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A Class of Potentials for Hyperbolic Transcendental Entire Maps
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作者 Irene Inoquio-Renteria 《Advances in Pure Mathematics》 2023年第8期483-494,共12页
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
关键词 Thermodynamic Formalism Entire transcendental Functions Tame Potentials
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Finite Type Transcendental Entire Functions Whose Buried Points Set Contains Unbounded Positive Real Interval
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作者 Feng Guo 《Advances in Pure Mathematics》 2014年第5期209-212,共4页
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
关键词 transcendental Entire Functions Julia SET BURIED POINTS SET Real INTERVAL
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Transcendental Meromorphic Functions Whose First Order Derivatives Have Finitely Many Zeros
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作者 Feng Guo 《Advances in Pure Mathematics》 2019年第11期925-933,共9页
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.
关键词 transcendental MEROMORPHIC Functions DERIVATIVES ZEROS
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The Lebesgue Measure of the Julia Sets of Permutable Transcendental Entire Functions
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作者 Cunji Yang Shaomin Wang 《Advances in Pure Mathematics》 2022年第9期526-534,共9页
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
关键词 transcendental Entire Function Permutable Functions Random Dynamics Julia Set Lebesgue Measure
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The Factors of Both Romanticism and Transcendentalism in Emily Dickinson's Character
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作者 刘吉俊 《海外英语》 2013年第16期232-233,共2页
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
关键词 EMILY DICKINSON CHARACTER ROMANTICISM transcendent
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Self-Reliance of Transcendentalism in Little Women
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作者 周双 《海外英语》 2013年第20期11-14,共4页
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
关键词 LITTLE WOMEN transcendentalISM SELF-RELIANCE
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A Quantitative Evaluation of Vector Transcendental Functions on ARMv8-Based Processors
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作者 沈洁 龙标 黄春 《Journal of Computer Science & Technology》 SCIE EI CSCD 2023年第3期686-701,共16页
Transcendental functions are important functions in various high performance computing applications.Because these functions are time-consuming and the vector units on modern processors become wider and more scalable,t... Transcendental functions are important functions in various high performance computing applications.Because these functions are time-consuming and the vector units on modern processors become wider and more scalable,there is an increasing demand for developing and using vector transcendental functions in such performance-hungry applications.However,the performance of vector transcendental functions as well as their accuracy remain largely unexplored.To address this issue,we perform a comprehensive evaluation of two Single Instruction Multiple Data(SIMD)intrinsics based vector math libraries on two ARMv8 compatible processors.We first design dedicated microbenchmarks that help us understand the performance behavior of vector transcendental functions.Then,we propose a piecewise,quantitative evaluation method with a set of meaningful metrics to quantify their performance and accuracy.By analyzing the experimental results,we find that vector transcendental functions achieve good performance speedups thanks to the vectorization and algorithm optimization.Moreover,vector math libraries can replace scalar math libraries in many cases because of improved performance and satisfactory accuracy.Despite this,the implementations of vector math libraries are still immature,which means further optimization is needed,and our evaluation reveals feasible optimization solutions for future vector math libraries. 展开更多
关键词 transcendental function vector math library piecewise quantitative evaluation microbenchmarking ARMv8-based processor
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ENTIRE SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS HAVING THE SAME ORDER
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作者 冯子恒 黄志波 李叶舟 《Acta Mathematica Scientia》 SCIE CSCD 2024年第1期355-368,共14页
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
关键词 entire solutions radial order Julia limiting direction Baker wandering domain transcendental direction
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Entire Solutions of Differential Equations with Finite Order Transcendental Entire Coefficients 被引量:5
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作者 Chen Zongxuan Gao Shian Department of Mathematics, Jiangxi Normal University. Nanchang 330027, China Department of Mathematics, South China Normal University, Guangzhou 510631. China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1997年第4期453-464,共12页
In this paper, we investigate the complex oscillation of the differential equation f<sup>k</sup>+A<sub>k-1</sub>f<sup>k-1</sup>+…+A<sub>O</sub>f=F where A<sub>k-1... In this paper, we investigate the complex oscillation of the differential equation f<sup>k</sup>+A<sub>k-1</sub>f<sup>k-1</sup>+…+A<sub>O</sub>f=F where A<sub>k-1</sub>.…, A<sub>o</sub> F 0 are finite order transcendental entire functions, such that there exists an A<sub>d</sub>(0≤d≤k-1) being dominant in the sense that either it has larger order than any other A<sub>j</sub>(j=0.…. d-l. d+l.…. k-1), or it is the only transcendental function. We obtain some precise estimates of the exponent of convergence of the zero-sequence of solutions to the above equation. 展开更多
关键词 Non-homogeneous linear differential equation transcendental entire function Zerosequence Exponent of convergence Order of growth
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The Dynamics of Semigroups of Transcendental Meromorphic Functions 被引量:3
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作者 黄志刚 《Tsinghua Science and Technology》 SCIE EI CAS 2004年第4期472-474,共3页
This paper considers the dynamics associated with an arbitrary semigroup of transcendental meromorphic functions. Fatou-Julia theory was used to investigate the dynamics of these semigroups. Some results of the dynami... This paper considers the dynamics associated with an arbitrary semigroup of transcendental meromorphic functions. Fatou-Julia theory was used to investigate the dynamics of these semigroups. Some results of the dynamics of a rational mapping on the Riemann sphere were extended to the case. 展开更多
关键词 SEMIGROUP DYNAMICS transcendental entire function
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Transcendental Meromorphic Solutions of Second-Order Algebraic Differential Equations 被引量:5
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作者 Hai Chou LI Ling Yun GAO 《Journal of Mathematical Research and Exposition》 CSCD 2011年第3期497-502,共6页
Using Nevanlinna theory of the value distribution of meromorphic functions,we discuss some properties of the transcendental meromorphic solutions of second-order algebraic differential equations,and generalize some re... Using Nevanlinna theory of the value distribution of meromorphic functions,we discuss some properties of the transcendental meromorphic solutions of second-order algebraic differential equations,and generalize some results of some authors. 展开更多
关键词 meromorphic functions transcendental meromorphic solutions second-order algebraic differential equations.
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Bounded Fatou Components of Transcendental Entire Functions with Order Less than 1/2 被引量:2
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作者 Cun Ji YANG Yu Hua LI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第4期647-658,共12页
Let f be a transcendental entire function with order ρ 〈 1/2 and let a be a sufficiently large constant. We prove that if there exists r0 〉 1 such that, for all r 〉 r0 and any small ε 〉0,M(r^σ,f)≥M(r,f)σ... Let f be a transcendental entire function with order ρ 〈 1/2 and let a be a sufficiently large constant. We prove that if there exists r0 〉 1 such that, for all r 〉 r0 and any small ε 〉0,M(r^σ,f)≥M(r,f)σ+ε.then every component of the Fatou set F(f) is bounded. 展开更多
关键词 transcendental entire function small growth Fatou component BOUNDED
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Husserl's Legacy:Phenomenology,Metaphysics and Transcendental Philosophy 被引量:2
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作者 Dan Zahavi LUO Zhida 《Frontiers of Philosophy in China》 2020年第3期532-539,共8页
With a dozen influential publications,Professor Dan Zahavi has established himself as a world-leading interpreter of Husserl and a pioneering scholar working at the intersection between phenomenological philosophy and... With a dozen influential publications,Professor Dan Zahavi has established himself as a world-leading interpreter of Husserl and a pioneering scholar working at the intersection between phenomenological philosophy and empirical research such as cognitive sciences,altruistic study,and nursing study.On the one hand,with the book Husserl and Transcendental Intersubjectivity(2001),Zahavi provides an in-depth interpretation of Husserfs theory of intersubjectivity and defends his transcendental approach against the widespread Schutzian critique that takes his theory to be an unfortunate philosophical failure. 展开更多
关键词 METAPHYSICS THEORY transcendental
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Design of a reconfigurable transcendental function generator
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作者 Jiang Lin Lü Qing +2 位作者 Xie Xiaoyan Shan Rui Deng Junyong 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 2017年第1期96-102,共7页
In order to take into account the computing efficiency and flexibility of calculating transcendental functions, this paper proposes one kind of reconfigurable transcendental function generator. The generator is of a r... In order to take into account the computing efficiency and flexibility of calculating transcendental functions, this paper proposes one kind of reconfigurable transcendental function generator. The generator is of a reconfigurable array structure composed of 30 processing elements (PEs). The coordinate rotational digital computer (CORDIC) algorithm is implemented on this structure. Different functions, such as sine, cosine, inverse tangent, logarithmic, etc., can be calculated based on the structure by reconfiguring the functions of PEs. The functional simulation and field programmable gate array (FPGA) verification show that the proposed method obtains great flexibility with acceptable performance. 展开更多
关键词 reconfigurable computing reconfigurable transcendental function generator CORDIC array processor
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Discrepancy of Certain Kronecker Sequences Concerning Transcendental Numbers
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作者 Yao Chen ZHU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第10期1897-1902,共6页
Let ω1,..., ωs be a set of real transcendental numbers satisfying a certain Diophantine inequality. The upper bound for the discrepancy of the Kronecker sequence ({nω1},..., {nωs})(1 ≤ n ≤ N) is given. In pa... Let ω1,..., ωs be a set of real transcendental numbers satisfying a certain Diophantine inequality. The upper bound for the discrepancy of the Kronecker sequence ({nω1},..., {nωs})(1 ≤ n ≤ N) is given. In particular, some low-discrepancy sequences are constructed. 展开更多
关键词 DISCREPANCY Kronecker-sequence transcendental number
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TO DETERMINE THAT ALL THE ROOTS OF A TRANSCENDENTAL POLYNOMIAL HAVE NEGATIVE REAL PARTS
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作者 Hu Bo 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1997年第3期373-392,共20页
A transcendental polynomial which has all its roots lying in the left half plane is called stable. In this paper, the stability of transcendental polynomials which are nearly as general as those discussed by L. S. Po... A transcendental polynomial which has all its roots lying in the left half plane is called stable. In this paper, the stability of transcendental polynomials which are nearly as general as those discussed by L. S. Pontryagin are investigated through direct analytic method.For application of the method presented in this paper, the asymptotic stability of some differential-difference equations is investigated. 展开更多
关键词 transcendental polynomial Direct analytic method Asymptotic stability
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On the Issues of Transcendental Argument
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作者 CHEN Jiaming 《Frontiers of Philosophy in China》 2012年第2期255-269,共15页
The transcendental approach initiated by Immanuel Kant and Peter Strawson has been the most representative contemporary exponent of this line of thinking. Barry Stroud understands this form of transcendental argument ... The transcendental approach initiated by Immanuel Kant and Peter Strawson has been the most representative contemporary exponent of this line of thinking. Barry Stroud understands this form of transcendental argument as relying on an empirical "verification principle" and hence he rejects it as unnecessary. Nevertheless, Stroud's view is only warranted to a certain extent. In some non-empirical objective spheres, including concepts and propositions as regards general metaphysics, moral metaphysics and philosophy of religion, the transcendental approach is still necessary. In terms of quality, transcendental approach belongs to "conceptual argumentation," which differs from experience and logic with the fundamental characteristic of setting up a theoretical antecedent before further inquiry at the level of doctrine, i.e., concepts. 展开更多
关键词 transcendental argument METAPHYSICS Kant STRAWSON
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Transcendental Numbers
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作者 林自新 《中学生数学(初中版)》 2005年第11期41-41,共1页
One would think that mathernatieians had deal with all the different kinds of nurnbers there were一integers,fraetions,negative num- bers,irrational numbers,imaginary numbers, what else eould there be? In 1744,the Swiss
关键词 transcendental Numbers
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An Introduction to the Theory of Field Extensions
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作者 Saviour Chibeti Iness Kyapwanyama +1 位作者 Henry M. Phiri Jeromy Kalunga 《Advances in Pure Mathematics》 2023年第2期103-132,共30页
This paper unfolds and reviews the theory of abstract algebra, field extensions and discusses various kinds of field extensions. Field extensions are said to be algebraic or transcendental. We pay much attention to al... This paper unfolds and reviews the theory of abstract algebra, field extensions and discusses various kinds of field extensions. Field extensions are said to be algebraic or transcendental. We pay much attention to algebraic extensions. Finally, we construct finite extensions of Q and finite extensions of the function field over finite field F<sub>p </sub>using the notion of field completion, analogous to field extensions. With the study of field extensions, considering any polynomial with coefficients in the field, we can find the roots of the polynomial, and with the notion of algebraically closed fields, we have one field, F, where we can find the roots of any polynomial with coefficients in F. 展开更多
关键词 Fields Extension Fields Algebraic and transcendental Extension Algebraic Closure Algebraically Closed Field Absolute Value COMPLETION P-Adic Field and Field of Formal Laurent Series
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A Review of Hawthorne: A New Voice of American Pessimistic Humanism in 19^(th) Century
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作者 陶思 《海外英语》 2016年第18期168-169,共2页
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
关键词 Pessimistic EVIL transcendentalISM VOICE
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