Orthogonal method

Part 2 book "Mathematical methods for physicists" includes content: The gamma function (factorial function), differential equations, sturm–liouville theory—orthogonal functions, bessel functions, legendre functions, more special functions, fourier series, integral transforms, integral equations, calculus of variations, nonlinear methods and chaos, probability.

684p muasambanhan06 01-02-2024 5 1   Download

Part 2 book "Advanced engineering mathematics" includes content: Vectors; matrices; vector cal; systems of linear differential equations; systems of nonlinear differential equationsculus; orthogonal functions and fourier series; boundary value problems in rectangular coordinates; boundary value problems in other coordinate systems; integral transform method; numerical solutions of partial differential equations; functions of a complex variable; integration in the complex plane; series and residues; conformal mappings.

438p muasambanhan06 01-02-2024 2 1   Download

Part 2 book "Advanced engineering mathematics" includes content: Systems of linear differential equations; systems of nonlinear differential equations; orthogonal functions and fourier series; boundary value problems in rectangular coordinates; boundary value problems in other coordinate systems; integral transform method; numerical solutions of partial differential equations; unctions of a complex variable; integration in the complex plane; series and residues; conformal mappings.

438p muasambanhan06 03-02-2024 6 1   Download

Part 2 book "Statistical methods in biology - Design and analysis of experiments and regression" includes content: Dealing with non orthogonality; models for a single variate: simple linear regression; checking model fit; models for several variates - multiple linear regression; models for variates and factors; incorporating structure - linear mixed models; models for curved relationships; models for non normal responses - generalized linear models; practical design and data analysis for real studies.

314p muasambanhan03 02-01-2024 5 2   Download

In this paper, we propose a method that uses the non-uniform Fast Fourier Transform (FFT) to compensate for Doppler frequency shifts in orthogonal frequency division multiplexing (OFDM) based underwater acoustic (UWA) communication systems. To estimate the Doppler frequency shift, the paper proposes using a pilot carrier frequency (PCF) that is identified by transmitting with greater power in the frequency domain compared to other subcarriers.

7p vijeff 30-11-2023 3 3   Download

Ebook All of nonparametric statistics: Part 2 presents the following chapters: Chapter 6 density estimation, chapter 7 normal means and minimax theory, chapter 8 nonparametric inference using orthogonal functions, chapter 9 wavelets and other adaptive methods, chapter 10 other topics.

139p runthenight08 12-04-2023 9 2   Download

In the present work, author combined the phase-field modeling taking into account interfacial damage with the problem of the bulk strain orthogonal decompositions by two proposed solutions. The successful prediction of the crack propagation for the inclusion-matrix structures and the multi-phases materials of X-ray computed tomography (XR-CT) images by two proposed solutions will be demonstrated in several numerical examples.

15p viargus 20-02-2023 5 1   Download

Differential scanning calorimetry was established for in-situ measurement ofthe transition temperatures of antibodies when adsorbed on hydrophobic interaction chromatography media. This method is also suitable for non-transparent media, which is an advantage over spectroscopic methods that cannot be used in many cases due to large background signals.

7p viginny 23-12-2022 5 3   Download

In this paper, we present a reduced-order modeling approach to study the Molten Salt Fast Reactor (MSFR). Our approach is nonintrusive and based on the proper orthogonal decomposition method. We include adaptivity in selecting the sampling points both in time and parameter space. Steady-state and transient analysis were both performed using the developed models.

14p vironald 15-12-2022 11 4   Download

In this paper, we investigate the nonlinear and dispersion compensation efficiency in OFDM-WDM system using an advanced optical back propagation (OBP) approach based on split-step Fourier method.

7p viaespa2711 31-07-2021 28 5   Download

Currently, one of the most powerful side channel attacks (SCA) is profiled attack. Machine learning algorithms, for example support vector machine (SVM), are currently used to improve the effectiveness of the attack. One issue of using SVM-based profiled attack is extracting points of interest (POIs), or features from power traces. Our work proposes a novel method for POIs selection of power traces based on the combining variational mode decomposition (VMD) and Gram-Schmidt orthogonalization (GSO).

14p chauchaungayxua12 11-05-2021 21 4   Download

An Interior-point algorithm with a line-search globalization is proposed for solving the general nonlinear programming problem. At each iteration, the search direction is obtained as a resultant of two orthogonal vectors. They are obtained by solving two square linear systems. An upper-triangular linear system is solved to obtain the Lagrange multiplier vector. The three systems that must be solved each iteration are reduced systems obtained using the projected Hessian technique. This fits well for large-scale problems.

16p nguaconbaynhay11 07-04-2021 14 1   Download

The search for optimum design variables is conducted by using a recent heuristic method, namely Grey Wolf Optimizer. During the heuristic search, direct heat conduction problem has to be solved several times. The set of heat transfer parameters that lead to smallest error rate between computed temperature field and reference one is the optimum output of the inverse problem. In order to accelerate the process, the model order reduction technique Proper-Orthogonal-Decomposition (POD) is used.

14p nguaconbaynhay11 07-04-2021 14 3   Download

In this paper, the technique is applied to analyze transient heat transfer problems. In order increase time efficiency, a modelreduction technique, namely the proper orthogonal decomposition (POD), is employed. The idea is that a given large-size problem is projected into a small-size one which can be solved faster but still maintain the required accuracy.

10p larachdumlanat127 02-01-2021 8 2   Download

This study evaluates the influence of three factors on the composition of manufacturing constituent materials including asphalt content factor (L), fiber content factor (X) and mineral filler content factor (K) to the basic performances of SMA mixture; and introduce methodology of components design of SMA mixture used in pavement construction.

0p tradaviahe11 04-01-2021 11 3   Download

Individualized and accurate implantation of a tibial prosthesis during total knee arthroplasty (TKA) can assist in uniformly distributing the load and reducing the polyethylene wear to obtain a long-term prosthetic survival rate, but individualized and accurate implantation of a tibial prosthesis during TKA remains challenging.

11p vipalau2711 30-12-2020 8 1   Download

This research focus on to presents of the MQL parameters optimization approach in which the multi-response outputs based on Taguchi's L9 orthogonal array method is used. During the turning AISI-1045 steel, the cutting temperature, the maximum of tool wear, and the surface roughness were measured. The MQL parameters which are ratio of soluble lubricant and water, pressure of spray head, flow volume of emulsion was simultaneously optimized by taking the multi-response outputs using Taguchi based grey relational analysis (GRA) into consideration.

11p trinhthamhodang9 04-12-2020 19 3   Download

For many practical hypothesis testing (H-T) applications, the data are correlated and/or with heterogeneous variance structure. The regression t-test for weighted linear mixed-effects regression (LMER) is a legitimate choice because it accounts for complex covariance structure.

14p vijisoo2711 27-10-2020 10 1   Download

In this work, one of the methods deploying encryption to cipher data is represented. The primary object of this project is applying Advanced Encryption Standard (AES) in communications based Orthogonal Frequency Division Multiplexing (OFDM). This article discusses the security of the method encrypting directly QAM symbols instead of input bit-stream.

8p tamynhan6 14-09-2020 33 3   Download

Orthogonal moments are used to represent digital images with minimum redundancy. Orthogonal moments with fractional-orders show better capabilities in digital image analysis than integer-order moments. In this work, the authors present new fractional-order shifted Gegenbauer polynomials. These new polynomials are used to define a novel set of orthogonal fractional-order shifted Gegenbauer moments (FrSGMs). The proposed method is applied in gray-scale image analysis and recognition.

10p dayhoctainha 10-09-2020 12 0   Download