標(biāo)題: Titlebook: Bodies of Constant Width; An Introduction to C Horst Martini,Luis Montejano,Déborah Oliveros Textbook 2019 Springer Nature Switzerland AG 2 [打印本頁] 作者: 夸大 時(shí)間: 2025-3-21 18:43
書目名稱Bodies of Constant Width影響因子(影響力)
書目名稱Bodies of Constant Width影響因子(影響力)學(xué)科排名
書目名稱Bodies of Constant Width網(wǎng)絡(luò)公開度
書目名稱Bodies of Constant Width網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Bodies of Constant Width被引頻次
書目名稱Bodies of Constant Width被引頻次學(xué)科排名
書目名稱Bodies of Constant Width年度引用
書目名稱Bodies of Constant Width年度引用學(xué)科排名
書目名稱Bodies of Constant Width讀者反饋
書目名稱Bodies of Constant Width讀者反饋學(xué)科排名
作者: 藝術(shù) 時(shí)間: 2025-3-21 20:58
Examples and Constructions,tant width with the help of special embeddings of self-dual graphs. In Section?., we will give a procedure of finitely many steps to construct 3-dimensional constant width bodies from Reuleaux polygons, and in Section?., we will construct constant width bodies with analytic boundaries.作者: 輕觸 時(shí)間: 2025-3-22 00:38 作者: Spinal-Tap 時(shí)間: 2025-3-22 07:24 作者: 新鮮 時(shí)間: 2025-3-22 11:37 作者: 潛伏期 時(shí)間: 2025-3-22 13:48
https://doi.org/10.1007/b138658uded that they must all have at least one section that is not of constant width. To show this could, however, be tricky, even in cases as simple as the body produced by rotating the Reuleaux triangle around one of its axes of symmetry.作者: 暖昧關(guān)系 時(shí)間: 2025-3-22 17:51 作者: 反省 時(shí)間: 2025-3-22 23:22
https://doi.org/10.1007/b138658 the Reuleaux triangle, may be used as a cylindrical roller. Besides this nice property, the curves of constant width, in particular, the Reuleaux triangle, have been exploited by engineers, artists, and designers to obtain wonderful objects and number of ingenious mechanisms.作者: chalice 時(shí)間: 2025-3-23 02:35
Bodies of Constant Width in Art, Design, and Engineering, the Reuleaux triangle, may be used as a cylindrical roller. Besides this nice property, the curves of constant width, in particular, the Reuleaux triangle, have been exploited by engineers, artists, and designers to obtain wonderful objects and number of ingenious mechanisms.作者: recede 時(shí)間: 2025-3-23 05:32 作者: flutter 時(shí)間: 2025-3-23 11:10 作者: FLEET 時(shí)間: 2025-3-23 15:18
https://doi.org/10.1007/b138658it can be completed to a body of constant width. These results are known as the Theorems of Meissner and Pál, respectively. Section . will be devoted to the study of reduced convex bodies, a notion somehow “dual” to completeness, and in Section . we complete convex bodies preserving some of their original characteristics, such as symmetries.作者: 使饑餓 時(shí)間: 2025-3-23 19:01 作者: LAVE 時(shí)間: 2025-3-24 00:13 作者: Duodenitis 時(shí)間: 2025-3-24 04:24
Bodies of Constant Width in Topology,bic dodecahedron circumscribing the sphere of diameter 1 is a universal cover in .. Finally, in Section . the topology and the geometry of Grassmannian spaces are used to see how big or complicated a collection of constant width sections should be such that the original body is of constant width.作者: 哀求 時(shí)間: 2025-3-24 10:03 作者: 弓箭 時(shí)間: 2025-3-24 12:53 作者: 龍卷風(fēng) 時(shí)間: 2025-3-24 18:27
Basic Properties of Bodies of Constant Width,rds of a convex body that have maximum length, and it is their behavior which gives constant width bodies their basic properties. Unlike the diameters of a ball, those of a body of constant width do not always meet at a single point, but when they do so, it is because the body is indeed a ball.作者: CHYME 時(shí)間: 2025-3-24 19:56
Systems of Lines in the Plane,nes, in particular those which are combined with a given convex set by a certain property. For example, the system of lines that leave a fixed proportion of area, or a fixed proportion of perimeter, in one side of the convex set for every direction. Consider, for instance, the collection of tangent 作者: Palate 時(shí)間: 2025-3-24 23:46 作者: mitral-valve 時(shí)間: 2025-3-25 04:16 作者: mosque 時(shí)間: 2025-3-25 07:57
Examples and Constructions,ant width is undoubtedly the Reuleaux triangle of width . which is the intersection of three disks of radius . and whose boundary consists of three congruent circular arcs of radius .. In Section?., we will see that the Reuleaux triangle can be generalized to plane convex figures of constant width .作者: membrane 時(shí)間: 2025-3-25 15:44
Sections of Bodies of Constant Width, was not a constructive one, that is, no nonconstant width section of a body of constant width was actually exhibited. In fact, it was proven that if all sections of a convex body have constant width, then the body is a ball. Since there are bodies of constant width other than the ball, it was concl作者: FLOAT 時(shí)間: 2025-3-25 18:46 作者: 泰然自若 時(shí)間: 2025-3-25 23:49 作者: 使害怕 時(shí)間: 2025-3-26 01:54 作者: Yourself 時(shí)間: 2025-3-26 06:42
https://doi.org/10.1007/b138350rds of a convex body that have maximum length, and it is their behavior which gives constant width bodies their basic properties. Unlike the diameters of a ball, those of a body of constant width do not always meet at a single point, but when they do so, it is because the body is indeed a ball.作者: 書法 時(shí)間: 2025-3-26 09:18 作者: certain 時(shí)間: 2025-3-26 15:54 作者: 名字的誤用 時(shí)間: 2025-3-26 18:25 作者: 格子架 時(shí)間: 2025-3-26 23:31 作者: beta-carotene 時(shí)間: 2025-3-27 01:52
Linux- und Open-Source-StrategienIn this chapter, bodies of constant width in the plane are studied. We call them figures of constant width. In studying them, it is important to recall from Section?. that the concepts “normal”, “binormal”, “diameter”, and “diametral chord” coincide.作者: 漂浮 時(shí)間: 2025-3-27 07:59
Was Linux bietet, was Linux braucht,In Euclidean space, the length of a segment depends only on its magnitude, never on its direction. However, for certain geometrical problems the need arises to give a different definition for the length of a segment that depends on both the magnitude and the direction.作者: 惡心 時(shí)間: 2025-3-27 11:18 作者: 小母馬 時(shí)間: 2025-3-27 14:36
https://doi.org/10.1007/b138658The notion of . represents a profound concept first discovered by Minkowski in 1900. In the letter?[838] he wrote to Hilbert explaining his discoveries as interesting and quite enlightening. As we can see below, this concept will allow us to prove several classical theorems on the volume of constant width bodies in a somewhat unexpected way.作者: Acetabulum 時(shí)間: 2025-3-27 20:29 作者: fulcrum 時(shí)間: 2025-3-27 22:49 作者: 令人不快 時(shí)間: 2025-3-28 02:33
https://doi.org/10.1007/b138658We start with the versions of the Helly’s Theorem developed by V. Klee [628]. Let . and . be two convex bodies in ., and consider the following two subsets: .It is easy to see that both sets are convex bodies. From this, the following variant of Helly’s theorem is immediately obtained.作者: 易于 時(shí)間: 2025-3-28 08:56 作者: 聯(lián)想記憶 時(shí)間: 2025-3-28 13:35
Convex Geometry,Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things.作者: 凝視 時(shí)間: 2025-3-28 18:03
Figures of Constant Width,In this chapter, bodies of constant width in the plane are studied. We call them figures of constant width. In studying them, it is important to recall from Section?. that the concepts “normal”, “binormal”, “diameter”, and “diametral chord” coincide.作者: 確定的事 時(shí)間: 2025-3-28 21:31
Bodies of Constant Width in Minkowski Spaces,In Euclidean space, the length of a segment depends only on its magnitude, never on its direction. However, for certain geometrical problems the need arises to give a different definition for the length of a segment that depends on both the magnitude and the direction.作者: 乳白光 時(shí)間: 2025-3-28 23:30 作者: dissolution 時(shí)間: 2025-3-29 03:27
Mixed Volumes,The notion of . represents a profound concept first discovered by Minkowski in 1900. In the letter?[838] he wrote to Hilbert explaining his discoveries as interesting and quite enlightening. As we can see below, this concept will allow us to prove several classical theorems on the volume of constant width bodies in a somewhat unexpected way.作者: Explicate 時(shí)間: 2025-3-29 11:08
Bodies of Constant Width in Analysis,One of the most fascinating theorems on 3-dimensional bodies of constant width, stated and proved by H. Minkowski in 1904, is presented in this section.作者: ligature 時(shí)間: 2025-3-29 14:03 作者: Tdd526 時(shí)間: 2025-3-29 16:48 作者: 西瓜 時(shí)間: 2025-3-29 23:25
Concepts Related to Constant Width,A polytope . is . about a convex body . if . and each facet of . intersects .; i.e., every facet of . is contained in a support hyperplane of .. A polytope . is . in the convex body . if . and each of its vertices belongs to ..作者: 組成 時(shí)間: 2025-3-30 03:34 作者: Graphite 時(shí)間: 2025-3-30 06:14
Springer Nature Switzerland AG 2019作者: Misgiving 時(shí)間: 2025-3-30 09:24
Linux- und Open-Source-Strategien round or circular in shape. An axle placed at the center of the wheel does not move up and down when the circle turns. It only moves laterally at a constant height from the ground, and this is because every ray of the circle from the axle to the edge of the wheel has the same length.作者: BROOK 時(shí)間: 2025-3-30 13:06 作者: Initiative 時(shí)間: 2025-3-30 18:21 作者: Forehead-Lift 時(shí)間: 2025-3-30 23:54
https://doi.org/10.1007/b138658 is the intersection of all balls of radius . that contain . and .. We say that a set ., with diameter less than or equal to 2., is . if given a pair of points . and . in ., the .-interval they determine is also in ..作者: commune 時(shí)間: 2025-3-31 04:37 作者: 模范 時(shí)間: 2025-3-31 07:39 作者: VALID 時(shí)間: 2025-3-31 09:56 作者: restrain 時(shí)間: 2025-3-31 16:01 作者: Hay-Fever 時(shí)間: 2025-3-31 19:52
https://doi.org/10.1007/b138658 However, a cylindrical roller does not require a circular cross section to allow smooth forward motion. In fact, any curve of constant width, such as the Reuleaux triangle, may be used as a cylindrical roller. Besides this nice property, the curves of constant width, in particular, the Reuleaux tri作者: 消毒 時(shí)間: 2025-3-31 22:23
Introduction, round or circular in shape. An axle placed at the center of the wheel does not move up and down when the circle turns. It only moves laterally at a constant height from the ground, and this is because every ray of the circle from the axle to the edge of the wheel has the same length.作者: 壓倒 時(shí)間: 2025-4-1 03:42 作者: 拖債 時(shí)間: 2025-4-1 09:35 作者: 淘氣 時(shí)間: 2025-4-1 13:40
10樓作者: aggrieve 時(shí)間: 2025-4-1 15:00
10樓作者: 假裝是我 時(shí)間: 2025-4-1 20:20
10樓作者: oracle 時(shí)間: 2025-4-2 00:59
10樓
