scholarly journals MATLAB GUI for computing Bessel functions using continued fractions algorithm

2011 ◽  
Vol 33 (1) ◽  
Author(s):  
E. Hernández ◽  
K. Commeford ◽  
M.J. Pérez-Quiles
Keyword(s):  
User Interface ◽  
Bessel Function ◽  
Continued Fractions ◽  
Recurrence Relations ◽  
Engineering Students ◽  
Bessel Functions ◽  
Higher Order ◽  
Graphic User Interface ◽  
Miller’S Algorithm ◽  
The Stability

Higher order Bessel functions are prevalent in physics and engineering and there exist different methods to evaluate them quickly and efficiently. Two of these methods are Miller's algorithm and the continued fractions algorithm. Miller's algorithm uses arbitrary starting values and normalization constants to evaluate Bessel functions. The continued fractions algorithm directly computes each value, keeping the error as small as possible. Both methods respect the stability of the Bessel function recurrence relations. Here we outline both methods and explain why the continued fractions algorithm is more efficient. The goal of this paper is both (1) to introduce the continued fractions algorithm to physics and engineering students and (2) to present a MATLAB GUI (Graphic User Interface) where this method has been used for computing the Semi-integer Bessel Functions and their zeros.

The Application of LabVIEW in Control System Stability Analysis

2012 ◽  
Vol 182-183 ◽  
pp. 788-792
Author(s):  
Xue Ning Xing
Keyword(s):  
Control System ◽  
Stability Analysis ◽  
User Interface ◽  
Control Theory ◽  
Time Domain ◽  
System Stability ◽  
Graphic User Interface ◽  
System Stability Analysis ◽  
The Stability ◽  
Classical Control

The stability of the system is the prior condition for whether the control system can operate normally, in the classical control theory, time domain analyze method, complex domain analyze method and frequency domain analyze method are often used to analyze the performance of the control system. Using LabVIEW to design graphic user interface, input parameters, then the curve can be drawn out immediately and calculate the interrelated parameters, which plays an important role in analyzing the stability of the system.

A Chinese cooking robot for elderly and disabled people

Robotica ◽  
2011 ◽  
Vol 29 (6) ◽  
pp. 843-852 ◽  
Author(s):  
Wen-Tao Ma ◽  
Wei-Xin Yan ◽  
Zhuang Fu ◽  
Yan-Zheng Zhao
Keyword(s):  
User Interface ◽  
Special Needs ◽  
Daily Life ◽  
Personal Digital Assistant ◽  
Design Principles ◽  
Graphic User Interface ◽  
Disabled People ◽  
Chinese Cooking ◽  
Barrier Free

Cooking themselves is very important and difficult for elderly and disabled people in daily life. This paper presents a cooking robot for those people who are confined to wheelchairs. The robot can automatically load ingredients, cook Chinese dishes, take cooked foods out, deliver dishes to the table, self-clean, collect used ingredient box components, and so on. Its structure and interface is designed based on the barrier-free design principles. Elderly and disabled people can only click one button in the friendly Graphic User Interface of a Personal Digital Assistant (PDA) to launch the cooking processes, and several classic Chinese dishes would be placed in front of them one after another within few minutes. Experiments show that the robot can meet their special needs, and the involved aid activities are easy and effective for elderly and disabled people.

Higher monotonicity properties of normalized Bessel functions

2014 ◽  
Vol 12 (05) ◽  
pp. 1461007
Author(s):  
Yongping Liu
Keyword(s):  
Bessel Function ◽  
Bessel Functions ◽  
Positive Zero ◽  
Local Maxima ◽  
Monotonicity Properties

Denote by Jν the Bessel function of the first kind of order ν and μν,k is its kth positive zero. For ν > ½, a theorem of Lorch, Muldoon and Szegö states that the sequence [Formula: see text] is decreasing, another theorem of theirs states that the sequence [Formula: see text] has higher monotonicity properties. In the present paper, we proved that when ν > ½ the sequence [Formula: see text] has higher monotonicity properties and the properties imply those of the sequence of the local maxima of the function x-ν+1|Jν-1(x)|, x ∈ (0, ∞), i.e. the sequence [Formula: see text] has higher monotonicity properties.

scholarly journals PHASE PORTRAIT OF SECOND-ORDER DYNAMIC SYSTEMS

2018 ◽  
Vol 6 (3) ◽  
pp. 252-262 ◽  
Author(s):  
Kaloyan Yankov
Keyword(s):  
Phase Portrait ◽  
Plasma Renin ◽  
Higher Order ◽  
Second Order ◽  
Graphical Form ◽  
Time Behavior ◽  
Long Time ◽  
Phase Plane Method ◽  
The Stability ◽  
Higher Order Differential Equations

The phase portrait of the second and higher order differential equations presents in graphical form the behavior of the solution set without solving the equation. In this way, the stability of a dynamic system and its long-time behavior can be studied. The article explores the capabilities of Mathcad for analysis of systems by the phase plane method. A sequence of actions using Mathcad's operators to build phase portrait and phase trace analysis is proposed. The approach is illustrated by a model of plasma renin activity after treatment of experimental animals with nicardipine. The identified process is a differential equation of the second order. The algorithm is also applicable to systems of higher order.

scholarly journals Development of learning materials in recurrence relations based on blended learning and wet land environment to increase higher order thinking skill of students

2020 ◽  
Vol 6 (2) ◽  
pp. 142-155
Author(s):  
Noor Fajriah ◽  
Taufiq Hidayanto ◽  
Rizki Amalia
Keyword(s):  
Blended Learning ◽  
Recurrence Relations ◽  
Higher Order Thinking ◽  
Higher Order ◽  
Thinking Skill ◽  
Learning Materials ◽  
E Learning

Perguruan Tinggi diharapkan dapat menyiapkan sumber daya manusia yang berkompeten dan mampu bersaing di dunia kerja khususnya pada revolusi industri 4.0. Salah satu bentuk jawaban dari tantangan revolusi industri 4.0 dalam praktik pembelajaran di Perguruan tinggi adalah pemanfaatan e-learning. Penelitian ini bertujuan untuk mengembangkan bahan ajar materi relasi rekurensi berbasis blended learning yang valid dan efektif. Bahan ajar dikembangkan menurut prosedur pengembangan bahan ajar 4D (Define, Design, Develop, dan Disseminate). Pengembangan hanya difokuskan pada tahap Define, Design, dan Develop. Pada tahap develop, ahli yang dilibatkan sebagai validator sebanyak dua orang pada sesi penilaian ahli (expert appraisal). Hasil validasi bahan ajar adalah Va=3,38 dan berskor lebih dari atau sama dengan 2 pada setiap aspek di masing-masing validator, sehingga bahan ajar dinyatakan valid. Setelah bahan ajar divalidasi, bahan ajar diuji keefektifannya dengan melibatkan 42 mahasiswa sebagai subjek pada sesi Uji Pengembangan (Developmental Testing). Hasil uji keefektifannya yaitu Ka=3,30 dan berskor lebih dari atau sama dengan 2 pada setiap aspek di masing-masing subjek uji. Oleh karena itu, bahan ajar dinyatakan efektif.

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