الصفحة 9
الصفحة 9
A First Course in Modular Forms
This book introduces the theory of modular forms with an eye toward the Modularity Theorem: All rational elliptic curves arise from modular forms. The topics covered include: • elliptic curves as complex tori and as algebraic curves, • modular curves as Riemann surfaces and as algebraic curves, • Hecke operators and Atkin–Lehner theory, • Hecke eigenforms and their arithmetic properties, • the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms, • elliptic and modular curves modulo p and the Eichler–Shimura Relation, • the Galois representations associated to elliptic curves and to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory.
3D Segmentation for medical images (OsteoVision) = التقطيع ثلاثي الأبعاد للصور الطبية
With the increasing integration of AI across various sectors, artificial intelligence (AI) is already playing a significant role in the healthcare industry, and its use is expected to grow further. AI systems used in image processing and computer vision algorithms have shown a significant ability to perform many operations such as segmentation, classification, and detection. This project presents the application of computer vision algorithms in the field of medical imaging for diagnostic, therapeutic, and interventional purposes. This thesis explores the use of several computer vision algorithms to address different pathologies, specifically brain tumors (glioma) (see Appendix A) and knee osteoarthritis (OA), as well as tracking the progression of knee osteoarthritis using the Kellgren and Lawrence (KL) grading system, a common method for classifying the severity of OA into five grades. To achieve the desired impact, the project employs various techniques, including 3D segmentation for brain tumors, 2D segmentation for knee joints, and multinomial classification for determining the severity of knee OA injuries. The primary aims of the project are to enhance diagnostic accuracy, assist in creating treatment plans, provide an assistive tool for healthcare providers to make more informed decisions, leverage AI's capabilities to detect abnormalities that might escape the human eye, and streamline workflow. To facilitate these goals, the project incorporates a user-friendly UI, a website, and a Flutter-based mobile application, enabling healthcare providers to efficiently integrate these tools into their practice and improve patient care.
150 Best Minimalist House Ideas
Presents tips, tricks, and techniques revealing how to create your own gorgeous, sophisticated interiors. One of the most popular contemporary interior design trends, minimalism highlights the essence of a room, stressing clean lines, clutter-free spaces, and a limited color palette. In 150 Best Minimalist Interior Ideas, photographs and floor plans of minimalist homes around the world are featured. The images are of stunning bedrooms, living rooms, dining rooms, kitchens, and bathrooms; and insightful text complements them to reveal why the minimalist rooms are so eye-catching, cathartic, and desirable. The text includes a wealth of both big picture and more focused ideas. It covers subjects such as walls (if and when to use them), doors, and partitions, flooring, lighting, furniture, and staircases, and explores color, patterns, materials, and texture. The homes featured in this extraordinary volume were developed by distinguished international designers at the forefront of the minimalist movement.
