Results 1 to 10 of about 44,177 (192)

Diameters of convex bodies [PDF]

Proceedings of the American Mathematical Society, 1954
In [2], we have shown that the extended diameter family of a convex body C in n-space has the property of outward simplicity if and only if there is no pair of parallel line segments in the boundary of C respectively in an opposite pair of parallel contact planes of C.
Preston C. Hammer
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The correction range of lumbosacral curve vertebral body tilt in degenerative scoliosis for achieving postoperative coronal balance [PDF]

BMC Musculoskeletal Disorders
Purpose To explore the relationship between lumbosacral curve vertebral body tilt correction and postoperative coronal balance in adult degenerative scoliosis to determine the ideal target values for the tilt correction.
Zehua Jiang, Ziyang Liu, Chuanxu Li, Xuanhao Fu, Hao Yu, Xuan Wang, Maosen Zhang, Linyan Liu, Yuelin Cheng, Wenjun Du, Rusen Zhu   +10 more
doaj   +2 more sources

The Centroid of a Convex Body [PDF]

Proceedings of the American Mathematical Society, 1951
Preston C. Hammer
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A Class of Convex Bodies [PDF]

Transactions of the American Mathematical Society, 1969
Ethan D. Bolker
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Predicting intra-abdominal hypertension using anthropometric measurements and machine learning [PDF]

Scientific Reports
Almost one in four critically ill patients suffer from intra-abdominal hypertension (IAH). Currently, the gold standard for measuring intra-abdominal pressure (IAP) is via the bladder.
Salar Tayebi, Rob Wise, Niels Van Regenmortel, Hilde Dits, Karen Schoonheydt, Inneke De laet, Luca Malbrain, Johan Stiens, Wojciech Dabrowski, Manu L. N. G. Malbrain   +9 more
doaj   +2 more sources

On the symmetry of convex bodies [PDF]

Bulletin of the American Mathematical Society, 1964
G. D. Chakerian, Sherman K. Stein
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The geominimal integral curvature

AIMS Mathematics, 2022
In this paper, the geominimal integral curvature on the convex body is introduced. The existence and uniqueness of the geominimal integral curvature are proved.
Shuang Mou
doaj   +1 more source

Existence of Gauss John ellipsoid operator problem [PDF]

ITM Web of Conferences, 2022
There is a common example in convex geometry and Banach space geometry: the unique ellipsoid with the largest volume associated with each symmetric convex body K is called John ellipsoid.
Yu Li’ao, Zou Du
doaj   +1 more source

Quantum algorithms and lower bounds for convex optimization [PDF]

Quantum, 2020
While recent work suggests that quantum computers can speed up the solution of semidefinite programs, little is known about the quantum complexity of more general convex optimization.
Shouvanik Chakrabarti, Andrew M. Childs, Tongyang Li, Xiaodi Wu   +3 more
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THE CONVEX INTERSECTION BODY OF A CONVEX BODY [PDF]

Glasgow Mathematical Journal, 2011
AbstractLet L be a convex body in n and z an interior point of L. We associate with L and z a new, convex and centrally symmetric, body CI(L, z). This generalizes the classical intersection bodyI(L, z) (whose radial function at u ∈ Sn−1 is the volume of the hyperplane section of L through z, orthogonal to u). CI(L, z) coincides with I(L, z) if and only
Meyer, Mathieu, Reisner, Shlomo
openaire   +2 more sources