In this work, we consider the function pod(n), the number of partitions of an integer n wherein the odd parts are distinct (and the even parts are unrestricted), a function which has arisen in recent work of Alladi. Our goal is to consider this function from an arithmetic point of view in the spirit of Ramanujan’s congruences for the unrestricted partition function p(n). We prove a number of re...

Chickpea (Cicer arietinum L.) is a native crop of Asia which is grown worldwide including Iran.In this study,different selection criteria including correlation,regression and path analysis were used to improve yield.The experimental design was split plot with RCBD replicated four times in which three sowing dates (5 January,4 February,and 5 March) were used in main plots and four genotypes;two ...

Polyphenol oxidase(PPO) (E.C. number 1.10.3.1) has ubiquitous distribution in almost all living organism. Whereas, peroxidase(POD) (E.C. number 1.11.1) act as hormone regulation and defense mechanism in plants. Keeping in pace with their present-day industrial application, efforts have been made to evaluate the activity of these two enzymes (PPO and POD) using pepper pericarp (Capsicum annuum L...

Effect of genotype x environment interaction was studied on relationship between yield and three yield components in 20 genotypes of chickpea. Significant differences were found between genotypes for the three yield components at all the locations. It was found that the pattern and strength of correlation between number of seeds pod and yield, between number of seeds pod and number of pods plan...

Proper orthogonal decomposition (POD) is a powerful technique for model reduction of linear and non-linear systems. It is based on a Galerkin type discretization with basis elements created from the system itself. In this work, error estimates for Galerkin POD methods for linear elliptic, parameter-dependent systems are proved. The resulting error bounds depend on the number of POD basis functi...

The asymmetric division of the one-cell Caenorhabditis elegans zygote gives rise to two cells of different size and fate, thereby establishing the animal's anterior--posterior (a-p) axis. Through genetics, a number of genes required for this polarity have been characterized, but many components remain unidentified. Recently, our laboratory discovered a mutation in the pod-1 gene (for polarity a...

The proper orthogonal decomposition (POD) is shown to be an efficient model reduction technique for simulating physical processes governed by partial differential equations. In this paper, we make an initial effort to investigate problems related to POD reduced modeling of a large-scale upper ocean circulation in the tropic Pacific domain. We construct different POD models with different choice...

adjustment of plant density is an important base on light, water and soil nutrients for increasing seed yield. to determine of plant density in new red bean lines (phaseolus vulgaris l.), this experiment was conducted as factorial in randomized complete block design (rcbd) with three replications at lordegan region (chaharmahal and bakhtiari province) in 2004-2005. factors were new red bean lin...

The proper orthogonal decomposition (POD) is shown an efficiently model reduction technique in simulating physical processes governed by partial differential equations. In this paper we make an initial effort to investigate problems related to POD reduced modeling of a large-scale upper ocean circulation in the tropic Pacific domain. We constructed different POD models with different choices of...