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Detection and Emergence of Climate Change Signals in Extreme Sea Levels: A Global-scale Analysis
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Topology and its Applications, 2019
Compacta in this paper are compact Hausdorff spaces; continua are connected compacta. If $X$ is a space and $\{a,b\}\subset X$, then $[a,b]_X$ equals the intersection of the subcontinua of $X$ that contain the set $\{a,b\}$. One may think of $[a,b]_X$ as the ``subcontinuum interval'', or just the ``interval'', determined by $a$ and $b$.
Anderson, Daron, Bankston, Paul
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Compacta in this paper are compact Hausdorff spaces; continua are connected compacta. If $X$ is a space and $\{a,b\}\subset X$, then $[a,b]_X$ equals the intersection of the subcontinua of $X$ that contain the set $\{a,b\}$. One may think of $[a,b]_X$ as the ``subcontinuum interval'', or just the ``interval'', determined by $a$ and $b$.
Anderson, Daron, Bankston, Paul
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Extreme point axioms for closure spaces
Discrete Mathematics, 2006 A pair (X,τ) of a finite set X and a closure operator τ:2X→2X is called a closure space. The class of closure spaces includes matroids as well as antimatroids. Associated with a closure space (X,τ), the extreme point operator ex:2X→2X is defined as ex(A)=
Kazutoshi Ando
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SIAM Review, 1968
Abstract : It is shown that if A is an integral matrix having linearly independent rows, then the extreme points of the set of nonnegative solutions to Ax = b are integral for all integral b if and only if the determinant of every basis matrix is plus or minus 1.
Veinott, Arthur F. jun., Dantzig, G. B.
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Abstract : It is shown that if A is an integral matrix having linearly independent rows, then the extreme points of the set of nonnegative solutions to Ax = b are integral for all integral b if and only if the determinant of every basis matrix is plus or minus 1.
Veinott, Arthur F. jun., Dantzig, G. B.
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Extreme Points and Strongly Extreme Points of Musielak–Orlicz Sequences Spaces
Acta Mathematica Sinica, English Series, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Xinbo, Wang, Tingfu, Yu, Feifei
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An extreme-point-ranking algorithm for the extreme-point mathematical programming problem
Computers & Operations Research, 1986Consider the extreme-point mathematical programming problem (EPMP): maximize cx subject to \(x\in X\cap V\), where \(X=\{x\in R^ n:\) Ax\(\leq b\}\) and V is the set of vertices of the polytope \(Y=\{x\in R^ n:\) Dx\(\leq f\), \(x\geq 0\}\). The algorithms for solving EPMP are of three basic types, namely, extreme-point ranking, branch and bound and ...
Hanif D. Sherali, S. Elizabeth Dickey
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Extremal Splittings of Point Processes
Mathematics of Operations Research, 1985The sequence with nth term defined by [(n + 1)p] − [np] is an extremal zero-one valued sequence of asymptotic mean p in the following sense (for example): if a fraction p of customers from a point process with iid interarrival times is sent to an exponential server queue according to a prespecified splitting sequence, then the long-term average queue ...
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Mathematics of Operations Research, 1988
The extreme points of sets of probability measures—determined by a finite number of generalized moment conditions—are characterized. Together with an integral representation theorem the characterization is used to optimize affine functionals.
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The extreme points of sets of probability measures—determined by a finite number of generalized moment conditions—are characterized. Together with an integral representation theorem the characterization is used to optimize affine functionals.
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