly journals Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe

2015 ◽  
Vol 93 (10) ◽  
pp. 1050-1056 ◽  
Author(s):  
S.B. Nassur ◽  
A.V. Kpadonou ◽  
M.E. Rodrigues ◽  
M.J.S. Houndjo ◽  
J. Tossa
Keyword(s):  
Dark Energy ◽  
Equation Of State ◽  
Model Checking ◽  
Exponential Model ◽  
Effective Parameter ◽  
Perturbation Function ◽  
De Sitter ◽  
Torsion Scalar ◽  
Theory Of Gravity

We consider an exponential model within the so-called f(T) theory of gravity, where T denotes the torsion scalar. We focus our attention on a cosmological feature of a f(T) model, checking whether it may describe the de Sitter stage of the current universe according to the evolution of the redshift, z. Our results show that the model reproduces the de Sitter stage only for low redshifts, where the perturbation function approached zero, whereas the effective parameter of the equation of state goes to –1, which is the expected behavior for any model able to reproduce the de Sitter stage.

scholarly journals An application of chaos gray-encoded genetic algorithm for Philip infiltration model

2018 ◽  
Vol 22 (4) ◽  
pp. 1581-1588 ◽  
Author(s):  
Kai-Wen Wang ◽  
Xiao-Hua Yang ◽  
Yu-Qi Li ◽  
Chang-Ming Liu ◽  
Xing-Jian Guo
Keyword(s):  
Genetic Algorithm ◽  
Numerical Calculation ◽  
Optimization Algorithm ◽  
Optimization Technique ◽  
Parameters Estimation ◽  
Physical Parameters ◽  
Perturbation Function ◽  
Infiltration Model ◽  
Cumulative Infiltration ◽  
Relationship Of

To improve the precision of parameters? estimation in Philip infiltration model, chaos gray-coded genetic algorithm was introduced. The optimization algorithm made it possible to change from the discrete form of time perturbation function to a more flexible continuous form. The software RETC and Hydrus-1D were applied to estimate the soil physical parameters and referenced cumulative infiltration for seven different soils in the USDA soil texture triangle. The comparisons among Philip infiltration model with different numerical calculation methods showed that using optimization technique can increase the Nash and Sutcliffe efficiency from 0.82 to 0.97, and decrease the percent bias from 14% to 2%. The results indicated that using the discrete relationship of time perturbation function in Philip infiltration model?s numerical calculation underestimated model?s parameters, but this problem can be corrected a lot by using optimization algorithm. We acknowledge that in this study the fitting of time perturbation function, Chebyshev polynomial with order 20, did not perform perfectly near saturated and residue water content. So exploring a more appropriate function for representing time perturbation function is valuable in the future.

scholarly journals $$\alpha $$-Dirac-harmonic maps from closed surfaces

2021 ◽  
Vol 60 (3) ◽  
Author(s):  
Jürgen Jost ◽  
Jingyong Zhu
Keyword(s):  
Harmonic Maps ◽  
Harmonic Map ◽  
Nonpositive Curvature ◽  
Existence Problem ◽  
Perturbation Function ◽  
Regularity Theorem ◽  
Closed Surfaces ◽  
Palais Smale Condition ◽  
Target Manifold

Abstract$$\alpha $$ α -Dirac-harmonic maps are variations of Dirac-harmonic maps, analogous to $$\alpha $$ α -harmonic maps that were introduced by Sacks–Uhlenbeck to attack the existence problem for harmonic maps from closed surfaces. For $$\alpha >1$$ α > 1 , the latter are known to satisfy a Palais–Smale condition, and so, the technique of Sacks–Uhlenbeck consists in constructing $$\alpha $$ α -harmonic maps for $$\alpha >1$$ α > 1 and then letting $$\alpha \rightarrow 1$$ α → 1 . The extension of this scheme to Dirac-harmonic maps meets with several difficulties, and in this paper, we start attacking those. We first prove the existence of nontrivial perturbed $$\alpha $$ α -Dirac-harmonic maps when the target manifold has nonpositive curvature. The regularity theorem then shows that they are actually smooth if the perturbation function is smooth. By $$\varepsilon $$ ε -regularity and suitable perturbations, we can then show that such a sequence of perturbed $$\alpha $$ α -Dirac-harmonic maps converges to a smooth coupled $$\alpha $$ α -Dirac-harmonic map.

Modulational stability of solitary states in a lossy nonlinear electrical line

2009 ◽  
Vol 87 (11) ◽  
pp. 1191-1202 ◽  
Author(s):  
E. Kengne ◽  
R. Vaillancourt
Keyword(s):  
Eigenvalue Problem ◽  
Growth Rates ◽  
Pulse Propagation ◽  
Landau Equation ◽  
Perturbation Function ◽  
Electrical Transmission ◽  
Ginzburg Landau ◽  
Electrical Transmission Line ◽  
Complex Functions ◽  
Modulational Stability

The modified Ginzburg–Landau equation that describes the pulse propagation in a lossy electrical transmission line is used to derive an eigenvalue problem that allows a detailed investigation of the modulational stability of the solitary states in the line. It is found that the growth rates of the perturbation are complex functions of the spatial variable and that, in general, the solitary states in the network can be either modulationally stable, unstable, or destabilized under a given perturbation function.

Symmetry property of the electric quadrupole perturbation function in gamma ray angular correlations

1990 ◽  
Vol 113 (4) ◽  
pp. 297-302
Author(s):  
S. Connell ◽  
K. Bharuth-Ram ◽  
H. Appel ◽  
J. P. F. Sellschop ◽  
M. Stemmet
Keyword(s):  
Symmetry Property ◽  
Gamma Ray ◽  
Electric Quadrupole ◽  
Perturbation Function ◽  
Angular Correlations
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