jiangyf2008@gmail.com, skomatsu@perimeterinstitute.ca, ivan.kostov & didina.serban@cea.fr
Abstract
We develop analytical methods for computing **the** structure constant for **three** heavy operators, starting from **the** recently proposed hexagon approach. Such a structure constant is a semiclassical object, with **the** scale set by **the** inverse length of **the** operators playing **the** role of **the** Planck constant. We reformulate **the** hexagon expansion in terms of multiple contour integrals **and** recast it as a sum over clusters generated by **the** residues of **the** measure of integration. We test **the** method on two examples. First, we compute **the** asymptotic **three**-**point** **function** of heavy fields at any coupling **and** show **the** result in **the** semiclassical limit matches both **the** string theory computation at strong coupling **and** **the** tree-level results obtained before. Second, in **the** case of one non-BPS **and** two BPS operators at strong coupling we sum up all wrapping corrections associated with **the** opposite bridge to **the** non-trivial operator, or **the** “bottom” mirror channel. We also give an alternative interpretation of **the** results in terms of a gas of fermions **and** show that they can be expressed compactly as an operator- valued super-determinant.

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Received: 15 July 2019; Accepted: 23 July 2019; Published: 5 August 2019
Abstract: Dietary patterns, or **the** combination of foods **and** beverages intake, have been associated with better cognitive **function** in older persons. To date, no study has investigated **the** link between a posteriori nutrient patterns based on food intake, **and** cognitive decline in longitudinal analyses. **The** aim of this study was to evaluate **the** relationship between nutrient patterns **and** cognitive **function** **and** decline in two longitudinal cohorts of older persons from France **and** Canada. **The** study sample was composed of participants from **the** **Three**-City study (3C, France) **and** **the** Quebec Longitudinal Study on Nutrition **and** Successful Aging (NuAge, Quebec, Canada). Both studies estimated nutritional intakes at baseline, **and** carried out repeated measures of global cognitive **function** for 1,388 **and** 1,439 individuals, respectively. Nutrient patterns were determined using principal component analysis methodology in **the** two samples, **and** their relation with cognitive **function** **and** decline was estimated using linear mixed models. In 3C, a healthy nutrient pattern, characterized by higher intakes of plant-based foods, was associated with a higher global cognitive **function** at baseline, as opposed to a Western nutrient pattern, which was associated with lower cognitive performance. In NuAge, we also found a healthy nutrient pattern **and** a Western pattern, although no association was observed with either of these patterns in **the** Canadian cohort. No association between any of **the** nutrient patterns **and** cognitive decline was observed in either cohort. There is a need for longitudinal cohorts focusing on nutrient patterns with substantial follow-up, in order to evaluate more accurately associations between nutrition **and** cognition in older persons.

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Although adverse outcomes related to inappropriate drug use according to Beer s criteria is well documented, 14 16 this study is **the** ’ [ – ]
first to **point** out that using drugs requiring dose adjustment is associated with excess mortality among community-dwelling elderly with impaired kidney **function**, regardless of age, gender, **and** several potential confounders. **The** hazard ratio for contraindicated drugs was of **the** same order of magnitude, but not statistically significant, possibly because of **the** small sample size for this subgroup. These findings are consistent with those from Hug et al, 8 showing that adverse drug events were common among hospitalized adult patients with [ ]

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Each of these results covers a particular case of **three**- (or higher-) **point** functions, **and** we do not yet have a comprehensive understanding of **the** generic structure of correlation functions, as we do for **the** spectrum. In particular, we do not yet have a method which provides an acceptable recipe for obtaining a particular **three**-**point** **function**. Nevertheless, a coherent picture starts to emerge, **and** an important step forward is **the** very recent calculation of su(2) correlation functions by Kazama **and** Komatsu at strong coupling [21]. In this work, we revisit **the** computation of quantum **three**-**point** functions in [16–18], with **the** purpose 1) to get reliable expressions in **the** semi-classical limit, which can be compared to **the** strong coupling results **and** 2) to set up a systematic formalism for proceeding to higher loop orders. In order to extend **the** results from tree-level to loops, we need to have a good description of **the** wave functions **and** scalar products of long-range interacting spin chains.

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Fig.1 Schematic representation of, (a) particle binder bonding **and** resin bridge in 3D printed sand molds, (b) tighly packed particles
**The** interstices between **the** grains of sand in **the** 3D printed parts permit **the** evacuation of air during **the** filling of **the** mold as well as **the** flow of **the** gases generated during filling **and** solidification of **the** alloy. These gases are evacuated more or less rapidly depending on **the** permeability of **the** sand [12, 13]. Researchers have studied **the** gas emissions from mold **and** core sand binders, where **the** thermal degradation of binders was measured by collecting off gasses in specially designed ventilation hood at a constant flow rate [13]. Also a numerical model was developed to estimate **the** potential out-gassing of **the** furan bonded silica molds **and** cores [12]. In this respect, liquid binder blocks gas flow through **the** sand, resulting in slow filling of **the** mold cavity **and** more gas being trapped during pouring of **the** alloy. Therefore, **the** permeability of **the** mold must be high enough to accelerate filling **and** minimize casting defects. However, excessively high permeability values obtained by using coarse grains of sand may also lead to metal penetration defects due to large inter-sand grain spacing, so a compromise between both effects should be found.

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Matarrese et al. 1997 ; Verde et al. 1998 , 2000 ; Scoccimarro 2000 ; Scoccimarro et al. 2001 ; Sefusatti & Scoccimarro 2005 ;
Sefusatti & Komatsu 2007 ).
**The** aim of this paper is to push these investigations to higher redshifts. For this purpose, we analyse **the** VIPERS Public Data Release 1 (PDR-1) ( Guzzo et al. 2014 ; Garilli et al. 2014 ), con- straining **the** dependence of **the** 3PCF on stellar mass **and** lumi- nosity. A similar analysis of **the** same dataset has been performed by Marulli et al. ( 2013 ) (hereafter M13), but for **the** 2PCF. This paper is intended as an extension of **the** analysis done in M13, exploiting **the** additional constraints that can be obtained from higher-order correlation functions. In particular, we focus our analysis on **the** non-linear or mildly non-linear evolution regime, since **the** size of **the** survey does not allow us to probe those scales sensitive to possible primordial non-Gaussianities.

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1
ANGULAR **CLUSTERING** OF X-RAY **POINT**-LIKE SOURCES IN **THE** XMM LARGE SCALE STRUCTURE SURVEY
O. Garcet 1 , P. Gandhi 2 , E. Gosset 1 , A. Gueguen 3 , F. Pacaud 3 , M. Pierre 3 , **and** J. Surdej 1 1 Institut d’Astrophysique et de G´eophysique, Universit´e de Li`ege, Belgium

4.4 Metric learning evaluation
We have seen in **the** previous section that **the** decision whether two coins have **the** same die is a problem of binary classifica- tion. To correctly evaluate this part, we have aligned by hand **the** patterns, then we perform an ICP to refine **and** then, we can test if two patterns are similar or not. As it said in previous section, **the** dataset is composed of 2145 comparisons so 2145 histograms. In our dataset, we have 1436 negative labels **and** 709 positive labels. We divide our dataset randomly in a train- ing set **and** a test set: half of our dataset is used for training, **the** other half is used for testing. We can simply compute **the** accur- acy on **the** test set to see if our method is correct or not. When **the** patterns are correctly registered using ICP, **the** accuracy is 98% on **the** test set. But if we registrate **the** patterns by hand **the** accuracy drop to 72% on **the** test set. It shows that ICP allows a better repeatability in decision. We can see that **the** method is very effective when **the** patterns are well aligned. When pat- terns are **the** same, **the** histograms of distances are good features to see if **the** patterns are similar or not. But it will fail when **the** coins are not well aligned. We have also shown that **the** metric learning part doesn’t need a huge dataset to learn an appropriate metric.

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Fig. 2. **The** vignetting of an oblique light beam in a lens. Reproduced
from [ 6 ]
treme oblique rays, **the** light is extinguished altogether. Vignetting, as this phenomenon is known in photography, is **the** denotation of **the** gradual fading of **the** intensity of an image from **the** centre to- wards **the** edge. As a result, an unintended darkening of **the** image corners might appear in a photographic image. While natural **and** optical vignetting might be inherent to **the** optical lens system de- sign, mechanical vignetting is usually caused by due to protrusions that partially occlude **the** FOV [ 7 ]. **The** difference between them is that while natural **and** optical vignetting leads to a gradual transition from a brighter image center to darker corners, for mechanical vi- gnetting, **the** fall-off is usually abrupt. In this paper, we will only discuss optical vignetting as this is **the** primary field aberration in a MACROscope. An important remark is that **the** optical vignetting should not be confused with **the** Petzval field curvature, an optical aberration, caused due to **the** inability of **the** lens to focus a flat ob- ject normal to **the** optical axis to a flat image plane.

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A. Related Work
Dynamic **clustering** in cooperative transmissions has been well investigated in **the** literature, but mostly for unicast best effort traffic with **the** goal of maximizing functions of **the** user data rates under static traffic models. **The** different approaches can be classified into network-centric **and** user- centric **clustering**. In **the** former, a set of BSs forms a cluster, **and** all **the** users attached to them are served by **the** cluster. In **the** latter, each user may have its own cluster of coordinated BSs **and** thus clusters for different transmissions may overlap. Greedy algorithms based approaches have been widely used in network-centric **clustering** algorithms, e.g. [8]–[12]. They are based on **the** idea of sequentially adding **the** best BSs to **the** cluster up to a certain maximum cluster size. A greedy algorithm based on sum-rate maximization is developed in [8], one of **the** first reference on BS **clustering**. Yoon et al. focus in [9] on cell-edge users performance **and** propose a greedy **clustering** algorithm to maximize **the** cooperation gain, along with an interference weight calculation algorithm to reduce complexity. Improving **the** spectral efficiency is **the** main goal of [10], which relies on dynamic but non-overlapping clusters formed based on a greedy approach. In [11], a dynamic BS **clustering** algorithm has been proposed based on maximizing **the** weighted sum rate, using a greedy iterative algorithm. This **clustering** is combined with a scheduling algorithm **and** eval- uated with dynamic traffic models in [12]. However, greedy search method based **clustering** algorithms may not provide **the** optimal cluster for group communications, since **the** cluster must be designed based on all group users performance. We note that, for computational complexity reasons, only non- overlapping clusters are considered in these studies, which may be sub-optimal for some users.

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spread **function** ∗
Chao Wang † , Raymond Chan † , Mila Nikolova ‡ , Robert Plemmons § , **and** Sudhakar Prasad ¶
Abstract. We consider **the** high-resolution imaging problem of 3D **point** source image recovery from 2D data using a method based on **point** spread **function** (PSF) engineering. **The** method involves a new technique, recently proposed by S. Prasad, based on **the** use of a rotating PSF with a single lobe to obtain depth from defocus. **The** amount of rotation of **the** PSF encodes **the** depth position of **the** **point** source. Applications include high-resolution single molecule localization microscopy as well as **the** problem addressed in this paper on localization of space debris using a space-based telescope. **The** localization problem is discretized on a cubical lattice where **the** coordinates of nonzero entries represent **the** 3D locations **and** **the** values of these entries **the** fluxes of **the** **point** sources. Finding **the** locations **and** fluxes of **the** **point** sources is a large-scale sparse 3D inverse problem. A new nonconvex regularization method with a data-fitting term based on Kullback-Leibler (KL) divergence is proposed for 3D localization for **the** Poisson noise model. In addition, we propose a new scheme of estimation of **the** source fluxes from **the** KL data-fitting term. Numerical experiments illustrate **the** efficiency **and** stability of **the** algorithms that are trained on a random subset of image data before being applied to other images. Our 3D localization algorithms can be readily applied to other kinds of depth-encoding PSFs as well.

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dominan
e of a single intensity value. Hen
e, **the** ba
kground is almost uniform **and** for our
model we
an assume it to be a
onstant. What we
an also infer from **the** gures is that
there is a uniformity in **the** illumination **and** no alignment problems. **The** mean value of
**the** ba
kground signal from this estimation pro
edure was found to be about 3.13 intensity level units (IU). Fig. 4(a) shows **the** histogram
al
ulated for **the** sli
e in Fig. 3(b). In **the**

In a recent paper [11], we revisited **the** distance-dependent two-**point** **function** of planar triangulations (maps whose all faces have degree 3) **and** showed how to obtain its expres- sion from **the** solution of some direct recursion relation on **the** associated slice generating functions. **The** solution of **the** recursion made a crucial use of some old results by Tutte in his seminal paper [15] on triangulations. In this paper, we extend **the** analysis of [11] to **the** case of planar quadrangulations (maps which all faces of degree 4) by showing that a similar recursion may be written **and** solved by **the** same treatment as for triangulations.

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ard deviation suggests motions occurring on a slower timescale. Those slower motions were confirmed **and** char- acterized (Figs S1 **and** S2). S 2 in those regions generally could not be characterized by NMR due to overlapping/
broad peaks, further demonstrating **the** value of **the** simulations.
Dynamics on **the** intermediate (ns- µs) timescale. To investigate **the** intermediate timescale of motions, we extracted **the** Cα root mean square fluctuation (RMSF) from **the** molecular dynamics simulations (Fig. S2 **and** Table S6). As observed for fast motions, **the** core of each β-lactamase was rigid, while **the** surface loops were more flexible (Fig. 3 ). TEM-1 **and** **the** chimeras showed significantly more ns-µs dynamic residues than PSE-4, in agreement with **the** higher sequence similarity of **the** chimeras to TEM-1. **The** substitution of up to 19 amino acids in TEM-1 did not markedly alter ns-µs dynamics.

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Here, we exploit **the** MSTM in conjunction with a single SLM to perform arbitrary spatio- spectral PSF engineering. It consists of (i) measuring **the** MSTM to characterize light scattering induced by **the** medium **and** (ii) numerically filtering a virtual pupil **function** with a spectrally- dependent mask prior to (iii) focusing. Importantly, nearly any arbitrary mask (phase **and**/or amplitude) can be applied onto **the** pupil **function**. This versatility is experimentally shown through **the** generation of two different spatio-spectral PSFs that both aim at decoupling axial confinement from lateral extent, with multiphoton microscopy applications envisioned. First, we revisit traditional temporal focusing (TF) **and** show that our approach is not restricted to disperse **the** pulse along only one spatial dimension as offered by diffraction gratings. Secondly, we report on another TF-like PSF that benefits from **the** high transverse resolution of a bessel beam but with a better axial confinement. Corresponding spatio-temporal profiles are characterized with a 2-photon fluorescence process.

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40. Vreugdenhil, A. C., C. H. Rousseau, T. Hartung, J. W. Greve, C. van 't Veer **and** W. A. Buurman. 2003. "Lipopolysaccharide (LPS)-binding protein mediates LPS detoxification by
chylomicrons." J Immunol 170: 1399-1405.
41. Atarashi, K., T. Tanoue, M. Ando, N. Kamada, Y. Nagano, S. Narushima, W. Suda, A. Imaoka, H. Setoyama, T. Nagamori, E. Ishikawa, T. Shima, T. Hara, S. Kado, T. Jinnohara, H. Ohno, T. Kondo, K. Toyooka, E. Watanabe, S.-I. Yokoyama, S. Tokoro, H. Mori, Y. Noguchi, H. Morita, I. I. Ivanov, T. Sugiyama, G. Nuñez, J. G. Camp, M. Hattori, Y. Umesaki, **and** K. Honda. 2015. Th17 Cell Induction by Adhesion of Microbes to Intestinal Epithelial Cells. Cell. 163: 367– 380.

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1. INTRODUCTION
Medical ultrasound (US) imaging is widely used for clinical diagnosis such as cardiovascular medicine, urology **and** ob- stetrics. Compared to other medical imaging modalities, e.g., X-ray computed tomography (CT) **and** magnetic resonance imaging (MRI), US imaging has many advantages, including its harmless, cost-effective, portable **and** noninvasive proper- ties. However, US images suffer from a relatively low con- trast, reduced spatial resolution at a given frequency **and** low signal-to-noise ratio (SNR). Even though advances in ultra- sonic device-based solutions have improved **the** resolution of

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roberto.canas@nrc.gc.ca
Abstract - Range scanning of building interiors generates very
large, partially spurious **and** unstructured **point** cloud data. Accurate information extraction from such data sets is a complex task due to **the** presence of multiple objects, diversity of their shapes, large disparity in **the** feature sizes, **and** **the** spatial uncertainty due to occluded regions. A fast segmentation of such data is necessary for quick understanding of **the** scanned scene. Unfortunately, traditional range segmentation methodologies are computationally expensive because they rely almost exclusively on shape parameters (normal, curvature) **and** are highly sensitive to small geometric distortions in **the** captured data. This paper introduces a quick **and** effective segmentation technique for large volumes of colorized range scans from unknown building interiors **and** labelling clusters of points that represent distinct surfaces **and** objects in **the** scene. Rather than computing geometric parameters, **the** proposed technique uses a robust Hue, Saturation **and** Value (HSV) color model as an effective means of identifying rough clusters (objects) that are further refined by eliminating spurious **and** outlier points through region growth **and** a fixed distance neighbors (FDNs) analysis. **The** results demonstrate that **the** proposed method is effective in identifying continuous clusters **and** can extract meaningful object clusters, even from geometrically similar regions.

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