Application of Gaussian Beam Summation Migration in Reflected In-seam Wave Imaging

The geological conditions for coal mining in China are complex,with various structural issues such as faults and collapsed columns seriously compromising the safety of coal mine production.In-seam wave exploration is an effective technique for acquiring detailed information on geological structures in coal seam working faces.However,the existing reflected in-seam wave imaging technique can no longer meet the exploration precision requirements,making it imperative to develop a new reflected in-seam wave imaging technique.This study applies the Gaussian beam summation(GBS)migration method to imaging coal seams'reflected in-seam wave data.Firstly,with regard to the characteristics of the reflected in-seam wave data,methods such as wavefield removal and enveloped superposition are employed for the corresponding wavefield separation,wave train compression and other processing of reflected in-seam waves.Thereafter,imaging is performed using the GBS migration technique.The feasibility and effectiveness of the proposed method for reflected in-seam wave imaging are validated by conducting GBS migration tests on 3D coal-seam fault models with different dip angles and throws.By applying the method to reflected in-seam wave data for an actual coal seam working face,accurate imaging of a fault structure is obtained,thereby validating its practicality.

Drifting Catkins in a Chaotic World-A Discussion on the Enlightenment of Love Amidst the Interweaving of Sorrow and Joy in Love in a Fallen City

In the novel Love in a Fallen City,Bai Liusu and Fan Liuyuan realize the enlightenment of love in the situation of conflicting values and creation.It is an important turning point for the change of their self-consciousness and social cognition.

The Enlightenment of Tai Chi Philosophical World View on Human Peace

This paper discusses the worldview of classical Chinese Tai Chi philosophy:the holistic view,the view of Yin and Yang,view of change,view of no change,and view of harmony and their enlightenment to human peace.The holistic view inspires people to look at human society from the height of the whole earth,and consider not only national interests,but also the interests of all mankind.The view of yin-yang tells people that when analyzing problems,they should look at the two aspects of yin-yang integration,not only to consider their own national interests,but also the interests of other countries,not only to see the contradictions and conflicts between countries,but also to see mutual benefits,to develop positive factors and to overcome negative factors;The view of change tells people that national leaders should adjust their foreign relations according to the changes of the times and the situation on the premise of abiding by objective laws;The view of no change tells us to act in accordance with the laws of nature and society,and that countries should respect each other,benefit each other,and cooperate for win-win results.The view of harmony enlightens us that in international relations,we should advocate the idea of living in harmony,harmony in diversity and harmonious coexistence,and oppose hegemonism and power politics.

Construction of the Genealogy of Eccentric Monks Based on the Historical Materials of Chan Buddhism in the Song Dynasty--From Enlightened Masters in Chan Buddhism,Sages,to Saints

Regarding the Chan Buddhism lamp records from the Song Dynasty and starting from Jing De Zhuan Deng Lu,the category of“enlightened masters in Chan Buddhism”禪門達者was listed separately,meaning a separate category was established for eccentric monks who pretended to be crazy,had unknown inheritance and miraculous deeds,and were difficult to classify.The following lamp records named this category of eccentric monks as“sages”散聖,or“saints”應化聖賢,which constructed another historical genealogy for the special Chan Buddhism eccentric monks.Moreover,the early lamp records included mostly idiosyncratic mad monks from previous dynasties.Since the Southern Song Dynasty,Chan Buddhism historical materials included many sages from the current dynasty.Therefore,this study mainly examines how the genealogy of Chan Buddhism eccentric monks was constructed in Song Dynasty Chan Buddhism lamp records,including quotations,and organizes the images of eccentric monks in the Song Dynasty,as written in Chan Buddhism historical materials,in order that the meaning of existence of these enlightened masters,sages,saints,etc.,included in the genealogy of Song Dynasty eccentric monks in the history of Chan Buddhism can be reflected.

A Naturalistic Perspective to the Kite Runner and Its Enlightenments to the Contemporary

By analyzing the basic naturalistic features,namely the controlling power of environment and heredity,it is expected that the naturalistic tendency,at least naturalistic features of the novel can be revealed and some enlightenments on the world view of the contemporary can be gained.The early part of the thesis provides a frame by giving the research background and synopsis,while the later sections aim at approaching the conclusion at the efforts of unveiling the naturalistic features in the novel.

A self-cited pixel summation based image encryption algorithm

In this paper, a novel image encryption algorithm is presented based on self-cited pixel summation. With the classical mechanism of permutation plus diffusion, a pixel summation of the plain image is employed to make a gravity influence on the pixel positions in the permutation stage. Then, for each pixel in every step of the diffusion stage, the pixel summation calculated from the permuted image is updated. The values from a chaotic sequence generated by an intertwining logistic map are selected by this summation. Consequently, the keystreams generated in both stages are dependent on both the plain image and the permuted image. Because of the sensitivity of the chaotic map to its initial conditions and the plain-imagedependent keystreams, any tiny change in the secret key or the plain image would lead to a significantly different cipher image. As a result, the proposed encryption algorithm is immune to the known plaintext attack（KPA） and the chosen plaintext attack（CPA）. Moreover, experimental simulations and security analyses show that the proposed permutationdiffusion encryption scheme can achieve a satisfactory level of security.

Loudness Summation and Weightings for Loudness and Environmental Noise Assessment

A stationary loudness model has been built up on the basis of the former ISO 226: 1987 concerning equal-loudness-level contours. The loudness and loudness level expressions derived in the study include the same parameters as used when determining the equal-loudness-level contours of the former ISO standard. However, as an additional main idea, a loudness summation rule has been proposed in the study. Moreover, the loudness expressions have been normalised to give the same values for people who have a similar sense of hearing. It has also been found that the loudness expressions include basically two different weightings. The first weighting is a conservative frequency weighting in the domain of sound pressure level, and the second weighting consists of coefficients applied to the weighted sound pressure levels. The latter have the greatest effect on the very low-frequency range. Finally, the paper includes a new way to use the A-weighting which takes into account the compressed character of the equal-loudness-level contours at the low frequency range. This method remarkably transforms the character of the A-weighting as a measure for low-frequency environmental noise.

Estimates of three classical summations on the spaces F_p^(α,q)(R^n)(0 < p ≤ 1)

We obtain the boundedness on Fp^α,q（R^n）for the Poisson summation and Gauss summation. Their maximal operators are proved to be bounded from Fp^α,q（R^n）to L∞（R^n）For the maximal operator of the Bochner-Riesz summation, we prove that it is bounded from Fp^α,q（R^n）to L n-pα/pn,（0〈p≤ 1）∞（R^n）.

On the best convergence order of a new class of triangular summation operators

In this paper, a new class of triangular summation operators based on the equidistant nodes was constructed. It is proved that this class of operators converges uniformly to arbitrary continuous fimctions with the period 2π on the whole axis, Fttrthermore, the best approximation order and the highest convergence order are obtained. In contrast to certain operators constructed by Bernstein and Kis in the previous works, the convergence properties of the new operator constructed in this paper are superior.

On a New Family of Trigonometric Summation Polynomials of Bernstein Type

A new family of trigonometric summation polynomials, Gn,r（f; θ）, of Bernstein type is constructed. In contrast to other trigonometric summation polynomials, the convergence properties of the new polynomials are superior to others. It is proved that Gn,r（f; θ） converges to arbitrary continuous functions with period 2π uniformly on （-∞ ＋∞） as n→ ∞. In particular, Gn,r（f; θ） has the best convergence order, and its saturation order is 1/n^2r＋4.

The Non-countable Summation Type Hahn-Schur Theorems

The classical countable summation type Hahn-Schur theorem is a famous result in summation theory and measure theory. An interesting problem is whether the theorem can be generalized to non-countable summation case? In this paper, we show that the answer is true.

OPTIMAL SUMMATION INTERVAL AND NONEXISTENCE OF POSITIVE SOLUTIONS TO A DISCRETE SYSTEM

In this paper, we are concerned with properties of positive solutions of the following Euler-Lagrange system associated with the weighted Hardy-Littlewood-Sobolev inequality in discrete form{uj =∑ k ∈Zn vk^q/（1 ＋ ｜j｜）^α（1 ＋ ｜k- j｜）^λ（1 ＋ ｜k｜）^β,（0.1）vj =∑ k ∈Zn uk^p/（1 ＋ ｜j｜）^β（1 ＋ ｜k- j｜）^λ（1 ＋ ｜k｜）^α,where u, v 〉 0, 1 〈 p, q 〈 ∞, 0 〈 λ 〈 n, 0 ≤α ＋ β≤ n- λ,1/p＋1〈λ＋α/n and 1/p＋1＋1/q＋1≤λ＋α＋β/n：=λ^-/n. We first show that positive solutions of（0.1） have the optimal summation interval under assumptions that u ∈ l^p＋1（Z^n） and v ∈ l^q＋1（Z^n）. Then we show that problem（0.1） has no positive solution if 0 〈λˉ pq ≤ 1 or pq 〉 1 and max{（n-λ^-）（q＋1）/pq-1,（n-λ^-）（p＋1）/pq-1} ≥λ^-.

Summation of Reciprocals Related to Square of Products of Fibonacci Numbers

By applying the method of on summation by parts,the purpose of this paper is to give several reciprocal summations related to squares of products of the Fibonacci numbers.

The Practical Enlightenment of Chinese Modernization to the Modernization of Ideological and Political Education in Universities

The report approved on The 20th National Congress of The Communist Party of China (CPC) explained deep meaning of Chinese modernization, which provided practical enlightenment and value guidance for the modernization of ideological and political education in universities. The five distinctive characteristics of Chinese modernization, including “huge population”,“common prosperity for all”, “harmony between material and spiritual civilization”, “harmony between humanity and nature”, “following the path of peaceful development”, guided universities to build a more targeted ideological and political education system. In this way, universities can cultivate more talents for modernization cause.

ULAM-HYERS-RASSIAS STABILITY AND EXISTENCE OF SOLUTIONS TO NONLINEAR FRACTIONAL DIFFERENCE EQUATIONS WITH MULTIPOINT SUMMATION BOUNDARY CONDITION

The purpose of this study is to acquire some conditions that reveal existence and stability for solutions to a class of difference equations with non-integer orderμ∈(1,2].The required conditions are obtained by applying the technique of contraction principle for uniqueness and Schauder’s fixed point theorem for existence.Also,we establish some conditions under which the solution of the considered class of difference equations is generalized Ulam-Hyers-Rassias stable.Example for the illustration of results is given.

On the Implementation of Exponential B-Splines by Poisson Summation Formula

Polynomial splines have played an important role in image processing, medical imaging and wavelet theory. Exponential splines which are of more general concept have been recently investigated.We focus on cardinal exponential splines and develop a method to implement the exponential B-splines which form a Riesz basis of the space of cardinal exponential splines with finite energy.

The Proof and Application of a Summation Formula

In this paper, some conclusions related to the prime number theorem, such as the Mertens formula are improved by the improved Abelian summation formula, and some problems such as “Dirichlet” function and “W(n)” function are studied.

SUMMATION OF TRIGONOMETRIC SERIES BY FOURIER TRANSFORMS

This paper gives the theorems concerning the summation of trigonometric series with the help of Fourier transforms. By means of the known results of Fourier transforms, many difficult and complex problems of summation of trigonometric series can be solved. This method is a comparatively unusual way to find the summation of trigonometric series, and has been used to establish the comprehensive table of summation of trigonometric series. In this table 10 thousand scries arc given, and most of them are new.

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators

In this article,discrete variants of several results from vector calculus are studied for clas-sical finite difference summation by parts operators in two and three space dimensions.It is shown that existence theorems for scalar/vector potentials of irrotational/solenoidal vector fields cannot hold discretely because of grid oscillations,which are characterised explicitly.This results in a non-vanishing remainder associated with grid oscillations in the discrete Helmholtz Hodge decomposition.Nevertheless,iterative numerical methods based on an interpretation of the Helmholtz Hodge decomposition via orthogonal projections are pro-posed and applied successfully.In numerical experiments,the discrete remainder vanishes and the potentials converge with the same order of accuracy as usual in other first-order partial differential equations.Motivated by the successful application of the Helmholtz Hodge decomposition in theoretical plasma physics,applications to the discrete analysis of magnetohydrodynamic(MHD) wave modes are presented and discussed.

中国石油深层、超深层油气勘探进展与启示

近年来,中国石油天然气股份有限公司(以下简称中国石油)在陆上深层、超深层油气领域勘探持续获得突破,形成了一批规模储量区,展现出了巨大的油气勘探潜力。为了进一步明确未来中国石油深层、超深层油气勘探方向,在对中国石油近期油气勘探发展形势和新进展分析的基础上,将深层、超深层重点勘探突破进行了领域细分,并系统梳理了中国石油未来油气勘探重点区带并开展了排队优选研究,最后总结了各领域的勘探经验和启示。研究结果表明:①深层、超深层领域可细分为海相碳酸盐岩、碎屑岩及复杂岩性地层、前陆冲断带、深层页岩气4大领域;②向深层进军寻找突破是中国石油未来油气勘探的战略选择,也是未来中国石油油气勘探的重点,应分层次、突出重点部署,积极寻找规模新发现和大突破;③中国石油深层、超深层4大领域勘探程度低、剩余资源潜力大,根据目前勘探进展,初步梳理出40个未来油气勘探重点区带,其中石油地质资源量为39.4×10^(8)t,天然气地质资源量为39.6×10^(12)m^(3),油气勘探潜力巨大。结论认为,深层、超深层是规模油气发现的重大现实领域,保持战略定力、持续加大技术攻关和新领域的探索力度、不断创新理论认识、突破技术瓶颈是加快深层、超深层油气规模勘探开发的重要举措。