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map     
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  地图
    SCALE AND ANALYSIS OF MAP SYMBOLS OF SOCIAL ECONOMY STATICAL INDEXES
    社会经济统计指标的地图符号标度与分析
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    The Colouring and Algorithm of MAP Problem
    地图的着色及着色算法
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    An Approach for Constructing 3-Connected Non-Hamiltonian Cubic Map on Surfaces
    曲面上构造三次3-连通非Hamiltonian地图的一种方法(英文)
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    A Model of Knowledge Map based on Concept Clustering for Knowledge Sharing
    一种基于概念聚类的知识地图模型
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    Hilbert and CohnVossen posed the thread problem and had it related to the Heawood map color conjecture.
    Hilbert和Cohn Vossen提出过引线问题并将它与Heawood的地图着色猜想联系[2].
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  映射
    Some Results on Harmonic Map between Riemann-Finsler Manifolds
    Riemann-Finsler几何中的调和映射及有关问题
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    Transversality Theorem of Map
    映射的横截性定理
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    THE MAP FORM OF GOAL PROGRAMMING ALGORITHM
    目标规划算法的映射变换形式
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    On the Finite-Sheeted Covering Map
    关于有限层覆迭映射
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    A Problem on the Existence of Periodic Orbit of Continuous Map in Banach Space
    关于Banach空间中连续自映射周期轨道存在问题
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  映象
    The Study of Spatiotemporal Chaos in Coupled Acousto-Optical Bistable and Phase Conjugation Map Lattices Models
    声光双稳态和相位共轭波耦合映象格子模型时空混沌的研究
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    The Recent Results of Hénon Map
    Hénon映象的最新进展
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    The Power Spectrum of Chaos Motion in One-Dimensional Unimodal Map
    一维单峰映象中混沌运动的功率谱
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    Correlation and Memory Functions of Chaos Motion for One-Dimensional Unimodal Map
    一维单峰映象中混沌运动的关联函数与记忆函数
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    FRACTAL BASIN BOUNDARY OF A TWO DIMENSION CUBIC MAP
    二维立方映象的分形流域边界
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  地形图
    The plot point plate was designed as a new tool of plotting topographical map by author, when this plate was used in combination with electronic calculator, it has a great many advantages, such as quick-speed, high drawing accuracy and convenience to use and so on.
    展点板是作者设计的一种施测地形图的新工具,用该板与电标器结合使用,具有精度高、速度快、应用方便等。
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    This paper uses a width-independent fast algorithm to thin topographic maps and then transfers the data of topographic map into the file which can be recognized by AutoCAD.
    本文从扫描仪扫描的地形图数据开始,利用一种独立宽度的快速细化算法对图象进行细化,最终将地形图数据转换成AutoCAD可使用的图形文件。
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    We define a map from an affine Weyl group to the set of conjugacy classes of an ordinary Weyl group.
          
    We show that they are induced by automorphisms ofG and that a surjective holomorphic self-map can be nonbijective only in the directions of the nilradical ofG.
          
    We modify the Hochschild φ-map to construct central extensions of a restricted Lie algebra.
          
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    Let f(z)=z+sum from n=2 to ∞ a_nz~n be regular and schlicht in the unit circle. M. Schiffer proved that the function w=f(z) in the class of such functions, which renders |a_κ| the maximum, maps |z|<1 onto the whole W-plane with a finite number of analytic cuts. For the cases k=4 and k=5 Schaeffer-Spencer [3] and Golusin [5] proved respectively that there is only one cut for the extremal domain. The principal object of the present paper is to show that the same thing holds true for the cases k=6 and k=7....

    Let f(z)=z+sum from n=2 to ∞ a_nz~n be regular and schlicht in the unit circle. M. Schiffer proved that the function w=f(z) in the class of such functions, which renders |a_κ| the maximum, maps |z|<1 onto the whole W-plane with a finite number of analytic cuts. For the cases k=4 and k=5 Schaeffer-Spencer [3] and Golusin [5] proved respectively that there is only one cut for the extremal domain. The principal object of the present paper is to show that the same thing holds true for the cases k=6 and k=7. Our proof depends upon the following lemmas: Lemma A. If{f(z)~2}_6=0; then |a_2|<1.63; and if {f(z)~2}_7=0; then |a_2|<1.77; Where {g(z)}_n denotes g~((n))(0). Lemma B. If |a_6|≥6 and {f(z)~2}6=0, than |a_2|>1.95, If |a_7|≥7 and {f(z)~2}_7=0, then |a_2|>1.85. Using merely the method of variation, without appealing to L(?)wner's method as done by M. Fekete and G. Szeg [6], we can prove the known theorem that (?)|a_3-αa_2~2|=1+2 exp(-2α/(1-α))(0≤α<1) with the "uniqueness" of the extremal function. For the functions f(z) satisfying the pair of conditions R(a_3)>0 and R(a_2)<0, we can pnove that the greatest value of R(a_2+a_3)is 1.03…,and that the correspondiong extremal function is of real coefficients.

    S表示單位圆|z|<1上單葉且正則的函數 f(z)=z+α_2z~2+α_3z~3+… (1.1)的全體所成之族。設S′是S的一個子族,S′中任一函數满足條件 R(α_3)>0,R(α_2)<0。對於S′中的函數,本文證明R(α_2+α_3)之最大值是可以達到的,其值是1.03…。達到此值的極值函數的一切係數都是實數,極值函數只有一個。舍勾和飛克得[6]謝缶和斯賓塞爾[3]以及沙拉烏洛夫先後用樓五納的參數表示法和變分法,求出 |a_3-αa_2~2|(0≤α<1)的值,並指出達到此值的極值函數的一切係數都是實數,而且極值函數只有一個。本篇僅用變分法来建立他們的定理。惜缶[4]指出使|a_n|達到最大值的函數(1.1),其映象區域的境界是一組伸展到無窮遠處的解析若當曲綫。謝缶和斯賓塞爾[3],戈魯辛[5]分別證明對於|a_4|和|a_5|的極值區域,其境界綫只有一根。本篇對於|a_6|和|a_7|證明同樣的事實。證明是靠着如下的引理:

    In this paper, we give some results about the complete continuity of the Polynomial operators together with the analytical operators. As its application we consider the Liapunof-Lichtenstein operators. The main results are: Th. 2 completely continuous in some spher if and only if for every n, unx~n completely continuous. Th. 6. unx~n completely continuous if and only if un(x_1,…,x_n)completely continuous in n Variables. Th. 8 If kn(s,t_1,…,t_n)measurable, symtritical respect t_1…,t_n and maps completely...

    In this paper, we give some results about the complete continuity of the Polynomial operators together with the analytical operators. As its application we consider the Liapunof-Lichtenstein operators. The main results are: Th. 2 completely continuous in some spher if and only if for every n, unx~n completely continuous. Th. 6. unx~n completely continuous if and only if un(x_1,…,x_n)completely continuous in n Variables. Th. 8 If kn(s,t_1,…,t_n)measurable, symtritical respect t_1…,t_n and maps completely continuous in its definite area.

    本文考虑B型空间x入z解析算子其中u_n是有界对称n线性算子,设P_u为后端一级数的一致收歙半径第一部分证明了以下两个主要结论: 定理:F(x)在内完全连续的必要且充分条件为对任何n=0.1,2,……,u_nx~n完全连续。定理:u_nx~n完全连续的必要且充分条件为u_n(x_1,…,x_n)按n变元完全连续。作为以上结论的应用,第二部分讨论求得F(x)映 P_1(G)入 P_2(G)完全连续的条件。

    Let X denote a reflexive Banach space, X~* its dualspace. Let A, B betwo monotone mappings from X to 2~(X*). The purpose of this paper is to con-sider the relation between R(A + B) and R(A) + R(B), and by means of theresult on R(A + B) R(A) + R(B) to consider the existence of solution in Xon a class of nonlinenr integral equations of abstract Urysohn type: Defintion 1. Let X be a real Banach space, and A: X→2~* a monotonemapping. We say that A has the property(* ),if for every f∈R(A), y∈D(A),we have Definition...

    Let X denote a reflexive Banach space, X~* its dualspace. Let A, B betwo monotone mappings from X to 2~(X*). The purpose of this paper is to con-sider the relation between R(A + B) and R(A) + R(B), and by means of theresult on R(A + B) R(A) + R(B) to consider the existence of solution in Xon a class of nonlinenr integral equations of abstract Urysohn type: Defintion 1. Let X be a real Banach space, and A: X→2~* a monotonemapping. We say that A has the property(* ),if for every f∈R(A), y∈D(A),we have Definition 2. Let A, B: X→2~* be two monotone mappings. We sayR(A + B) R(A) + R(B), if R(A+B)= R(A)+R(B), and IntR(A+ B) = Int[R(A)+ R(B)]. The following results are proved. Theorem 1. Let X be a reflexive Banach space,and A,B: X→2~(X~*) be twomonotone mappings such that their sum A + B is a maximal monotone mapp-ing. Suppose that B has the property(* ), and D(A) D(B), then R(A +B)R(A) + R(B). Theorem 2. Let X be a reflexive Banach spacc, F: X→2~* and K :X~*→2~X bemaximal monotone mapings, and D(F) = X, D(K) = X~*. Suppose that F orK has the property(* ), then for any. f∈X, the integral equation of Ham- u + KFu fhas at least one solution in X. Theorem 3. Let X be a reflexive Banach space, X~* its dual space.Suppose that each K_j: X~*→X is a maximal monotone mapping with the pro-perty(* ), and D(K_j) = X~*, j = 1, …n. Suppose further that each F_jX: →X~* ishemicontinuous, and that Vu_j, v_J∈X, j = 1,…n, satisfies the conditionwhere u= v=. Then the equation (1) has at least one solutionThen the equation (1) has at least one solutionin X for any v∈X. Theorem 4. Suppose conditions on X, X~*, K_j and F_j as mentioned intheorem 3. Furthermore, suppose that there exists a function C_1(u_1, …, u_n;v_1,…,v_n) for any u_1,… ,u_n; v_1,…v_n in X such that satisfies the conditionfor any w_j∈X, j= 1,…, n, then the equationhas at least one solution in X for any w∈X. Theorem 5. Let X be a Banach space,C~* its a dual space. Suppose thatK_j: X→X~* is a hemicontnuous operator which maps bounded sets into weaklycompact sets, where D(K_j)=X, j=1…, n. Furthermore, suppose there existsσ>0 such that for any triple of n- uiples [U_1~* ,…, U_n~*], [v_1~*, …,v_n~*], [w_1~*,…,w_n~*]in X, satisfies following condition whereu~*= v~*= w~*=. Then the equation u~*+ = w~*.has at least one solution in X~* for any w~*∈X*. Our theorems are generalizations of corresponding results belonging toH. Brezis and F.E. Browder in 1975, H. Brezis and Alain Haraux in 1976,C. P. Gupta in 1977, and P. Hess in 1971, respectively.

    本文首先把H.Brezis和Alain Haraux关于Hilbert空间内两个单调映射之和值域的结果推广到自反Banach空间。然后用此结果研究一类Urysohn型非线性积分方程我们改进了H.Brezis和F.E.Browder的定理1,C.P.Gupta的定理4及定理5,及P.Hess[8]的结果。

     
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