Successful mating of MATa Saccharomyces cerevisiae cells is dependent on Ste2p, the alpha-factor receptor. Besides receiving the pheromone signal and transducing it through the G-protein coupled MAP kinase pathway, Ste2p is active in the establishment and orientation of the mating projection. We investigated the role of the carboxyl terminus of the receptor in mating projection formation and or...

Using the symbolic calculation program Mathematica and based on power series expansions of common latitude with geodetic as a variable, geocentric variable are derived. The coefficients two groups formulas ellipsoid eccentricity e third flattening n, which make more uniform. Taking CGCS2000 an example, numerical analysis is applied to verify accuracy reliability derived expansions. By analyzing...

The theoretical ~quantum! description of large amplitude vibrations of systems containing four or more atoms using orthogonal internal coordinates requires three or more angular coordinates. The basis commonly used to represent these coordinates is the coupled angular momentum basis. We show that a direct product angular discrete variable representation ~DVR! can be used advantageously, particu...

Let Um be an m×m Haar unitary matrix and U[m,n] be its n×n truncation. In this paper the large deviation is proven for the empirical eigenvalue density of U[m,n] as m/n → λ and n → ∞. The rate function and the limit distribution are given explicitely. U[m,n] is the random matrix model of quq, where u is a Haar unitary in a finite von Neumann algebra, q is a certain projection and they are free....

Validated continuation was introduced in [4] as means of checking that the classical continuation method applied to a Galerkin projection of a PDE provides a locally unique equilibrium to the PDE of interest. In this paper we extend the numerical technique to include a parameter that leads to better bounds on the errors associated with the Galerkin truncation. We test this method on the Swift-H...

Stability analysis of spatially discretized approximations to invariant circle solutions to a noninvertible map is shown to produce seemingly spurious eigenvalues, found to exist for all truncation numbers. Numerical analysis of the spectral Galerkin projection procedure used to compute the solutions and the eigenvalues of the linearization shows that the set of discrete eigenvalues converges i...

Motivated by an important problem of load balancing in parallel computing, this paper examines a modified algorithm to enhance Q-learning methods, especially in asynchronous recursive procedures for self-adaptive load distribution at runtime. Unlike the existing projection method that utilizes a fixed region, our algorithm employs a sequence of growing truncation bounds to ensure the boundednes...

Large-eddy simulation (LES) mainly consists of a “projection”: an effective “truncation” to much fewer modes than what is required to perform a direct numerical simulation (DNS). This can be done in different ways: using a reduced set of discrete field values (formally equivalent to sampling, on the coarse grid, of the continuous DNS field), or using a reduced set of continuous functions, etc. ...