Dynamic Behavior Study of Functionally Graded Porous Nanoplates

This paper introduces the analytical solutions of complex behavior analysis utilizing high-order shear deformation plate theory of functionally graded FGM nano-plate content consisting of a mixture of metal and ceramics with porosity. To incorporate the small-scale effect, the non-local principle of elasticity is used. The impact of variance of material properties such as thickness-length ratio, aspect ratio, power-law exponent and porosity factor on natural frequencies of FG nano-plate is examined. Compared to those achieved from other researchers, the latest solutions are. Using the simulated displacements theory, equilibrium equations are obtained. Current solutions of the dimensionless frequency are compared with those of the finite element method. The effect of geometry, material variations of nonlocal FG nano-plates and the porosity factor on their natural frequencies are investigated in this review. The results are in good agreement with those of the literature.

Stable Pair Invariants of Local Calabi–Yau 4-folds

In 2008, Klemm–Pandharipande defined Gopakumar–Vafa type invariants of a Calabi–Yau 4-folds $X$ using Gromov–Witten theory. Recently, Cao–Maulik–Toda proposed a conjectural description of these invariants in terms of stable pair theory. When $X$ is the total space of the sum of two line bundles over a surface $S$, and all stable pairs are scheme theoretically supported on the zero section, we express stable pair invariants in terms of intersection numbers on Hilbert schemes of points on $S$. As an application, we obtain new verifications of the Cao–Maulik–Toda conjectures for low-degree curve classes and find connections to Carlsson–Okounkov numbers. Some of our verifications involve genus zero Gopakumar–Vafa type invariants recently determined in the context of the log-local principle by Bousseau–Brini–van Garrel. Finally, using the vertex formalism, we provide a few more verifications of the Cao–Maulik–Toda conjectures when thickened curves contribute and also for the case of local $\mathbb{P}^3$.

Reconstruction of baryon fraction in intergalactic medium through dispersion measurements of fast radio bursts

ABSTRACT Fast radio bursts (FRBs) probe the total column density of free electrons in the intergalactic medium (IGM) along the path of propagation through the dispersion measures (DMs) that depend on the baryon mass fraction in the IGM, i.e. fIGM. In this letter, we investigate the large-scale clustering information of DMs to study the evolution of fIGM. When combining with the Planck 2018 measurements, we could give tight constraints on the evolution of fIGM(z) from about 104 FRBs with the intrinsic DM scatter of $30(1+z) \rm pc\, cm^{-3}$ spanning 80 per cent of the sky and redshift range z = 0–3. First, we consider the Taylor expansion of fIGM(z) up to second order, and find that the mean relative standard deviation σ(fIGM) ≡ 〈σ[fIGM(z)]/fIGM(z)〉 is about 6.7 per cent. In order to alleviate the dependence on fiducial model, we also adopt non-parametric methods in this work, the local principle component analysis. We obtain the consistent, but weaker constraints on the evolution of fIGM(z), namely the mean relative standard deviation σ(fIGM) is 21.4 per cent. With the forthcoming surveys, this could be a complimentary method to investigate the baryon mass fraction in the IGM.

Surface Energy of Curved Surface Based on Lennard-Jones Potential

Although various phenomena have confirmed that surface geometry has an impact on surface energy at micro/nano scales, determining the surface energy on micro/nano curved surfaces remains a challenge. In this paper, based on Lennard-Jones (L-J) pair potential, we study the geometrical effect on surface energy with the homogenization hypothesis. The surface energy is expressed as a function of local principle curvatures. The accuracy of curvature-based surface energy is confirmed by comparing surface energy on flat surface with experimental results. Furthermore, the surface energy for spherical geometry is investigated and verified by the numerical experiment with errors within 5%. The results show that (i) the surface energy will decrease on a convex surface and increase on a concave surface with the increasing of scales, and tend to the value on flat surface; (ii) the effect of curvatures will be obvious and exceed 5% when spherical radius becomes smaller than 5 nm; (iii) the surface energy varies with curvatures on sinusoidal surfaces, and the normalized surface energy relates with the ratio of wave height to wavelength. The curvature-based surface energy offers new insights into the geometrical and scales effect at micro/nano scales, which provides a theoretical direction for designing NEMS/MEMS.

BACURAMIN KA’ SARUGA: A SUSTAINABLE PRESERVATION LOCAL PRINCIPLE IN KAPUAS HULU FOR KERUPUK BASAH AS GEOGRAPHICAL INDICATION

Kerupuk Basah called temet by Kapuas Hulu Local Community was provided for home consumption long long time ago. But lately, it was spread throughout Kalimantan Barat Province, likely Pontianak, Mempawah and Sintang. The taste proved that Kerupuk Basah from Kapuas Hulu had some differences than others, including finer surface structure, stronger fish taste, and softer when pressed or chewed. The study used statute approach and method through indepth interview. The study found there were 3 (three) factors which influenced Kerupuk Basah taste from Kapuas Hulu, namely 1) natural factor (Toman and Belida fish were the main composition in making Kerupuk Basah were only find in upstream of Kapuas Hulu river); 2) human factor (Kerupuk Basah was initially processed by Kapuas Hulu local community in the past and had been preserved until now then made them had a special expertise and able to make good quality of Kerupuk Basah; 3) combination of natural and human factor (Belida and Toman fish lived there combined with local community ability made Kerupuk Basah had a good reputation and unique characteristic). All of those factors led Kerupuk Basah could be Kapuas Hulu Geographical Indication. Then, Bacuramin Ka’Saruga (Dayak principle as most of local people there) agreed choice by the community, local government and Small and Medium Enterprises in Kapuas Hulu.

BACURAMIN KA’ SARUGA: A SUSTAINABLE PRESERVATION LOCAL PRINCIPLE IN KAPUAS HULU FOR KERUPUK BASAH AS GEOGRAPHICAL INDICATION

Kerupuk Basah called temet by Kapuas Hulu Local Community was provided for home consumption long long time ago. But lately, it was spread throughout Kalimantan Barat Province, likely Pontianak, Mempawah and Sintang. The taste proved that Kerupuk Basah from Kapuas Hulu had some differences than others, including finer surface structure, stronger fish taste, and softer when pressed or chewed. The study used statute approach and method through indepth interview. The study found there were 3 (three) factors which influenced Kerupuk Basah taste from Kapuas Hulu, namely 1) natural factor (Toman and Belida fish were the main composition in making Kerupuk Basah were only find in upstream of Kapuas Hulu river); 2) human factor (Kerupuk Basah was initially processed by Kapuas Hulu local community in the past and had been preserved until now then made them had a special expertise and able to make good quality of Kerupuk Basah; 3) combination of natural and human factor (Belida and Toman fish lived there combined with local community ability made Kerupuk Basah had a good reputation and unique characteristic). All of those factors led Kerupuk Basah could be Kapuas Hulu Geographical Indication. Then, Bacuramin Ka’Saruga (Dayak principle as most of local people there) agreed choice by the community, local government and Small and Medium Enterprises in Kapuas Hulu.

Heterogeneous Image Matching via a Novel Feature Describing Model

Computer vision has been developed greatly in the past several years, and many useful and interesting technologies have been presented and widely applied. Image matching is an important technology based on similarity measurement. In this paper, we propose a novel feature describing model based on scale space and local principle component analysis for heterogeneous image matching. The traditional uniform eight-direction statistics is updated by a task-related k-direction statistics based on prior information of the keypoints. In addition, the k directions are determined by an approximately solution of a Min-Max problem. The principle component analysis is introduced to compute the main directions of local patches based on the gradient field. In addition, the describing vector is formed by then implementing PCA on each sub-patch of a 4 × 4 mesh. Experimental results show the accuracy and efficiency of proposed method.

Raising and long-distance agreement in Passamaquoddy: A unified analysis

This article presents an analysis of two constructions in the Eastern Algonquian language Passamaquoddy in which the position of the object of a verb of cognition (‘know’, ‘believe’, ‘remember’, ‘wonder about’, ‘suspect’) is linked, either by apparent raising or by apparent long-distance agreement, to a position within a clausal complement to the verb. The latter position may be arbitrarily deeply embedded. The analysis developed here, formulated in the framework of Head-driven Phrase Structure Grammar, demonstrates that the two constructions in fact represent alternative realizations of identical argument structures for the verbs in question and that the apparent long-distance dependencies involved can be accounted for in terms of a purely local principle of argument selection.