scholarly journals Body of constant width with minimal area in a given annulus

2021 ◽  
Vol 8 ◽  
pp. 415-438
Author(s):  
Antoine Henrot ◽  
Ilaria Lucardesi
Keyword(s):  
Constant Width ◽  
Body Of Constant Width ◽  
Minimal Area

scholarly journals Covering a reduced spherical body by a disk

2020 ◽  
Vol 72 (10) ◽  
pp. 1400-1409
Author(s):  
M. Musielak
Keyword(s):  
Convex Body ◽  
Constant Width ◽  
Spherical Body ◽  
Body Of Constant Width

UDC 514 In this paper, the following theorems are proved: (1) every spherical convex body of constant width may be covered by a disk of radius (2) every reduced spherical convex body of thickness may be covered by a disk of radius  

scholarly journals Minimal area problems and quantum open strings

1991 ◽  
Vol 141 (3) ◽  
pp. 577-592 ◽  
Author(s):  
Barton Zwiebach
Keyword(s):  
Open Strings ◽  
Minimal Area

scholarly journals LOOP EQUATION AND AREA LAW IN TURBULENCE

1994 ◽  
Vol 09 (08) ◽  
pp. 1197-1238 ◽  
Author(s):  
A. A. MIGDAL
Keyword(s):  
Fluid Dynamics ◽  
Summer School ◽  
Spatial Scales ◽  
Inertial Range ◽  
Coordinate Space ◽  
Extended Version ◽  
Closed Loops ◽  
Loop Equation ◽  
Minimal Area ◽  
Area Law

This is an extended version of the preprint,4 based on the lectures given at Cargese Summer School and Chernogolovka Summer School in 1993. The incompressible fluid dynamics is reformulated as dynamics of closed loops C in coordinate space. We derive explicit functional equation for the pdf of the circulation PC (Γ) which allows the scaling solutions in the inertial range of spatial scales. The pdf decays as exponential of some power of Γ3/A2, where A is the minimal area inside the loop.

Representation of cochlea within primary auditory cortex in the cat

1975 ◽  
Vol 38 (2) ◽  
pp. 231-249 ◽  
Author(s):  
M. M. Merzenich ◽  
P. L. Knight ◽  
G. L. Roth
Keyword(s):  
Auditory Cortex ◽  
Frequency Band ◽  
Constant Width ◽  
Primary Auditory Cortex ◽  
Cortical Surface ◽  
Cortical Layers ◽  
Secondary Field ◽  
Mapping Techniques ◽  
Cochlear Partition ◽  
Tonal Stimuli

The representation of sound frequency (and of the cochlear partition) within primary auditory cortex has been investigated with use of microelectrode-mapping techniques in a series of 25 anesthetized cats. Among the results were the following: 1) Within vertical penetrations into AI, best frequency and remarkably constant for successively studied neurons across the active middle and deep cortical layers. 2) There is an orderly representation of frequency (and of represented cochlear place) within AI. Frequency is rerepresented across the mediolateral dimension of the field. On an axis perpendicular to this plane of rerepresentation, best-frequency (represented cochlear place) changes as a simple function of cortical location. 3) Any given frequency band (or sector of the cochlear partition) is represented across a belt of cortex of nearly constant width that runs on a nearly straight axis across AI. 4) There is a disproportionately large cortical surface representation of the highest-frequency octaves (basal cochlea) within AI. 5) The primary and secondary field locations were somewhat variable, when referenced to cortical surface landmarks. 6) Data from long penetrations passing down the rostral bank of the posterior ectosylvian sulcus were consistent with the existence of a vertical unit of organization in AI, akin to cortical columns described in primary visual and somatosensory cortex. 7) Responses to tonal stimuli were encountered in fields dorsocaudal, caudal, ventral, and rostral to AI. There is an orderly representation of the cochlea within the field rostal to AI, with a reversal in best frequencies across its border with AI. 8) Physiological definitions of AI boundaries are consistent with their cytoarchitectonic definition. Some of the implications of these findings are discussed.

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