منابع مشابه
The L-busemann-petty Centroid Inequality
The ratio between the volume of the p-centroid body of a convex body K in Rn and the volume of K attains its minimum value if and only if K is an origin symmetric ellipsoid. This result, the Lp-Busemann-Petty centroid inequality, was recently proved by Lutwak, Yang and Zhang. In this paper we show that all the intrinsic volumes of the p-centroid body of K are convex functions of a time-like par...
متن کاملThe Generalized Busemann-petty Problem with Weights
This question is known as the generalized Busemann-Petty problem. For i = n − 1, the problem was posed by Busemann and Petty [2] in 1956. It has a long history, and the answer is affirmative if and only if n ≤ 4; see [3], [8], [11]. For the generalized Busemann-Petty problem the following statements are known. If i = 2, n = 4, an affirmative answer follows from that in the case i = n − 1. If 3 ...
متن کاملPetty corruption in health care.
"Petty corruption and honesty in all health care systems" is the original title of one of the bioethics networks within the worldwide study projects of the International Association of Bioethics. As the coordinator of this network, it still puzzles me why the word "petty" is in the title when in the past few years-through interviews and questionnaires involving 18 countries-it has become eviden...
متن کاملPetty Corruption and Citizen Reports
This paper argues that self-reporting schemes whereby citizens report their noncompliance with regulation can prevent corruption in administrations. In our model, entrepreneurs must comply with regulation before undertaking a risky activity. O cials verify compliance before granting permits, and may engage in either bribery or extortion. Without a self-reporting scheme, the government tolerates...
متن کاملStability in the Busemann-petty and Shephard Problems
A comparison problem for volumes of convex bodies asks whether inequalities fK(ξ) ≤ fL(ξ) for all ξ ∈ S imply that Voln(K) ≤ Voln(L), where K,L are convex bodies in R, and fK is a certain geometric characteristic of K. By linear stability in comparison problems we mean that there exists a constant c such that for every ε > 0, the inequalities fK(ξ) ≤ fL(ξ) + ε for all ξ ∈ S imply that (Voln(K))...
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ژورنال
عنوان ژورنال: Cahiers du monde russe
سال: 2016
ISSN: 1252-6576,1777-5388
DOI: 10.4000/monderusse.8366