On: “A simple method of interpreting dipole resistivity soundings” by S. Niwas and M. Israil (GEOPHYSICS, 52, 1412–1417, October 1987)

Geophysics ◽  
1989 ◽  
Vol 54 (12) ◽  
pp. 1647-1647
Author(s):  
Edward Szaraniec
Keyword(s):  
Linear Combination ◽  
Kernel Function ◽  
Apparent Resistivity ◽  
Simple Method ◽  
Resistivity Data ◽  
The Subject

The subject paper consists in approximating the apparent resistivity data by using a linear combination of suitable functions chosen in such a way that (1) they give a good approximation up to the desired precision and (2) they allow the kernel function to be determined analytically. Surprisingly enough, no mention is made that such an approach, especially directed toward interpretation of resistivity soundings, was first proposed by Santini and Zambrano (1981). The subject was subsequently continued by Kumar and Chowdary (1982) and commented by Santini and Zambrano (1982), Straub (1984), and Szaraniec (1982, 1984).

Beyond the heuristic approach to Kolmogorov-Smirnov theorems

1982 ◽  
Vol 19 (A) ◽  
pp. 359-365 ◽  
Author(s):  
David Pollard
Keyword(s):  
Weak Convergence ◽  
Goodness Of Fit ◽  
Empirical Distribution ◽  
Distribution Functions ◽  
Heuristic Approach ◽  
Convergence Theory ◽  
Simple Method ◽  
Starting Point ◽  
Kolmogorov Smirnov ◽  
The Subject

The theory of weak convergence has developed into an extensive and useful, but technical, subject. One of its most important applications is in the study of empirical distribution functions: the explication of the asymptotic behavior of the Kolmogorov goodness-of-fit statistic is one of its greatest successes. In this article a simple method for understanding this aspect of the subject is sketched. The starting point is Doob's heuristic approach to the Kolmogorov-Smirnov theorems, and the rigorous justification of that approach offered by Donsker. The ideas can be carried over to other applications of weak convergence theory.

scholarly journals PENGEMBANGAN KREATIVITAS ANAK USIA DINI MELALUI ORIGAMI

2019 ◽  
Vol 5 (1) ◽  
pp. 61
Author(s):  
Uswatun Hasanah ◽  
Dian Eka Priyantoro
Keyword(s):  
Academic Achievement ◽  
Early Childhood ◽  
Simple Method ◽  
Paper Folding ◽  
Excellent Activity ◽  
The Subject

Everyone has different abilities. Reflecting from the diversity of different abilities, it should be necessary to do various ways in developing those abilities. One of the individual's abilities is creativity. Creativity is an important ability to develop, even in various elements of education. In this case, educators play an important role to develop that ability. Creativity is very important to develop, because creativity has a big influence and adequate to contribute in one's life, for example in academic achievement. The art of paper folding or origami, is an excellent activity to stimulate creativity as well as build a structured mind power in children. Because the subject of this activity is an early childhood, then this activity is designed with a simple method. Children who follow this activity are only told to look, then practice together and they may even form another pattern they want.

scholarly journals Note on a distance invariant and the calculation of Ruse's invariant

1942 ◽  
Vol 7 (1) ◽  
pp. 16-26 ◽  
Author(s):  
A. G. Walker
Keyword(s):  
General Relativity ◽  
Power Series ◽  
Riemannian Space ◽  
Geometrical Interpretation ◽  
Spatial Distance ◽  
Simple Extension ◽  
Simple Method ◽  
Method Of Calculation ◽  
The Subject ◽  
Point Invariant

Several papers on the subject of spatial distance in General Relativity appeared a few years ago, and a simple extension of this idea to any pair of points in any Riemannian space was given by me in a thesis. A distance invariant was defined, and this was found to depend upon a certain two-point invariant which was first introduced by H. S. Ruse in a study of Laplace's Equation. This invariant, now written ρ and defined in (3), has lately re-appeared, and it may now be of interest to publish the results found earlier. These include a geometrical interpretation of ρ, a simple method of calculation, and an expansion as a power series in the geodesic arc. The dependence of ρ upon the geodesic arc is also considered.

DEEP ELECTRICAL PROSPECTING—A DISCUSSION

Geophysics ◽  
1948 ◽  
Vol 13 (1) ◽  
pp. 92-97
Author(s):  
Sulhi Yüngül
Keyword(s):  
Apparent Resistivity ◽  
The Other ◽  
New Method ◽  
Depth Of Penetration ◽  
Method Of Calculation ◽  
Comprehensive Knowledge ◽  
Electrical Sounding ◽  
The Subject ◽  
Electrical Prospecting

In two papers published in Geophysics, one in the October, 1944, issue and the other in October, 1946, a system and method of calculation, called “Resistolog” method, was presented. The object of the Resistolog method is to eliminate the effects of superficial inhomogeneities which are the most troublesome obstacles in interpreting electrical sounding results in exploring deep, horizontal discontinuities. The following is a discussion of the papers mentioned above, mainly of the subject of (1) the apparent‐resistivity formula derived for use with the Resistolog configuration, (2) determination of inflectional points on apparent resistivity curves, (3) depth of penetration, and (4) distortion caused by the “far electrode.” A new method to determine inflectional points is also given. This paper includes a comprehensive knowledge about the forementioned papers and the reader may not have to refer to them.

APPARENT RESISTIVITY FOR DIPPING BEDS—A DISCUSSION

Geophysics ◽  
1955 ◽  
Vol 20 (1) ◽  
pp. 140-144 ◽  
Author(s):  
Robert G. Van Nostrand ◽  
Kenneth L. Cook
Keyword(s):  
Exact Solution ◽  
English Translation ◽  
Apparent Resistivity ◽  
Resistivity Data ◽  
Successful Work ◽  
Foregoing Paper

Two groups of workers, here designated the “image school” and the “harmonic school” respectively, have attacked the problem of the interpretation of resistivity data over a dipping bed or dipping fault. The earlier attempts were made by the image school; but the more successful attempts have been made only recently by the harmonic school. The most successful work prior to that presented in the foregoing paper by Maeda has been done by the Russians, whose papers in their English translation are probably available to few American geophysicists. The purpose of this discussion is to appraise the relative merits of various prior solutions to the dipping bed problem in the light of the exact solution to the problem, which is given by Maeda. The terminology and symbols used herein are identical to those used by Maeda in his paper.

Repeatability study of helicopter-borne electromagnetic data

Geophysics ◽  
2006 ◽  
Vol 71 (6) ◽  
pp. G285-G290 ◽  
Author(s):  
Haoping Huang ◽  
Allen Cogbill
Keyword(s):  
Apparent Resistivity ◽  
Correlation Coefficients ◽  
Flight Path ◽  
Control Line ◽  
Average Correlation ◽  
Plan View ◽  
Frequency Dependency ◽  
Electromagnetic Data ◽  
Resistivity Data ◽  
Phase Data

Helicopter-borne electromagnetic (EM) responses depend very much upon the altitude and plan-view flight path, especially when the resistivity of the terrain’s materials varies laterally and/or vertically. Spatially consistent flight paths are required for repeatability analysis of the EM data. Caution should be used in examining the repeatability of the EM data because poor repeatability could result from spatially inconsistent flight paths. However, the apparent resistivity converted from the EM responses is virtually independent of the sensor altitude and directly reflects variations in the resistivity. Therefore, more meaningful repeatability analyses are achieved if the apparent resistivity is used instead of the EM response itself. We have analyzed 32 flights over a control line by using the EM amplitude, the phase, and the apparent resistivity. Our results show that the crosscorrelation for all 496 paired combinations of flights is better for the apparent resistivity than for the EM amplitude or phase. The apparent-resistivity data have average correlation coefficients from 0.89 to 0.94 as the frequency increases, whereas the amplitude and the phase data have average correlation coefficients from 0.78 to 0.85 without obvious frequency dependency.

scholarly journals Onset and Contiguity

2021 ◽  
Vol 27 (4) ◽  
Author(s):  
Aaron Carter-Ényì ◽  
Gilad Rabinovitch
Keyword(s):  
Eighteenth Century ◽  
Case Studies ◽  
Present Article ◽  
Pattern Discovery ◽  
Simple Method ◽  
Algorithmic Approach ◽  
Contextual Features ◽  
Symbolic Data ◽  
The Subject ◽  
New Form

Onset (metric position) and contiguity (pitch adjacency and time proximity) are two melodic features that contribute to the salience of individual notes (core tones) in a monophonic voice or polyphonic texture. Our approach to reductions prioritizes contextual features like onset and contiguity. By awarding points to notes with such features, our process selects core tones from melodic surfaces to produce a reduction. Through this reduction, a new form of musical pattern discovery is possible that has similarities to Gjerdingen’s (".fn_cite_year($gjerdingen_2007).") galant schemata. Recurring n-grams (scale degree skeletons) are matched in an algorithmic approach that we have tested manually (with a printed score and pen and paper) and implemented computationally (with symbolic data and scripted algorithms in MATLAB). A relatively simple method successfully identifies the location of all statements of the subject in Bach’s Fugue in C Minor (BWV 847) identified by Bruhn (".fn_cite_year($bruhn_1993).") and the location of all instances of the Prinner and Meyer schemata in Mozart’s Sonata in C Major (K. 545/i) identified by Gjerdingen (".fn_cite_year($gjerdingen_2007)."). We also apply the method to an excerpt by Kirnberger analyzed in Rabinovitch (".fn_cite_year($rabinovitch_2019)."). Analysts may use this flexible method for pattern discovery in reduced textures through software freely accessible at https://www.atavizm.org. While our case studies in the present article are from eighteenth-century European music, we believe our approach to reduction and pattern discovery is extensible to a variety of musics.

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