存在與唯一 的英文怎麼說

By means of constructional iterative equation, this paper presents a way to give out the existence and singularity of a type of equational root with gradual approach method

摘要本文通過構造迭代函數，利用逐次逼近的方法給出了一類方程根的存在性與唯一性的判斷的一種解決方案。

It consider the resolution of isotonic regression by view of constraint optimization, and it also presents the relation between isotonic regression and mle in detail. 2

從約束最優化的觀點了證明了保序回歸解的唯一存在性，並詳細地給出了保序回歸與最大似然估計之間的關系。

The hyperbolic conservation laws with relaxation appear in many physical systems such as nonequilibrium gas dynamics, flood flow with friction, magnetohydrodynamics, etc. firstly, the thesis proves that there exists a unique global smooth solution for the cauthy problem to the hyperbolic conservation laws system with relaxation ; secondly, in the large time station, the thesis proves that the global smooth solutions of the hyperbolic conservation laws system with relaxation converge to rarefaction waves solution at a determined l ( p > 2 ) decay rate

帶鬆弛項的雙曲型守恆律組出現在諸多的物理系統中。例如，非平衡態的氣體動力學、帶摩擦的水流、磁動力學等。本文首先證明，帶鬆弛項的雙曲型守恆律組的柯西問題的整體光滑解的存在唯一性；其二，證明了帶鬆弛項的雙曲型守恆律組的解與相應的平衡態守恆律的稀疏波解在大時間狀態下的l ~ p衰減率。

On existence and uniqueness of periodic solution of li nard equation

方程周期解的存在性與唯一性

Asparagus persicus baker grows only under the canopy of the senescent tamarix sp. hinting that the development of t. sp. provides the usable environments for a. persicus baker

西北天門冬：調查中發現的唯一一種耐鹽的層間植物，僅見于衰退的檉柳冠內。提示檉柳的存在與生長狀況可以為西北天門冬的生長提供適宜的條件。

Reveals the objective necessity of the sole existence of absolute reference system 0 : the effect of clock losing and ruler contracting of any material system in motion with respect to 0 is the objective real physical change ( the real effect ) of this material system in motion, and the physical time and space ( the effect of motion ) is the unity of opposites between the external form of relativity correctly described by the special theory of relativity and the absolute internal essence with the objective sole existence of 0 as the basic marking, points out the errors of the general theory of relativity from the results above and the basic facts of gravitational field, and expounds the gravitational field is a real - time hollow field of motion in essence, and the physical time and space is the unity of opposites between mutually perpendicular images of void and real time and space of 4 dimensions each, understanding the absolute essence of the lorenz effect or not is the demarcation line between new and old views of time and space, and sets forth the theoretical gist of the time and space views of unity of opposites and the internal unity among the macroscopic level and straight time and space, the bent time and space in gravitational field, and the superimposed time and space in guantum state

揭示了絕對參照系0唯一存在的客觀必然性：任何物系相對於0的「運動鐘慢、尺縮效應」 ，都是該運動物系客觀上具有蹬真正的物理變化（ 「真實效應」 ） ；進而揭示了物理時空（運動效應）是具有狹義相對論所正確描述了的相對性外部形式和以0客觀上唯一存在為基本標志的絕對性內在本質的對立統一運用上述結果和引力場的基本事實，論證了廣義相對論的錯誤；闡明了引力場本質上是一種實時虛空運動場；揭示了物理時空是互為正交映象的虛實各四維時空的對立統一闡明了對洛侖茲效應絕對性本質的認識與否，是新舊時空觀的分水嶺；闡明了對立統一時空觀的理論梗要和宏觀平直時空、引力場彎曲時空與量子態卷迭時空之間的內在統一性

E. e. enochs put forword the concepts of injective ( projective or flat ) ( pre ) cover and ( pre ) envelope in the early 1980s ", a lot of articles have studied existence and uniqueness of such ( pre ) covers and ( pre ) envelopes, the property of their kernels or cokernels, and character many special rings. moreover, if such kind of ( pre ) covers or ( pre ) envelopes exist, we can construct a complete injective ( projective or flat ) resolvent ( called resolution when exact ) and a partial injective ( projective or flat ) resolvent, and if r is a ring, we can study the relationship of its left global dimension l. d ( r ) ( or its weak dimension w ( r ) ) and the properties of syzygies ( or cosyzygies ) of a resolvent ( or resolution ), and the relationship of its left global dimension l. d ( r ) ( or its weak dimension ) and the exactness of a resolvent ( or resolution )

自八十年代初e . e . enochs首次提出並研究內射（投射、平坦） （預）蓋及內射（投射、平坦） （預）包這些概念以來，大批論文研究此類包、蓋的存在性、唯一性問題以及它們的核、上核的性質，並據此刻畫了一些常見的特殊環；更進一步地，當此類包、蓋存在時，我們可構造相應的完全投射（平坦、內射）預解式（當正合時稱為完全分解式）以及單邊投射（平坦、內射）預解式，研究了環的左（右）總體維數、弱維數與此類分解式的合沖模（或上合沖模）的性質、復形正合性之間的關系。

This paper develops a deterministic inventory model for perishable items with a mixture of back orders and lost sales under inflation and time discounting, where the backlogged demand rate is dependent on the negative inventory level during the stock out period. the main differences from the existing related models are that the present model takes the maximum present value of profit in a repeatable order cycle as the objective function and proposes a more practical constraint of maximum customer - waiting time to ensure a proper customer service level. then the existence and the uniqueness of the solution to relevant systems are examined and a solution algorithm is shown to find the optimal replenishment policy. at last, some numerical examples are presented to illustrate the applicatioh of the model

本文建立了一種考慮通貨膨脹與時間價值的變質性物品的庫存模型，在模型中允許短缺發生且拖后的需求速率與在缺貨期間已經發生的缺貨量有關.和已有相關模型的主要區別在於本模型把一個可重復的訂貨周期內的最大平均利潤的凈現值作為目標函數，且增加了在缺貨期間最長顧客等待時間的限制，以確保庫存系統擁有較高的服務水平.然後討論了模型最優解的存在性與唯一性，並提供了尋求模型整體最優解的演算法.最後用實例說明了此模型在實際中的應用

The existence and uniqueness of weak solution for a viscous laplacian equation

方程弱解的存在性與唯一性

Existence and uniqueness of periodic solutions of an equation of duffing type

方程周期解的存在性與唯一性

For, contrary to the semi - deification of the historical buddha by northern buddhism into a kind of metaphysical essence manifesting itself in a threefold manner1 strongly suggestive of the christian trinity, southern buddhism insists that the buddha is essentially ideal man and flatly denies the existence of a supreme god in any form whatsoever

與北傳佛教將歷史上的佛陀半神化為超自然存在並以三種形式顯聖（這一點與基督教的三位一體切合）不同，南傳佛教認為佛陀是一個完美的人，並且直截了當地否定了任何一種至高無上的唯一神的存在。

In section 2. 2, by a priori estimates and fourier spectral method, we prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the large time error estimate between spectral approximate solution and the exact solution. in sections 2. 3 and 2. 4, by a priori estimates and galerkin method, we prove the existence of the global smooth solution and global attrac - tors for the initial - boundary value problem. chapter 3, consider the initial - boundary value problem of the multidimen - sional non - homogeneous gbbm equations

第二章，考慮一類一維非齊次bbm方程，在第二節中利用fourier譜方法和先驗估計證明了具有周期初值問題的整體光滑解的存在性和唯一性，給出了fourier譜近似解和精確解的長時間誤差估計；在第三、四節中討論了初邊值問題，利用與時間t無關的一致先驗估計，證明了整體光滑解和整體吸引子的存在性。

The table will write down all about the electronic records during their life period. the content noted in the table will be the only basis on original and reality " testing of electronic records ". the major task of the second levels is to build the tight filing rules, moreover, combined the " life cycle table ", to build the test system to assure the original and the reality of the information during filing ; the assignment of the third level is to build testing and restoring measures of the original and the reality. by maintaining the media of electronic archives or building information file of electronic archives etc, electronic archives can maintain their available ^ visuak understandable during their deadline ; meanwhile, to build the safe control of the system through the workers dispersed authorization and deterring skills, to formulate the standards of the protective system, such as the standard of the basic structure of united electronic records ^ electronic archives. all of this is important to protect the original and the reality of electronic records and electronic archives

「生命周期表」所記錄的內容將作為電子文件歸檔時檢驗原始性、真實性的唯一依據；電子文件歸檔管理層中的主要任務是要建立起嚴密的歸檔制度，同時結合「文件生命同期表」建立檢驗措施保證電子文件在歸檔過程中信息內容的原始性、真實性；電子檔案保管層中主要任務是建立電子檔案數據原始性、真實性檢驗及原始數據恢復管理措施，通過對電子檔案載體的維護、建立電子檔案維護管理的信息文檔等工作，確保在保管期限中的電子檔案保持其可用性、可存取性、可理解性：建立電子文件與電子檔案原始性、真實性保護體系安全控制，通過對系統工作人員授權分散化、建立用戶標識與認證技術等措施確保「保護體系」安全運行；加強「保護體系」涉及的標準與規范的制定工作，如建立統一的歸檔電于文件、電子檔案基本結構等標準對保護電子文件、電子檔案信息原始性、真實性有著重要意義。

Existence and its uniqueness of weak solution of elliptic equation

橢圓型方程弱解的存在與唯一性

2. by doing precise computation of spectral radius of linear operator of linear equation and by using measure of noncompactness and leray - schauder type fixed point theorem of condensing mapping, the existence and the uniqueness of the solutions are obtained, which extend the results recently achieved in this field

二、通過線性方程解運算元譜半徑的論證，在緊型條件下利用凝聚映射的leray - schauder不動點定理及冪壓縮映射不動點定理，獲得了解的存在性與唯一性結果，這些結果推廣了近期這方面已有的一些結果。

This paper bring out design method of inverse eigenvalue problem, which adapts to general structures with linear parameters, namely coefficients of all or partial elastic component and inertial component are treated as design parameters, for given some order natural frequency and corresponding vibrating mode, all of useable designing parameters will be got through solving a linear system of equations, thereby stiffness matrix and mass matrix of actual structure are constructed. this paper also discusses existence condition and unique of results

提出了適用於具有線性參數的一般結構的逆特徵值問題的設計方法，即以系統的全部或部分的彈性元件與慣性元件的系數為設計參數，對于預先給定的若干階固有頻率及相應振型，通過求解一線性方程組即可確定全部實際可行的設計變量，從而構造出實際結構的剛度矩陣和質量矩陣，並論證了解的存在性與唯一性。

The theory of extremal quasiconformal mappings is mainly concerned with the problems of existence and uniqueness of extremal quasiconformal mappings with given boundary correspondence and of the properties and characteristics of extremal quasiconformal mappings

擬共形映射極值理論主要討論給定邊界對應的擬共形映射族中極值映射的存在性、唯一性、及極值映射的性質與特徵刻劃等問題。

The existence and uniqueness of the solutionofnonlinear singular diffusivity equation

非線性奇異擴散方程解的存在性與唯一性

The existence and uniqueness of weak solutions of a elliptic - parabolic equation system

拋物耦合方程組的弱解存在與唯一性

Its mathematical model is established, and the properties of existence and uniqueness of the optimal solution are discussed. furthermore, the explicit representation of the optimal solution is given. by matlab language, the program of obtaining the optimal solution is devised

在假設投資收益率服從正態分佈的條件下，建立了其數學模型，討論了最優解的存在性與唯一性，得到了最優解的解析表達式，並用matlab語言給出求解程序，最後舉例予以說明並驗證了兩個重要結論。