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Paper Abstract and Keywords
Presentation 2017-07-27 10:50
A Matrix Approach to Execute Differential Calculus of Approximated Function
Yugo Wakamatsu, Masahiro Hayashi (Tokyo City Univ.) CQ2017-32
Abstract (in Japanese) (See Japanese page) 
(in English) This paper proposes a new method to approximate the results of differential calculus of a function. If this function (target function) is obtained by the repetition of additions, subtractions, multiplications, and divisions of easily differentiable functions, then the differential calculus of the target function becomes very complicated. While a recent research has proposed an effective method to avoid this problem, it still remains another problem. We sometimes derive an approximation function for the target function. However, differential calculus of the approximation function is not guaranteed to be reasonably near to the differential calculus of the target function. Now, this paper find that we can obtain approximation of differential calculus of the target function if the target function and its approximation function satisfies special conditions, such as they have the structures of multilinear polynomials. We frequently find that multilinear polynomial in the field of reliability engineering. Therefore our new method has wide applications in this engineering field.
Keyword (in Japanese) (See Japanese page) 
(in English) Differential Calculus / Approximation / Multilinear Polynomial / Reliability / Failure Rate / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 159, CQ2017-32, pp. 19-24, July 2017.
Paper # CQ2017-32 
Date of Issue 2017-07-20 (CQ) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF CQ2017-32

Conference Information
Committee CQ  
Conference Date 2017-07-27 - 2017-07-28 
Place (in Japanese) (See Japanese page) 
Place (in English) Kobe University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Assessment, Measurement and Control of QoE and QoS, etc. 
Paper Information
Registration To CQ 
Conference Code 2017-07-CQ 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Matrix Approach to Execute Differential Calculus of Approximated Function 
Sub Title (in English)  
Keyword(1) Differential Calculus  
Keyword(2) Approximation  
Keyword(3) Multilinear Polynomial  
Keyword(4) Reliability  
Keyword(5) Failure Rate  
1st Author's Name Yugo Wakamatsu  
1st Author's Affiliation Tokyo City University (Tokyo City Univ.)
2nd Author's Name Masahiro Hayashi  
2nd Author's Affiliation Tokyo City University (Tokyo City Univ.)
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Date Time 2017-07-27 10:50:00 
Presentation Time 25 
Registration for CQ 
Paper # IEICE-CQ2017-32 
Volume (vol) IEICE-117 
Number (no) no.159 
Page pp.19-24 
#Pages IEICE-6 
Date of Issue IEICE-CQ-2017-07-20 

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