the main purpose of this study was analyzingthe promoting factors of the developmentin participatory irrigation managementin the irrigation network of miandarband villages located in kermanshah county. the research population consisted of all beneficiaries of this area (n=417). by using the cochran's formula, 126 people were chosen through a random stratified sampling method with appropria...

We find a formula for the number of permutations of [n] that have exactly s runs up and down. The formula is at once terminating, asymptotic, and exact. The asymptotic series is valid for n→∞, uniformly for s (1 − )n/ logn ( > 0). © 2007 Elsevier Inc. All rights reserved.

Bone remodelling is carried out by 'bone multicellular units' ([Formula: see text]s) in which active osteoclasts and active osteoblasts are spatially and temporally coupled. The refilling of new bone by osteoblasts towards the back of the [Formula: see text] occurs at a rate that depends both on the number of osteoblasts and on their secretory activity. In cortical bone, a linear phenomenologic...

For a set S of cells in a cylindrical algebraic decomposition of R, we introduce the notion of generalized cylindrical algebraic formula (GCAF) associated with S. We propose a multi-level heuristic algorithm for simplifying the cylindrical algebraic formula associated with S into a GCAF. The heuristic strategies are motivated by solving examples coming from the application of automatic loop tra...

A continuum mixture model with distinct collagen (COL) and glycosaminoglycan elastic constituents was developed for the solid matrix of immature bovine articular cartilage. A continuous COL fiber volume fraction distribution function and a true COL fiber elastic modulus ([Formula: see text] were used. Quantitative polarized light microscopy (qPLM) methods were developed to account for the relat...

We introduce and study a new basis in the algebra of symmetric functions. The elements of this basis are called the Frobenius–Schur functions (FSfunctions, for short). Our main motivation for studying the FS-functions is the fact that they enter a formula expressing the combinatorial dimension of a skew Young diagram in terms of the Frobenius coordinates. This formula plays a key role in the as...

Let r( w) denote the number of reduced decompositions of the element w of a Coxeter group W Using the theory of symmetric functions, a formula is found for r( w) when W is the symmetric group S". For the element Wo E S" of longest length and certain other WE S", the formula for r( w) is particularly simple. For the hyperoctahedral group Bn some conjectures are made in analogy to the Sn case. Th...

We describe the subgroups of the group Zm × Zn × Zr and derive a simple formula for the total number s(m,n, r) of the subgroups, where m,n, r are arbitrary positive integers. An asymptotic formula for the function n 7→ s(n, n, n) is also deduced.

The decay time constants shown in Table 3 have been fitted using exponential functions. The monoexponential fit of the S 0 and T 1 populations has been done using the following formula: P mono,S 0 /T 1 = 1 − e −t τ 1 (1) The biexponential fit has been performed using the following formula: