On: “THE GRAVITATIONAL ATTRACTION OF A RIGHT RECTANGULAR PRISM,” BY DEZSÖ NAGY (GEOPHYSICS, APRIL, 1966, PP. 362–371)

Geophysics ◽  
1966 ◽  
Vol 31 (5) ◽  
pp. 987-987 ◽  
Author(s):  
J. Cl. De Bremaecker
Keyword(s):  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Simple Method ◽  
Coordinate Axis

The recent paper by Dezsö Nagy, “The gravitational attraction of a right rectangular prism,” is certainly of great interest. It might be pointed out, however, that in his textbook published in 1930, MacMillan already gave a formula for computing the potential of this body, as well as an extremely simple method to compute the derivatives along a coordinate axis. The Dover reprint is widely available.

THE GRAVITATIONAL ATTRACTION OF A RIGHT RECTANGULAR PRISM

Geophysics ◽  
1966 ◽  
Vol 31 (2) ◽  
pp. 362-371 ◽  
Author(s):  
Dezsö Nagy
Keyword(s):  
Gravity Field ◽  
Dimensional Analysis ◽  
Three Dimensional ◽  
Vertical Component ◽  
Gravitational Effect ◽  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Closed Expression ◽  
Building Element ◽  
Terrain Corrections

The derivation of a closed expression is presented to calculate the vertical component of the gravitational attraction of a right rectangular prism, with sides parallel to the coordinate axis. As any configuration can be expressed as the sum of prisms of various sizes and densities, the computation of the total gravitational effect of bodies of arbitrary shapes at any point outside of or on the boundary of the bodies is straightforward. To calculate the gravitational effect of the “unit” building element a subroutine called Prism has been developed, tested, and incorporated, in one program to calculate terrain corrections, and in another program for three‐dimensional analysis of a gravity field.

On: “THE GRAVITATIONAL ATTRACTION OF A RIGHT RECTANGULAR PRISM,” BY DEZSÖ NAGY (GEOPHYSICS, APRIL, 1966, PP. 362–371)

Geophysics ◽  
1966 ◽  
Vol 31 (5) ◽  
pp. 987-987 ◽  
Author(s):  
Charles E. Corbató
Keyword(s):  
Vertical Component ◽  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Gravitational Effects ◽  
Rectangular Parallelopiped

You might be interested to note that the results obtained by Nagy (1966) and published in Geophysics concerning the vertical component of the gravitational attraction of a right rectangular prism not only had been published previously by Sorokin and Haáz but also were derived and published (in English) 136 years ago by Everest (1830, p. 94–97). Everest calculated closed expressions which are equivalent to that of Nagy for the horizontal and vertical gravitational effects of a rectangular parallelopiped and used these equations to estimate the topographic deflection of the plumb bob due to the Satpura Range in India.

On: “The Gravitational Attraction of a Right Rectangular Prism” by Dezsö Nagy (GEOPHYSICS, April 1966, p. 362–371)

Geophysics ◽  
1967 ◽  
Vol 32 (5) ◽  
pp. 920-920
Author(s):  
P. Vallabh Sharma
Keyword(s):  
Closed Form ◽  
Rectangular Prism ◽  
Gravitational Attraction

I would like to offer the following comment on the paper “The Gravitational Attraction of a Right Rectangular Prism” by Nagy in the April 1966 issue of Geophysics. It might be of interest to note that besides the papers (Sorokin, 1951; Haáz, 1953) which have been cited by the author, an earlier publication by Ansel (1936) also gives a solution in closed form for the gravitational attraction of a rectangular prism. Furthermore, Müller (1963) has given a solution which is valid for all possible positions of the prism with vertical sides.

To: “The Gravitational Attraction of a Right Rectangular Prism” by Dezsö Nagy, April, 1966, p. 362–371

Geophysics ◽  
1967 ◽  
Vol 32 (2) ◽  
pp. 368-368
Keyword(s):  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Research Scientist ◽  
Pan American

Some typographical errors in the paper entitled “The Gravitational Attraction of a Right Rectangular Prism” by Dezsö Nagy, April, 1966, p. 362–371, were kindly pointed out by Donald B. Johnson, Research Scientist, Pan American Corp., Tulsa.

A simple way for producing holographic filters suitable for image improvement

1978 ◽  
Vol 36 (1) ◽  
pp. 226-227
Author(s):  
K.-H. Herrmann ◽  
E. Reuber ◽  
P. Schiske
Keyword(s):  
Transfer Functions ◽  
Diffraction Order ◽  
Lateral Position ◽  
Simple Method ◽  
Spatial Frequencies ◽  
Resolution Electron ◽  
Wiener Filters ◽  
Image Improvement ◽  
Optical Reconstruction ◽  
Set Up

Aposteriori deblurring of high resolution electron micrographs of weak phase objects can be performed by holographic filters [1,2] which are arranged in the Fourier domain of a light-optical reconstruction set-up. According to the diffraction efficiency and the lateral position of the grating structure, the filters permit adjustment of the amplitudes and phases of the spatial frequencies in the image which is obtained in the first diffraction order.In the case of bright field imaging with axial illumination, the Contrast Transfer Functions (CTF) are oscillating, but real. For different imageforming conditions and several signal-to-noise ratios an extensive set of Wiener-filters should be available. A simple method of producing such filters by only photographic and mechanical means will be described here.A transparent master grating with 6.25 lines/mm and 160 mm diameter was produced by a high precision computer plotter. It is photographed through a rotating mask, plotted by a standard plotter.

Rotary Beveling for In Situ Thin-Section Microscopy of Cell Cultures

1981 ◽  
Vol 39 ◽  
pp. 550-551
Author(s):  
Dean A. Handley ◽  
Jack T. Alexander ◽  
Shu Chien
Keyword(s):  
Cell Growth ◽  
Cell Cultures ◽  
Molecular Interactions ◽  
Convenient Method ◽  
Petri Dish ◽  
Simple Method ◽  
Thin Section Microscopy ◽  
Thin Sectioning ◽  
Organic Fluids

In situ preparation of cell cultures for ultrastructural investigations is a convenient method by which fixation, dehydration and embedment are carried out in the culture petri dish. The in situ method offers the advantage of preserving the native orientation of cell-cell interactions, junctional regions and overlapping configurations. In order to section after embedment, the petri dish is usually separated from the polymerized resin by either differential cryo-contraction or solvation in organic fluids. The remaining resin block must be re-embedded before sectioning. Although removal of the petri dish may not disrupt the native cellular geometry, it does sacrifice what is now recognized as an important characteristic of cell growth: cell-substratum molecular interactions. To preserve the topographic cell-substratum relationship, we developed a simple method of tapered rotary beveling to reduce the petri dish thickness to a dimension suitable for direct thin sectioning.

Development of a simple method for the determination of single nucleotide polymorphisms

2010 ◽  
Vol 34 (8) ◽  
pp. S75-S75
Author(s):  
Weifeng Zhu ◽  
Zhuoqi Liu ◽  
Daya Luo ◽  
Xinyao Wu ◽  
Fusheng Wan
Keyword(s):  
Single Nucleotide Polymorphisms ◽  
Nucleotide Polymorphisms ◽  
Simple Method ◽  
Single Nucleotide
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