LUNGEOMETRY- GEOMETRICAL INVESTIGATION OF LUNGE

2015 ◽  
Vol 3 (1) ◽  
pp. 855-862
Author(s):  
R.Vinodh Rajkumar ◽  
Keyword(s):  
Geometrical Investigation

scholarly journals XXXIX.—On Centres, Faisceaux, and Envelopes of Homology

1867 ◽  
Vol 24 (3) ◽  
pp. 591-615
Author(s):  
Hugh Martin
Keyword(s):  
Geometrical Investigation

One of the theorems of a paper which Professor Kelland did me the honour to read to the Society, in March 1865, opens up a field of geometrical investigation so interesting and fertile, that I venture to ask attention to some of the results of a partial examination of it in the following series of propositions. I think it right to explain, that I do not venture to expect attention to them on account of any importance attaching to them individually, but on account of their number and somewhat elegant relations. Considered individually, they may be of little importance, having no claim to rank, so to speak, among propositions of a planetary magnitude. But a system of moons, however diminutive, may become interesting if they present elegant relations among their mean motions and longitudes; and an orbit that would be grudged to a pigmy planet may be willingly accorded to a host of planetoids. If this is still too exalted language in which to speak of the following results, I can at least confidently affirm that they indicate a direction in which an analyst of very moderate attainments may easily discover for himself a shower of meteors.

Projective Geometry in the One-Dimensional Affine Group

1964 ◽  
Vol 16 ◽  
pp. 683-700 ◽  
Author(s):  
Hans Schwerdtfeger
Keyword(s):  
Projective Space ◽  
Projective Plane ◽  
Simple Group ◽  
Final Section ◽  
Theoretical Interpretation ◽  
Special Group ◽  
One Dimensional ◽  
The One ◽  
Straight Lines ◽  
Geometrical Investigation

The idea of considering the set of the elements of a group as a space, provided with a topology, measure, or metric, connected somehow with the group operation, has been used often in the work of E. Cartan and others. In the present paper we shall study a very special group whose space can be embedded naturally into a projective plane and where the straight lines have a very simple group-theoretical interpretation. It remains to be seen whether this geometrical embedding in a projective space can be extended to other classes of groups and whether the method could become an instrument of geometrical investigation, like co-ordinates or reflections. In the final section it is shown how a geometrical theorem may lead to relations within the group.

scholarly journals Geometrical investigation of a U-shaped oscillating water column wave energy device

2020 ◽  
Vol 97 ◽  
pp. 102105
Author(s):  
De-zhi Ning ◽  
Bao-ming Guo ◽  
Rong-quan Wang ◽  
Thomas Vyzikas ◽  
Deborah Greaves
Keyword(s):  
Water Column ◽  
Wave Energy ◽  
Oscillating Water Column ◽  
Energy Device ◽  
Geometrical Investigation

Geometrical investigation of the kinetic evolution of the magnetic field in a periodic flux rope

2013 ◽  
Vol 20 (8) ◽  
pp. 082501 ◽  
Author(s):  
A. L. Restante ◽  
S. Markidis ◽  
G. Lapenta ◽  
T. Intrator
Keyword(s):  
Magnetic Field ◽  
Flux Rope ◽  
The Magnetic Field ◽  
Geometrical Investigation

scholarly journals Explicit birational geometry of 3-folds and 4-folds of general type, III

2014 ◽  
Vol 151 (6) ◽  
pp. 1041-1082 ◽  
Author(s):  
Jungkai A. Chen ◽  
Meng Chen
Keyword(s):  
General Type ◽  
Birational Geometry ◽  
Type Iii ◽  
Effective Application ◽  
Previous Series ◽  
Geometrical Investigation

Nonsingular projective 3-folds $V$ of general type can be naturally classified into 18 families according to the pluricanonical section index${\it\delta}(V):=\text{min}\{m\mid P_{m}\geqslant 2\}$ since $1\leqslant {\it\delta}(V)\leqslant 18$ due to our previous series (I, II). Based on our further classification to 3-folds with ${\it\delta}(V)\geqslant 13$ and an intensive geometrical investigation to those with ${\it\delta}(V)\leqslant 12$, we prove that $\text{Vol}(V)\geqslant \frac{1}{1680}$ and that the pluricanonical map ${\rm\Phi}_{m}$ is birational for all $m\geqslant 61$, which greatly improves known results. An optimal birationality of ${\rm\Phi}_{m}$ for the case ${\it\delta}(V)=2$ is obtained. As an effective application, we study projective 4-folds of general type with $p_{g}\geqslant 2$ in the last section.

A geometrical investigation on the generalized l p /l q norm for blind deconvolution

2017 ◽  
Vol 134 ◽  
pp. 63-69 ◽  
Author(s):  
Xiaodong Jia ◽  
Ming Zhao ◽  
Matt Buzza ◽  
Yuan Di ◽  
Jay Lee
Keyword(s):  
Blind Deconvolution ◽  
Geometrical Investigation
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