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Wiktionary英語版での「convex envelope」の意味 |
convex envelope
名詞
convex envelope (複数形 convex envelopes)
- (mathematical analysis, of a set) Convex hull.
- 1965 [Holt Rinehart & Winston], Robert E. Edwards, Functional Analysis: Theory and Applications, Dover, 1995, Unabridged Corrected Edition, page 561,
- 1987, H. G. Eggleston, S. Madan (translators), Nicolas Bourbaki, Topological Vector Spaces: Chapters 1–5, [1981, N. Bourbaki, Espaces Vectoriels Topologiques], Springer, page IR-10,
- Corollary 1. — The convex envelope of a subset A of E is identical with the set of linear combinations , where is any finite family of points in A, the numbers for all i and .
- 2010, Marcel Berger, Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry, Springer, page 505,
- (mathematics, optimisation theory, of a function on a set) For a given set and real-valued function f defined on the convex hull conv(S), the highest-valued convex function that underestimates or equals f over S.
- 2004, Fabio Tardella, On the existence of polyhedral convex envelopes, Christodoulos A. Floudas, Panos M. Pardalos (editors), Frontiers in Global Optimization, Springer (Kluwer Academic), page 564,
- One of the main reasons for the interest in convex envelopes is the fact that the set of global minimum points of f on S is contained in the set of global minimum points of convS(f) on S and the two minimum values coincide (see, e.g., [11, 17]). Hence, if the convex envelope were efficiently computable or available in closed form, one could replace the nonconvex problem of minimizing f on S with the convex problem of minimizing f on convS(f).
- 2004, C. A. Floudas, I. G. Akrotiriankis, S. Caratzoulas, C. A. Meyer, J. Kallrath, Global Optimization in the 21st Century: Advances and Challenges, Ana Paula Barbosa-Póvoa, Henrique Matos (editors), European Symposium on Computer Aided Process Engineering-14: 37th European Symposium of the Working Party, Elsevier, page 25,
- Tawarmalani and Sahinidis (2001) developed the convex envelope and concave envelope for x/y over a unit hypercube, compared it to the convex relaxation proposed by Zamora and Grosmmann (1998a), (1998b), (1999), proposed a semidefinite relaxation of x/y, and suggested convex envelopes for functions of the form f(x)y2 and f(x)/y.
- 2005, Nguyen Van Thoai, 4: General Quadratic Programing, Charles Audet, Pierre Hansen, Giles Savard (editors), Essays and Surveys in Global Optimization, Springer, page 120,
- 2012, Petro Bilotti, Sonia Cafieri, Jon Lee, Leo Liberti, Andrew J. Miller, On the Composition of Convex Envelopes for Quadrilinear Terms,
- Comparing the use of convex envelopes for bilinear and trilinear forms in building convex approximations for MINLPs motivated the study in [6], and comparisons involving more general functional forms motivate the present article.
- 2004, Fabio Tardella, On the existence of polyhedral convex envelopes, Christodoulos A. Floudas, Panos M. Pardalos (editors), Frontiers in Global Optimization, Springer (Kluwer Academic), page 564,
使用する際の注意点
(optimisation theory): Called the convex envelope of f on S. Notations include and, assuming S is understood, .
同意語
- (optimisation theory): lower convex envelope
「convex envelope」の部分一致の例文検索結果
該当件数 : 7件
In this mascara brush, the envelope of the shorter bristles is conical, double-conical, convex or concave or a combination thereof.例文帳に追加
短い方のブラシ毛の包絡面が円錐形、二重円錐形、凸面または凹面であるか、これらの形状を組み合わせた形であること。 - 特許庁
To provide an envelope with air cushion (cushion envelope) which is capable of surely protecting packaged articles, while having an air cushion which does not roughen the envelop in a concavo-convex state even if air is fed into an air cushion member (buffer sheet).例文帳に追加
梱包品を確実に保護できるとともにエアクッション部材(緩衝シート)にエアを供給しても封筒を凸凹状に変形させないエアクッション付き封筒(緩衝封筒)を提供すること。 - 特許庁
To provide a paper-made envelope which enables the smooth insertion of a delivery object, improves cushioning effect by transmitting a bearing from the delivery object uniformly to a concave-convex group of an embossing paper, and can be sealed properly by finely protecting the concave-convex of the embossing paper to the delivery object.例文帳に追加
本発明は配送物を封筒内に円滑に差し入れることができると共に、配送物による面圧をエンボス紙の凹凸群に均一に伝えて緩衝効果を向上し、配送物に対しエンボス紙の凹凸を良好に保護し、封止を健全に行うことができる紙製封筒を提供する。 - 特許庁
The rotating anode X-ray tube includes: an anode target 10 including an X-ray radiation layer, a plurality of slits each of which has a terminal end part 13a, and a concave-convex part 15; a reinforcement member 20 having the concave-convex part 25 fitted into the concave-convex 15; a rotational body 30; a joint part 40; a fixed body; a cathode; and a vacuum envelope.例文帳に追加
回転陽極型のX線管は、X線放射層と、それぞれ終端部13aを有した複数のスリットと、凹凸部15と、を含んだ陽極ターゲット10と、凹凸部15に嵌合された凹凸部25を有した補強部材20と、回転体30と、継手部40と、固定体と、陰極と、真空外囲器と、を備えている。 - 特許庁
The task organization includes the selection of a virtual performance mode of a platform by using a plurality of working speeds in a convex energy velocity envelope curve of the platform.例文帳に追加
タスクの編成は、プラットフォームの凸エネルギー速度包絡線にある複数の動作速度を用いてプラットフォームの仮想動作モードを選択することを含む。 - 特許庁
To easily confirm an embroidery range and to improve the workability of trace operation by finding the embroidery range almost corresponding to the outline of an embroidery pattern from a polygon including a convex octagon, envelope polygon or circle corresponding to the shape of a working fabric holding frame to be used.例文帳に追加
刺繍模様の外形に略則した刺繍範囲を、使用する加工布保持枠の形状に応じて、凸状の八角形を含む多角形や包絡多角形や円で求めることで、刺繍範囲の確認がし易いこと、トレース動作の作業性の向上を図ること。 - 特許庁
To provide a planar heating element in which an exothermic metal thin wire can be simply and positively fixed without using a special material for the envelope of a sheet-like base material and the exothermic metal thin wire, and comfort is not impeded by a concavo-convex feeling by exposure of the exothermic metal thin wire on the sheet surface.例文帳に追加
シート状基材や発熱金属細線の外被に特殊な材質のものを用いることなく簡単確実に発熱金属細線を固定するとともに、発熱金属細線がシート面に露出することによる凹凸感によって快適性が阻害されることを防止する面状発熱体及びその製造方法を提供する。 - 特許庁
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意味 | 例文 (7件) |
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