In this work, we examine effects of permanent charges on ionic flows through ion channels via a quasi-one-dimensional classical Poisson-Nernst-Planck (PNP) model. The geometry of the three-dimensional channel is presented in this model to a certain extent, which is crucial for the study in this paper. Two ion species, one positively charged and one negatively charged, are considered with a simp...

We prove that W 1 p is a real interpolation space between W 1 p1 and W 1 p2 for p > q0 and 1 ≤ p1 < p < p2 ≤ ∞ on some classes of manifolds and general metric spaces, where q0 depends on our hypotheses.

We give an elementary proof that for a ring homomorphism A → B satisfying the property that every ideal in A is contracted from B the following property holds: for every chain of prime ideals p0 ⊂ . . . ⊂ pr in A there exists a chain of prime ideals q0 ⊂ . . . ⊂ qr in B such that qi ∩ A = pi. Mathematical Subject Classification (1991): 13B24. Let A and B be commutative rings and let φ : A → B b...

We show that as long as the restricted isometry constant δ2k < 1/2, there exist a value q0 ∈ (0, 1] such that for any q < q0, each minimizer of the nonconvex `q minimization for the sparse solution of any underdetermined linear system is the sparse solution.

We study the complexity of inverting many-one, honest, polynomial-time computable onto functions. Asserting that every polynomial-time computable, honest, onto function is invertible is equivalent to the following proposition that we call Q: For all NP machines M that accept , there exists a polynomial-time computable function gM such that for all x, gM(x) outputs an accepting computation of M ...

In this paper a production inventory model for the newly launched product is developed incorporating the effect of inflation and time value of money. The objective of this study is to find the economic production quantities. It is assumed that demand of the items is displayed stock dependent. Production is stopped when the stock-level reached to level Q and Q0 is the fixed stock-level. In this ...

Chen and Ruan [6] defined a very interesting cohomology theoryChen-Ruan orbifold cohomology. The primary objective of this paper is to compute the Chen-Ruan orbifold cohomology of weighted projective space, one of the most important space used in physics. The classical tools (orbifold cohomology defined by Chen and Ruan,toric varieties, the localization formula) which have been proved to be suc...

We construct a continuous nowhere monotone and nondifferentiable function depending on single parameter q0 ? (0; 1). For functions from this continual class, we describe their structural, variational, fractal, integrodifferential properties.

We hereby study the interpolation property of Sobolev spaces of order 1 denoted by W 1 p,V , arising from Schrödinger operators with positive potential. We show that for 1 ≤ p1 < p < p2 < q0 with p > s0, W 1 p,V is a real interpolation space between W 1 p1,V and W 1 p2,V on some classes of manifolds and Lie groups. The constants s0, q0 depend on our hypotheses.

The items in a spatial database have location, extent, and shape with respect to a spatial coordinate system. Simple approximations to these attributes, say by bounding rectangles, are storage efficient and easy to manipulate. But effective spatial retrieval (on either location, extent, or shape) require a more precise representation of these attributes. In this report, we describe a highly com...