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Large-scale renewable energy integration decreases the system inertia and restricts frequency regulation. To maintain the frequency stability, allocating adequate frequency-sup-port sources poses a critical challenge to planners.
Chengming Zhang +5 more
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Spikes are an important class of 3-connected matroids. For an integer , there is a unique binary r-spike denoted by Zr. When a circuit-hyperplane of Zr is relaxed, we obtain another spike and repeating this procedure will produce other non-binary spikes.
Vahid Ghorbani +2 more
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Geometry of normal graphs in Euclidean space and applications to the Penrose inequality in Minkowski [PDF]
The Penrose inequality in Minkowski is a geometric inequality relating the total outer null expansion and the area of closed, connected and spacelike codimension-two surfaces S in the Minkowski spacetime, subject to an additional convexity assumption. In
Mars, Marc, Soria, Alberto
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Contigious hyperquadrics of coequipped hyperbands
We consider hyperquadrics that are internally connected to coequipped hyperbands in the projective space. Specifically, a hyperquadric tangent to a hyperplane at the point is called a contiguous hyperquadric of a hyperband if it has a second-order ...
Yu. Popov
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Control method for shifting the natural frequency of vibration system coupled by springs
Technology development to improve road induced noise is necessary with the market expansion of the electric motor drive vehicles, because road induced noise is noticeable under no engine noise condition.
Masashi KOMADA +4 more
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Stable Intersections of Tropical Varieties [PDF]
We give several characterizations of stable intersections of tropical cycles and establish their fundamental properties. We prove that the stable intersection of two tropical varieties is the tropicalization of the intersection of the classical varieties
Jensen, Anders, Yu, Josephine
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Generic Rigidity Matroids with Dilworth Truncations [PDF]
We prove that the linear matroid that defines generic rigidity of $d$-dimensional body-rod-bar frameworks (i.e., structures consisting of disjoint bodies and rods mutually linked by bars) can be obtained from the union of ${d+1 \choose 2}$ graphic ...
Tanigawa, Shin-ichi
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Toric and tropical compactifications of hyperplane complements [PDF]
These lecture notes are based on lectures given by the author at the summer school "Arrangements in Pyr\'en\'ees" in June 2012. We survey and compare various compactifications of complex hyperplane arrangement complements.
Denham, Graham
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Grid-PPPS: A Skyline Method for Efficiently Handling Top-k Queries in Internet of Things
A rapid development in wireless communication and radio frequency technology has enabled the Internet of Things (IoT) to enter every aspect of our life.
Sun-Young Ihm +2 more
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Dual polar spaces of arbitrary rank [PDF]
In 1982 P. Cameron gave a characterisation of dual polar spaces of finite rank viewed as point-line spaces. This characterisation makes essential use of the fact that dual polar spaces of finite rank have finite diameter.
Huggenberger, Simon
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