A complete metric space is a well-known concept. Kreyszig shows that every non-complete metric space  can be developed into a complete metric space , referred to as completion of .

We use the b-Cauchy sequence to form  which “is the set of all b-Cauchy sequences equivalence classes”. After that, we prove  to be a 2-normed space. Then, we construct an isometric by defining the function from  to ; thus  and  are isometric, where  is the subset of  composed of the equivalence classes that contains constant b-Cauchy sequences. Finally, we prove that  is dense in ,  is complete and the uniqueness of  is up to isometrics

          The primary objective of this paper is to improve a biometric authentication and classification model using the ear as a distinct part of the face since it is unchanged with time and unaffected by facial expressions. The proposed model is a new scenario for enhancing ear recognition accuracy via modifying the AdaBoost algorithm to optimize adaptive learning. To overcome the limitation of image illumination, occlusion, and problems of image registration, the Scale-invariant feature transform technique was used to extract features. Various consecutive phases were used to improve classification accuracy. These phases are image acquisition, preprocessing, filtering, smoothing, and feature extraction. To assess the proposed

Identifying people by their ear has recently received import attention in the literature. The accurate segmentation of the ear region is vital in order to make successful person identification decisions. This paper presents an effective approach for ear region segmentation from color ear images. Firstly, the RGB color model was converted to the HSV color model. Secondly, thresholding was utilized to segment the ear region. Finally, the morphological operations were applied to remove small islands and fill the gaps. The proposed method was tested on a database which consisted of 105 ear images taken from the right sides of 105 subjects. The experimental results of the proposed approach on a variety of ear images revealed that this approac

The inner wasteland can be observed in Samuel Beckett’s early and later plays. His characters suffer from loss of identity, emotions, and sense of time. They lead a life of failure, repetition, inaction, loneliness, doubt, suffering, and nothingness. The inner wasteland includes many aspects, such as the multi and split identity, the habitual repetitive element of life, the dark sorrowful life the characters lead, lack of communication and relations among them, their unfree, inactive condition, their foggy terrible recollections, loneliness, dryness of love, and uncertainty. The analysis and the illustration of each aspect will show how the inner wasteland is intensified in the selected later plays of Beckett.

In this research for each positive integer integer and is accompanied by connecting that number with the number of Bashz Attabq result any two functions midwives to derive a positive integer so that there is a point

  The study includes histological structure of  digestive tract of  Liza abu , Anatomical results found that the digestive tract occupied the largest part of  abdominal cavity ,  the mean gut length was (45.5) cm and relative gut length was (2.9) .  esophagus was a muscular tube length (1.5) cm , esophagus wall containing longitudinal  straight unbranched folds numbering (9) . Histological study  results found that the esophagus composed of four tunica : mucosa , submucosa , muscularis and serosa . The results found that the mucosa consists of three layers : epithelium , lamina propria and muscularis mucosa . The epithelial layer was stratified squamous epithelium thickness (139.1) µ containing

  The study current included histological structure of stomach of Liza abu , anatomical results found that stomach represent the expander non-convoluted part of gastrointestinal tract it is located between the end of the esophagus and the beginning of the intestine , the average length of stomach was (1.5) cm , composed of two parts : cardiac stomach which is represent the anterior part and be thin- walled , the other part was pyloric stomach or gizzard and the walls were thick . The internal surface of cardiac and pyloric stomach contain longitudinal folds numbering (7), folds branching to finger shape structures extend inside the lumen . Histological study showed that stomach wall composed of three main histological layers : mucos

Biometrics represent the most practical method for swiftly and reliably verifying and identifying individuals based on their unique biological traits. This study addresses the increasing demand for dependable biometric identification systems by introducing an efficient approach to automatically recognize ear patterns using Convolutional Neural Networks (CNNs). Despite the widespread adoption of facial recognition technologies, the distinct features and consistency inherent in ear patterns provide a compelling alternative for biometric applications. Employing CNNs in our research automates the identification process, enhancing accuracy and adaptability across various ear shapes and orientations. The ear, being visible and easily captured in

Background: Staphylococcus aureus is a Gram-positive, spherical, grape like clusters arrangment
bacterium, non-spore forming. Is a genus that causes many hard diseases such as food poisoning,
gastroenteritis with severe symptoms. S. aureus is commonly found in the wide environment (soil, air and
water) and is importantly found in the nose and skin in the humans. And can causes ear infection by
entering the ear. The diagnosis of Otitis externa is usually made clinically and bacterial tests.
Objective: To detection and isolation of the bacteria Staphylococcus aureus from pus specimens of ear
swab, among Iraqi children with Otitis externa.
Patients and methods: Eighty ear swab specimens from suspected cases of Otitis ex

The morphological description and histological structure of the

olfactory     organ     of    Parasilurus     triostegus     (Heckel)     have    been

investigated. The olfactory organ situated on the dorsal surface of the

head infront of the eye.

It  is  represented   by  elongated  olfactory  sac,  in  which  the

olfactory Lamellae arranged as Rosette- like pattern .

The olfactory sac connected with the olfactory bulb by short olfactory nerve. The olfactory bulb which situated near the olfactory sac connected wi