We introduce a class of deterministic higher-order patterns to Template Haskell for supporting declarative transformational programming with more elegant binding of pattern variables. Higher-order patterns are capable of checking and binding subtrees far from the root, which is useful for program manipulation. However, there are three major problems. First, it is difficult to explain why a part...

We have seen that the R function runif uses a random number generator to simulate a sample from the standard uniform distribution UNIF(0, 1). All of our simulations use standard uniform random variables or are based on transforming such random variables to obtain other distributions of interest. Included in the R language are some functions that implement suitable transformations. For example, ...

The aim of this paper is to investigate the q → 1 q duality in an information-entropy theory of all q-generalized entropy functionals (Tsallis, Renyi and Sharma-Mittal measures) in the light of a representation based on generalized exponential and logarithm functions subjected to Kolmogorov’s and Nagumo’s averaging. We show that it is precisely in this representation that the form invariance of...

We study the Lah and related Laguerre transforms within the context of exponential Riordan arrays. Links to the Stirling numbers are explored. Results for finite matrices are generalized, leading to a number of useful matrix factorizations. In this note, we shall consider integer sequences a : N 0 → Z with general term a n = a(n). Normally, sequences will be described by either by their ordinar...

There are three broad classes of models used to address the econometric problems caused by skewness in data commonly encountered in health care applications: (1) transformation to deal with skewness (e.g., OLS on ln(y)); (2) alternative weighting approaches based on exponential conditional models (ECM) and generalized linear model (GLM) approaches; and (3) survival models (Cox proportional haza...

Fault-tolerance is a critical issue for biochemical computation. Recent theoretical work on algorithmic self-assembly has shown that error correcting tile sets are possible, and that they can achieve exponential decrease in error rates with a small increase in the number of tile types and the scale of the construction [24, 4]. Following [17], we consider the issue of applying similar schemes to...

We study stability of N-soliton solutions of the FPU lattice equation. Solitary wave solutions of FPU cannot be characterized as a critical point of conservation laws due to the lack of infinitesimal invariance in the spatial variable. In place of standard variational arguments for Hamiltonian systems, we use an exponential stability property of the linearized FPU equation in a weighted space w...

Abstract In this paper, we presented a domain decomposition method via exponential splines for solving singularly perturbed two-point boundary value problems with the boundary layer at one end (left or right) point. The method is distinguished by the following fact: The original singularly perturbed two-point boundary value problem is divided into two problems, namely inner and outer region pro...

In this report, we focus on the consequences of controllability and observability on the number of distinct exponential terms in the fluorescence decay and on the identifiability analysis of the photophysical model of intermolecular two-state excited-state processes. Controllability and observability prove to be useful concepts in photophysics for exploring methodically the conditions under whi...

To help understand the order of events that occurs when generating saccades, we simulated and tested two commonly stated decoding models that are believed to occur in the oculomotor system: vector averaging (VA) and center-of-mass. To generate accurate saccades, each model incorporates two required criteria: 1) a decoding mechanism that deciphers a population response of the superior colliculus...