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10.1088/1742-6596/1864/1/012116

## We use Dynamic Regressor Extension and Mixing method to replace the n-th order regression model with scalar regressions. 我们使用动态回归器扩展和混合方法将 n 阶回归模型替换为标量回归。

The multi-harmonic signal frequencies estimation in finite time

## Conditions under which the n-th order sensor output can be used to control k-DoF serial robot arms are formally studied in this work. 在这项工作中正式研究了n阶传感器输出可用于控制k-DoF串行机械臂的条件。

n -th Order Sensor Output to Control k -DoF Serial Robot Arms

10.1007/S40840-021-01101-2

## In this paper, we prove that if a nonconstant finite order meromorphic function f and its n-th order difference operator $$\Delta ^n_{\eta }f$$ share $$a_1,$$ $$a_2,$$ $$a_3$$ CM, where n is a positive integer, $$\eta \ne 0$$ is a finite complex value, and $$a_1,$$ $$a_2,$$ $$a_3$$ are three distinct finite complex values, then $$f(z)=\Delta ^n_{\eta }f(z)$$ for each $$z\in \mathbb {C}. 在本文中，我们证明了如果一个非常数有限阶亚纯函数 f 及其 n 阶差分算子$$\Delta ^n_{\eta }f$$分享$$a_1,a_2,a_3$$CM，其中 n 为正整数，$$\eta \ne 0$$是一个有限的复数值，$$a_1,a_2,a_3$$是三个不同的有限复数值，则$$f(z)=\Delta ^n_{\eta }f(z)$$对于每个$$z\in \mathbb {C}。

Results on a Conjecture of Chen and Yi

10.1016/J.TCA.2021.179016

## These polymers, both individually and mixed with the catalyst, are often characterized by the non-monotonic conversion function which cannot be approximated by the n-th order reaction model. 这些聚合物，无论是单独的还是与催化剂混合的，通常都以非单调转换函数为特征，这不能通过 n 级反应模型来近似。

Thermocatalytic degradation of common polymers: A microscale combustion calorimetry study

## We prove limit theorems for the weighted quadratic variation of trifractional Brownian motion and n-th order fractional Brownian motion. 我们证明了三分数布朗运动和n阶分数布朗运动的加权二次变分的极限定理。

A Gladyshev theorem for trifractional Brownian motion and n-th order fractional Brownian motion

10.1109/ACCESS.2021.3051986

## In the non-model transformation stage, a transition probability correction function was constructed using the difference of the n-th order based on model probability to suppress the effect of noise on the estimation accuracy of the algorithm. 在非模型变换阶段，利用基于模型概率的n阶差分构造转移概率校正函数，以抑制噪声对算法估计精度的影响。

Multi-Fault Diagnosis of Interacting Multiple Model Batteries Based on Low Inertia Noise Reduction

10.1088/1742-6596/1889/2/022031

## For this reason, it is relevant to study the possibility of using the central moments of the n-th order when constructing a statistical series. 出于这个原因，研究在构建统计序列时使用 n 阶中心矩的可能性是相关的。

Statistical series for the ordered array approximation of random variable

## We obtain closed-form solutions in a symbolic form of problems with the general n-th order differential operator, as well as the composition of linear operators. 我们使用一般 n 阶微分算子以及线性算子的组合以符号形式获得封闭形式的解决方案。

Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions

10.1016/J.IJLEO.2021.167453

## We show theoretically that an astigmatic transformation of an edge dislocation (a straight line of zero intensity) of the n-th order forms n elliptical optical vortices (screw dislocations) with a unit topological charge at twice the focal distance from a cylindrical lens. 我们从理论上证明，n 阶边缘位错（强度为零的直线）的像散变换在距柱面透镜焦距的两倍处形成具有单位拓扑电荷的 n 个椭圆光学涡旋（螺旋位错）。

Converting an nth-order edge dislocation to a set of optical vortices

10.3390/molecules26061522

## In this review, we establish the usefulness of ab initio tools within the framework of the N-th order muffin orbital (NMTO)-downfolding technique in the identification of a spin model of insulating oxides with small spins. 在这篇综述中，我们在 N 阶松饼轨道 (NMTO) 下折叠技术的框架内确定了从头算工具在识别具有小自旋的绝缘氧化物的自旋模型中的有用性。

The Fascinating World of Low-Dimensional Quantum Spin Systems: Ab Initio Modeling

10.21203/RS.3.RS-565284/V1

## Since most of the existing key generation techniques are focusing on 3G and 4G networks, new key generation methods that can be generalized to n-th order polynomials are necessary to suit the security requirements of 5G networks which is smart by using rules from Artificial Intelligence. 由于大多数现有的密钥生成技术都集中在 3G 和 4G 网络上，因此需要可以推广到 n 阶多项式的新密钥生成方法，以适应 5G 网络的安全要求，该网络使用人工智能规则进行智能处理。

Symmetric Key and Polynomial Based Key Generation Mechanism for Secured Data Communications in 5G Networks

## The first step (n-th order reaction, referred to Fn) is attributed to the random scission of the main chain in PS (polystyrene) solid support, where polymer radicals were formed. 第一步（n 级反应，称为 Fn）归因于 PS（聚苯乙烯）固体载体中主链的随机断裂，其中形成了聚合物自由基。

Kinetic analysis and reaction mechanism of p-alkoxybenzyl alcohol ([4-(hydroxymethyl)phenoxymethyl]polystyrene) resin pyrolysis: Revealing new information on thermal stability

10.23919/ACC50511.2021.9483023

## The regret-optimal controller is the sum of the classical H2 control law and an n-th order controller (where n is the state dimension of the plant) obtained from the Nehari problem. 遗憾最优控制器是经典 H2 控制律和从 Nehari 问题获得的 n 阶控制器（其中 n 是工厂的状态维度）的总和。

Regret-Optimal Controller for the Full-Information Problem

10.1109/ICRA48506.2021.9561879

## Specifically, the backstepping scheme is adopted as the main design framework, by which the n-th order nonlinear system is divided into n command-cascaded first order subsystems. 具体而言，采用backstepping方案作为主要设计框架，将n阶非线性系统划分为n个命令级联的一阶子系统。

Command Filtered Tracking Control for High-order Systems with Limited Transmission Bandwidth

## This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of n-th order boundary value problems with sign-regular kernels subject to two-point boundary conditions. 本文提供了一种约束和计算n阶边值问题的特征值和特征函数的方法。

Accurate Estimations of Any Eigenpairs of N-th Order Linear Boundary Value Problems

10.1016/j.ejor.2020.07.057

## We also give a partial solution to the problem posed by Mesiar and Stupňanova to find an algorithm for computing the pseudo-decomposition integral of n-th order based on operations $\oplus=+$ and $\odot=\wedge,$ which will be useful in multi-criteria decision problems. 我们还给出了 Mesiar 和 Stupňanova 提出的问题的部分解决方案，以找到一种基于操作 $\oplus=+$ 和 $\odot=\wedge,$ 计算 n 阶伪分解积分的算法，它将在多标准决策问题中很有用。

New monotone measure-based integrals inspired by scientific impact problem

## In this paper, we obtain the explicit expression of the Green’s function related to a general n-th order differential equation coupled to non-local linear boundary conditions. 在本文中，我们获得了与耦合到非局部线性边界条件的一般 n 阶微分方程相关的格林函数的显式表达式。

Green’s Function Related to a n-th Order Linear Differential Equation Coupled to Arbitrary Linear Non-Local Boundary Conditions

10.1016/j.laa.2020.12.017

## For a linear time-invariant control system defined by a linear differential equation of the n-th order with a multidimensional state, input and output, we set and study the problem of arbitrary matrix eigenvalue spectrum assignment by linear static output feedback. 对于由n阶线性微分方程定义的具有多维状态、输入和输出的线性时不变控制系统，我们设置并研究了线性静态输出反馈的任意矩阵特征值谱分配问题。

Matrix eigenvalue spectrum assignment for linear control systems by static output feedback

10.1007/s10570-021-04060-w

## DSC and TG-FTIR results revealed that CuO and Al/CuO play crucial roles in accelerating the dissociation of –O–NO2 bond and the coacervate phase to change the pyrolysis mechanism of NC from an autocatalytic reaction to a modified n-th order reaction model. DSC和TG-FTIR结果表明，CuO和Al/CuO在加速-O-NO2键和凝聚相的解离中起着至关重要的作用，从而将NC的热解机理从自催化反应转变为改进的n级反应模型.

Influence of tailored CuO and Al/CuO nanothermites on the thermocatalytic degradation of nitrocellulose and combustion performance of AP/HTPB composite propellant

10.1088/1742-6596/1905/1/012007

## The root-locus technique is used to study the range of the leading coefficient for which a dynamic property of an (n+1)-th order polynomial remain close to that of the n-th order polynomial. 根轨迹技术用于研究 (n+1) 阶多项式的动态特性保持接近 n 阶多项式的动态特性的前导系数的范围。

Effects of Changes in the Leading Coefficient of Fifth-Order Manabe’s Polynomial

## In particular, more or less we have improved and extended two results of QiYang [Meromorphic functions that share values with their shifts or their n-th order differences, Analysis Math. 特别是，我们或多或少地改进和扩展了 QiYang [与位移或 n 阶差共享值的亚纯函数，分析数学。

A note on power of meromorphic function and its shift operator of certain hyper-order sharing one small function and a value

10.23919/Eusipco47968.2020.9287389

## CP, Candecomp or Parafac decomposition) of N-th order tensors that can be very large. CP、Candecomp 或 Parafac 分解）的 N 阶张量，可能非常大。

A parallel strategy for an evolutionary stochastic algorithm: application to the CP decomposition of nonnegative N-th order tensors

## The dynamics of elastic plane waveguides is studied on the basis of the extended formulation of the plate theory of N th order. 在N阶板理论的扩展公式的基础上研究了弹性平面波导的动力学。

Use of the higher-order plate theory of I. N. Vekua type in problems of dynamics of heterogeneous plane waveguides