Let f and g be two permutable transcendental entire functions. In this paper, we first prove that J(fg)=J(f n g m) for any positive integers n and m . Then we prove that the function h(p(z))+az ∈/ B , where h(z) is...Let f and g be two permutable transcendental entire functions. In this paper, we first prove that J(fg)=J(f n g m) for any positive integers n and m . Then we prove that the function h(p(z))+az ∈/ B , where h(z) is any transcendental entire function with h′(z)=0 having infinitely many solutions, p(z) is a polynomial with deg p ≥2 and a(≠0) ∈ C .展开更多
Emily Dickinson is one of the most widely read and well-known American poets. Although there were just seven poems published during her lifetime, she was brought to many people's attention. Some people believe tha...Emily Dickinson is one of the most widely read and well-known American poets. Although there were just seven poems published during her lifetime, she was brought to many people's attention. Some people believe that Dickinson is a real romantic but others think she is a transcendentalist. However, both the factors of romanticism and transcendentalism can be seen in her character indeed. Romantic factors include individualism in her personality and her escaping from society. Transcendental factors are oversoul and mysticalness. If all the factors are taken into account, Emily Dickinson can fall into the category of both romanticism and transcendentalism.展开更多
Suppose that f and g are two transcendental entire functions, and h is a non-constant periodic entire function. We denote the Julia set and Fatou set off by J（f） and F（f）, respectively, lffand g are semiconjugated...Suppose that f and g are two transcendental entire functions, and h is a non-constant periodic entire function. We denote the Julia set and Fatou set off by J（f） and F（f）, respectively, lffand g are semiconjugated, that is, h · f = g · h, in this paper, we will show that z ∈ J（f） if and only if h（z） ∈ J（g） （ similarly, z F（f） if and only ifh（z） ∈ F（g））, and this extends a result of Bergweiler.展开更多
Let fμ(z)=z·ep(z)+μ with p(z) being real coefficient polynomial and it's leading coefficient be positive, μ∈R+, when p(z) and μ satisfy two certain conditions, buried point set of fμ(z) contains unbound...Let fμ(z)=z·ep(z)+μ with p(z) being real coefficient polynomial and it's leading coefficient be positive, μ∈R+, when p(z) and μ satisfy two certain conditions, buried point set of fμ(z) contains unbounded positive real interval.展开更多
Let f be a meromorphic function in C. If the order of f is greater than 2,has finitely many zeros and f takes a non-zero finite value finitely times, and then ?is unbounded.
In addition to recognizing well-being as a multidimensional construct,the potential indicators of well-being also have been recognized as multivariate.Specifically,some recent studies have suggested that various indic...In addition to recognizing well-being as a multidimensional construct,the potential indicators of well-being also have been recognized as multivariate.Specifically,some recent studies have suggested that various indices of social beliefs,religious attitudes and spiritual practices have been said to be robustly associated with well-being.Therefore,given the overwhelming need for promoting well-being and an increasing recognition of the multivariate indicators of well-being,this research project attempted to evaluate the relation of Qi,karma,transcendental experiences,and spiritual practices with the subjective well-being of people in Taiwan.The relevant data from the national sample of 1,933 participants were subjected to factor analysis to extract relevant factors,which included social and religious attitudes of karma and Qi,spiritual indicators of transcendental experiences and spiritual practices,and positive indicators of subjective well-being.In addition to significant intercorrelations,the hierarchical regression analyses after controlling for demographics suggested that Qi had the highest contribution to subjective well-being,followed by spiritual practices,karma,and transcendental experiences.These results are discussed,their implications are elucidated,and the directions for future research are suggested.展开更多
In 1958, Baker posed the question that if f and g are two permutable transcendental entire functions, must their Julia sets be the same? In order to study this problem of permutable transcendental entire functions, by...In 1958, Baker posed the question that if f and g are two permutable transcendental entire functions, must their Julia sets be the same? In order to study this problem of permutable transcendental entire functions, by the properties of permutable transcendental entire functions, we prove that if f and g are permutable transcendental entire functions, then mes (J(f)) = mes (J(g)). Moreover, we give some results about the zero measure of the Julia sets of the permutable transcendental entire functions family.展开更多
Related to the basic features of Emerson＇s theories of Transcendentalism, the exploration of the novel in this thesis goes on three aspects. First, Bellow＇s concept of nature adopted in this novel is an expression ...Related to the basic features of Emerson＇s theories of Transcendentalism, the exploration of the novel in this thesis goes on three aspects. First, Bellow＇s concept of nature adopted in this novel is an expression of transcendental notion of nature. Secondly, in Henderson the Rain King Bellow also inherits the legacy of American transcendentalism as the emphasis of spirit or the oversoul. Thirdly, Bellow values individuality as highly as his literary predecessor Emerson did, however, in this novel he discards individualism. As Bellow＇s first mature novel, Henderson the Rain King reflects Bellow＇s attitude toward the tradition of American Transcendentalism： acceptance and surpass.展开更多
The main aim of the article is to investigate the irrational and transcendental properties of certain real numbers by means of the factorial series and the factorial number system. The difference between the factorial...The main aim of the article is to investigate the irrational and transcendental properties of certain real numbers by means of the factorial series and the factorial number system. The difference between the factorial series and the factorial system is that the factorial series does not set an upper bound at a given place after the radix point, while in the factorial system (i – 1) is the maximal possible value for r<sub>i</sub> after the radix point. I give an extended definition of periodic numbers, and show the relationship between periodic and irrational numbers. I prove the transcendence of e by means of the factorial series and the factorial number system.展开更多
We identify a class of transcendental entire maps of finite order, of disjoint-type, satisfying the rapid derivative growth condition. Within this class, we show that there exist hyperbolic transcendental entire maps ...We identify a class of transcendental entire maps of finite order, of disjoint-type, satisfying the rapid derivative growth condition. Within this class, we show that there exist hyperbolic transcendental entire maps that generate a large class of potentials which intersect the so-called tame potentials and form a distinct class of potentials. The methods and techniques derived from the thermodynamic formalism are applied to these potentials for transcendental entire maps acting on some subset of the Julia set which is conjugated to the shift map over a code space with a countable alphabet endowed with the euclidean induced metric on the complex plane.展开更多
Transcendentalism is the most significant movement in American literature.In Little Women,"self-reliance"plays an important role in forming the theme of this novel,which is a major idea in Emerson’s Transce...Transcendentalism is the most significant movement in American literature.In Little Women,"self-reliance"plays an important role in forming the theme of this novel,which is a major idea in Emerson’s Transcendentalism.This paper intends to analyze the spirit of the March family in the view of self-reliance and gives the public a sense of love and unity,and it will make people get a better understanding of the theme.展开更多
In this paper,we consider entire solutions of higher order homogeneous differential equations with the entire coefficients having the same order,and prove that the entire solutions are of infinite lower order.The prop...In this paper,we consider entire solutions of higher order homogeneous differential equations with the entire coefficients having the same order,and prove that the entire solutions are of infinite lower order.The properties on the radial distribution,the limit direction of the Julia set and the existence of a Baker wandering domain of the entire solutions are also discussed.展开更多
This paper explores the intersection of spirituality and religion,focusing on how transcendence,secularism,and personal beliefs shape contemporary spiritual practices.It examines the philosophical foundations of trans...This paper explores the intersection of spirituality and religion,focusing on how transcendence,secularism,and personal beliefs shape contemporary spiritual practices.It examines the philosophical foundations of transcendence,the rise of existentialism,and the distinction between spirituality and religion.Secularism's role in fostering personal spirituality and reducing religious authority is discussed,alongside the psychological and societal impacts of spiritual transcendence.The paper also critiques the limitations of spirituality,emphasizing the need for a balanced approach that integrates cognitive development and mental health perspectives.展开更多
We chose a definition of heatwaves (HWs) that has ~4-year recurrence frequency at world hot spots. We first examined the 1940-2022 HWs climatology and trends in lifespan, severity, spatial extent, and recurrence frequ...We chose a definition of heatwaves (HWs) that has ~4-year recurrence frequency at world hot spots. We first examined the 1940-2022 HWs climatology and trends in lifespan, severity, spatial extent, and recurrence frequency. HWs are becoming more frequent and more severe for extratropical mid- and low-latitudes. To euphemize HWs, we here propose a novel clean energy-tapping concept that utilizes the available nano-technology, micro-meteorology knowledge of temperature distribution within/without buildings, and radiative properties of earth atmosphere. The key points for a practical electricity generation scheme from HWs are defogging, insulation, and minimizing the absorption of infrared downward radiation at the cold legs of the thermoelectric generators. One sample realization is presented which, through relay with existing photovoltaic devices, provides all-day electricity supply sufficient for providing air conditioning requirement for a residence (~2000-watt throughput). The provision of power to air conditioning systems, usually imposes a significant stress on traditional city power grids during heatwaves.展开更多
George Eliot is the most remarkable among the women novelists of the 19th century. We can find that memory plays an important role in almost all of her works. The Mill on The Floss is the best work that George Eliot e...George Eliot is the most remarkable among the women novelists of the 19th century. We can find that memory plays an important role in almost all of her works. The Mill on The Floss is the best work that George Eliot ever produced, and memory is perhaps the central element in the structure of it, acting as a means of transcending the unstructured world, in which past and present are unified. It can also place the individual in contact with the felt experience of the past, and allow an individual to act in accordance with his whole experience.展开更多
A penetrating analysis into Hawthorne's writings of different periods and different angles brings us not only an astonishment at his unique understanding of evil, but also a definite awareness of his opposite but ...A penetrating analysis into Hawthorne's writings of different periods and different angles brings us not only an astonishment at his unique understanding of evil, but also a definite awareness of his opposite but staunch position as a pessimist.Meanwhile, following the discussions about Melville and other writers, his influences of pessimistic ideas and belief in evil allow of no doubt. Subsequently, through an inquisition to the roots of this tragic attitude, his standpoint is found to be inevitable.展开更多
The lyrics of transcendence by William Butler Yeats is to a greatextent a comprehensive interpretation of Yeats' views on poet ics and life.According to Yeats,transcendence is essentially a cold,lofty wisdom with ...The lyrics of transcendence by William Butler Yeats is to a greatextent a comprehensive interpretation of Yeats' views on poet ics and life.According to Yeats,transcendence is essentially a cold,lofty wisdom with which human beings could transcend their innate limitations,incompleteness as well as the secularities of existence,therefore achieving the mastery over one's fate.The thematic study of Yeats' lyrics of transcendence offers an unique approach to Yeats' philosophy in art and life.展开更多
It is true that some important feminist literary theories apply to Hotel du Lac,which illustrates clearly Brookner’s deep concern over modern women’s predicament in favor of their interests,and thus proves her stron...It is true that some important feminist literary theories apply to Hotel du Lac,which illustrates clearly Brookner’s deep concern over modern women’s predicament in favor of their interests,and thus proves her strong tendency to feminism.And then it is pointed out that the reason for Brookner’s perverse attitude toward feminism mainly lies in her unwillingness to confine herself to the category of feminism and actually Brookner has transcended the more stereotypical feminism.展开更多
In this paper, we investigate the well-known problem of a finite width strip with a single edge crack, which is useful in basic engineering and material science. By extending the configuration to a two-dimensional dec...In this paper, we investigate the well-known problem of a finite width strip with a single edge crack, which is useful in basic engineering and material science. By extending the configuration to a two-dimensional decagonal quasicrystal, we obtain the analytic solutions of modesⅠand Ⅱ using the transcendental function conformal mapping technique. Our calculation results provide an accurate estimate of the stress intensity factors K_Ⅰ and K_Ⅱ, which can be expressed in a quite simple form and are essential in the fracture theory of quasicrystals. Meanwhile, we suggest a generalized cohesive force model for the configuration to a two-dimensional decagonal quasicrystal. The results may provide theoretical guidance for the fracture theory of two-dimensional decagonal quasicrystals.展开更多
文摘Let f and g be two permutable transcendental entire functions. In this paper, we first prove that J(fg)=J(f n g m) for any positive integers n and m . Then we prove that the function h(p(z))+az ∈/ B , where h(z) is any transcendental entire function with h′(z)=0 having infinitely many solutions, p(z) is a polynomial with deg p ≥2 and a(≠0) ∈ C .
文摘Emily Dickinson is one of the most widely read and well-known American poets. Although there were just seven poems published during her lifetime, she was brought to many people's attention. Some people believe that Dickinson is a real romantic but others think she is a transcendentalist. However, both the factors of romanticism and transcendentalism can be seen in her character indeed. Romantic factors include individualism in her personality and her escaping from society. Transcendental factors are oversoul and mysticalness. If all the factors are taken into account, Emily Dickinson can fall into the category of both romanticism and transcendentalism.
文摘Suppose that f and g are two transcendental entire functions, and h is a non-constant periodic entire function. We denote the Julia set and Fatou set off by J（f） and F（f）, respectively, lffand g are semiconjugated, that is, h · f = g · h, in this paper, we will show that z ∈ J（f） if and only if h（z） ∈ J（g） （ similarly, z F（f） if and only ifh（z） ∈ F（g））, and this extends a result of Bergweiler.
文摘Let fμ(z)=z·ep(z)+μ with p(z) being real coefficient polynomial and it's leading coefficient be positive, μ∈R+, when p(z) and μ satisfy two certain conditions, buried point set of fμ(z) contains unbounded positive real interval.
文摘Let f be a meromorphic function in C. If the order of f is greater than 2,has finitely many zeros and f takes a non-zero finite value finitely times, and then ?is unbounded.
文摘In addition to recognizing well-being as a multidimensional construct,the potential indicators of well-being also have been recognized as multivariate.Specifically,some recent studies have suggested that various indices of social beliefs,religious attitudes and spiritual practices have been said to be robustly associated with well-being.Therefore,given the overwhelming need for promoting well-being and an increasing recognition of the multivariate indicators of well-being,this research project attempted to evaluate the relation of Qi,karma,transcendental experiences,and spiritual practices with the subjective well-being of people in Taiwan.The relevant data from the national sample of 1,933 participants were subjected to factor analysis to extract relevant factors,which included social and religious attitudes of karma and Qi,spiritual indicators of transcendental experiences and spiritual practices,and positive indicators of subjective well-being.In addition to significant intercorrelations,the hierarchical regression analyses after controlling for demographics suggested that Qi had the highest contribution to subjective well-being,followed by spiritual practices,karma,and transcendental experiences.These results are discussed,their implications are elucidated,and the directions for future research are suggested.
文摘In 1958, Baker posed the question that if f and g are two permutable transcendental entire functions, must their Julia sets be the same? In order to study this problem of permutable transcendental entire functions, by the properties of permutable transcendental entire functions, we prove that if f and g are permutable transcendental entire functions, then mes (J(f)) = mes (J(g)). Moreover, we give some results about the zero measure of the Julia sets of the permutable transcendental entire functions family.
文摘Related to the basic features of Emerson＇s theories of Transcendentalism, the exploration of the novel in this thesis goes on three aspects. First, Bellow＇s concept of nature adopted in this novel is an expression of transcendental notion of nature. Secondly, in Henderson the Rain King Bellow also inherits the legacy of American transcendentalism as the emphasis of spirit or the oversoul. Thirdly, Bellow values individuality as highly as his literary predecessor Emerson did, however, in this novel he discards individualism. As Bellow＇s first mature novel, Henderson the Rain King reflects Bellow＇s attitude toward the tradition of American Transcendentalism： acceptance and surpass.
文摘The main aim of the article is to investigate the irrational and transcendental properties of certain real numbers by means of the factorial series and the factorial number system. The difference between the factorial series and the factorial system is that the factorial series does not set an upper bound at a given place after the radix point, while in the factorial system (i – 1) is the maximal possible value for r<sub>i</sub> after the radix point. I give an extended definition of periodic numbers, and show the relationship between periodic and irrational numbers. I prove the transcendence of e by means of the factorial series and the factorial number system.
文摘We identify a class of transcendental entire maps of finite order, of disjoint-type, satisfying the rapid derivative growth condition. Within this class, we show that there exist hyperbolic transcendental entire maps that generate a large class of potentials which intersect the so-called tame potentials and form a distinct class of potentials. The methods and techniques derived from the thermodynamic formalism are applied to these potentials for transcendental entire maps acting on some subset of the Julia set which is conjugated to the shift map over a code space with a countable alphabet endowed with the euclidean induced metric on the complex plane.
文摘Transcendentalism is the most significant movement in American literature.In Little Women,"self-reliance"plays an important role in forming the theme of this novel,which is a major idea in Emerson’s Transcendentalism.This paper intends to analyze the spirit of the March family in the view of self-reliance and gives the public a sense of love and unity,and it will make people get a better understanding of the theme.
基金supported partly by the National Natural Science Foundation of China(11926201,12171050)the National Science Foundation of Guangdong Province(2018A030313508)。
文摘In this paper,we consider entire solutions of higher order homogeneous differential equations with the entire coefficients having the same order,and prove that the entire solutions are of infinite lower order.The properties on the radial distribution,the limit direction of the Julia set and the existence of a Baker wandering domain of the entire solutions are also discussed.
文摘This paper explores the intersection of spirituality and religion,focusing on how transcendence,secularism,and personal beliefs shape contemporary spiritual practices.It examines the philosophical foundations of transcendence,the rise of existentialism,and the distinction between spirituality and religion.Secularism's role in fostering personal spirituality and reducing religious authority is discussed,alongside the psychological and societal impacts of spiritual transcendence.The paper also critiques the limitations of spirituality,emphasizing the need for a balanced approach that integrates cognitive development and mental health perspectives.
文摘We chose a definition of heatwaves (HWs) that has ~4-year recurrence frequency at world hot spots. We first examined the 1940-2022 HWs climatology and trends in lifespan, severity, spatial extent, and recurrence frequency. HWs are becoming more frequent and more severe for extratropical mid- and low-latitudes. To euphemize HWs, we here propose a novel clean energy-tapping concept that utilizes the available nano-technology, micro-meteorology knowledge of temperature distribution within/without buildings, and radiative properties of earth atmosphere. The key points for a practical electricity generation scheme from HWs are defogging, insulation, and minimizing the absorption of infrared downward radiation at the cold legs of the thermoelectric generators. One sample realization is presented which, through relay with existing photovoltaic devices, provides all-day electricity supply sufficient for providing air conditioning requirement for a residence (~2000-watt throughput). The provision of power to air conditioning systems, usually imposes a significant stress on traditional city power grids during heatwaves.
文摘George Eliot is the most remarkable among the women novelists of the 19th century. We can find that memory plays an important role in almost all of her works. The Mill on The Floss is the best work that George Eliot ever produced, and memory is perhaps the central element in the structure of it, acting as a means of transcending the unstructured world, in which past and present are unified. It can also place the individual in contact with the felt experience of the past, and allow an individual to act in accordance with his whole experience.
文摘A penetrating analysis into Hawthorne's writings of different periods and different angles brings us not only an astonishment at his unique understanding of evil, but also a definite awareness of his opposite but staunch position as a pessimist.Meanwhile, following the discussions about Melville and other writers, his influences of pessimistic ideas and belief in evil allow of no doubt. Subsequently, through an inquisition to the roots of this tragic attitude, his standpoint is found to be inevitable.
文摘The lyrics of transcendence by William Butler Yeats is to a greatextent a comprehensive interpretation of Yeats' views on poet ics and life.According to Yeats,transcendence is essentially a cold,lofty wisdom with which human beings could transcend their innate limitations,incompleteness as well as the secularities of existence,therefore achieving the mastery over one's fate.The thematic study of Yeats' lyrics of transcendence offers an unique approach to Yeats' philosophy in art and life.
文摘It is true that some important feminist literary theories apply to Hotel du Lac,which illustrates clearly Brookner’s deep concern over modern women’s predicament in favor of their interests,and thus proves her strong tendency to feminism.And then it is pointed out that the reason for Brookner’s perverse attitude toward feminism mainly lies in her unwillingness to confine herself to the category of feminism and actually Brookner has transcended the more stereotypical feminism.
基金supported by the National Natural Science Foundation of China(Grant No.10802043)
文摘In this paper, we investigate the well-known problem of a finite width strip with a single edge crack, which is useful in basic engineering and material science. By extending the configuration to a two-dimensional decagonal quasicrystal, we obtain the analytic solutions of modesⅠand Ⅱ using the transcendental function conformal mapping technique. Our calculation results provide an accurate estimate of the stress intensity factors K_Ⅰ and K_Ⅱ, which can be expressed in a quite simple form and are essential in the fracture theory of quasicrystals. Meanwhile, we suggest a generalized cohesive force model for the configuration to a two-dimensional decagonal quasicrystal. The results may provide theoretical guidance for the fracture theory of two-dimensional decagonal quasicrystals.
