This paper deals with the radial symmetry of positive solutions to the nonlocal problem(-Δ)_(γ)~su=b(x)f(u)in B_(1){0},u=h in R~N B_(1),where b:B_1→R is locally Holder continuous,radially symmetric and decreasing i...This paper deals with the radial symmetry of positive solutions to the nonlocal problem(-Δ)_(γ)~su=b(x)f(u)in B_(1){0},u=h in R~N B_(1),where b:B_1→R is locally Holder continuous,radially symmetric and decreasing in the|x|direction,F:R→R is a Lipschitz function,h:B_1→R is radially symmetric,decreasing with respect to|x|in R^(N)/B_(1),B_(1) is the unit ball centered at the origin,and(-Δ)_γ~s is the weighted fractional Laplacian with s∈(0,1),γ∈[0,2s)defined by(-△)^(s)_(γ)u(x)=CN,slimδ→0+∫R^(N)/B_(δ)(x)u(x)-u(y)/|x-y|N+2s|y|^(r)dy.We consider the radial symmetry of isolated singular positive solutions to the nonlocal problem in whole space(-Δ)_(γ)^(s)u(x)=b(x)f(u)in R^(N)\{0},under suitable additional assumptions on b and f.Our symmetry results are derived by the method of moving planes,where the main difficulty comes from the weighted fractional Laplacian.Our results could be applied to get a sharp asymptotic for semilinear problems with the fractional Hardy operators(-Δ)^(s)u+μ/(|x|^(2s))u=b(x)f(u)in B_(1)\{0},u=h in R^(N)\B_(1),under suitable additional assumptions on b,f and h.展开更多
The article takes the famous modern American Jewish writer Bernard Malamud’s novel The Magic Barrel as the object of study,and uses symbolism to interpret it,analyzing it one by one in terms of the magic barrel,the c...The article takes the famous modern American Jewish writer Bernard Malamud’s novel The Magic Barrel as the object of study,and uses symbolism to interpret it,analyzing it one by one in terms of the magic barrel,the colors,the seasons and the windows,respectively,so as to reveal the process of getting rid of the childishness within the novel’s male protagonist,Leo Finkel,who is maturing,as well as the novel’s Jewish theme of searching for the soul of the self.展开更多
The Altomani&Sons Collection owns a remarkable newly discovered portrait of Guidobaldo II della Rovere,Duke of Urbino(1514-1574),a historical military figure who was a condottiere,ruler of Urbino,Commander-in-chie...The Altomani&Sons Collection owns a remarkable newly discovered portrait of Guidobaldo II della Rovere,Duke of Urbino(1514-1574),a historical military figure who was a condottiere,ruler of Urbino,Commander-in-chief of the Papal Estate,and Perfect of Rome,as well as a collector and patron of the Fine Arts.Camilla Guerrieri Nati(1628-1694),a seventeenth-century Italian painter from Fossombrone(in the province of Pesaro and Urbino),portrayed this heroic personage surrounded by emblems associated with his military courage and leadership,including his plumed burgonet helmet,metal gilded armor,a necklace with the golden fleece,and batons of secular and religious dominions.This oil painting on copper-considered a precious metal at the time-emphasizes the importance of the commission.The material and technique also reveals a unique artistic achievement in that it provides the painting with a smooth,reflective surface and vibrant coloration,symbolizing precious imagery.展开更多
A symbol is an expression of meaning,while blank symbols express special meanings.By focusing on the application of blank symbols in Japanese architecture and indoor designs,we analyzed the aesthetic principles in Jap...A symbol is an expression of meaning,while blank symbols express special meanings.By focusing on the application of blank symbols in Japanese architecture and indoor designs,we analyzed the aesthetic principles in Japanese architecture and indoor designs from the perspective of semiotics,such as“Kongji,”“Emptiness,”and“Dying out,”and their minimalist and pure design concepts.Traditional Chinese culture was also further explored,especially the profound influence of the“Chan sect”and the philosophy of“unity of heaven and mankind”on Japanese architecture and designs.This study aims to facilitate the coexistence and mutual appreciation of Chinese and Japanese architectural designs.展开更多
This thesis aims to analysis the varied and meaningful symbols in Ethan Frome by Edith Wharton,which,without doubt,will help enhance the understanding of this classic novel.
Sherwood Anderson is an American famous short story writer.The most enduring work of his is the short story sequence Winesburg,Ohio.He is good at capturing the real sound of everyday speech in his writing and creating...Sherwood Anderson is an American famous short story writer.The most enduring work of his is the short story sequence Winesburg,Ohio.He is good at capturing the real sound of everyday speech in his writing and creating it in new forms and styles.And Death in the Woods is considered as one of his most distinctive stories.It depicts a miserable old woman who feeds others all her life by using symbols to enrich the simple story.This paper intends to reveal the author's deep reflection of American's indifferent and apathetic attitudes in the whole society by means of the symbols of the person,color and dog.展开更多
A mathematical model of perceptual symbol system is developed. This development requires new mathematical methods of dynamic logic (DL), which have overcome limitations of classical artificial intelligence and connect...A mathematical model of perceptual symbol system is developed. This development requires new mathematical methods of dynamic logic (DL), which have overcome limitations of classical artificial intelligence and connectionist approaches. The paper discusses these past limitations, relates them to combinatorial complexity (exponential explosion) of algorithms in the past, and relates it further to the static nature of classical logic. DL is a process-logic;its salient property is evolution of vague representations into crisp. We first consider one aspect of PSS: situation learning from object perceptions. Next DL is related to PSS mechanisms of concepts, simulators, grounding, embodiment, productiveity, binding, recursion, and to the mechanisms relating embodied-grounded and amodal symbols. We discuss DL capability for modeling cognition on multiple levels of abstraction. PSS is extended toward interaction between cognition and language. Experimental predictions of the theory are discussed. They might influence experimental psychology and impact future theoretical developments in cognitive science, including knowledge representation, and mechanisms of interaction between perception, cognition, and language. All mathematical equations are also discussed conceptually, so mathematical understanding is not required. Experimental evidence for DL and PSS in brain imaging is discussed as well as future research directions.展开更多
The ballet Raise the Red Lantern created by The National Ballet of China in 2001 combines the beauty of dance,op?era and dance in a reasonable and precise layout.In order to better express the theme and increase the v...The ballet Raise the Red Lantern created by The National Ballet of China in 2001 combines the beauty of dance,op?era and dance in a reasonable and precise layout.In order to better express the theme and increase the visual aesthetics of dance dra?ma,the director has used a large number of art symbols.From the perspective of art symbols,this paper analyses the color,composi?tion and shape of the dance drama,the role and significance of the performance theme in it,and its presentation of visual beauty of dance drama.展开更多
Recently, Cooperative diversity in wireless communication systems has gained much attention. A simple two-user cooperative diversity scheme called decode-and-forward cooperation scheme has been presented by Laneman (2...Recently, Cooperative diversity in wireless communication systems has gained much attention. A simple two-user cooperative diversity scheme called decode-and-forward cooperation scheme has been presented by Laneman (2004). Each user has one partner to decode its information and retransmit it by employing repeti-tion coding. This scheme can offer diversity order of two. But the bandwidth efficiency is low. In this paper, we propose a bandwidth efficient three-user cooperative diversity scheme based on relaying superposition symbols. Each user has two partners and each partner relays superposition symbols of the other two users instead of repetition. Thus, the bandwidth efficiency is improved compared to the baseline decode- and-forward cooperative diversity scheme presented by Laneman. Moreover, the proposed scheme can also offer diversity order of two. Then, in order to improve the system performance, a new constellation labeling for the superposition 8PSK modulation is designed. It is a simple way to exploit the symbol mapping diver-sity and a gain of about 2 dB can be obtained. Furthermore, the performance improvement comes at no addi-tional power or bandwidth expense.展开更多
As the combining form of the orthogonal frequency-division multiplexing (OFDM) technique and the vertical Bell Labs layered space-time (V-BLAST) architecture, the V-BLAST OFDM system can better meet the demand of next...As the combining form of the orthogonal frequency-division multiplexing (OFDM) technique and the vertical Bell Labs layered space-time (V-BLAST) architecture, the V-BLAST OFDM system can better meet the demand of next-generation (NextG) broadband mobile wireless multimedia communications. The symbols detection problem of the V-BLAST OFDM system is investigated under the frequency-selective fading environment. The joint space-frequency demultiplexing operation is proposed in the V-BLAST OFDM system. Successively, one novel half-rate rotational invariance joint space-frequency coding scheme for the V-BLAST OFDM system is proposed. By elegantly exploiting the above rotational invariance property, we derive one direct symbols detection scheme without knowing channels state information (CSI) for the frequency-selective V-BLAST OFDM system. Extensive simulation results demonstrate the validity of the novel half-rate rotational invariance joint space-frequency coding scheme and the performance of the direct symbols detection scheme.展开更多
The novel Lord of the Flies was published in 1954, since then, a lot of praise, including the honor of the Nobel Prize in literature, was given to the novel and its author. The magic of the novel lies in something und...The novel Lord of the Flies was published in 1954, since then, a lot of praise, including the honor of the Nobel Prize in literature, was given to the novel and its author. The magic of the novel lies in something under the surface meaning of the novel itself. With symbolism as a main figurative device, there are various symbols in this novel. Symbol, in literature, is a thing that refers or suggests something more than its literal meaning. In this novel, a lot of symbols are employed, some of them are obvious, others are obscure. This paper will focus on the objective symbols, the things and the people that can be seen by our eyes.展开更多
Red cultural symbols are the political symbolic expressions of socialism with Chinese characteristics;the post-truth era is a communication field that is gradually becoming visible in the current information society.B...Red cultural symbols are the political symbolic expressions of socialism with Chinese characteristics;the post-truth era is a communication field that is gradually becoming visible in the current information society.Both red cultural symbols and post-truth have their unique structural composition and expression,and they interact with each other in different aspects of communication,and produce the realistic effect of one of the two sides.Thus,red cultural symbols are facing the triple crisis of red memory distorting,red meaning weakening and communication effectiveness weakened.The crisis arises spontaneously in the post-truth era,which resorts to irrationality,insistence on subjective positions,and manipulation of information.In the post-truth era,we can try to crack the crisis of red cultural symbols’communication by confronting these with value leadership,rationality and affinity to the people.展开更多
Cultural landscape is not only the objective environment for cultural exchanges on the Silk Road,but also an important medium for carrying multicultural information.From the perspective of cultural communication,this ...Cultural landscape is not only the objective environment for cultural exchanges on the Silk Road,but also an important medium for carrying multicultural information.From the perspective of cultural communication,this study took the cultural landscape as the media of cultural communication,and put forward the specific forms of landscape symbols in Central Asia.Relying on the unique natural and human characteristics of Central Asia,landscape elements such as architecture,sculpture and plants were respectively combed in terms of culture,and the cultural exchanges and communication of the Silk Road were peeped in the form of cultural landscape art.展开更多
1. Introduction In application of nonlinear boundary value problems, it is sometimes important to know that L~2-boundedness of a class of pseudo-differential operators with symbols whioh have nonsmooth coefficients. I...1. Introduction In application of nonlinear boundary value problems, it is sometimes important to know that L~2-boundedness of a class of pseudo-differential operators with symbols whioh have nonsmooth coefficients. In [2], Coifman and Meyer proved that the operator σ(x, D) is bounded in L~2(R~n) if its symbold (x, ξ) satisfies:展开更多
This thesis aims to analyze the representative characters and symbols in Lord of the Flies in detail. It first gives a conciseintroduction of William Golding and the background information of the novel. Then, in order...This thesis aims to analyze the representative characters and symbols in Lord of the Flies in detail. It first gives a conciseintroduction of William Golding and the background information of the novel. Then, in order to disclose the implied meaning of thesymbols used in this book, it classifies the symbolic characters and objects into three categories, namely good, evil and the neutralones. After the analysis, the author of this thesis makes an attempt to further explore the theme behind these symbols.展开更多
基金supported by the NSFC(12001252)the Jiangxi Provincial Natural Science Foundation(20232ACB211001)。
文摘This paper deals with the radial symmetry of positive solutions to the nonlocal problem(-Δ)_(γ)~su=b(x)f(u)in B_(1){0},u=h in R~N B_(1),where b:B_1→R is locally Holder continuous,radially symmetric and decreasing in the|x|direction,F:R→R is a Lipschitz function,h:B_1→R is radially symmetric,decreasing with respect to|x|in R^(N)/B_(1),B_(1) is the unit ball centered at the origin,and(-Δ)_γ~s is the weighted fractional Laplacian with s∈(0,1),γ∈[0,2s)defined by(-△)^(s)_(γ)u(x)=CN,slimδ→0+∫R^(N)/B_(δ)(x)u(x)-u(y)/|x-y|N+2s|y|^(r)dy.We consider the radial symmetry of isolated singular positive solutions to the nonlocal problem in whole space(-Δ)_(γ)^(s)u(x)=b(x)f(u)in R^(N)\{0},under suitable additional assumptions on b and f.Our symmetry results are derived by the method of moving planes,where the main difficulty comes from the weighted fractional Laplacian.Our results could be applied to get a sharp asymptotic for semilinear problems with the fractional Hardy operators(-Δ)^(s)u+μ/(|x|^(2s))u=b(x)f(u)in B_(1)\{0},u=h in R^(N)\B_(1),under suitable additional assumptions on b,f and h.
文摘The article takes the famous modern American Jewish writer Bernard Malamud’s novel The Magic Barrel as the object of study,and uses symbolism to interpret it,analyzing it one by one in terms of the magic barrel,the colors,the seasons and the windows,respectively,so as to reveal the process of getting rid of the childishness within the novel’s male protagonist,Leo Finkel,who is maturing,as well as the novel’s Jewish theme of searching for the soul of the self.
文摘The Altomani&Sons Collection owns a remarkable newly discovered portrait of Guidobaldo II della Rovere,Duke of Urbino(1514-1574),a historical military figure who was a condottiere,ruler of Urbino,Commander-in-chief of the Papal Estate,and Perfect of Rome,as well as a collector and patron of the Fine Arts.Camilla Guerrieri Nati(1628-1694),a seventeenth-century Italian painter from Fossombrone(in the province of Pesaro and Urbino),portrayed this heroic personage surrounded by emblems associated with his military courage and leadership,including his plumed burgonet helmet,metal gilded armor,a necklace with the golden fleece,and batons of secular and religious dominions.This oil painting on copper-considered a precious metal at the time-emphasizes the importance of the commission.The material and technique also reveals a unique artistic achievement in that it provides the painting with a smooth,reflective surface and vibrant coloration,symbolizing precious imagery.
基金Department of Education in Yunnan Province Fund for Scientific Research,Research on the Origin Tracing of the Traditional Architectures of Limi People of Yunnan Yi Ethnic Group(No.2022Y658).
文摘A symbol is an expression of meaning,while blank symbols express special meanings.By focusing on the application of blank symbols in Japanese architecture and indoor designs,we analyzed the aesthetic principles in Japanese architecture and indoor designs from the perspective of semiotics,such as“Kongji,”“Emptiness,”and“Dying out,”and their minimalist and pure design concepts.Traditional Chinese culture was also further explored,especially the profound influence of the“Chan sect”and the philosophy of“unity of heaven and mankind”on Japanese architecture and designs.This study aims to facilitate the coexistence and mutual appreciation of Chinese and Japanese architectural designs.
文摘This thesis aims to analysis the varied and meaningful symbols in Ethan Frome by Edith Wharton,which,without doubt,will help enhance the understanding of this classic novel.
文摘Sherwood Anderson is an American famous short story writer.The most enduring work of his is the short story sequence Winesburg,Ohio.He is good at capturing the real sound of everyday speech in his writing and creating it in new forms and styles.And Death in the Woods is considered as one of his most distinctive stories.It depicts a miserable old woman who feeds others all her life by using symbols to enrich the simple story.This paper intends to reveal the author's deep reflection of American's indifferent and apathetic attitudes in the whole society by means of the symbols of the person,color and dog.
文摘A mathematical model of perceptual symbol system is developed. This development requires new mathematical methods of dynamic logic (DL), which have overcome limitations of classical artificial intelligence and connectionist approaches. The paper discusses these past limitations, relates them to combinatorial complexity (exponential explosion) of algorithms in the past, and relates it further to the static nature of classical logic. DL is a process-logic;its salient property is evolution of vague representations into crisp. We first consider one aspect of PSS: situation learning from object perceptions. Next DL is related to PSS mechanisms of concepts, simulators, grounding, embodiment, productiveity, binding, recursion, and to the mechanisms relating embodied-grounded and amodal symbols. We discuss DL capability for modeling cognition on multiple levels of abstraction. PSS is extended toward interaction between cognition and language. Experimental predictions of the theory are discussed. They might influence experimental psychology and impact future theoretical developments in cognitive science, including knowledge representation, and mechanisms of interaction between perception, cognition, and language. All mathematical equations are also discussed conceptually, so mathematical understanding is not required. Experimental evidence for DL and PSS in brain imaging is discussed as well as future research directions.
文摘The ballet Raise the Red Lantern created by The National Ballet of China in 2001 combines the beauty of dance,op?era and dance in a reasonable and precise layout.In order to better express the theme and increase the visual aesthetics of dance dra?ma,the director has used a large number of art symbols.From the perspective of art symbols,this paper analyses the color,composi?tion and shape of the dance drama,the role and significance of the performance theme in it,and its presentation of visual beauty of dance drama.
文摘Recently, Cooperative diversity in wireless communication systems has gained much attention. A simple two-user cooperative diversity scheme called decode-and-forward cooperation scheme has been presented by Laneman (2004). Each user has one partner to decode its information and retransmit it by employing repeti-tion coding. This scheme can offer diversity order of two. But the bandwidth efficiency is low. In this paper, we propose a bandwidth efficient three-user cooperative diversity scheme based on relaying superposition symbols. Each user has two partners and each partner relays superposition symbols of the other two users instead of repetition. Thus, the bandwidth efficiency is improved compared to the baseline decode- and-forward cooperative diversity scheme presented by Laneman. Moreover, the proposed scheme can also offer diversity order of two. Then, in order to improve the system performance, a new constellation labeling for the superposition 8PSK modulation is designed. It is a simple way to exploit the symbol mapping diver-sity and a gain of about 2 dB can be obtained. Furthermore, the performance improvement comes at no addi-tional power or bandwidth expense.
文摘As the combining form of the orthogonal frequency-division multiplexing (OFDM) technique and the vertical Bell Labs layered space-time (V-BLAST) architecture, the V-BLAST OFDM system can better meet the demand of next-generation (NextG) broadband mobile wireless multimedia communications. The symbols detection problem of the V-BLAST OFDM system is investigated under the frequency-selective fading environment. The joint space-frequency demultiplexing operation is proposed in the V-BLAST OFDM system. Successively, one novel half-rate rotational invariance joint space-frequency coding scheme for the V-BLAST OFDM system is proposed. By elegantly exploiting the above rotational invariance property, we derive one direct symbols detection scheme without knowing channels state information (CSI) for the frequency-selective V-BLAST OFDM system. Extensive simulation results demonstrate the validity of the novel half-rate rotational invariance joint space-frequency coding scheme and the performance of the direct symbols detection scheme.
文摘The novel Lord of the Flies was published in 1954, since then, a lot of praise, including the honor of the Nobel Prize in literature, was given to the novel and its author. The magic of the novel lies in something under the surface meaning of the novel itself. With symbolism as a main figurative device, there are various symbols in this novel. Symbol, in literature, is a thing that refers or suggests something more than its literal meaning. In this novel, a lot of symbols are employed, some of them are obvious, others are obscure. This paper will focus on the objective symbols, the things and the people that can be seen by our eyes.
文摘Red cultural symbols are the political symbolic expressions of socialism with Chinese characteristics;the post-truth era is a communication field that is gradually becoming visible in the current information society.Both red cultural symbols and post-truth have their unique structural composition and expression,and they interact with each other in different aspects of communication,and produce the realistic effect of one of the two sides.Thus,red cultural symbols are facing the triple crisis of red memory distorting,red meaning weakening and communication effectiveness weakened.The crisis arises spontaneously in the post-truth era,which resorts to irrationality,insistence on subjective positions,and manipulation of information.In the post-truth era,we can try to crack the crisis of red cultural symbols’communication by confronting these with value leadership,rationality and affinity to the people.
基金Sponsored by Social Science Fund Project of Shaanxi(2018k11).
文摘Cultural landscape is not only the objective environment for cultural exchanges on the Silk Road,but also an important medium for carrying multicultural information.From the perspective of cultural communication,this study took the cultural landscape as the media of cultural communication,and put forward the specific forms of landscape symbols in Central Asia.Relying on the unique natural and human characteristics of Central Asia,landscape elements such as architecture,sculpture and plants were respectively combed in terms of culture,and the cultural exchanges and communication of the Silk Road were peeped in the form of cultural landscape art.
基金Project supported by the Science Fund of the Chinese Academy of Sciences.
文摘1. Introduction In application of nonlinear boundary value problems, it is sometimes important to know that L~2-boundedness of a class of pseudo-differential operators with symbols whioh have nonsmooth coefficients. In [2], Coifman and Meyer proved that the operator σ(x, D) is bounded in L~2(R~n) if its symbold (x, ξ) satisfies:
文摘This thesis aims to analyze the representative characters and symbols in Lord of the Flies in detail. It first gives a conciseintroduction of William Golding and the background information of the novel. Then, in order to disclose the implied meaning of thesymbols used in this book, it classifies the symbolic characters and objects into three categories, namely good, evil and the neutralones. After the analysis, the author of this thesis makes an attempt to further explore the theme behind these symbols.
