| Presentation | 2016-01-29 On a piecewise linear enclosure of a continuous function of many variables Hideaki Okazaki, Shunsuke Otsuka, Hideo Nakano, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We provide the importance that Weierstrass's approximation theorem contributes to constructions of piecewise linear enclosures (having representable lower and upper bounds) of continuous functions of many variables in order to obtain the rigorous enclosures of sets of solutions to nonlinear system equations or computation nonlinear problems. We also consider an error evaluation of numerical integrations of convolutions in Weierstrass's approximation theorem. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Weierstrass's approximation theorem / numerical integration error of convolution |
| Paper # | CAS2015-72 |
| Date of Issue | 2016-01-21 (CAS) |
| Conference Information | |
| Committee | CAS |
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| Conference Date | 2016/1/28(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kikai-Shinko-Kaikan Bldg. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Satoshi Tanaka(Murata) |
| Vice Chair | Toshihiko Takahashi(Niigata Univ.) |
| Secretary | Toshihiko Takahashi(Hitachi) |
| Assistant | Toshihiro Tachibana(Shonan Inst. of Tech.) / Yohei Nakamura(Hitachi) |
| Paper Information | |
| Registration To | Technical Committee on Circuits and Systems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On a piecewise linear enclosure of a continuous function of many variables |
| Sub Title (in English) | Error bounds of numerical convolution |
| Keyword(1) | Weierstrass's approximation theorem |
| Keyword(2) | numerical integration error of convolution |
| 1st Author's Name | Hideaki Okazaki |
| 1st Author's Affiliation | Shonan Institute of Technology(SIT) |
| 2nd Author's Name | Shunsuke Otsuka |
| 2nd Author's Affiliation | Shonan Institute of Technology(SIT) |
| 3rd Author's Name | Hideo Nakano |
| 3rd Author's Affiliation | Shonan Institute of Technology(SIT) |
| Date | 2016-01-29 |
| Paper # | CAS2015-72 |
| Volume (vol) | vol.115 |
| Number (no) | CAS-422 |
| Page | pp.pp.61-66(CAS), |
| #Pages | 6 |
| Date of Issue | 2016-01-21 (CAS) |