Results 81 to 90 of about 761 (218)
Mapping River Bed Topography in Whitewater Rapids Using Bathymetric LiDAR
ABSTRACT Bathymetric LiDAR captures river topography efficiently for clear and shallow water, but for mountain rivers, whitewater rapids still pose challenges. This study proposes a novel method to enable the extraction of bottom returns specifically in turbulent whitewater sections.
Jan Rhomberg‐Kauert +5 more
wiley +1 more source
On Tangent Spaces to Schubert Varieties
Let \(G\) be a semi-simple, simply connected, algebraic group, \(T\) a maximal torus in \(G\), \(W=N_G(T)/T\) the Weyl group and \(B\) a Borel subgroup of \(G\) containing \(T\). For \(w\in W\), let \(e_w\) be the point of \(G/B\) corresponding to the coset \(wB\) and let \(X(w)\) be the associated Schubert variety, i.e., the Zariski closure of \(Be_w\)
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The endangered tri‐spine horseshoe crab (Tachypleus tridentatus), a “living fossil” crucial to coastal ecology and biomedical research, is experiencing severe population declines. Effective conservation requires efficient monitoring, which traditional methods cannot deliver at scale. We develop an integrated UAV deep learning framework tailored to this
Xiaohai Chen +7 more
wiley +1 more source
The degree of a Schubert variety
Studying integration along Bott-Samelson cycles the author proves the following beautiful explicit formula for the degree of the Schubert variety \(X_w\) in the flag manifold \(G/T\) associated to an element \(w\) in the Weyl group: Let \(b_w\) be the Kähler sequence and \(A_w\) the Cartan matrix then, \[ \sum \frac{k!b_1^{r_1}\cdots b_k^{r_k}}{r_1 ...
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Schubert varieties, linear codes and enumerative combinatorics
We consider linear error correcting codes associated to higher dimensional projective varieties defined over a finite field. The problem of determining the basic parameters of such codes often leads to some interesting and difficult questions in combinatorics and algebraic geometry.
GHORPADE, SR, TSFASMAN, MA
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Museum specimens provide a rich source of historical DNA, enabling insights into phylogenetic relationships and demographic history of the endangered Koklass Pheasant. Our findings uncovered a previously unrecognized population in Guizhou province and highlighted elevated extinction risk in populations from Anhui province and Southern China, informing ...
Zhiyong Jiang +9 more
wiley +1 more source
Schubert varieties and generalizations
This contribution reviews the main results on Schubert varieties and their generalizations. It covers, more or less, the material of the lectures at the Seminar These were partly expository, introducing material needed by other lecturers. In particular, Section 1 reviews ‘classical’ material, used in several of the other contributions.
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Abstract This paper explores the relationship between wetland ecosystems and prehistoric lakeshore settlements within the Lake Ohrid basin (a biodiversity hotspot) by considering plant food systems at Ploča Mičov Grad, North Macedonia. The mid‐fifth millennium (c.4555–4373 to 4437–4241 cal BCE) waterlogged assemblage contained a diverse spectrum of ...
Amy Holguin +14 more
wiley +1 more source
MINIMAL EQUATIONS FOR MATRIX SCHUBERT VARIETIES
Explicit minimal generators for Fulton's Schubert determinantal ideals are determined along with some implications.
Gao, Shiliang, Yong, Alexander
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