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We propose two families of nonconforming finite elements on $n$-rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent property and the approximation ability of ...
Let $f$ be a holomorphic Hecke cusp form or Hecke-Maass cusp form for $SL(2,\mathbb{Z}),$ and let $\lambda_{f}(n)$ be the $n$th Hecke eigenvalue. Rankin and Selberg showed that$$\sum_{1 \leq m \leq X}...
We study Mumford-Tate groups of families of Calabi-Yau manifolds in this notes, for example, we have interest in the relations between the geometry of families of Calabi-Yau manifolds and their Mumfor...
A grisly method by which bacteria dispatch their distant relatives also creates conditions in which the attackers can thrive.Families of bacteria cells are known to kill adjacent, unrelated cells by i...
We investigate the morphology of size–frequency distributions (SFDs) resulting from impacts into 100-km-diameter parent asteroids, represented by a suite of 161 SPH/N-body simulations conducted to stu...
Numerical simulations of the collisional disruption of large asteroids show that although the parent body is totally shattered, subsequent gravitational reaccumulation leads to the formation of an ent...
This paper builds on preliminary work in which numerical simulations of the collisional disruption of large asteroids (represented by the Eunomia and Koronis family parent bodies) were performed and w...
In order to investigate the evolution of conotoxin multigene families among two closely related vermivorous Conus species, we sequenced 104 four-loop conotoxin mRNAs from two individuals of Conus ebr...
For smooth families of projective algebraic curves, we extend the notion of intersection pairing of metrized line bundles to a pairing on line bundles with flat relative connections. In this setting, ...
We show that any family of sets uniformly definable in an ominimal structure has an extended compression scheme of size equal to the number of parameters in the defining formula.
We consider families of smooth one-dimensional maps with several critical points and outline the main ideas of the construction in the parameter space that allows to get infinite Markov Partitions and...
Let X be a random vector distributed according to an exponential family with natural parameter 0 E O.We characterize conjugate prior measures on O through the property of linear posterior expectat...
This paper characterizes mixtures of symmetric location families. More specifically, let X = (XI, Xz, .. . ) be an exchangeable sequence of real-valued random variables. By de Finetti's theorem, X...
We give families of examples where sharp rates of convergence to stationarity of the widely used Gibbs sampler are available. The examples involve standard exponential families and their conjugate pri...
Protein regions which lack a fixed structure are called ‘disordered’. These intrinsically disordered regions are not only very common in many proteins, they are also crucial to the function of many pr...

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