Alpha-synuclein is the major component of Lewy bodies, insoluble protein aggregates, found in patients with Parkinson’s disease, diffuse Lewy body disease, and the Lewy body variant of Alzheimer’s disease. Alpha-synuclein has been found within Lewy bodies to contain many different modifications, including nitration, phosphorylation, ubiquitination, and truncation. C-terminally truncated forms o...

Interpolation is a fundamental issue in image processing. In this short paper, we communicate ongoing results concerning the accuracy of two landmark approaches: the Shannon expansion and the Discrete Fourier Transform (DFT) interpolation. Among all sources of error, we focus on the impact of spatial truncation. Our estimations are expressed in the form of upper bounds on the Root Mean Squared ...

In fact, if an asterisk is added to the end of a phrase, truncation is performed. No double quotes are required around the phrase, as the asterisk acts as a phrase marker as well as truncation. The PubMed searches in the supplementary material duplicate the search string used in the article. Sets 3 and 9 utilize the phrase truncation feature (figure 1). The number of results is the same for the...

Abstract An hallmark of present-day Dyson-Schwinger equation applications in hadron physics is the existence of a systematic and symmetry preserving truncation scheme. This enables the proof of exact results; e.g., the leptonic decay constant of every pseudoscalar meson except the pion vanishes in the chiral limit. Calculations using the scheme’s leading-order truncation are reliable in the vec...

This study examines English-speaking children's truncation patterns (i.e., syllable deletion patterns) in multisyllabic words to determine if they are consistent with metrical constraints or perceptual biases. It also examines segmental influences on children's truncations. Children, age 22-34 months, produced three-syllable novel and real words and four-syllable real words, which varied across...

This paper discusses model order reduction of LTI systems over limited frequency intervals within the framework of balanced truncation. Two new frequency-dependent balanced truncation methods were developed, one is SF-type frequency-dependent balanced truncation to copy with the cases that only a single dominating point of the operating frequency interval is pre-known, the other is interval-typ...

986812401 Doubly truncated data appear in a number of applications, including astronomy and survival analysis. In this paper we review the existing methods to compute the NPMLE under double truncation, which has no explicit form and must be approximated numerically. We introduce the bootstrap as a method to estimate the finite sample distribution of the NPMLE under double truncation. The perfor...

Cube propagation has been suggested as an alternative to Jacobian integration for estimating the volume change under a deformation in three dimensions [Pai et al., 2013]. Cube propagation estimates the change in volume by approximating a three dimensional volume as a mesh of tetrahedra, which covers the interior of the volume and approximates the boundary as piece-wise triangular surface patche...

Let H = (V, E) be a hypergraph and let k ≥ 1 and l ≥ 0 be fixed integers. LetM be the matroid with ground-set E s.t. a set F ⊆ E is independent if and only if each X ⊆ V with k|X| − l ≥ 0 spans at most k|X| − l hyperedges of F . We prove that if H is dense enough, thenM satisfies the double circuit property, thus the min-max formula of Dress and Lovász on the maximum matroid matching holds forM...

We investigate the non-perturbative renormalization group flow of scalar Galileon model in flat space. discuss different expansion schemes truncation, including a heat-kernel based derivative expansion, vertex momentum space and curvature terms covariant geometric formulation. find that symmetry prevents quantum induced running couplings. Consequently, truncation only features trivial Gaussian ...