A METHOD OF COMPUTING RESIDUAL ANOMALIES FROM BOUGUER GRAVITY MAP BY APPLYING RELAXATION TECHNIQUE

Geophysics ◽  
1967 ◽  
Vol 32 (4) ◽  
pp. 708-719 ◽  
Author(s):  
M. K. Paul
Keyword(s):  
Linear Function ◽  
Linear Equations ◽  
Point Of View ◽  
Relaxation Technique ◽  
Bouguer Gravity ◽  
Left Hand ◽  
Analytical Point ◽  
Residual Values ◽  
The Right ◽  
Gravity Map

A new method of computing residual anomalies for gravity prospecting data from a Bouguer gravity map has been evolved. In arriving at the proposed method, we have at first examined the behavior of the regional gravity field from an analytical point of view. With the concepts acquired therefrom in mind, we consider the case of square grids with such separation of stations that in an elementary area, formed by joining the four nearest stations around a central station, the regional field may be represented by a linear function of the Cartesian coordinates in the horizontal surface of observation. Making use of the formal relationship between the residual, regional, and Bouguer gravity values, we have been able to formulate in this case a set of simultaneous linear equations—one for each station of observation—with the residual values at the grid corners as the unknowns in the left hand sides of these equations and some linear function of the Bouger values at the grid corners as the known quantities in the right hand sides. With some plausible estimates of the residual values at the stations on the boundaries at hand, these equations can be solved efficiently with the aid of the relaxation technique as has been exemplified in the cases of theoretical model as well as field data.

On: “Method of Computing Residual Anomalies from Bouguer Gravity Map by Applying Relaxation Technique” by M. K. Paul (GEOPHYSICS, August 1967, p. 708–719)

Geophysics ◽  
1970 ◽  
Vol 35 (1) ◽  
pp. 160-161
Author(s):  
N. F. Uren
Keyword(s):  
Gravity Field ◽  
Theoretical Basis ◽  
Two Dimensions ◽  
Relaxation Technique ◽  
Bouguer Gravity ◽  
Laplace’S Equation ◽  
Laplace's Equation ◽  
Regional Gravity ◽  
Gravity Map

Dr. M. K. Paul suggests that further investigation of this method may be necessary. The theoretical basis for this method is that [Formula: see text] i.e., that the regional gravity field obeys Laplace’s equation in two dimensions over the plane of observation.

On: “A Method of Computing Residual Anomalies from Bouguer Gravity Map by Applying Relaxation Technique” by M. K. Paul (GEOPHYSICS, vol. 32, no. 4, p. 708–719, August, 1967)

Geophysics ◽  
1970 ◽  
Vol 35 (2) ◽  
pp. 357-357
Author(s):  
H. A. Meinardus
Keyword(s):  
Least Squares ◽  
Least Squares Method ◽  
Relaxation Technique ◽  
Bouguer Gravity ◽  
Entire Region ◽  
Degree Polynomial ◽  
Entire Area ◽  
Bouguer Map ◽  
Polynomial Formula ◽  
Gravity Map

On page 711 the author, after reference to previous users of the least‐squares method for estimating residuals in a Bouguer gravity map, states, “All of them have used the method for estimating the residual field over the entire area under consideration, while in this case the method will be applied to obtain the same on the boundaries only.” He then proceeds to compute residuals on the boundaries from the second degree polynomial [Formula: see text], (10) representing the regional field over the entire region. However, by this procedure the residuals on the boundaries are influenced by all the gravity observations inside the region, as implied by equation (16) where the vector A is a function of the Bouguer map values over the whole area. In fact, equation (12) could be solved for the vector b, and the condition [Formula: see text] arising from [Formula: see text] (A) could be introduced. The following expression for the regional over the entire area results: [Formula: see text], and there is no need for additional computations by the relaxation technique described.

On outward and inward productions in the categorical graph-grammar approach and Δ-grammars

1996 ◽  
Vol 6 (6) ◽  
pp. 527-543
Author(s):  
Hans J. Schneider
Keyword(s):  
Point Of View ◽  
Graph Grammar ◽  
Categorical Approach ◽  
Left Hand ◽  
Slight Generalization ◽  
Categorical Setting ◽  
Close Relationship ◽  
Defining Graph ◽  
The Right ◽  
The Relationship

We consider the relationship between three ways of defining graph derivability. That the traditional double-pushout approach and Banach's inward version are equivalent in the case of injective left-hand sides is proved in a purely categorical setting. In the case of noninjective left-hand sides, equivalence can be shown in special categories if the right-hand side is injective. Both approaches have the same generative power in the category of graphs if the pushout connecting the outward production with the inward one is a pullback as well. Finally, it is shown that Banach's point of view establishes a close relationship between the categorical approach and Kaplan's Δ-grammars, allowing a slight generalization of Δ-grammars and making them an operational description of the categorical approach.

Note on some Attic Stelai

1898 ◽  
Vol 18 ◽  
pp. 133-135
Author(s):  
John Forbes White
Keyword(s):  
Point Of View ◽  
The Other ◽  
Great Work ◽  
Left Hand ◽  
Right Hand ◽  
The Right

I should like to call attention to an attitude in some of the Attic stelai which has attraced little, if any, notice, while its meaning, so far as I know, has met with no consideration.The best example of the attitude is to be found in the beautiful Plate XXIV. of Mr. Percy Gardner's ‘Sculptured Tombs of Hellas’ (Conze, Pl. LXXVIII). Mr. Gardner describes the sitting figure as ‘a lady stretching out both hands towards a matron who stands before her,’ certainly an inadequate description of a peculiar attitude. Conze, in his great work ‘Die Attischen Grabreliefs,’ says that the standing figure with the left hand takes hold of the right arm of the sitter on the under side (unterfasst). But this seems to me to miss the point. It is not the right arm but the right wrist of the sitter that is laid hold of. The forefingers of the standing figure are extended along the forearm and the thumb is raised at the wrist, so that the sitter's right hand lies softly in a sort of couch. From an artistic point of view the attitude is a remarkable one, being unlike that of any of the other best known stelai.

On: “A Method of Computing Residual Anomalies from Bouguer Gravity Map by Applying Relaxation Technique,” by M. K. Paul (GEOPHYSICS, August 1967, p. 708–719)

Geophysics ◽  
1969 ◽  
Vol 34 (3) ◽  
pp. 480-483
Author(s):  
K. Biesheuvel
Keyword(s):  
Digital Computer ◽  
High Speed ◽  
New Method ◽  
Relaxation Technique ◽  
Bouguer Gravity ◽  
Gravity Map

The following comments on this new method indicate some limitations of the technique as well as a more practical means of solving the equations involved by high‐speed digital computer.

On: “A Method of Computing Residual Anomalies from Bouguer Gravity Map by Relaxation Technique” by Dr. M. K. Paul (GEOPHYSICS, August 1967, p. 708–719)

Geophysics ◽  
1968 ◽  
Vol 33 (3) ◽  
pp. 527-527
Author(s):  
P. S. Naidu
Keyword(s):  
Least Squares ◽  
Boundary Curve ◽  
Closed Curve ◽  
Relaxation Technique ◽  
Bouguer Gravity ◽  
Residual Field ◽  
Gravity Map ◽  
Anomaly Region

Dr. M. K. Paul has presented a very interesting method of separating the residual and regional fields from a Bouguer gravity map. In essence, his method is the estimation of the residual field along a closed curve enclosing, but away from, the anomaly by the usual least‐squares technique. Next he extrapolates the residual field on the boundary curve into the anomaly region by a relaxation technique.

Editorial Note

1946 ◽  
Vol 11 (1) ◽  
pp. 2-2
Keyword(s):  
Editorial Note ◽  
Speech Sounds ◽  
Left Hand ◽  
Hand Column ◽  
Right Hand ◽  
Infant Speech ◽  
The Right

In the article “Infant Speech Sounds and Intelligence” by Orvis C. Irwin and Han Piao Chen, in the December 1945 issue of the Journal, the paragraph which begins at the bottom of the left hand column on page 295 should have been placed immediately below the first paragraph at the top of the right hand column on page 296. To the authors we express our sincere apologies.

Is the Future the Right Time?

2010 ◽  
Vol 57 (4) ◽  
pp. 308-314 ◽  
Author(s):  
Marc Ouellet ◽  
Julio Santiago ◽  
Ziv Israeli ◽  
Shai Gabay
Keyword(s):  
Auditory Task ◽  
English Speakers ◽  
Visual Modality ◽  
Opposite Pattern ◽  
Time Line ◽  
Temporal Reference ◽  
Left Hand ◽  
Reading Direction ◽  
Mental Time Line ◽  
The Right

Spanish and English speakers tend to conceptualize time as running from left to right along a mental line. Previous research suggests that this representational strategy arises from the participants’ exposure to a left-to-right writing system. However, direct evidence supporting this assertion suffers from several limitations and relies only on the visual modality. This study subjected to a direct test the reading hypothesis using an auditory task. Participants from two groups (Spanish and Hebrew) differing in the directionality of their orthographic system had to discriminate temporal reference (past or future) of verbs and adverbs (referring to either past or future) auditorily presented to either the left or right ear by pressing a left or a right key. Spanish participants were faster responding to past words with the left hand and to future words with the right hand, whereas Hebrew participants showed the opposite pattern. Our results demonstrate that the left-right mapping of time is not restricted to the visual modality and that the direction of reading accounts for the preferred directionality of the mental time line. These results are discussed in the context of a possible mechanism underlying the effects of reading direction on highly abstract conceptual representations.

Social Justice and Critical/Performative Communicative Pedagogy

2011 ◽  
Vol 4 (1) ◽  
pp. 21-34 ◽  
Author(s):  
John T. Warren
Keyword(s):  
Qualitative Research ◽  
Social Justice ◽  
Classroom Interactions ◽  
Point Of View ◽  
Constitutive Relationship ◽  
Just World ◽  
The World ◽  
Analytical Point ◽  
Embodied Pedagogy

Through narratives and critical interrogations of classroom interactions, I sketch an argument for a co-constitutive relationship between qualitative research and pedagogy that imagines a more reflexive and socially just world. Through story, one comes to see an interplay between one's own experiences, one's own desires and one's community — I seek to focus that potential into an embodied pedagogy that highlights power and, as a result, holds all of us accountable for our own situated-ness in systems of power in ways that grant us potential places from which to enact change. Key in this discussion is a careful analytical point of view for seeing the world and a set of practices that work to imagine new ways of talking back.

On the Impact of Aptness, Conventionality and Familiarity on Metaphor Processing from a Meta-analytical Point of View

2020 ◽  
Vol 6 (1) ◽  
pp. 55-106
Author(s):  
Csilla Rákosi
Keyword(s):  
Meta Analysis ◽  
Point Of View ◽  
Psycholinguistic Research ◽  
Analytical Point ◽  
Metaphor Processing ◽  
The Impact

Psycholinguistic research into metaphor processing is burdened with empirical problems as experiments provide diverging evidence on the impact of conventionality, familiarity and aptness, and with conceptual issues as the interpretation and operationalization of the three concepts mentioned, as well as the related predictions which can be drawn from theories of metaphor processing, are controversial in the literature. This paper uses tools of statistical meta-analysis in order to bring us closer to the solution of these problems and reveal future lines of research.

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