Simple graphical methods for estimating the confidence region about the orientation of the intersection of two planes

1978 ◽  
Vol 15 (10) ◽  
pp. 1598-1604 ◽  
Author(s):  
D. Cruden ◽  
D. Kelker

We give a simple graphical method for the construction on a stereonet of the confidence region for the orientation of the line of intersection of two planes. The method applies when the poles to the planes have been estimated by large and approximately equal numbers of measurements which may be treated as samples from two Fisher distributions of equal and large precision parameters. The method requires the estimation of the acute angle between poles to the planes and the range of the plunges of the poles.When the samples of poles are samples of large size from two Bingham distributions tightly clustered about their common plane, a more complex graphical construction is available. It requires the estimation of scatter of the poles in and perpendicular to the common plane and some simple calculations.The methods are applicable to a variety of problems in structural geology and rock mechanics.

Biology ◽  
2021 ◽  
Vol 10 (6) ◽  
pp. 522
Author(s):  
Régis Santos ◽  
Wendell Medeiros-Leal ◽  
Osman Crespo ◽  
Ana Novoa-Pabon ◽  
Mário Pinho

With the commercial fishery expansion to deeper waters, some vulnerable deep-sea species have been increasingly captured. To reduce the fishing impacts on these species, exploitation and management must be based on detailed and precise information about their biology. The common mora Mora moro has become the main deep-sea species caught by longliners in the Northeast Atlantic at depths between 600 and 1200 m. In the Azores, landings have more than doubled from the early 2000s to recent years. Despite its growing importance, its life history and population structure are poorly understood, and the current stock status has not been assessed. To better determine its distribution, biology, and long-term changes in abundance and size composition, this study analyzed a fishery-dependent and survey time series from the Azores. M. moro was found on mud and rock bottoms at depths below 300 m. A larger–deeper trend was observed, and females were larger and more abundant than males. The reproductive season took place from August to February. Abundance indices and mean sizes in the catch were marked by changes in fishing fleet operational behavior. M. moro is considered vulnerable to overfishing because it exhibits a long life span, a large size, slow growth, and a low natural mortality.


1965 ◽  
Vol 55 (3) ◽  
pp. 641-651 ◽  
Author(s):  
K. Helbig

Abstract A method is described which allows the graphical construction of rays and travel times. The velocity versus radius curve is graphically converted into a “normalized slowness graph,” in which all variables describing a ray and its travel time can be represented by geometric quantities. It is found that most of the well-known analytic relations between the properties of the velocity versus radius distribution and the form of rays have their geometric counterparts and that these geometric relations can be derived rather simply.


1945 ◽  
Vol 12 (4) ◽  
pp. A209-A210
Author(s):  
Glenn Murphy

Abstract Graphical methods are available for determining principal strains when observed strains are measured along gage lines which make angles of 45 deg or 60 deg with each other. In this paper the author presents a simplified graphical method for the general case in which angles between the gage lines may have any arbitrary values.


1975 ◽  
Vol 12 (1) ◽  
pp. 78-87
Author(s):  
P. S. Barnett

Graphical methods of solution for networks containing transmission lines with attenuation but no distortion are presented. These are similar to those available for the solution of travelling waves on lossless transmission lines using the Schnyder-Bergeron method. The equations used are derived and are of the same form as those used in the method of Schnyder and Bergeron. Examples illustrating the graphical methods are given.


Genome ◽  
1992 ◽  
Vol 35 (5) ◽  
pp. 864-869 ◽  
Author(s):  
R. W. Masuelli ◽  
E. L. Camadro ◽  
A. O. Mendiburu

Solanum commersonii Dun. (cmm) is a diploid wild species of potential value for potato breeding. Ploidy level manipulations are necessary to cross this species with the common potato. This could be achieved by the use of "bridge" species and sexual polyploidization in which 2n gametes are involved. Eight introductions of cmm were screened for production of (i) diplandroids, through cytological observations confirmed by controlled 4x Solanum acaule Bitt. (acl) × 2x cmm crosses, and (ii) diplogynoids, by controlled 2x cmm × 2x Solanum gourlayi Haw. (grl) crosses. Eleven plants produced 1–3% large size pollen and one plant produced more than 3% of this type of pollen. Twelve triploid and seven tetraploid hybrids were obtained when these plants were used in crosses with acl. On the other hand, 75 triploid hybrids were obtained from the second type of cross. The average pollen stainability in the diplogynoid triploid cmm × grl hybrids was 18.9%, with a range of 2–34.4%. Forty-four to 54.6% of meiocytes with parallel spindles in metaphase II and anaphase II were observed in microsporogenesis of these hybrids. For each clone, the frequency of triplandroids predicted according to the frequency of meiocytes with parallel, fused and tripolar spindles in anaphase II were 52.3, 36.6, and 45.2%, respectively. These values were highly superior to the frequency of triplandroids predicted according to the number of dyads and triads observed, 8.8, 0.7, and 3.9%, respectively. However, triplandroid frequencies predicted according to the frequencies of fused and tripolar spindles agree with the triplandroid frequencies observed. The frequencies of stainable pollen grains are not completely accounted for by the formation of fused and tripolar spindles. In view of the variability encountered in size, it is assumed that a high proportion of gametophytes with aneuploid chromosome numbers are also stainable. A hypothesis is put forward regarding the possible genetic control of triplandroid formation in the diplogynous triploid hybrids analyzed.Key words: 2n gametes, triploid hybrids, spindle orientation, Solanum commersonii Dun.


1888 ◽  
Vol 7 ◽  
pp. 2-3
Author(s):  
Tait

If ρ be the vector of a corner of a square in one system, σ that in a system derived without inversion, we must obviously havek being the unit-vector perpendicular to the common plane.


1995 ◽  
Vol 85 (9) ◽  
pp. 497-499 ◽  
Author(s):  
E Sobel

A case history of an 8-year-old girl with cerebral gigantism (Sotos' syndrome) has been presented. Throughout her life, this child has demonstrated all of the common features of Sotos' syndrome including large size at birth, excessive growth during childhood, dysmorphic craniofacial features, delay in motor and speech development, generalized clumsiness, and awkward gait. Family history was contributory with delays in early language development and the possibility that the child's father had Sotos' syndrome. When evaluating a pediatric patient for pes planus, delayed walking, and gait problems, the practitioner should consider the entire clinical profile and unusual etiologies.


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