projective properties 中文意思是什麼

projective properties 解釋
射影性質
  • projective : adj. 1. 投影的，射影的。2. 凸出的，突出的。3. 【心理學】投射的。
  • properties : （特性）命令修改特性
  1. 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。
  2. Finally, a method is put forward to construct the nurbs curves on sphere, which extends the de boor recursive algorithm in r3 to one on the sphere by replacing the geodesic distances for the lines and studies their many geometric properties analogous to those in euclidean spaces, such as the differential property, the local property, the parameter invariance under a projective transformation, and so on

    兩種方法均給出誤差估計，使逼近螺線可達到任何預先給定的精確階。最後，給出球面nurbs曲線生成演算法：用球面上測地線? ?劣大圓弧代替直線段，將歐氏空間r ~ 3中的deboor遞推演算法推廣到球面上構造麯線。
  3. Some properties of projective transformation on projection plane producing by polar transformation

    配極變換誘導的直射變換的若干性質
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