MXNet is a multi-language machine learning (ML) library to ease the development of ML algorithms, especially for deep neural networks. Embedded in host language, it blends declarative symbolic expression with imperative tensor computation. It offers auto differentiation derive gradients. computation and memory efficient runs on various heterogeneous systems, ranging from mobile devices distributed GPU clusters. This paper describes both API design system implementation MXNet, explains how...

We demonstrate a probabilistic shaping (PS) four-dimensional (4D) modulation in self-homodyne coherent transmission system. The 4D is based on inter-symbol amplitude translation (AT) to perform set partitioning. distribution of constellation points after AT optimized by de-DC. parity bits produced the are transmitted with pilot tone remapping. In addition, soft decision for this 4D-PS signal proposed. An experiment ultra-high order two cores 7-core fiber demonstrated spectral efficiency...

Organic-inorganic formamidinium lead triiodide (FAPbI

This paper proposes a probabilistic amplitude shaping (PAS) scheme with systematic cascaded staircase and Hamming codes (CSHC). The integration of low-complexity concatenated within PAS the use SIHO decoder are enabled by applying inter-bit independence assumption. ensures compatibility high throughput transmission. In addition, reduced test pattern set in reduces cardinality 34.37%. proposed is experimentally demonstrated self-homodyne coherent transmission over 22.5 km 7-core fiber, 21...

Abstract We study the full asymptotic expansion of monodromy data (i.e. Stokes multipliers) for first Painlevé transcendent (PI) with large initial or pole parameters. Our primary approach involves refining complex WKB method, also known as method uniform asymptotics, to approximate second-order ODEs derived from PI’s Lax pair higher-order accuracy. As an application, we provide a rigorous proof nonlinear eigenvalues proposed numerically by Bender, Komijani, and Wang. Additionally, present...

The construction industry consumes a great deal of energy and causes environmental pollution, especially the interior design because lower degree automation brings more ecological problems. Thus, intelligent automated manufacturing are essential for design, as they can increase efficiency reduce pollution sustainable development. This study proposes new method automatic based on Grasshopper (GH) proves its effectiveness in through practice. proposed automatically generates suitable drawings...

A fully integrated energy-efficient 10-Gb/s millimeter-wave transceiver with direct-modulation digital transmitter (TX) and I/ Q phase-coupled frequency synthesizer in 65 nm CMOS is presented. The consists of a direct-conversion receiver (RX), TX on-chip QPSK modulation, quadrature local-oscillation (LO) generation network 20-GHz phase-locked loop (PLL) synthesizer. T/R switch to interface an E-shaped patch antenna. modulation directly realized the power amplifier (DPA), which simplifies...

Abstract Gangliosides with a short carbohydrate chain: II 3 (NeuAc) 2 ‐LacCer, ‐GgOse Cer, NeuAc‐LacCer, and NeuAC‐GgOse were found to be predominant in the brain of 8 species cartilaginous fish, elasmobranches. N ‐acetylneuraminic acid was only sialic these gangliosides, ‐glycolyl derivative being practically absent. 4‐Sphingenine shown sphingoid elasmobranch gangliosides. The sequential enzymatic hydrolysis ‐LacCer from shark ray by acylneur‐aminyl hydrolase (EC 3.2.1.18)...

Mathematical justifications are given for several integral and series representations of the Dirac delta function which appear in physics literature. These include integrals products Airy functions, Coulomb wave functions; they also Laguerre polynomials spherical harmonics. The methods used essentially based on asymptotic behavior these special functions.

This enzyme has been purified more than 10,000fold from MacrobdelZa leech.The final preparation gives a single protein band on SDS-polyacrylamide gel electrophoresis with the molecular mass of 84 kDa.The PI is determined to be 6.0 using isoelectric focusing.With 4-methylumbelliferyl-a-NeuAc as substrate, pH optimum between 5.5-7.0.Unlike regular sialidases, sialidase L not inhibited by 2-deoxy-2,3-dehydro-NeuAc.Two seven tryptic peptides derived contain consensus repeat S- X-D-X-G-X-T-W that...

Using the weighted and shifted Lubich difference (WSLD) operator, we propose an efficient stable scheme for solving space tempered fractional diffusion equations. The has fourth order accuracy in second time. To improve computational efficiency further, a backward Euler is used to achieve method shown be under minor requirement. For two-dimensional problems, Crank--Nicolson alternating direction implicit (CN-ADI) reduce complexity. These proposed methods are applied Carr--Geman--Madan--Yor...

A pair of linearly independent asymptotic solutions are constructed for the second-order linear difference equation {equation*} P_{n+1}(x)-(A_{n}x+B_{n})P_{n}(x)+P_{n-1}(x)=0, where $A_n$ and $B_n$ have expansions form A_n\sim n^{-θ}\sum_{s=0}^\infty\frac{α_s}{n^s},\qquad B_n\sim\sum_{s=0}^\infty\frac{β_s}{n^s}, with $θ\neq0$ $α_0\neq0$ being real numbers, $β_0=\pm2$. Our result hold uniformly scaled variable $t$ in an infinite interval containing transition point $t_1=0$, $t=(n+τ_0)^{-θ} x$...

Two new anthraquinone glycosides, named 1-methyl-8-hydroxyl-9,10-anthraquinone-3-O-β-d-(6′-O-cinnamoyl)glucopyranoside (1) and rhein-8-O-β-d-[6′-O-(3″-methoxyl malonyl)]glucopyranoside (2), have been isolated from the roots of Rheum palmatum, together with seven known compounds, rhein-8-O-β-d-glucopyranoside (3), physcion-8-O-β-d-glucopyranoside (4), chrysophanol-8-O-β-d-glucopyranoside (5), aleo-emodin-8-O-β-d-glucopyranoside (6), emodin-8-O-β-d-glucopyranoside (7),...

The interaction between nonmetal and metal atoms has attracted great interest in the development of organometallic compounds their promising applications. In this study, we explored boron thorium atoms, based on stable B40Th coordination compound, by employing density functional theory calculations. We elucidated stability geometries compound revealed electron transfer from atom Th to B40, which is evidenced natural bond orbital This attributed electron-withdrawing character results clear...

Formamidinium lead triiodide quantum dot (FAPbI3 QD) exhibits substantial potential in solar cells due to its suitable band gap, extended carrier lifetime, and superior phase stability. However, despite great attempts toward reconfiguring the surface chemical environment of FAPbI3 QDs, achieving optimal efficiency charge extraction transfer remains a challenge. To circumvent this problem, we selectively introduced Au/FAPbI3 Schottky heterojunctions by reducing Au+ Au0 subsequently anchoring...

In the present work, we concentrate on analytical study of American options under CGMY process. The decomposition formula option and integral equation for optimal-exercise boundary are established in explicit forms. Moreover, an approximation is obtained value. This valid when time to maturity either very short or long. Numerical simulations provided European options, prices approximate values options.

Conversational text-to-SQL aims at converting multi-turn natural language queries into their corresponding SQL representations. One of the most intractable problem conversational is modeling semantics and gathering proper information required for current query. This paper shows that explicit semantic changes by adding each turn summarization whole context can bring better performance on SQLs. In particular, we propose two tasks in both grain conversation grain. These simply work as auxiliary...

Due to the fast retrieval speed and low storage cost, cross-modal hashing has become primary method for retrieval. Since emergence of deep methods, significantly improved. However, existing hash methods still need effectively utilize dataset’s supervisory information lack similarity expression ability. This means that label needs be maximized, potential semantic relationship between two modalities cannot fully explored, thus affecting judgment modalities. To address these problems, this...

Abstract This paper is devoted to the American option pricing problem governed by Black-Scholes equation. The existence of an optimal exercise policy makes a free boundary value parabolic equation on unbounded domain. satisfies nonlinear Volterra integral and solved high-order collocation method based graded meshes. then deformed fixed front-fixing transformation. condition at infinity (due fact that underlying asset's price could be arbitrarily large in theory), treated perfectly matched...