bluuebunny/crossref_metadata_2025_split huggingface dataset:
Distillability Problem of 4×4 Monomial Matrices
Authors: Wang Yijin , Zhang Ao , Zhang Hong 
Published: December 2022

Abstract
It is a fundamental problem in quantum information whether a particular quantum state of a composite system is entangled. It has enormous potential in quantum error correction, quantum cryptography, and quantum teleportation applications. This problem can be transferred in the form of a mathematical conjecture called the distillation conjecture. In the first section of this paper, relevant physical and mathematical information is presented, including basic linear algebra knowledge, the statement, and concrete applications of multiple mathematical knowledge like conjugate, eigenvalue, and singular value. Then, we introduce the distillation conjecture in a mathematical version for a more precise mathematical analysis. In an effort to make more significant headway in proving the conjecture, we selected some theories and findings relating to the Kronecker product, Kronecker sum, eigenvalue, and singular value, then evaluated and grouped them. In addition, we provided multiple proofs of the conjecture under varying conditions and made numerous attempts and hypotheses regarding how to establish the conjecture.
Simulation Calculation of New Steel Tube Structure based on Vortex-Induced Vibration Control Technology of Steel Tube Tower
Authors: Zhou Anqi , Zhang Xueli , Xiong Xiaoyu , Zhu Jiayi , Xia Dongsheng 
Published: December 2022

Abstract
This paper proposes a new three-tube structure to replace the original steel tube. The vortex-induced vibration of the three-tube structure is simulated by two-way fluid-structure coupling. With the control variable method, the simulation calculation of multiple groups of three-pipe structures under uniform incoming flow at different wind speeds is carried out. By analyzing the vortex kinetic energy diagram and displacement diagram, the best outer diameter and tube center distance of the three-tube structure to suppress vortex-induced vibration in the leeward direction are obtained. By summarizing the situation of a symmetrical vortex, the conditions of the symmetrical vortex are understood. Then, by comparing the amplitude of the vortex-induced vibration of the original structure with that of the three-tube structure, the three-tube structure is further optimized to obtain a new structural design that can effectively control vortex-induced vibration.
A New Flux Splitting Method and Central Difference Scheme for Magnetohydrodynamics
Authors: Zhang Shiyuan , Yang Wubing 
Published: December 2022

Abstract
In this work, we describe a new flux splitting method for an ideal MHD in the 3D curvilinear coordinate system. The method is designed to create a dissipation term by zero flux term of flux split and create a new central difference scheme for ideal MHD. Numerical tests are performed to demonstrate the accuracy and capability of the new scheme to capture complex waves of ideal MHD.
Mechanical Performance Analysis of Cable-Girder Anchorage Zone Structure Based on Hybrid Element Method
Authors: Lin Jinbiao , Huang Muyun 
Published: December 2022

Abstract
The finite element model of a partially cable-stayed bridge with a central single cable plane corrugated steel web composite box girder is established by the hybrid element method combined with the solid finite element model and spatial grid model, and the mechanical properties of cable-girder anchorage zone structure under cable forces are calculated and analyzed in this paper. The refined model of the steel anchor box structure was established, and the stress distribution of each component of the steel anchor box under cable force was calculated and analyzed. By calculating the resultant force of the cable direction in the junction area of each component, the ratio of the cable force transmitted by each component of the steel anchor box is obtained. The results show that the stress distribution of each component of the steel anchor box is uniform under the action of cable force, and the stress level of the shear plate and the steel guide beam is higher. It is an important component to transfer the cable force and should be the focus and research object in the cable beam anchorage structure.
Creep Effect on Chemo-Mechanical Coupling Oxidation of Thermal Barrier Coatings
Authors: Shen Qiang , Wu Leigang 
Published: December 2022

Abstract
In this paper, a chemo-mechanical coupling model considering the creep effect during high-temperature oxidation is developed based on the diffusion-reaction equation. A sinusoidal curve model is developed by the finite element method to simulate the thickness and stress distribution of thermally grown oxide (TGO). The thickness and stress distribution of the TGO in the thermal barrier coating was investigated by changing the coupling effect and creep effect conditions of the model. The results show that with the increase of the coupling coefficient, the thickness of TGO gradually becomes smaller. In the late stage of oxidation, this effect diminishes, and the compressive stress located in the BC/TGO layer groove keeps decreasing, while the tensile stress located in the TC layer groove is the opposite. As the creep rate increases, the maximum tensile/compressive stress in the Y-direction within the thermal insulation coating slowly decreases, and the oxidation rate of the oxide layer moderately decreases. This study is important to find the corresponding solutions and preventive measures for the failure of the thermal barrier coating.
Stability Analysis of Third-order Magnetic Gradient Tensor
Authors: Wang Bo , Ren Guoquan , Li Zhining , Cai Ziming 
Published: December 2022

Abstract
So far, magnetic gradient tensor has been studied in the field of exploration. The third-order magnetic gradient tensor(MGT) can obtain more target information. But its stability is poor. It will lead to a large error under the condition of noise. Aiming at the above shortcomings, this paper puts forward an improved method. The approximate calculation formula of the third-order MGT is analyzed and improved. It can be got from the simulation that the proposed method is more excellent.
Neighbor Sum Distinguishing Edge (Total) Coloring of Generalized Corona Product
Authors: Zhong Chuang , Tian Shuangliang 
Published: December 2022

Abstract
The coloring theory of graphs is an important part of graph theory research. The key problem of the coloring theory of graphs is to determine the coloring number of each kind of coloring. Traditional coloring concepts mainly include proper vertex coloring, proper edge coloring, proper total coloring, and so on. In recent years, scholars at home and abroad have put forward some new coloring concepts, such as neighbor vertex distinguishing edge (total) coloring, and neighbor sum distinguishing edge (total) coloring, based on traditional coloring concepts and by adding other constraints. Some valuable results have been obtained, which further enrich the theory of graph coloring.
For a proper [k]-edge coloring of a graph G, if for any adjacent vertex has a different sum of colors, then the coloring is a neighbor sum distinguishing [k]-edge coloring of G. For a proper [k]-total coloring of a graph G, if for any adjacent vertex has a different sum of colors, then the coloring is a neighbor sum distinguishing [k]-total coloring of G . In this paper, the coloring method and coloring index are determined by the process of induction and deduction and the construction of the dyeing method, and then the rationality of the method is verified by inverse proof and mathematical induction.
If G is a simple graph with the order n ≥ 5 , and hn
= (Hi
)
i∈{1,2,…,n} is a sequence of disjoint simple graphs, where every Hi
is a simple graph with the order m ≥ 7 . In this paper, we study the neighbor sum distinguishing edge(total) coloring of the generalized corona product G○hn
of G and hn
. The results are as follows:
(1) If G is a path with order n , hn
= (Hi
)
i∈{1,2,…,n} is an alternating sequence of path and cycle with order m . If n is odd, we have

χ
Σ
′

(

G
∘

h
n

)

=
m
+
3

(2) If G is a path with order n , hn
= (Hi
)
i∈{1,2,…,n} is an alternating sequence of path and cycle with order m . If n is odd, we have

χ
Σ

′
′

(

G
∘

h
n

)

=
m
+
4

Due to the late development of neighbor sum distinguishing edge (total) coloring of graphs, the related research results are relatively few. By studying the operation graph of a basic simple graph, we can provide the research basis and reference idea for the corresponding coloring of the general graph class. Therefore, it is of theoretical value to study the neighbor sum distinguishing edge (total) coloring problem of generalized corona products of graphs.
A Pattern of Prime Numbers and its Application in Primality Testing
Authors: Hang Peng , Sun Zhongquan , Wang Shanqin 
Published: December 2022

Abstract
Primes are so unique and elegant that each of them has only two factors (1 and itself), and natural numbers with this property are sparse. In this study, we present a pattern of prime numbers by proving that C

2x+3y=p
∈Q and C

2x+3y=c
∈G, where p denotes the prime numbers and c denotes the composite numbers. x and y count the quantity of number 2 and number 3, respectively. C

2x+3y=p
represents the channel of the function 2x + 3y = p. A channel is a trace of the function 2x + 3y = n in the first quadrant of the plane rectangular coordinate system. C

2x+3y=c
is similar. Q and G are two sets with different types of channels. The proposed pattern of prime numbers also provides a way for primality testing, which is of significance to public-key cryptography.
Propagation Pulses in Optical Fiber Modeled by the Kudryashov Equation
Authors: Li Chan , Wang Chunyan 
Published: December 2022

Abstract
Kudryashov equation describes the propagation pulses in an optical fiber. By using the trial equation method and complete discrimination system for the polynomial method, the classification of all envelope patterns of the Kudryashov equation is obtained, including solitary wave solutions, double periodic solutions, triangular function solutions, and rational function solutions. In particular, the conditions for the existence of each mode are given, and images of the modes are obtained according to the conditions.
Solving a Class of Nonlinear Evolution Equations Using Jacobi Elliptic Functions
Authors: Wang Bo , Jin Guiqin 
Published: December 2022

Abstract
Nonlinear evolution equations play a crucial role in many applied scientific disciplines. Finding the exact solutions to such equations can contribute to a wide variety of applied disciplines. To be able to calculate exact periodic solutions of nonlinear evolution equations, this paper discusses the expansion of the Jacobi elliptic function and finds the proper expansion of the function. Additionally, by analyzing the applicable conditions of the function according to its specific properties, we find the exact periodic solutions to nonlinear evolution equations with constant coefficients and variable coefficients that satisfy the applicable conditions of the Jacobi elliptic function.
Envelope Number of Irrational Number
Authors: Chen Gen-Fang 
Published: December 2022

Abstract
This paper proposes the concept of envelope numbers for irrational numbers, divides envelope numbers into upper envelope numbers and lower envelope numbers, and proves several important properties of such numbers. Firstly, the paper gives the uniform distribution theorem of irrational integer multiples. By proving several lemmas of upper envelope numbers and lower envelope numbers, it is proved that there are countless upper envelope numbers and lower envelope numbers of irrational numbers. At the same time, it is proved that the sum of the maximum upper envelope number and lower envelope number that does not exceed a given positive integer is also an envelope number.
An Involution about Fibonacci Numbers
Authors: Liang Dengxing , Yang Harold Ruilong , Zhang Yanjun 
Published: December 2022

Abstract
In “Proofs That Really Count” A. T. Benjamin and J. J. Quinn provided several identities involving Fibonacci numbers and left some unproven ones. They posed questions to find the combinatorial proofs of these identities. Among these identities, the following one caught our attention because of concerning parity:

∑

k
=
0

n

(
−
1
)

k

f
k

=

1
+

(
−
1
)

n

f

n
−
1

.

.
Krzykowski found that the coverings in an area with dimension 2 × n can be enumerated by Fibonacci numbers. In this paper, we give an involution throughout the interpretation of Fibonacci numbers given by Krzywkowski to explain the above identity and answer the question provided by Benjamin and Quinn.
A Novel Method of Computing Quadratic Weil Sum
Authors: Zhang Zhexing 
Published: December 2022

Abstract
Let χ be an additive character of F
q
and let L(x) be a linearized polynomial over F
qn. In this paper, we consider the Weil sums of quadratic functions, namely,

∑

x
∈

F

q
n

χ
(
T
r(
χ
L
(
χ
)
)

. Quadratic Weil sum is a critical topic in number theory and has applications in sequence design, coding, and cryptography. The computation of a quadratic Weil sum is complicated and sometimes impractical. This paper introduces a novel and generic way of computing quadratic Weil sums, which allows us to deal with the computation more efficiently compared with previous methods. As a result, we give a formula for computing

∑
​

x
∈

P

q
n

χ
(
T
r
(

∑
​

i
,
j
≤
n

a

i
j

χ

q
i

+

q
j

)
)

explicitly in the case aij
∈ Fq
. We also incorporate our results to obtain the condition for a class of Boolean functions to be bent, which are highly non-linear and widely applied in cryptography.
Staggered Discontinuous Galerkin Method for Singular Power-law Systems
Authors: He Qiqi 
Published: December 2022

Abstract
In this paper, we study singular power-law models of shear thinning, which is characterized by unbounded viscosity at the zero shear-rate limit, and we study the staggered discontinuous Galerkin method for p-Stokes type systems for p ∈ (1,2]. We use Picard’s iterate method to solve the correspondent nonlinear system. If p is very close to 1, when solving discrete nonlinear equations using the Picard method, numerical instabilities often occur. We give the numerical stability method of singular power-law system and some numerical experiments by reference [1].
Inequalities on the Fan Product of M-matrices
Authors: Zhong Qin , Mou Gufang 
Published: December 2022

Abstract
The research of M-matrix involving Fan product is an important topic of M-matrix theory research. Three inequalities on the minimum eigenvalue of Fan product are exhibited through the Perron eigenvectors of the M-matrices. The inequalities can be regarded as useful complements to existing research results.
Study on the Pipe–soil Interaction under Instability of Slope Based on Flume Experiment
Authors: Lian Jiangqiao , Shi Rui , Fan Rendan , Li Xianghui 
Published: December 2022

Abstract
To study the landslide of buried gas pipeline caused by rainfall, based on the flume experiment the laboratory model of rainfall-induced pipe–soil interaction of slope instability was established. By monitoring the cross-section strain of the pipeline under the slope instability induced by rainfall infiltration, the effect of soil on the pipeline is analyzed and calculated. The results show that the pipeline is located at different failure surfaces of the slope, which is affected by slope instability to different degrees. In the slope toe of apertures, ultimate cross-section strain is the largest, calculation of soil force and maximum limit 1515.535 N/m, and that of slope top pipe is 216.169 N/m, attenuation trend from toe to the top. Resultant force directions are distributed in soil and the horizontal angle is 68°. The results can provide reference and technical reserve for the study of pipe-soil interaction of buried natural gas pipelines under the action of landslide and the further improvement of pipeline safety.
Propagation Characteristics of SH Wave in Orthotropic Layer/Piezoelectric Column Structure
Authors: Li TaiSong , Wang YanHong 
Published: December 2022

Abstract
The propagation characteristics of SH waves along the circumferential direction in an orthotropic layer/piezoelectric column structure with a non-ideal interface are studied in this paper. By solving the governing equations, the solutions to the problem are expressed by the first and second Bessel functions. The dispersion equation is obtained by the boundary conditions and the interface conditions. The numerical examples are provided to show the effects of the degree of orthogonal anisotropy, the thickness-diameter ratio, and the imperfect interface on the dispersion characteristics.
Experimental Study on Emulsion Explosive Blasting under Different Under-Water Pressure
Authors: Liu Lei , Qi Hongyu , Zhang Haitao , Cai Yongzhi 
Published: December 2022

Abstract
This paper aims to study the effects of different water depths on the properties of emulsion explosives by use of an emulsion explosive underwater explosion test system for different hydrostatic pressure under the condition of 0.2% sodium nitrite sensitized emulsion explosive blasting model experiments. The results showed that the experiment designed by simulation of underwater explosion test equipment can be used in the explosive performance test sample in the compression state explosion. It can better simulate the explosive environment under different depth conditions. After blasting, the fractal dimension of concrete fragments decreases first and then rises with the increase of water pressure, and reaches an inflection point between 0.3 mpa and 0. 5mpa, which proves that water depth has a certain effect on the performance of explosives, and the effect is not linear distribution. This experimental study could provide a certain basis for subsequent research on underwater explosive characteristics of emulsion explosives.
Basic Introduction to Detectors of the Large Hadron Collider
Authors: Chen Xin 
Published: December 2022

Abstract
Particle physics is intended to explore the microscopic world, to be more specific, to understand the physical laws of particles. So far, the Standard Model (SM) is the best theory we have to explain particle properties and their behaviors. Such great success attributes to the data acquired from experiments in particle physics. These experiments not only provide evidence about the correctness of the SM but also reveal the limitations and what may be beyond the SM. Since microscopic phenomena cannot be observed by human eyes, it is necessary to use special instruments to do these experiments, and one of them is the Large Hadron Collider (LHC). This review shall introduce the basic information of the LHC and focus on the basic structure and principles of the detectors used in two experiment projects of the LHC.
Root Locus of Some High-order Polynomials
Authors: Xie Xing , Liao Zhihong , Yang Tianle , Zhang Jixian , Yang Zheng 
Published: December 2022

Abstract
For a third-order complex polynomial with its roots bounded by a circle, Marden’s theorem provides a useful way to evaluate the locus of its critical points. We construct a fourth-order complex polynomial by restricting its roots to ellipse and hyperbola. The locus of its critical points can be expressed by a formula. In addition, if the roots of complex polynomials are not restricted, their critical points will not occupy some regions.
Muon rate measurement under different thicknesses of Pb
Authors: Yang Zhekai , Dong Yiran 
Published: December 2022

Abstract
The major purpose of this paper is to analyze the rate of events under the different thicknesses of Pb on the top of two cosmic watch desktop muon detectors. The desktop muon detector is a simple, easy-built, and cheap cosmic ray muon detector. Using these detectors, the researchers experimented with different altitudes [2]. In this work, we concluded how the thickness of Pb above the detectors influences the rate of the muon. We placed one-on-top of another detector and changed the thickness of Pb above them. Using the python program, we analyzed a large number of data collected by the two desktop muon detectors systematically. We analyzed the relationship between the muon rate with the thickness and calculated the parameters. The result shows muon rate decreases exponentially as thickness increasing.
NACA0009 Hydrofoil Groove Design for Suppressing TLV and Noise
Authors: Zhou Yudi , Li He 
Published: December 2022

Abstract
In hydraulic equipment, tip clearance may result in a leakage vortex known as a tip clearance leakage vortex (TLV), which reduces the machinery’s energy efficiency. In order to lessen the damage brought on by tip clearance, this research sets the angle, location, spacing, and depth of the grooves as significant criteria. The orthogonal approach is used to design the hydrofoil’s grooves. Numerous simulations are carried out using the SST k-turbulence model and the wideband noise source model. The results demonstrate how closely the numerical simulation matches what was seen in the experiments. The results demonstrate that grooves are a successful method for lowering TLV when compared to the original hydrofoil. The vortex area of the hydrofoil is reduced by 4.15% under the M5 design compared to the original hydrofoil. The groove significantly alters the dipole noise distribution of the hydrofoil’s leading edge in comparison to the original hydrofoil, resulting in a reduced decibel noise level at the hydrofoil’s tip clearance region. In comparison to the original hydrofoil, the average Curle APL of M5 and M8 decreased by 1.78 and 1.65%, respectively. Due to the way the groove blocks the TLV and muffles the noise it generates, M5 is in the optimum operational condition.
Optical Properties of Single-walled Carbon Nanotubes
Authors: Zhang Liyun , Zhou Ying , Zhang Na , Zhang Miao 
Published: December 2022

Abstract
In this paper, a series of single-walled carbon nanotubes’ optical properties are researched by using the ABINIT software package. The results show that the dielectric function and absorption coefficient of carbon nanotubes are related to both their geometric structure and their electronic structure. This has a guiding role for the further research of the optical properties of doped carbon nanotubes, carbon nanotubes with defects, and carbon nanotube arrays.
Study on the Asymmetric Separation Characteristics of Slender Body at High Angle of Attack under Lateral Jet Conditions
Authors: Zhang Xiaoliang , Cao Ning , Ni Zhaoyong , Li Suxun 
Published: December 2022

Abstract
The slender body is selected as the shape of the study. The effects of lateral jet flow at M∞ = 0.3, 0.6, 0.8 on the asymmetric separation characteristics of the body at large angles of attack are numerically simulated. To obtain the deterministic asymmetric separation results of the slender body, the artificial disturbance is carried on the tip of its head. The aerodynamic characteristics of asymmetric separation in jet-off and jet-on conditions are obtained, and the effects of Mach number, Angle of attack on asymmetric separation flow behaviors of the slender body are analyzed.