dimension of ring 中文意思是什麼
dimension of ring
解釋
舉重臺面積-
Given a ring, one always takes the supremum of some homological dimension of specified modules to obtain the corresponding global dimension, and to characterize the ring from outside
對于給定的結合環，人們往往通過對其上的一些模的某一種同調維數取上確界而得到環的相應的整體維數，進而從外部刻畫出環的特徵。 -
For the 30. 2mm shaft, there are still larger over measure to load. the strength is increased by optimization. for ? 17. 4mm shaft, the strength is increased by enlarge the inner dimension of the spline ; for 30. 2mm shaft, the strength is increased by adjust the structure at the boundary between the key groove and the ring groove, the highest stress of the shaft is at bottom and terminal of the spline after optimization
其中對17 . 4mm泵軸的優化，通過增大花鍵內徑，提高了花鍵齒底的強度，降低了應力集中點附近的應力；對30 . 2mm電機軸的優化，通過在軸承鍵的環槽端增加倒角，有效降低了該位置的應力集中，使軸的最大應力點從軸承鍵與環槽的交界處轉變到花鍵根部與收尾的交界處，提高了電機軸整體結構強度的合理性。 -
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 。 -
Linear induction motor is an important kind of machines which have some merits such as simple structure, low cost, durability, convenience for maintenance etc. the subject of this thesis is to study a big circular ring linear induction motor, and the major works in this thesis are summarized as follows : ( 1 ) considering the effects of the finite length of primary core, one - dimension analytical solution for the air gap field is cited in this paper. based on it, the single layer winding magnetic field is studied. considering whole - pitched and short - pitched winding configuration with odd poles and half - fulled slots in both ends, the double - layer winding magnetic field is analyzed, respectively
本文對大圓環直線感應電機進行了深入細致研究，內容包括： （ 1 ）本文採用有限長行波面電流作用於有限長鐵芯上的模型，引用了氣隙磁場一維解，研究了單層繞組磁場，奇數極半填槽雙層繞組在採用整距和短距時磁場的分析、比較，簡單介紹了二維解； （ 2 ）用有限元軟體ansoft對大圓環直線感應電機空載氣隙磁場進行了靜態分析，並分析了結果； （ 3 ）用軟體進行了額定電壓下的瞬態分析，得到了轉矩，位移，轉速隨時間變化曲線圖，利用單極性霍爾元件測定轉速並與軟體計算結果進行了比較，採用等效電路法計算了堵轉時的最大電磁力並做實驗進行了驗證，由實驗測得了三相電流波形，並與計算結果進行了比較，對其不對稱性進行了定性分析。 -
At the end of this chapter, we get some results about the dimension and its relationship with global dimension of a ring r. in the third chapter, the homological dimensions about ring r m have be discussed
在這一章的最後，我們研究了環r的整體維數與正合投射維數的關系，得到了這兩類維數是相等的，從而給出了整體維數得一類特徵刻畫。 -
In this thesis, we will discuss the homological dimension and homological properities of rings and modules which is one of the most impertinent parts in homological theory. in the first chapter, we investigate the relation of homological properities between ring r. [ [ x ] ] and ring r, we prove that a module m is an injective or a flat r - module, then it is an injective or a flat r [ [ x ] ] - module respectively, and if m is an injective or a flat r - module, then hom ( r [ [ x ] ], m ) is an injective r [ [ x ) ] - module, r. [ [ x } ] m is a flat r { [ x ] } - module
在第一章中，我們主要研究了冪級數環r [ [ x ] ]與環r上的模的平坦性與內射性之間的關系。證明了當只是一個完全凝聚交換環時，如果m是一個內射或平坦r [ x ] -模，則m是一個內射或平坦r -模。如果m是一個平坦r -模，則r [ x ] _ rm是一個平坦r [ x ] -模。 -
In theorem 3 of this chapter, we prove that homological properities and homological dimensions of residue ring play very important roles. the homological properities and homological dimension of coordinate ring have been studied in the thesis of doctor yang jing - hua. in the second chapter, we generalize the results of coordinate ring to power se - ries residue ring
楊靜化在其博士論文中對坐標環進行了同調刻畫。我們在楊靜化的博士論文基礎上，把坐標環的同調性質和同調維數的相關結論推廣到了冪級數剩餘類環上。 -
The optimized speed curve can bring a steady press - down dimension in the process of the ring rolling which could assure high quality products
優化后的芯輥進給速度曲線能保證輾擴過程中始終有理想的每轉壓下量，從而降低缺陷的發生，提高零件質量。 -
First of all, this paper introduced the working theory of three kinds of fluxgate magnetometer sensors : single core sensor, double core sensor and ring core sensor. then the author discussed relations between noise and demagnetization coefficient, and relations between noise and dimension of fluxgate magnetometer sensors
本文從介紹磁通門傳感器的分類入手，詳細分析了單棒型、雙棒型和環型磁通門傳感器的工作原理，並且深入討論了磁通門傳感器的噪聲與退磁系數的關系以及噪聲與傳感器尺寸的關系。 -
New caculation method of fitting assembly ring dimension and its limiting deviate
修配環尺寸及其極限偏差的新演算法 -
In the second chapter, we attain this goal by another route. collecting all short exact sequence and the morphisms among them, we get a new category, call the short exact sequences category crm. we define a global dimension attached to the original ring r from the view of the short exact sequences category cr. m, named the exact projective dimension
在第二章中我們將通過另一種方法，也就是考察所有的短正合列以及短正合列之間的態射，我們得到一個新的范疇，通過對這個范疇（我們稱之為短正合列范疇c _ rm ）的一些基本性質的考察，我們定義出與環r相關的同調維數，我們稱它為正合投射維數。 -
The calculating mold consisted of shell, pyramidal neck of shell with varied thickness, flange of ring with definite thickness for analytic solution is set up for the strength calculation and the design of the structure dimension of shell flange and pyramidal neck. this theoretic solution is compared with the results of finite element analysis and stress - strain measurement and is verified to be right
為設計計算烘缸法蘭及錐頸的強度與結構尺寸要求，建立以簡體、具有斜面的變厚度圓柱殼的錐頸及具有一定厚度圓環的法蘭環為解析解的計算模型，進行應力求解，將該理論解與有限元分析及應力應變實測結果進行分析對比，驗證該解結果的正確性。
分享友人