Results 51 to 60 of about 344,286 (183)
Extremal sizes of subspace partitions
A subspace partition $\Pi$ of $V=V(n,q)$ is a collection of subspaces of $V$ such that each 1-dimensional subspace of $V$ is in exactly one subspace of $\Pi$. The size of $\Pi$ is the number of its subspaces.
Heden, Olof +3 more
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Partitions in More than One Dimension
Summary Several important properties are derived for the new partitional functions introduced by Fisher (1950) in his enumeration of the number of partitions of an integer in an arbitrary number of dimensions. These functions readily lead to the enumeration of the number of partitions of an integer in more than one dimension and with ...
openaire +2 more sources
Rotating Higher Spin Partition Functions and Extended BMS Symmetries [PDF]
We evaluate one-loop partition functions of higher-spin fields in thermal flat space with angular potentials; this computation is performed in arbitrary space-time dimension, and the result is a simple combination of Poincar\'e characters.
A Ashtekar +74 more
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Coarse dimensions and partitions of unity [PDF]
Gromov \cite{Gr$_1$} and Dranishnikov \cite{Dr$_1$} introduced asymptotic and coarse dimensions of proper metric spaces via quite different ways. We define coarse and asymptotic dimension of all metric spaces in a unified manner and we investigate relationships between them generalizing results of Dranishnikov \cite{Dr$_1$} and Dranishnikov-Keesling ...
Brodskiy, N., Dydak, J.
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Krausz dimension and its generalizations in special graph classes [PDF]
A {\it krausz $(k,m)$-partition} of a graph $G$ is the partition of $G$ into cliques, such that any vertex belongs to at most $k$ cliques and any two cliques have at most $m$ vertices in common. The {\it $m$-krausz} dimension $kdim_m(G)$ of the graph $G$
Glebova, Olga +2 more
core +1 more source
Casimir Forces and Boundary Conditions in One Dimension: Attraction, Repulsion, Planck Spectrum, and Entropy [PDF]
Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the wave boundary ...
Boyer, Timothy H.
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The locating-chromatic number and partition dimension of fibonacene graphs
Fibonacenes are unbranched catacondensed benzenoid hydrocarbons in which all the non-terminal hexagons are angularly annelated. A hexagon is said to be angularly annelated if the hexagon is adjacent to exactly two other hexagons and possesses two ...
Ratih Suryaningsih, Edy Tri Baskoro
doaj +1 more source
Dynamics of a higher dimensional analog of the trigonometric functions [PDF]
We introduce a higher dimensional quasiregular map analogous to the trigonometric functions and we use the dynamics of this map to define, for d>1, a partition of d-dimensional Euclidean space into curves tending to infinity such that two curves may ...
Annales Academiæ +3 more
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A note on the partition dimension of Cartesian product graphs
Let $G=(V,E)$ be a connected graph. The distance between two vertices $u,v\in V$, denoted by $d(u, v)$, is the length of a shortest $u-v$ path in $G$. The distance between a vertex $v\in V$ and a subset $P\subset V$ is defined as $min\{d(v, x): x \in P\}$
Rodriquez-Velazquez, Juan A. +1 more
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Partition functions of higher derivative conformal fields on conformally related spaces
The character integral representation of one loop partition functions is useful to establish the relation between partition functions of conformal fields on Weyl equivalent spaces.
Jyotirmoy Mukherjee
doaj +1 more source

