Stability of Back Propagation Training Algorithm for Neural Networks

In this paper, we derive and prove the stability bounds of the momentum coefficient µ and the learning rate ? of the back propagation updating rule in Artificial Neural Networks .The theoretical upper bound of learning rate ? is derived and its practical approximation is obtaine

New Approach for Solving Partial Differential Equations Based on Collocation Method

In this paper, a new approach for solving partial differential equations was introduced. The collocation method based on LA-transform and proposed the solution as a power series that conforming Taylor series. The method attacks the problem in a direct way and in a straightforward fashion without using linearization, or any other restrictive assumption that may change the behavior of the equation under discussion. Five illustrated examples are introduced to clarifying the accuracy, ease implementation and efficiency of suggested method. The LA-transform was used to eliminate the linear differential operator in the differential equation

Fuzzy Subspaces For Fuzzy space of Orderings

The purpose of this paper is to define fuzzy subspaces for fuzzy space of orderings and we prove some results about this definition in which it leads to a lot of new results on fuzzy space of orderings. Also we define the sum and product over such spaces such that: If f = and g = , their sum and product are f + g = and f × g =. for all a1,…,an,b1,…,bm ?

Solution of Nonlinear High Order Multi-Point Boundary Value Problems By Semi-Analytic Technique

In this paper, we present new algorithm for the solution of the nonlinear high order multi-point boundary value problem with suitable multi boundary conditions. The algorithm is based on the semi-analytic technique and the solutions are calculated in the form of a rapid convergent series. It is observed that the method gives more realistic series solution that converges very rapidly in physical problems. Illustrative examples are provided to demonstrate the efficiency and simplicity of the proposed method in solving this type of multi- point boundary value problems

Efficient Approach for Solving (2+1) D- Differential Equations

في هذا البحث تم عرض اسلوب جديد كفوء لحل صنف من المعادلات التفاضلية الجزئية مثل المعادلات التفاضلية ذات البعد (2+1) خطية و غير خطية متجانسة و غير متجانسة. إجراءات الاسلوب الجديد تم اقتراحه لحل صنف مهم من المعادلات التفاضلية بأسلوب مبسط و سهل التنفيذ للحصول على حل تحليلي دقيق تحديدا الحل المضبوط . فاعلية الاسلوب المقترح مبني على اساس خواصه مقارنة بالطرق الاخرى المستخدمة لحل هذا الصنف من المعادلات التفاضلية مثل طريقة ادومين , الاضطراب الهوموتوبي, التحليل الهوموتوبي , التغاير التكرارية . ميزات الطريقة المقدمة موضحة من خلال الامثلة .     In this article, a new efficient approach is presented to solve a type of partial differential equations, such (2+1)-dimensional differential equations non-linear, and nonhomogeneous. The procedure of the new approach is suggested to solve important types of differential equations and get accurate analytic solutions i.e., exact solutions. The effectiveness of the suggested approach based on its properties compared with other approaches has been used to solve this type of differential equations such as the Adomain decomposition method, homotopy perturbation method, homotopy analysis method, and variation iteration method. The advantage of the present method has been illustrated by some examples

Emerging viral respiratory tract infections—environmental risk factors and transmission

This article is made available for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.The past decade has seen the emergence of several novel viruses that cause respiratory tract infections in human beings, including Middle East respiratory syndrome coronavirus (MERS-CoV) in Saudi Arabia, an H7N9 influenza A virus in eastern China, a swine-like influenza H3N2 variant virus in the USA, and a human adenovirus 14p1 also in the USA. MERS-CoV and H7N9 viruses are still a major worldwide public health concern. The pathogenesis and mode of transmission of MERS-CoV and H7N9 influenza A virus are poorly understood, making it more difficult to implement intervention and preventive measures. A united and coordinated global response is needed to tackle emerging viruses that can cause fatal respiratory tract infections and to fill major gaps in the understanding of the epidemiology and transmission dynamics of these viruses

Design Feed Forward Neural Network To Solve Boundary Value Problems

The aim of this paper is to design fast feed forward neural network to present a method to solve second order boundary value problem for ordinary differential equations. That is to develop an algorithm which can speedup the solution times, reduce solver failures, and increase possibility of obtaining the globally optimal solution and we use several different training algorithms many of them having a very fast convergence rate for reasonable size networks.Finally, we illustrate the method by solving model problem and present comparison with solutions obtained using other different method

Imaging with Hexagonal Segmented Mirror

Different hexagons configuration aperture models of the optical telescope mirror is carefully considered in this study. The point spread function and the modulation transfer function of a reference star using different hexagons configuration are computed and the quantitative assessment for the results are described. It has been shown that the height of the point spread function decreases rapidly when the area of the circular aperture of the optical telescope is 18 times the area of the individual hexagon to be arrange to fill this aperture. No significant change has been noticed as the area of the this aperture exceeds 121 times the area of the individual hexagon

Lung Fibrosis after Chemotherapy Containing Docetaxel in a Patient Treated for Breast Cancer

Docetaxel has proven effective in many solid tumors, including breast cancer. Hypersensitivity reactions are the most common toxicity associated with docetaxel. However, acute interstitial pneumonia is rarely reported in the literature. We report the case of a woman born in 1969, treated for invasive ductal carcinoma of the left breast and who presented 6 years later with an invasive ductal carcinoma locally advanced in the right breast. Neo-adjuvant chemotherapy based on docetaxel was indicated. Fifteen days after the third course, she had a stage IV dyspnea with a dry cough. Chest radiography showed a bilateral diffuse interstitial infiltrate appearance labeled as an acute interstitial lung disease secondary to docetaxel. The outcome was good after a high dose of corticosteroids. Clinicians should be aware of the risk of interstitial lung disease with docetaxel and introduce a special monitoring of lung function