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We prove that the upper domination number of a graph does not increase when a vertex is removed from the graph. Moreover, we consider well-dominated graphs and their upper domination number. We also define approximately well-dominated graphs.

Normally, humans have only one urinary bladder but it’s not so in the case of bladder duplication because more than one bladder is present in this case and it occurs as a result of an abnormal development of the body specifically the abnormal development of the urinary system during the fourth week of embryological development. Bladder duplication was classified by Abrahamson into two forms based on the degree of duplication; complete and incomplete bladder duplication. And also, it can be classified into sagittal or coronal duplication based on the position of the accessory bladder in relation to the normal bladder.

In this paper, we propose conventional and alternative ratio-product type estimators for population mean using two auxiliary variables in the presence of non-response. The purposed estimators have been found to be more efficient than the relevant estimators for the fixed values of first-phase sample of size n' and sub-sample of size n(<n') taken from the first-phase sample size n' under the specified condition. The purposed estimators are more efficient than the corresponding estimators for population mean (Y ?) of a study variable y in the case of fixed cost and have less cost in comparison to the cost incurred by the corresponding relevant estimators for a specified variance. The conditions under which the purposed estimators are more efficient then the relevant estimator have been obtained. An empirical as well as a Monte-Carlo simulation study have been done to demonstrate the efficiencies for the purposed estimators over other relevant estimators.

A Coumarin derivative, 4-ethoxy-6-((hydroxymethoxy)methyl)-2H-chromen-2-one, was isolated from the stem bark of Jatropha multifida, and its structure was elucidated from UV, IR, MS and 2D NMR spectra. The compound has 1-oxygenated structure with a lactone moiety.

Given an arbitrary finite group , denote by the set of its element orders. The group is said to be recognizable by the set if the equality implies an isomorphism of and for each finite group . For a prime , the alternating groups are recognizable. But for are has not known. In this paper, we will give an example for not a prime, namely, that is characterizable.

In this paper, we study some of the properties of Q-fuzzy normal subgroups, cosets and prove some results on these.

Although alternate system of medicine is still the choice of masses in developing countries. Unani system of medicine being one of them. UNANI was derived from the word IONIAN which indicates it origin to Greece TIBB means medicine. Unani system of medicine is a synthesis of Greek and Arabs system .Unani physicians were the first to classify the disease on the basis of different anatomical and physiological symptoms of the body. Hippocrates explained that the disease was a normal process and its symptoms were the reaction of the body to the disease. Inspite of time tested mode of treatment, Unani system of medicine is yet to gain the due popularity in masses. With this preview a cross sectional study was conducted on 100 participants by using a close ended questionnaire tested amd pretested before use to assess knowledge, attitude and practices of Unani in new comers of A& U Tibbia college & Hospital, Karol bagh ,New Delhi in 2011 and it was found that although they had fair knowledge of Unani but still their preferred medicine was allopathy.It can be concluded that Unani system of medicine can be propagated and promoted by educating masses about Unani and increasing dispensaries and hospitals of Unani.

We report the case of a 35 year old man who was assaulted by knife landing on the posterior aspect of the left shoulder causing a transfixing wound and imprisonment of a large metallic blade under the scapular region has gone unnoticed and migrated in the shoulder while sparing the axillary vessels and the left brachial plexus. careful dissection after exploration of the axillary nerve vessel bundle allowed the extraction of the knife, which measured 10 cm in length

Stock control is an act of stocking goods to satisfy expected future demand. This gives rise to the problem of “how much and when to place order for new goods when stock is going down. Decision regarding the quantity ordered and the time at which it is ordered is based on minimizing an appropriate cost function to balance the total cost function resulting from overstocking or under stocking. Quantity discount stimulates the interest of the distributor to stock more goods and hence the need for additional warehouse which may increase his holding cost. This work has considered inventory using two warehouses-owners and rented warehouses. A model similar to that of Tien Yu Lin (2011) is developed. It has been shown that optimal order quality that minimizes the expected total cost is obtained. The consequence of the limit of the holding cost of the rented warehouse on the optimal order size is also given.

This article provides a short introduction to Project based Learning (PjBL) that are significant in the mechanical engineering students project MR02/07 development for agricultural product and typical of socio-constructivist of student approaches. The objectives of using PjBL module is producing innovative product by implementation PjBL concept. These project methods will describe deeply the process of development chopper machine with specified code MR02/07. By using PjBL module the process will drive directly from first to the end. Guided with BIE approach and reference models, PjBL module create new 21 century learning era with guided in project development to meet engineering standard and completed on time. It’s works smoothly with guided forms at PjBL module instrument. Engineering students will fulfill the mastery learning in engineering project development methods when use PjBL module for their product development. Please, see project-based learning (PjBL) module that develop for engineering project development at Mechanical Department, Politeknik Kota Bharu, Malaysia.