In this paper, a new miniaturized
wide-pass-band filter at U band based on composite right/left- handed
transmission line (CRLH TL) is implemented. The CRLH TL contributed to a
broadband filter is a balanced structure with a small size of only 1.428 mm*0.5530
mm. The frequency characteristics are simulated and the results show that the 3
dB band width of the proposed filter is about 13.5 GHz from 45.8 GHz to 59.3
GHz. The insertion loss is quite flat through the pass-band and the return loss
is relatively low.

With the rapid development of information technology and the needs of
economic society, artificial intelligence has ushered in the golden age. The
application of artificial intelligence technology in the accounting field is an
inevitable trend, which will bring tremendous changes and development to
the accounting industry. This paper takes the application of artificial intelligence
in the accounting industry as the research object, analyzes the impact
of artificial intelligence on the development of accounting industry, and puts
forward relevant suggestions for its existing problems.

Abstract:
Numerical integration formulas in $n$-dimensional Euclidean space of degree three are discussed. For the integrals with permutation symmetry we present a method to construct its third-degree integration formulas with $2n$ real points. We present a decomposition method and only need to deal with $n$ one-dimensional moment problems independently.

Abstract:
In this paper we study the singularity of multivariate Hermite interpolation of type total degree. We present a method to judge the singularity of the interpolation scheme considered and by the method to be developed, we show that all Hermite interpolation of type total degree on $m=d+k$ points in $\R^d$ is singular if $d\geq 2k$. And then we solve the Hermite interpolation problem on $m\leq d+3$ nodes completely. Precisely, all Hermite interpolations of type total degree on $m\leq d+1$ points with $d\geq 2$ are singular; for $m=d+2$ and $m=d+3$, only three cases and one case can produce regular Hermite interpolation schemes, respectively. Besides, we also present a method to compute the interpolation space for Hermite interpolation of type total degree.

Abstract:
This paper will devote to construct a family of fifth degree cubature formulae for $n$-cube with symmetric measure and $n$-dimensional spherically symmetrical region. The formula for $n$-cube contains at most $n^2+5n+3$ points and for $n$-dimensional spherically symmetrical region contains only $n^2+3n+3$ points. Moreover, the numbers can be reduced to $n^2+3n+1$ and $n^2+n+1$ if $n=7$ respectively, the later of which is minimal.

Magnetorheological Fluid (MRF), as an advanced and smart material which was controlled
by magnetic field, was a kind of stable suspension in which magnetic particle dissolved
in base fluid. The yield stress, one of main performance parameters of MRF, was
the demarcation point between liquid and solid. At present, the yield stress calculation
model did not have a uniform standard. The research on yield stress model was significant
to the research on MRF. First, the research was based on the MRF characteristic
and the research status of MRF sheer yield stress; second the classic dipole model,
local field dipole model, polarized pellet model, continuous models on the average
had been calculated and compared. The classic dipole model and local field dipole
model had a well ability to describe the yield stress of MRF.

Abstract:
To improve the accuracy of illumination estimation while maintaining a relative fast execution speed, a novel learning-based color constancy using color edge moments and regularized regression in an anchored neighborhood is proposed. First, scene images are represented by the color edge moments of various orders. Then, an iterative regression with a squared Frobenius norm(F-norm)regularizer is introduced to learn the mapping between the edge moments and illuminants in the neighborhood of the anchored sample. Illumination estimation for the test image finally becomes the nearest anchored point search followed by a matrix multiplication using the associated mapping matrix which can be precalculated and stored. Experiments on two standard image datasets show that the proposed approach significantly outperforms the state-of-the-art algorithms with a performance increase of at least 10.35% and 7.44% with regard to median angular error.

Abstract:
A new nonconforming rectangle element with cubic convergence for the energy norm is introduced. The degrees of freedom (DOFs) are defined by the twelve values at the three Gauss points on each of the four edges. Due to the existence of one linear relation among the above DOFs, it turns out the DOFs are eleven. The nonconforming element consists of $P_2\oplus \Span\{x^3y-xy^3\}$. We count the corresponding dimension for Dirichlet and Neumann boundary value problems of second-order elliptic problems. We also present the optimal error estimates in both broken energy and $L_2(\O)$ norms. Finally, numerical examples match our theoretical results very well.

Abstract:
We construct a topological Chern-Simons sigma model on a Riemannian three-manifold M with gauge group G whose hyperkahler target space X is equipped with a G-action. Via a perturbative computation of its partition function, we obtain new topological invariants of M that define new weight systems which are characterized by both Lie algebra structure and hyperkahler geometry. In canonically quantizing the sigma model, we find that the partition function on certain M can be expressed in terms of Chern-Simons knot invariants of M and the intersection number of certain G-equivariant cycles in the moduli space of G-covariant maps from M to X. We also construct supersymmetric Wilson loop operators, and via a perturbative computation of their expectation value, we obtain new knot invariants of M that define new knot weight systems which are also characterized by both Lie algebra structure and hyperkahler geometry.

Objective: This paper mainly determined the action modes of extract of Aloe vera L. against Tetranychus cinnabarinus Boisduval. Methods: The different action modes, contact action, repellent, fumigant, and oviposition inhibition property of the acetone extract of Aloe vera L. leaf against the carmine spider mite Tetranychus cinnabaribus (Boisduval) (Acarina: Tetranychidae) were investigated at 26°C ± 1°C, 75% - 80% relative humidity, and 14:10 light: day cycle in the laboratory. Results: Based on the established toxicity regression line of the Aloe vera L. acetone extract against female adult mites, the median lethal concentrations (LC_{50}) were 0.836 and 0.167 mg/mL for 48 and 72 h, respectively. With processing time increased, the contact acaricidal activity increased and the repellent activity gradually decreased. The main modes of action of the extract against female adult mites were contact and repellent, and preferable effects were observed on adult mites. These results indicate that A. vera L. extract contains acaricidal and repellent bioactive components that may be useful in future control of the phytophagous mites.