Coefficient sets for one dimensional gravity operations using filter theory

1971 ◽  
Vol 88 (1) ◽  
pp. 5-11 ◽  
Author(s):  
B. N. P. Agarwal ◽  
Tarkeshwar Lal
Keyword(s):  
Filter Theory ◽  
One Dimensional ◽  
Dimensional Gravity

BRST quantization of one-dimensional gravity

1990 ◽  
Vol 84 (2) ◽  
pp. 877-886
Author(s):  
A. P. Demichev ◽  
M. Z. Iofa
Keyword(s):  
Brst Quantization ◽  
One Dimensional ◽  
Dimensional Gravity

scholarly journals One-dimensional gravity in infinite point distributions

2009 ◽  
Vol 80 (4) ◽  
Author(s):  
A. Gabrielli ◽  
M. Joyce ◽  
F. Sicard
Keyword(s):  
One Dimensional ◽  
Infinite Point ◽  
Dimensional Gravity

TWO-DIMENSIONAL GRAVITY FROM d=0 AND d=1 MATRIX MODELS

1992 ◽  
Vol 07 (29) ◽  
pp. 7401-7418 ◽  
Author(s):  
P.G. SILVESTROV
Keyword(s):  
2D Gravity ◽  
Scaling Limit ◽  
Analytical Continuation ◽  
Expectation Values ◽  
Simple Description ◽  
One Dimensional ◽  
Painlevé Transcendent ◽  
The Matrix ◽  
Dimensional Gravity ◽  
Definition Of

The two nonperturbative formulations of 2d gravity are compared. The first one is an analytical continuation of the matrix integral. This method provides a simple description of random surfaces statistics, but leads to complex expectation values. In the second method, proposed by Marinari and Parisi, observables in 2d gravity are identified with the correlators for 1d supersymmetric string. The correct quantization in the double scaling limit reduces the problem to the calculation of a few eigenfunctions of simple one-dimensional Hamiltonian. We propose a function which may substitute the Painleve transcendent for the second definition of 2d gravity. The universality of the model is also discussed.

scholarly journals Assessing the Analytical Solution of One-Dimensional Gravity Wave Model Equations Using Dam-Break Experimental Measurements

Water ◽  
2018 ◽  
Vol 10 (9) ◽  
pp. 1261 ◽  
Author(s):  
Wenjun Liu ◽  
Bo Wang ◽  
Yunliang Chen ◽  
Chao Wu ◽  
Xin Liu
Keyword(s):  
Gravity Wave ◽  
Water Depth ◽  
Wave Model ◽  
Discontinuity Point ◽  
Weak Discontinuity ◽  
Dam Break ◽  
Experimental Results ◽  
Hydraulic Parameters ◽  
One Dimensional ◽  
Dimensional Gravity

The one-dimensional gravity wave model (GWM) is the result of ignoring the convection term in the Saint-Venant Equations (SVEs), and has the characteristics of fast numerical calculation and low stability requirements. To study its performances and limitations in 1D dam-break flood, this paper verifies the model using a dam-break experiment. The experiment was carried out in a large-scale flume with depth ratios (initial downstream water depth divided by upstream water depth) divided into 0 and 0.1~0.4. The data were collected by image processing technology, and the hydraulic parameters, such as water depth, flow discharge, and wave velocity, were selected for comparison. The experimental results show that the 1D GWM performs an area with constant hydraulic parameters, which is quite different from the experimental results in the dry downstream case. For a depth ratio of 0.1, the second weak discontinuity point, which is connected to the steady zone in the 1D GWM, moves upstream, which is contrary to the experimental situation. For depth ratios of 0.2~0.4, the moving velocity of the second weak discontinuity point is faster than the experimental value, while the velocity of the shock wave is slower. However, as the water depth ratio increases, the hydraulic parameters calculated by 1D GWM in the steady zone gradually approach the experimental value.

On: “Gravity Interpretation using the Fourier Integral” by J. W. Berg, Jr., and M. E. Odegard (GEOPHYSICS, vol. 30, no. 3, p. 424–438, June 1965)

Geophysics ◽  
1970 ◽  
Vol 35 (2) ◽  
pp. 358-358 ◽  
Author(s):  
H. A. Meinardus
Keyword(s):  
Fourier Transform ◽  
Gravity Anomalies ◽  
Fourier Integral ◽  
Hankel Transform ◽  
Cylindrical Symmetry ◽  
Two Dimensional ◽  
One Dimensional ◽  
Dimensional Gravity ◽  
The One ◽  
Gravity Interpretation

The authors do not state explicitly that equations (1) and (12) express gravity anomalies of the two‐dimensional cylinder and fault respectively. These structures have an infinite extension along the strike, and all the gravity profiles perpendicular to the strike are identical. For this reason it is admissible to apply the one‐dimensional Fourier transform to obtain the one‐dimensional amplitude spectra shown in Figures (1) and (5). The situation, however, is different for the sphere, which does not have a one‐dimensional gravity profile in the above sense, but rather a two‐dimensional field with cylindrical symmetry. Instead of using the one‐dimensional Fourier transform as given by (6) along a straight line, we must apply the two‐dimensional Fourier transform over the whole area. Because of the circular symmetry, one radial variable will suffice in place of the two Cartesian coordinates x and y, and the two‐dimensional Fourier transform can be expressed as Hankel transform, so that equation (6) becomes [Formula: see text]

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