| Presentation | 2017-07-27 A Matrix Approach to Execute Differential Calculus of Approximated Function Yugo Wakamatsu, Masahiro Hayashi, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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) |
| Keyword(in English) | Differential Calculus / Approximation / Multilinear Polynomial / Reliability / Failure Rate |
| Paper # | CQ2017-32 |
| Date of Issue | 2017-07-20 (CQ) |
| Conference Information | |
| Committee | CQ |
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| Conference Date | 2017/7/27(2days) |
| 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. |
| Chair | Takanori Hayashi(HIT) |
| Vice Chair | Hideyuki Shimonishi(NEC) / Jun Okamoto(NTT) |
| Secretary | Hideyuki Shimonishi(Keio Univ.) / Jun Okamoto(NTT) |
| Assistant | Norihiro Fukumoto(KDDI Research) / Kenko Ota(NIT) / Ryo Yamamoto(UEC) |
| Paper Information | |
| Registration To | Technical Committee on Communication Quality |
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| Language | JPN |
| 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 |
| Keyword(6) | |
| 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.) |
| Date | 2017-07-27 |
| Paper # | CQ2017-32 |
| Volume (vol) | vol.117 |
| Number (no) | CQ-159 |
| Page | pp.pp.19-24(CQ), |
| #Pages | 6 |
| Date of Issue | 2017-07-20 (CQ) |