解式 meaning in Chinese
solution
Examples
- By means of the concept of - subdifferential , this paper employs a new method and constructs resolvent formula of - subdifferential operators
本文用一种新颖的方法，借助于-次微分的概念，构造-次微分算子的预解式来逼近问题的解。 - As a young mathematician , he saw mathematical solutions - nonrational flashes of intuition - long before he could work out the reasoning
作为一个年轻的数学家，他脑海里会涌现出数学解式，但他却迟迟说不出推理过程，因为这都是他一时的直觉，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
运用-次微分算子的预解式技术和辅助原理技术给出了?类似变分不等式问题解的存在性和唯一性。 - 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首次提出并研究内射(投射、平坦) (预)盖及内射(投射、平坦) (预)包这些概念以来，大批论文研究此类包、盖的存在性、唯一性问题以及它们的核、上核的性质，并据此刻画了一些常见的特殊环；更进一步地，当此类包、盖存在时，我们可构造相应的完全投射(平坦、内射)预解式(当正合时称为完全分解式)以及单边投射(平坦、内射)预解式，研究了环的左(右)总体维数、弱维数与此类分解式的合冲模(或上合冲模)的性质、复形正合性之间的关系。 - 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
首先给出了gorenstein内射模的许多新的刻画，推出了环r是qf环当且仅当每个左(右)的r -模的单边内射分解式的第n个上合冲是gorenstein内射模，接着推出了左、右noether环只是n - gorenstein环当且仅当每个左(右)模的单边内射分解式的第n个上合冲是gorenstein内射模当且仅当每个左(右)模的单边内射预解式的第n合冲是gorenstein内射模，最后推出了n - gorenstein环中每个模都可嵌入到一个gorenstein内射模之中，且其上核的内射维数不大于n - 1 。