5G远程机器人辅助袖状胃切除术首例报道

本文报道2023年12月14日完成5G远程机器人辅助袖状胃切除术1例,采用微创图迈腔镜手术机器人系统(MT-1000)和5G信号网络系统,双主刀模式,患者平台位于甘肃省人民医院手术室,主操控台位于甘肃省人民医院兰州新区分院手术室(两者直线距离75.6 km)。手术总时长120 min,其中装机时间30 min,机器人操作时间90 min。术中网络延迟(55.16±25.33)ms,丢包率0.01%~0.1%。未发生网络中断等网络不良事件,手术顺利完成。

UV185联合高碘酸盐高效降解有机染料酸性红G

染料广泛用于各种行业,是水污染物的重要组成部分。近些年来基于紫外的高级氧化技术在染料废水处理行业引起了广泛的关注。该文研究了UV185联合高碘酸盐(PI)均相高级氧化体系去除典型偶氮染料酸性红G(ARG)的反应机理。UV185可以裂解水产生活性氧化物种,以UV185为灯源既保留了UV254的优势,又可以高效降解水中有机污染物。试验结果表明:当PI的投加量为0.5mmol·L^(-1),ARG初始质量浓度为50mg·L^(-1)时,光解4min时ARG去除率可达98.17%,反应过程符合一级反应动力学模型(r^(2)>0.990)。pH在酸性和中性条件下,体系对ARG仍保持着较高的去除率,pH在碱性条件下,该体系对ARG的降解有着显著的抑制作用。HCO3-和Cl-对体系会产生抑制作用,NO_(3)^(-)对体系产生轻微的促进,而SO_(4)^(2-)对反应速率几乎无影响,腐殖酸对ARG降解抑制相对较强。自由基捕获实验和电子顺磁共振测试结果表明,该体系中的活性物质为·OH、IO_(3)、IO_(4)·和^(1)O_(2)。TOC结果表明,30minTOC去除率为67.9%,高于单纯的光解和UV185联合相同浓度下的传统氧化剂过氧化氢(H_(2)O_(2))和过硫酸盐(PDS)的矿化率。根据紫外可见光谱分析,初步推断ARG降解主要通过偶氮键断裂、萘环开环。依据液相色谱-质谱联用仪实验结果提出了ARG在VUV/PI高级氧化体系降解过程中的可能转化途径。

Trajectory tracking guidance of interceptor via prescribed performance integral sliding mode with neural network disturbance observer

This paper investigates interception missiles’trajectory tracking guidance problem under wind field and external disturbances in the boost phase.Indeed,the velocity control in such trajectory tracking guidance systems of missiles is challenging.As our contribution,the velocity control channel is designed to deal with the intractable velocity problem and improve tracking accuracy.The global prescribed performance function,which guarantees the tracking error within the set range and the global convergence of the tracking guidance system,is first proposed based on the traditional PPF.Then,a tracking guidance strategy is derived using the integral sliding mode control techniques to make the sliding manifold and tracking errors converge to zero and avoid singularities.Meanwhile,an improved switching control law is introduced into the designed tracking guidance algorithm to deal with the chattering problem.A back propagation neural network(BPNN)extended state observer(BPNNESO)is employed in the inner loop to identify disturbances.The obtained results indicate that the proposed tracking guidance approach achieves the trajectory tracking guidance objective without and with disturbances and outperforms the existing tracking guidance schemes with the lowest tracking errors,convergence times,and overshoots.

Discontinuities of Banana Integrals in Dispersion Relation Representation

We derive the discontinuities of banana integrals using the dispersion relation iteratively,and find a series of identities between the parameterized discontinuities of banana integrals(p-DOBIs).Similar to elliptic integrals,these identities enable the reduction of various p-DOBIs to be a linear combination of some fundamental ones.We present a practical application of p-DOBIs for deriving the Picard–Fuchs operator.Then we establish the expression of generalized dispersion relation,which enables us to obtain the dispersion relation representation of arbitrary banana integrals.Moreover,we propose a hypothesis for generalized dispersion relation and p-DOBIs,which provides a simple way to calculate the discontinuities and transform dispersion relation representation to p-DOBIs.

A Cauchy integral formula for(p,q)-monogenic functions withα-weight

Firstly,some properties for(p,q)-monogenic functions withα-weight in Clifford analysis are given.Then,the Cauchy-Pompeiu formula is proved.Finally,the Cauchy integral formula and the Cauchy integral theorem for(p,q)-monogenic functions withα-weight are given.

Some convergence theorems of fuzzy concave integral on fuzzyσ-algebra

In this paper,we consider the extension of the concave integral from classical crispσ-algebra to fuzzyσ-algebra of fuzzy sets.Firstly,the concept of fuzzy concave integral on a fuzzy set is introduced.Secondly,some important properties of such integral are discussed.Finally,various kinds of convergence theorems of a sequence of fuzzy concave integrals are proved.

Legendre-Jacobi’s Elliptic Integrals Shed Light on the Luminosity Distance in Cosmology

This article concerns the integral related to the transverse comoving distance and, in turn, to the luminosity distance both in the standard non-flat and flat cosmology. The purpose is to determine a straightforward mathematical formulation for the luminosity distance as function of the transverse comoving distance for all cosmology cases with a non-zero cosmological constant by adopting a different mindset. The applied method deals with incomplete elliptical integrals of the first kind associated with the polynomial roots admitted in the comoving distance integral according to the scientific literature. The outcome shows that the luminosity distance can be obtained by the combination of an analytical solution followed by a numerical integration in order to account for the redshift. This solution is solely compared to the current Gaussian quadrature method used as basic recognized algorithm in standard cosmology.

Approximate solution of Volterra-Fredholm integral equations using generalized barycentric rational interpolant

It is well-known that interpolation by rational functions results in a more accurate approximation than the polynomials interpolation.However,classical rational interpolation has some deficiencies such as uncontrollable poles and low convergence order.In contrast with the classical rational interpolants,the generalized barycentric rational interpolants which depend linearly on the interpolated values,yield infinite smooth approximation with no poles in real numbers.In this paper,a numerical collocation approach,based on the generalized barycentric rational interpolation and Gaussian quadrature formula,was introduced to approximate the solution of Volterra-Fredholm integral equations.Three types of points in the solution domain are used as interpolation nodes.The obtained numerical results confirm that the barycentric rational interpolants are efficient tools for solving Volterra-Fredholm integral equations.Moreover,integral equations with Runge’s function as an exact solution,no oscillation occurrs in the obtained approximate solutions so that the Runge’s phenomenon is avoided.

Feynman Path Integral Using Operator Integration in Banach Space

Feynman-Path Integral in Banach Space: In 1940, R.P. Feynman attempted to find a mathematical representation to express quantum dynamics of the general form for a double-slit experiment. His intuition on several slits with several walls in terms of Lagrangian instead of Hamiltonian resulted in a magnificent work. It was known as Feynman Path Integrals in quantum physics, and a large part of the scientific community still considers them a heuristic tool that lacks a sound mathematical definition. This paper aims to refute this prejudice, by providing an extensive and self-contained description of the mathematical theory of Feynman Path Integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics. About a hundred years after the beginning of modern physics, it was realized that light could in fact show behavioral characteristics of both waves and particles. In 1927, Davisson and Germer demonstrated that electrons show the same dual behavior, which was later extended to atoms and molecules. We shall follow the method of integration with some modifications to construct a generalized Lebesgue-Bochner-Stieltjes (LBS) integral of the form , where u is a bilinear operator acting in the product of Banach spaces, f is a Bochner summable function, and μ is a vector-valued measure. We will demonstrate that the Feynman Path Integral is consistent and can be justified mathematically with LBS integration approach.

On the global L^(1)-boundedness of Fourier integral operators with rough amplitude and phase functions

Let T_(ϕ,a)be a Fourier integral operator with amplitude a and phase functions ϕ.In this paper,we study the boundedness of Fourier integral operator of rough amplitude a∈L^(∞)S_(ρ)^(m)and rough phase functionsϕ∈L^(m)ϕ^(2)with some measure condition.We prove the global L^(1)boundedness for T_(ϕ,a),when 1/<ρ≤1 and m<ρ-n+1/2.Our theorem improves some known results.

CAUCHY TYPE INTEGRALS AND A BOUNDARY VALUE PROBLEM IN A COMPLEX CLIFFORD ANALYSIS

Clifford analysis is an important branch of modern analysis;it has a very important theoretical significance and application value,and its conclusions can be applied to the Maxwell equation,Yang-Mill field theory,quantum mechanics and value problems.In this paper,we first give the definition of a quasi-Cauchy type integral in complex Clifford analysis,and get the Plemelj formula for it.Second,we discuss the H?lder continuity for the Cauchy-type integral operators with values in a complex Clifford algebra.Finally,we prove the existence of solutions for a class of linear boundary value problems and give the integral representation for the solution.

G3BP1基因在鸡肌内前脂肪细胞增殖与分化中的作用及其分子标记鉴定

旨在利用721只固始鸡F2代鸡群,鉴定影响肌内脂肪沉积的候选基因G3BP1的SNPs位点,用于肉质性状的分子标记开发,并利用固始鸡肌内前脂肪细胞深入探究其功能。本研究首先鉴定了G3BP1基因上的SNPs位点,发现3个突变位点处于强连锁不平衡状态,尤其是13588667G>A位点的不同基因型与固始鸡F_2资源群的皮脂、皮脂率和肌内脂肪等肉质性状显著相关(P<0.05)。因此,G3BP1基因13588667G>A位点可以作为影响肌内脂肪沉积的一个重要的分子标记。此外,本研究利用qRT-PCR、CCK-8、流式细胞术、甘油三酯含量测定和油红O染色等方法,评价了G3BP1基因对固始鸡肌内前脂肪细胞增殖与分化的影响。结果表明,过表达G3BP1后,肌内前脂肪细胞中增殖标志基因CDK1、CCNB2、PCNA和CCND1表达水平均极显著上升(P<0.001),并显著促进了细胞周期进程。过表达G3BP1后也显著促进了肌内前脂肪细胞分化标志基因LPL的表达(P<0.05),极显著促进了CEBPA的表达(P<0.001),肌内前脂肪细胞内脂滴生成和甘油三酯含量也极显著增加(P<0.01)。本研究明确了G3BP1在促进肌内前脂肪细胞增殖与脂肪细胞生成中的作用,并鉴定了影响肌内脂肪沉积的分子标记,为我国优质肉鸡培育提供重要的理论依据和应用价值。

Design of integral sliding mode guidance law based on disturbance observer

With the increasing precision of guidance,the impact of autopilot dynamic characteristics and target maneuvering abilities on precision guidance is becoming more and more significant.In order to reduce or even eliminate the autopilot dynamic operation and the target maneuvering influence,this paper suggests a guidance system model involving a novel integral sliding mode guidance law(ISMGL).The method utilizes the dynamic characteristics and the impact angle,combined with a sliding mode surface scheme that includes the desired line-ofsight angle,line-of-sight angular rate,and second-order differential of the angular line-of-sight.At the same time,the evaluation scenario considere the target maneuvering in the system as the external disturbance,and the non-homogeneous disturbance observer estimate the target maneuvering as a compensation of the guidance command.The proposed system’s stability is proven based on the Lyapunov stability criterion.The simulations reveale that ISMGL effectively intercepted large maneuvering targets and present a smaller miss-distance compared with traditional linear sliding mode guidance laws and trajectory shaping guidance laws.Furthermore,ISMGL has a more accurate impact angle and fast convergence speed.

Results Involving Partial Differential Equations and Their Solution by Certain Integral Transform

In this study,we aimto investigate certain triple integral transformand its application to a class of partial differentialequations.We discuss various properties of the new transformincluding inversion, linearity, existence, scaling andshifting, etc. Then,we derive several results enfolding partial derivatives and establish amulti-convolution theorem.Further, we apply the aforementioned transform to some classical functions and many types of partial differentialequations involving heat equations,wave equations, Laplace equations, and Poisson equations aswell.Moreover,wedraw some figures to illustrate 3-D contour plots for exact solutions of some selected examples involving differentvalues in their variables.

Wave propagation of a functionally graded plate via integral variables with a hyperbolic arcsine function

Several studies on functionally graded materials(FGMs)have been done by researchers,but few studies have dealt with the impact of the modification of the properties of materials with regard to the functional propagation of the waves in plates.This work aims to explore the effects of changing compositional characteristics and the volume fraction of the constituent of plate materials regarding the wave propagation response of thick plates of FGM.This model is based on a higher-order theory and a new displacement field with four unknowns that introduce indeterminate integral variables with a hyperbolic arcsine function.The FGM plate is assumed to consist of a mixture of metal and ceramic,and its properties change depending on the power functions of the thickness of the plate,such as linear,quadratic,cubic,and inverse quadratic.By utilizing Hamilton’s principle,general formulae of the wave propagation were obtained to establish wave modes and phase velocity curves of the wave propagation in a functionally graded plate,including the effects of changing compositional characteristics of materials.

The tangential k-Cauchy-Fueter type operator and Penrose type integral formula on the generalized complex Heisenberg group

The tangential k-Cauchy-Fueter operator and k-CF functions are counterparts of the tangential Cauchy–Riemann operator and CR functions on the Heisenberg group in the theory of several complex variables,respectively.In this paper,we introduce a Lie group that the Heisenberg group can be imbedded into and call it generalized complex Heisenberg.We investigate quaternionic analysis on the generalized complex Heisenberg.We also give the Penrose integral formula for k-CF functions and construct the tangential k-Cauchy-Fueter complex.

GKPA-联合全局与关键区域的光学-SAR中分辨率遥感影像场景分类

遥感影像场景分类是自然灾害检测和城市功能规划等实际应用的基础,因此研究遥感影像场景分类具有重要意义。基于深度学习的方法由于其强大的特征提取能力已经成为遥感影像场景分类领域最常用的方法,此类方法强烈依赖数据集的质量。现阶段场景分类领域的数据集大多为高分辨率的光学影像,易于提取有效的语义特征。在面对中分辨率场景时,影像中细节信息更匮乏,有效特征不够显著,场景分类具有更大难度,相较于高分辨率场景分类精度不够理想。在此情况下,利用其他模态的数据如合成孔径雷达(SAR)提供互补特征可以有效改善场景分类精度。考虑到以上现状,本文构建光学-SAR遥感影像场景分类数据集(OS-RSISC),基于此数据集进一步提出了一个联合全局与关键区域的感知注意力双模态场景分类框架(GKPA-RSSC)。实验结果显示GKPA-RSSC相较于对比方法具有最高的分类精度,总体精度达81.97%。光学-SAR数据与单模态数据的对比试验结果突显双模态数据的优势,进而验证了本文提出的光学-SAR场景分类数据集的重要意义。

Existence of Solutions of a Convolution Integral Equation

In this study, we prove the of existence of solutions of a convolution Volterra integral equation in the space of the Lebesgue integrable function on the set of positive real numbers and with the standard norm defined on it. An operator P was assigned to the convolution integral operator which was later expressed in terms of the superposition operator and the nonlinear operator. Given a ball Br belonging to the space L it was established that the operator P maps the ball into itself. The Hausdorff measure of noncompactness was then applied by first proving that given a set M∈ B r the set is bounded, closed, convex and nondecreasing. Finally, the Darbo fixed point theorem was applied on the measure obtained from the set E belonging to M. From this application, it was observed that the conditions for the Darbo fixed point theorem was satisfied. This indicated the presence of at least a fixed point for the integral equation which thereby implying the existence of solutions for the integral equation.

Solvability and Construction of a Solution to the Fredholm Integral Equation of the First Kind

The issues of solvability and construction of a solution of the Fredholm integral equation of the first kind are considered. It is done by immersing the original problem into solving an extremal problem in Hilbert space. Necessary and sufficient conditions for the existence of a solution are obtained. A method of constructing a solution of the Fredholm integral equation of the first kind is developed. A constructive theory of solvability and construction of a solution to a boundary value problem of a linear integrodifferential equation with a distributed delay in control, generated by the Fredholm integral equation of the first kind, has been created.

Fuzzy Henstock-Kurzweil Triple Integral on a Type 1 Quasi-Fuzzy Parallelepipedal Domain

In this article, we propose by using the Hausdorff distance Simpson’s rule for the triple integral of a fuzzy-valued function and the error bound of this method, one of the variables of which is fuzzy. In addition, thin δ-fine partitions are introduced. The integration domain is a quasi-fuzzy parallelipiped. A numerical example is presented in order to show the application and the significance of the method.