Results 81 to 90 of about 1,272 (163)
This paper presents the culminating result of SAPZ Step 2 by rigorously proving that the vanishing of the weighted VMO deviation δ(T) for log |ζ(1/2 + i t)| implies convergence of empirical pair correlation operators to the GUE sine kernel in the operator-theoretic sense.
openaire +2 more sources
What’s new in v3.1 BMO/VMO analysis report (“BMO VMO analysis(full images).pdf”): added the full‐resolution figures and updated Table 1 to exactly match the numerical CSV. High‐res versions of the GUE/BMO zero‐correlations paper (“Gue Bmo Zeta final3(Hi-resolution).pdf”) alongside the original lower‐res PDF. Quantitative BMO spacing study (
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Developmental gene expression profile of Vmo1 in the mouse auditory system
Hearing loss (HL) is a sensory disorder that affects an estimated 250 million people worldwide and can greatly affect quality of life. In New Zealand, more than 10% of the population is affected by HL with the Māori population being overrepresented among
Forrester-Gauntlett, Blaise Kelly Erin
core
Function spaces between BMO and critical Sobolev spaces
The function spaces D-k(R-n) are introduced and studied. The definition of these spaces is based on a regularity property for the critical Sobolev spaces W-s,W-p(R-n), where sp = n, obtained by J.Bourgain, H.Brezis, New estimates for the Laplacian, the ...
Jean Van Schaftingen +1 more
core +1 more source
Assessment of knee extensor mechanism function and the manipulation of that function
Dysfunction of the knee extensor mechanism resulting in patellofemoral pain (PFP)presents a significant challenge to those clinicians working in musculoskeletalmedicine.
Herrington, LC
core
This report forms the v4.0 milestone of the SAPZ (Spectral and Arithmetic Perspectives on Generalized Zeta-like Functions) project. It investigates the theoretical foundations of BMO/VMO conditions, δ(T) decay behavior, and their role in understanding the distribution of nontrivial zeros of the Riemann zeta function.
openaire +1 more source
Knee pathology is a common clinical complaint that may result in diminished function of the affected lower extremity, ultimately leading to atrophy of the vastus medialis oblique (VMO) muscle.
Turner, James, Thielen, Dan
core
A decomposition of functions with vanishing mean oscillation
A function has vanishing mean oscillation (VMO) on R up(n) if its mean oscillation - the local average of its pointwise deviation from its mean value - both is uniformly bounded over all cubes within R up(n) and converges to zero with the volume of the ...
Korey, Michael Brian
core
Compensation phenomena in geometric partial differential equations [PDF]
In this thesis we present optimal and improved estimates for systems of critical elliptic PDE which arise as generalisations of natural geometric problems.
Sharp, Benjamin G.
core
Objective: The purpose of this study was to evaluate the inter-rater reliability of the Functional Knee Extension Test (FKET), a non-weight bearing functional assessment of the knee that is utilized within clinical practice.
Brett Jarosz (11833657) +3 more
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