Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Corrigendum to “On two conjectures concerning convex curves”, by V. Sedykh and B. Shapiro
View through CrossRef
As was pointed out by S. Karp, Theorem B of paper [V. Sedykh and B. Shapiro, On two conjectures concerning convex curves, Int. J. Math. 16(10) (2005) 1157–1173] is wrong. Its claim is based on an erroneous example obtained by multiplication of three concrete totally positive [Formula: see text] upper-triangular matrices, but the order of multiplication of matrices used to produce this example was not the correct one. Below we present a right statement which claims the opposite to that of Theorem B. Its proof can be essentially found in a recent paper [N. Arkani-Hamed, T. Lam and M. Spradlin, Non-perturbative geometries for planar [Formula: see text] SYM amplitudes, J. High Energy Phys. 2021 (2021) 65].
World Scientific Pub Co Pte Ltd
Title: Corrigendum to “On two conjectures concerning convex curves”, by V. Sedykh and B. Shapiro
Description:
As was pointed out by S.
Karp, Theorem B of paper [V.
Sedykh and B.
Shapiro, On two conjectures concerning convex curves, Int.
J.
Math.
16(10) (2005) 1157–1173] is wrong.
Its claim is based on an erroneous example obtained by multiplication of three concrete totally positive [Formula: see text] upper-triangular matrices, but the order of multiplication of matrices used to produce this example was not the correct one.
Below we present a right statement which claims the opposite to that of Theorem B.
Its proof can be essentially found in a recent paper [N.
Arkani-Hamed, T.
Lam and M.
Spradlin, Non-perturbative geometries for planar [Formula: see text] SYM amplitudes, J.
High Energy Phys.
2021 (2021) 65].
Related Results
Type Curves For McKinley Analysis Of Drill-Stem Test Data
Type Curves For McKinley Analysis Of Drill-Stem Test Data
Abstract
McKinley-type curves that include the effects of short production times (i.e., less than 120 minutes) have been developed for pressure buildup test analy...
Orthogonal Curve Analysis of Human Scalp Shape
Orthogonal Curve Analysis of Human Scalp Shape
This paper presents a shape analysis on orthogonal feature curves of 3D bald head scans with the intention of predicting scalp shape under the hair. While there are currently a num...
Characterization of the Propagation Route of Light Passing Through Convex Lens
Characterization of the Propagation Route of Light Passing Through Convex Lens
Abstract
Existing optical theory states that the light directed to the optical center of the convex lens will travel in a straight line. Does the theory hold? If this is tr...
General regularities of height-diameter curves in Hungarian oak, sessile oak and Turkey oak high forests
General regularities of height-diameter curves in Hungarian oak, sessile oak and Turkey oak high forests
The height-diameter curves of natural even-aged Hungarian oak, sessile oak and Turkey oak forests in the regions of Staro Oryahovo, Sherba, Tsonevo and Aytos Forestry Districts hav...
Convex-Rod Derotation Maneuver on Lenke Type I Adolescent Idiopathic Scoliosis
Convex-Rod Derotation Maneuver on Lenke Type I Adolescent Idiopathic Scoliosis
Abstract
BACKGROUND
Convex-rod derotation may have potential advantages for adolescent idiopathic scoliosis (AIS) correction; however, study of t...
Asteroid phase curves reconstructed with light curve inversion – prospects for LSST
Asteroid phase curves reconstructed with light curve inversion – prospects for LSST
Asteroids’ phase curves – the dependence of their brightness on the solar phase angle – carry information about asteroid surface properties in terms of light scattering. Phase curv...
Antecedents for the Shapiro–Keyser Cyclone Model in the Bergen School Literature
Antecedents for the Shapiro–Keyser Cyclone Model in the Bergen School Literature
AbstractTwo widely accepted conceptual models of extratropical cyclone structure and evolution exist: the Norwegian and Shapiro–Keyser cyclone models. The Norwegian cyclone model w...
Feasibility Study of Heat Transfer Enhancement in Solar Photovoltaic-Thermal Systems Using FDM Generated Novel Curved Thermal Absorbers
Feasibility Study of Heat Transfer Enhancement in Solar Photovoltaic-Thermal Systems Using FDM Generated Novel Curved Thermal Absorbers
Abstract
Global warming and climate change are the major global concerns in the recent past as far as power generation is concerned. Renewable energy power generatio...