Kind Of Analytic Technique Research Articles

Recognition of the storage life of mitten crab by a machine olfactory system with deep learning

AbstractIn recent years, research on the qualitative analysis of aquatic product using ultrasonic or biological impedance has received increasing attention. Unfortunately, aquatic product safety incidents occur now and then, thus new kinds of analytical techniques that are fast, nondestructive, and simple to operate would be advantageous. This article addressed a machine olfactory system for recognition of the storage life of a whole living mitten crab. A type of deep learning algorithm, namely stacked denoising auto‐encoders algorithm (SdA), was applied to extract effective features of the machine olfactory system sensors' responses. The traditional feature extraction methods such as principal component analysis and linear discriminant analysis were used for the purposes of comparison. Then the support vector machine (SVM) classifier was implemented for further qualitative classification. In addition, the crabs were analyzed for total volatile basic nitrogen and total viable counts during storage process. Validation experiments showed that the highest recognition rate (96.67%) was achieved by using SdA with SVM. This study may present a promising instruction for the storage life recognition of the living crab.Practical ApplicationEvaluation of the freshness of mitten crab is of considerable importance to guarantee mitten crab quality. However, to our best knowledge, few reports on the development of an electronic‐nose for nondestructive evaluation of the quality of whole living crab are available. A machine olfactory system for recognition of the storage life of a whole living mitten crab was present in this study. Validation experiments showed the highest recognition rate based on the system. In summary, the metal‐semiconductor sensor‐based machine olfactory system presents some advantages including fast detecting, repeatability, and nondestructive. In the future, with the improvement of sensor performance and development of pattern recognition, it will be a favorable weapon for protecting the interests of consumers in aquatic market.

Solution of the Thomas–Fermi equation with a convergent approach

The explicit analytic solution of the Thomas–Fermi equation thorough a new kind of analytic technique, namely the homotopy analysis method, was employed by Liao [1]. However, the base functions and the auxiliary linear differential operator chosen were such that the convergence to the exact solution was fairly slow. New base functions and auxiliary linear operator to form a better homotopy are the main concern of the present paper. Optimum convergence control parameter concept is used together with a mathematical proof of the convergence.

Application of Hes energy balance method for nonlinear vibration of thin circular sector cylinder

This paper deals with application of a new kind of analytical technique for a non-linear problem called the He’s Energy Balance Method (EBM). This methodology has been utilized to achieve approximate solutions for nonlinear free vibration of conservative thick circular sector slabs. In Energy Balance Method, contrary to the conventional methods, only one iteration leads to high accuracy of solutions. These solutions do not only have high degree of accuracy, but are also uniformly valid in the whole solution domain. EBM operates very well in the whole range of the parameters involved. Excellent agreement of the approximate frequencies and periodic solutions with the exact ones could be established. Some patterns are given to illustrate the effectiveness and convenience of the methodology. It has been indicated that the numerical results of other methods have same conclusion; while EBM is much easier, more convenient and more efficient than other approaches. The Energy Balance Method is a novel method which alleviates drawbacks of the traditional numerical techniques. Key words: Thin circular sector cylinder, nonlinear vibration, energy balance method.

APPLICATION OF EXP-FUNCTION METHOD TO REDUCED OSTROVSKY EQUATION AND KURAMOTO-SIVASHINSKY EQUATION

In this paper, a kind of analytical technique, called Exp-Function method is implemented to find the solitary wave solution of the Kuramoto-Sivashinsky equation and some of the most useful equations in physics, the Camassa-Holm equation and the reduced Ostrovsky equation (ROE). This method can be used as an alternative to obtain analytic and approximate solutions of different types of fractional differential equations applied in engineering mathematics. Some numerical examples are presented to illustrate the efficiency and reliability of the Exp-Function method. It is predicted that Exp-Function method can be found widely applicable in engineering.

Analytical solution of magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching surface

A new kind of analytic technique, namely the homotopy analysis method (HAM), is employed to give an explicit analytical solution of the steady two-dimensional stagnation-point flow of an electrically conducting power-law fluid over a stretching surface when the surface is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. A uniform transverse magnetic field is applied normal to the surface. An explicit analytical solution is given by recursive formulae for the first-order power-law (Newtonian) fluid when the ratio of free stream velocity and stretching velocity is not equal to unity. For second and real order power-law fluids, an analytical approach is proposed for magnetic field parameter in a quite large range. All of our analytical results agree well with numerical results. The results obtained by HAM suggest that the solution of the problem under consideration converges.

Ancient metallurgical traditions and connections around the caput Adriae

In the last decade several archaeological projects concerning metallurgical tradition and techniques, were carried out on metal finds from various sites around the Northern Adriatic and in the Eastern Alps. The pieces, made of different metals, are dated to various periods, between the Late Bronze Age and Late Antiquity. The results of different kinds of analytical techniques, applied to several hundreds of archaeological metal artefacts from this area, are presented and evaluated in the paper. The different metallurgical techniques and traditions, identified during the researches are illustrated, compared and interpreted. An overview of the available data and of the general trends of ancient metallurgy in this broader area is attempted.

An approximate solution treatment for non-linear problems

In this paper, we study one-simple, typical non-linear equation to describe a kind of analytical technique for non-linear problems. This technique is based on both homotopy in topology and the Maclaurin series. In contrast to perturbation techniques, the homotopy technique does not require small or large parameters. The results show that the homotopy technique can give much better approximation than given by perturbation techniques. In addition the homotopy technique can be used to obtain formula uniformly valid for both small and large parameters in non-linear problems. It is clear that the homotopy technique is suitable for strongly non-linear problems.

An explicit analytic solution to the Thomas–Fermi equation

A new kind of analytic technique, namely the homotopy analysis method, is employed to give an explicit analytic solution of the Thomas–Fermi equation and the related recurrence formulae of constant coefficients. This solution can be regarded as the definition of the exact solution of the Thomas–Fermi equation.

An analytic approximation of the drag coefficient for the viscous flow past a sphere

We give an analytic solution at the 10th order of approximation for the steady-state laminar viscous flows past a sphere in a uniform stream governed by the exact, fully non-linear Navier–Stokes equations. A new kind of analytic technique, namely the homotopy analysis method, is applied, by means of which Whitehead's paradox can be easily avoided and reasonably explained. Different from all previous perturbation approximations, our analytic approximations are valid in the whole field of flow, because we use the same approximations to express the flows near and far from the sphere. Our drag coefficient formula at the 10th order of approximation agrees better with experimental data in a region of Reynolds number R d <30, which is considerably larger than that ( R d <5) of all previous theoretical ones.

A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate

We apply a new kind of analytic technique, namely the homotopy analysis method (HAM), to give an explicit, totally analytic, uniformly valid solution of the two-dimensional laminar viscous flow over a semi-infinite flat plate governed by f‴(η)+αf(η)f″(η)+β[1−f′2(η)]=0 under the boundary conditions f(0)=f′(0)=0, f′(+∞)=1. This analytic solution is uniformly valid in the whole region 0[les ]η&lt;+∞. For Blasius' (1908) flow (α=1/2, β=0), this solution converges to Howarth's (1938) numerical result and gives a purely analytic value f″(0)=0.332057. For the Falkner–Skan (1931) flow (α=1), it gives the same family of solutions as Hartree's (1937) numerical results and a related analytic formula for f″(0) when 2[ges ]β[ges ]0. Also, this analytic solution proves that when −0.1988[les ]β0 Hartree's (1937) family of solutions indeed possess the property that f′→1 exponentially as η→+∞. This verifies the validity of the homotopy analysis method and shows the potential possibility of applying it to some unsolved viscous flow problems in fluid mechanics.

Homotopy analysis method: A new analytical technique for nonlinear problems

In this paper, the basic ideas of a new kind of analytical technique, namely the Homotopy Analysis Method (HAM), are briefly described. Different from perturbation techniques, the HAM does not depend on whether or not there exist small parameters in nonlinear equations under consideration. Therefore, it provides us with a powerful tool to analyse strongly nonlinear problems. A simple but typical example is used to illustrate the validity and the great potential of the HAM. Moreover, a pure mathematical theorem, namely the General Taylor Theorem, is given in appendix, which provides us with some rational knowledge for the validity of this new analytical technique.