A bstract Thermal partition functions for gravitational systems have traditionally been studied using Euclidean path integrals. But in signature the action suffers from conformal factor problem, which renders unbounded below. This makes it difficult to take formulation as fundamental. However, despite their familiar association with periodic imaginary time, thermal can also be described by real...

first we show that the cosets of a fuzzy ideal μ in a bck-algebrax form another bck-algebra  x/μ (called the fuzzy quotient bck-algebra of x by μ). also we show thatx/μ is a fuzzy partition of x and we prove several some isomorphism theorems. moreover we prove that if the associated fuzzy similarity relation of a fuzzy partition p of a commutative bck-algebra iscompatible, then p is a fuzzy quo...

Let G = (V,E) be an undirected graph, λk the kth smallest eigenvalue of the normalized Laplacian matrix LG of G, and ρ(k) (ρ̂(k)) the smallest value of the maximal conductance over all k disjoint subsets Z1, . . . , Zk (that form a partition) of V . Oveis Gharan and Trevisan [3] proved the existence of a k-way partition (P1, . . . , Pk) of V with ρ̂(k) 6 kρ(k). The k-way (approximate) partitionin...

MOTIVATION Algorithm development for finding typical patterns in sequences, especially multiple pseudo-repeats (pseudo-periodic regions), is at the core of many problems arising in biological sequence and structure analysis. In fact, one of the most significant features of biological sequences is their high quasi-repetitiveness. Variation in the quasi-repetitiveness of genomic and proteomic tex...

The partition problem concerns the partitioning of n given vectors in d-space into p parts, so as to maximize an objective function which is convex on the sum of vectors in each part. The problem has applications in diverse 4elds that include clustering, inventory, scheduling and statistical hypothesis testing. Since the objective function is convex, the partition problem can be reduced to the ...

influence of soil organic matter (som) on the adsorption, desorption and transport of polycyclic aromatic hydrocarbons (pahs) has already been given full investigation in soils. in this paper, confocal laser scanning microscope (clsm) was used to elucidate aqueous leaching of pahs in different types of soil with soil columns, which enhanced understanding on transport of pahs appreciably. four t...

A bstract We investigate the connection between spacetime wormholes and ensemble averaging in context of higher spin AdS 3 /CFT 2 . Using techniques from modular bootstrap combined with some holographic inputs, we evaluate partition function a Euclidean wormhole gravity. The fixed sectors dual CFT exhibit features that starkly go beyond conventional random matrix ensembles: power-law ramps spec...

—Recently, a general tool called a holographic transformation , which transforms an expression of the partition function to another form, has been used for polynomial-time algorithms and for improvement and understanding of the belief propagation. In this work, the holographic transformation is generalized to quantum factor graphs.

We represent the Ising model of statistical physics by Forney factor graphs in the primal and in the dual domains. By analogy with Kirchhoff’s voltage and current laws, we show that in the primal Forney factor graph, the dependency among the variables is along the cycles, whereas in the dual Forney factor graph, the dependency is on the cutsets. In the primal (resp. dual) domain, dependent vari...