解式 的英文怎麼說

Occasionally we shall make use of the following decomposition of the displacement vector.

有時候，我們將利用位失量的下列分解式。

Given a ring or module, one can define various homological dimensions by resolving the modules

給定一個環或模，人們通過環和模的多種不同分解式，可以定義不同的同調維數。

When does a perceptual schematic become consciousness

圖解式的知覺何時變成理性？

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。

At first a lot of new characterizations of gorenstein injective modules are given, then the author claim that a ring r is qf if and only if every left ( or right ) r - modules are gorenstein injective, and then show that if r is two - side noetherian, r is n - gorenstein if and only if every n - th cosyzygy of an injective resolution of a left ( and right ) r - module is gorenstein injective if and only if every n - th syzygy of an injective resolvent of a left ( and right ) right module is gorenstein injective. finally, we prove that for an n - gorenstein ring r with n > 0, every module can be embedded in a gorenstein injective module and the injective dimension of its cokernel is at most n - 1

首先給出了gorenstein內射模的許多新的刻畫，推出了環r是qf環當且僅當每個左（右）的r -模的單邊內射分解式的第n個上合沖是gorenstein內射模，接著推出了左、右noether環只是n - gorenstein環當且僅當每個左（右）模的單邊內射分解式的第n個上合沖是gorenstein內射模當且僅當每個左（右）模的單邊內射預解式的第n合沖是gorenstein內射模，最後推出了n - gorenstein環中每個模都可嵌入到一個gorenstein內射模之中，且其上核的內射維數不大於n - 1 。

In the second section, the author studies copure injective modules, which are the kernels of injective precovers. at first the author gives some characterizations of copure injective modules, show many characterizations of reduced copure injective modules, and then study when injective precover is exact. moreover, the author claims that if l. pid ( r ) of a ring is finite, some copure injective modules can be obtained by a resolvent, finally analyze the relationship between syzygies of a resolvent and cosyzygies of a resolution on n - gorenstein rings

第二部分著重研究了上純內射模，即內射預蓋的核，首先給出了上純內射模的一些等價刻畫，然後給出了約化的上純內射模的等價刻畫，接著研究了內射預蓋在什麼條件下正合，再接著研究了當環的l . pid （ r ）有限時由模的內射預（分）解式可得到一些上純內射模，最後討論了n - gorenstein環中單邊內射預解式的合沖模與單邊內射分解式的上合沖模之間的聯系。

Similarly, cokernels of the flat envelope of a finitely gener - ated coreduced gorenstein flat module is also a finitely generated coreduced gorenstein flat module, moreover the flat envelope of the former is the flat cover of the latter. and then we prove that over these rings, in quotient categories mod every finitely generated module has a finitely generated coreduced gorenstein flat preenvelope, and its two such preenvelopes are isomorphic

接著證明了這類環上每個模的極小平坦分解式的合沖模從第n個起都是有限生成的上約化的gorenstein平坦模，最後證明了在這類環上，商范疇dlaa中每個有限生y成模都有有限生成的上約化的gorenstein平坦包，並且這種蓋在同構意義下是唯一的

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p - polynomials, as well as the permutation theory over finite field : the new definition of chrestenson linear spectrum is given and the relation between the new chrestenson linear spectrum and the chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field ; the distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field gf ( 2 ) and prime field fp ; the relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed ; using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized bent functions over its prime field ; the existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p - polynomials over finite field

重新定義了有限域上邏輯函數的chrestenson線性譜，考察了新定義的chrestenson線性譜和原來的chrestenson循環譜的關系，並利用一組對偶基給出了有限域上邏輯函數的反演公式；給出了有限域上隨機變量聯合分佈的分解式，並利用隨機變量聯合分佈的分解式對有限域上邏輯函數的密碼性質進行了研究；給出了有限域上邏輯函數與相應素域上向量邏輯函數的關系，探討了它們之間密碼性質的聯系，如平衡性，相關免疫性，擴散性，線性結構以及非線性度等；討論了有限域上邏輯函數各類線性結構之間的關系，並給出了任意點都是線性結構的邏輯函數的全部構造，由此引出了有限域上的「泛仿射函數」的概念；考察了有限域上邏輯函數的退化性與線性結構的關系、退化性與chrestenson譜支集的關系；給出了有限域邏輯函數非線性度的定義，利用有限域上邏輯函數的非線性度與相應素域上向量邏輯函數非線性度的關系，考察了有限域上邏輯函數的非線性度與線性結構的關系；利用有限域上邏輯函數與相信息工程大學博士學位論文應素域上向量邏輯函數的關系，揭示了有限域上的廣義bent函數與相應素域上的廣義bent函數的關系，以及有限域上的完全非線性函數與相應素域上向量廣義bent函數之間的關系;給出了任意有限域上任意。

By means of the concept of - subdifferential, this paper employs a new method and constructs resolvent formula of - subdifferential operators

本文用一種新穎的方法，藉助于-次微分的概念，構造-次微分運算元的預解式來逼近問題的解。

As a young mathematician, he saw mathematical solutions - nonrational flashes of intuition - long before he could work out the reasoning

作為一個年輕的數學家，他腦海里會涌現出數學解式，但他卻遲遲說不出推理過程，因為這都是他一時的直覺，是非理性的。

Using techniques of resolvent formula of - subdifferential operators and auxiliary principle, we presented the existence and uniqueness of the solution of a class of variational inequalities

運用-次微分運算元的預解式技術和輔助原理技術給出了?類似變分不等式問題解的存在性和唯一性。

Using the theories of probability, algebra and number theory comprehensively, we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions, which are constructed from any two bent functions, are studied, followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values. some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions, whose cryptographic properties are explored by the matrix method, which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher, communications and block ciphers is discussed, which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions, including the complete construction by using the characteristic matrices of boolean functions, and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp, where p is a prime, and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered

本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識，並以頻譜理論作為主要研究工具，對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究，給出了廣半bent函數定義，並探討了廣半bent函數的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件；討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系，探討了它們的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法，並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上；利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法，還給出了從已有的p值k階擬廣義bent函數出發，遞歸構造變元個數更多的p值k階擬廣義bent函數的方法；初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用；給出了一類布爾函數walsh譜的分解式，並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造，特殊情形下為k階擬bent函數；利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵，並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。

The fashion is with the characteristic of the popular and diagram type, meaningful, and with the speciality with deep intension, plays a very important role among the works in surrealism, while surrealism idea characteristic makes fashion itself a newer change in concevt

時裝以通俗性和圖解式的特徵，寓意豐富、內涵深刻的特質，在超現實主義作品中起到了舉足輕重的作用，而超現實主義理念也使時裝本身發生了觀念的更新交化。

After analyzed and studied on some algorithms about how to simplify a complex 3d geometric model from home and abroad, this paper proposes the concept of divisional envelope pitch and ameliorates the method of envelope ' s conformation proposed by cohen using the dichotomy in linear search. when a triangle is selected and contracted tentatively, two corresponding divisional envelope pitches should be constructed at first. the divisional envelope pitch is a bit of the whole simplification envelope

本文對當前國內外有關幾何模型的簡化演算法進行了分析和研究后，將三角形收縮簡化操作與包絡控制簡化誤差的方法相結合，利用一維線性搜索中的二分法改進了cohen提出的簡化包絡構造演算法；隨后又綜合簡化包絡的誤差控制方法和二次誤差矩陣的局部性誤差控制思想，提出了一種分解式包絡片的概念。

India. manufacturer producing high speed metal arc disintegrators used to harmlessly remove broken, seized, and sheared tools and bolts

-橋配套生產「電解式臭氧發生器」及「高濃度臭氧消毒劑生成機」的專業生產廠。

The comprehensive reading method of teaching middle school chinese

中學語文理解式閱讀教學法

Investigation on inner flow characteristics of the decomposable solid micro - thrusters controlled by laser

受激光控制分解式固體微推力器內流動特性研究

Objective : to determine the efficacy of a new intracolonic bypass tube ( icbt ) designed for a one - stage procedure for left colonic obstruction

摘要本院大腸直腸外科自行設計一種新式的腸內保護管，是結合可分解式腸道吻合環與保險套的長而軟的保護內管。

Electrolysis humidity transducer sensor

電解式濕度傳感器

An integrable theorem of second order linear homogeneous differential equation

二階線性常系數非齊次常微分方程的分解式講授方法