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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets II
无限维 凸紧集 混合体积
2023/11/6
Using the results presented in the previous lecture, namely the generalization of the Tsirelson's theorem [2] to mixed volumes, we calculate the mixed volume of the closed convex hulls of the two orth...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets I
无限维 凸紧集 混合体积
2023/11/6
Let K be a convex compact subset of a separable Hilbert space H. One of the most important geometric characteristics of K is its intrinsic volumes. In the finitedimensionalcase (K ? R^d), the intrinsi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Differentiability of volume functions for big classes
大类 体积函数 可微性
2023/4/17
We report a recent paper of Witt Nystrom, where he proved the differentiability of volume functions using deformation to the normal cone.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Exponential decay of intersection volume and applications
交叉体积 指数衰减 公制空间
2023/4/23
When two balls in a metric space have small intersection? We give some natural conditions to guarantee an exponential decay on the volume of such intersections. Our proof is conceptually simple, makin...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Volume preserving Gauss curvature flow of convex hypersurfaces in the hyperbolic space
双曲空间 凸超曲面 保体积 高斯曲率流
2023/5/15
In this talk, we discuss Y. Wei, B. Yang and T. Zhou’s preprint arXiv:2210.06035, in which they consider volume preserving curvature flows of smooth, closed and convex hypersurfaces in hyperbolic spac...
More than 100 years of Arctic sea ice volume reconstructed from ships' logbooks（图）
Arctic sea ice volume reconstructed ships logbooks
2019/10/21
Our knowledge of dwindling sea ice coverage in the Arctic Ocean comes mostly through satellites, which have imaged sea ice from above since 1979. The University of Washington Pan-Arctic Ice Ocean and ...
REMOTE SENSING ANALYSIS OF VOLUME IN TAIHU LAKE: APPLICATION FOR ICESAT/HYDROWEB AND LANDSAT DATA
Taihu Lake Surface area Water level Lake Volume variation Water balance
2018/5/15
In order to evaluate the fluctuation of Taihui Lake, ICESat/Hydroweb and Landsat data recorded from 1975 to 2015 were used to examine changes in lake level and area, derived from Normalized Difference...
Emerging understanding and measurement of plasma volume expansion in pregnancy
inflammation iron obesity obstetric outcomes plasma volume pregnancy
2018/11/21
Plasma volume expansion is an important component of a successful pregnancy. The failure of maternal plasma volume expansion has been implicated in adverse obstetric outcomes such as pre-eclampsia, fe...
Plant Genes May Lack Off Switch,But Have Volume Control
Plant Genes Lack Off Switch Volume Control
2017/4/27
Scientists at the University of California, Davis have discovered that DNA sequences thought to be essential for gene activity can be expendable. Sequences once called junk sometimes call the shots in...
Durable proteins make life possible in the crushing depths of the ocean, and may have evolved in life below the surface of ice-bound oceanic exo-planets. These proteins stay folded – allowing them to ...
For a compact 3-manifold M with arbitrary (possibly empty) boundary, we give a
parametrization of the set of conjugacy classes of boundary-unipotent representations of π1(M)
into SL(n, C). Our param...
We give an e
ient simpli
ial formula for the volume and ChernSimons invariant of a boundary-paraboli
PSL(2,C)representation of a tame
3manifold
Minimum Volume Confidence Regions for a Multivariate Normal Mean Vector
James-Stein estimator Fisher-von Mises distributio
2015/8/20
Since Stein’s original proposal in 1962, a series of papers have constructed confidence regions of smaller volume than the standard spheres for the mean vector of
a multivariate normal distribu...
A GIS-based application for volume estimation and spatial distribution analysis of tephra fallout: a case study of the 122 BC Etna eruption
Geographic Information System (GIS) Tephra fallout Volume estimation Etna
2015/8/18
In this study, we demonstrate the use of a geo-spatial information system for volume estimation of fallout deposits and for identification of syn-eruptive and post-eruptive depositional mechanisms. Fo...
USING INDIVIDUAL TREE CROWN APPROACH FOR FOREST VOLUME EXTRACTION WITH AERIAL IMAGES AND LASER POINT CLOUDS
Individual Tree Crown (ITC) Laser scanning Tree height Aerial imagery Segmentation
2015/8/13
The objective of this paper is to improve the cost-effectiveness (accuracy of estimates versus applied costs) of present ITC
(Individual Tree Crown) approaches which are based on 1) aerial imagery or...