等距運算元 的英文怎麼說
中文拼音 [děngjùyùnsuànyuán]
等距運算元
英文
isometric operator- 等 : Ⅰ量詞1 (等級) class; grade; rank 2 (種; 類) kind; sort; type Ⅱ形容詞(程度或數量上相同) equa...
- 距 : Ⅰ名詞1 (距離) distance 2 (雄雞、雉等的腿的後面突出像腳趾的部分) spur (of a cock etc )Ⅱ動詞...
- 運 : Ⅰ動詞1 (物體位置不斷變化) move; revolve 2 (搬運; 運輸) carry; transport 3 (運用) use; wield...
- 算 : Ⅰ動詞1 (計算數目) calculate; reckon; compute; figure 2 (計算進去) include; count 3 (謀劃;計...
- 等距 : equidistance; isometry
- 運算 : [數學] operation; arithmetic; operating
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Every contraction can be extended to a partial isometry.
每一壓縮運算元能被擴張成一個部分等距運算元。Extension of isometries between unit sphere
單位球面上的等距運算元的延拓On linear extension of isometries between the unit spheres of - normed spaces
范空間中單位球面間的等距運算元的線性延拓This method provides a way to investigate the onto isometries of other space of operators or operators algebras
此法為以後研究其他運算元空間或運算元代數的等距離提供了一條新的途徑。And by far, most theories of wavelet analysis are established in, but this method is rare to be known and exists defects in the reproducing kernel space with good properties. then in the reproducing kernel space, isometric isomorphism of relation is founded between and by differential operator. and starting from the haar basis, multi - resolution analysis inis gived by folding method ; then multi - resolution analysis and orthonormal wavelet in are obtained through integral transform from to. then the reproducing kernel space can be expressed by wavelet spaces
於是,在再生核空間中,利用積分運算元建立了空間與hilbert空間的等距同構關系;並且從haar小波出發,由折疊法實現的空間中多尺度分析通過積分變換得到中多尺度分析和正交小波,使得再生核空間可以由小波空間來刻劃;從而對空間中的函數,給出了小波逼近具體表達式和相應的采樣公式,形式簡單易於數值分析。In computation of swept volume approximation, an improved technique to generate the swept volume approximation for arbitrary meshes is presented by introducing generator simplification and path resample using frenet moving frames along the discreted sweeping trajectory. other steps, such as a directed distance field computation on a uniform grid based on the hardware accelerated computation technique and iso - surface extraction using marching cubes algorithm, are also included in this algorithm. in addition, the simplification scheme and smoothing technique are applied to the swept volume generated from iso - surface extraction
本文的主要貢獻在於:在掃描體逼近計算方面,在原有任意多邊形網格模型沿任意路徑運動生成掃描體逼近演算法的基礎上,提出了加入對掃描母體簡化的預處理和用活動標架對掃描路徑進行重采樣等過程,演算法的其它過程還包括:計算掃描體中幾何基元的排列,用硬體加速構造無符號的有向距離場,將無符號距離場轉化為有符號距離場,從有符號有向距離場提取等值面等。The research achievements are as followed : studying the shortages and the improved methods of gm ( 1, 1 ) grey prediction model, considering the characteristic of the transformer chromatographic data, bring forward the method for converting a series of data which are sampled in different interval into a series of data in the same interval. the weakening operator is applied to reconstruct the transformer chromatographic data for attenuating or eliminating the influence of randomicity. the improved prediction model for power transformer interior fault is constructeded
主要取得了以下研究成果:通過對gm ( 1 , 1 )灰色預測模型的缺陷及其改進方法的深入研究,針對變壓器色譜數據序列的特有規律,提出了原始非等間距色譜數據序列的等間距處理方法,運用弱化運算元改造原始序列,淡化或消除原始色譜數據序列由於受各種隨機因素影響所具有的隨機性,給出了適用范圍更廣的變壓器內部故障改進灰色預測模型的建模方法。This paper applied the character that linear subjective isometries preserve the geometric rank of a operator to characterize the onto isometries between compact operators space in weakly closed modules of nest algebras, and obtained the expressions of the isomtries
摘要利用運算元的幾何秩在線性等距映射下不變的性質研究了套代數弱閉模中緊運算元空間的線性等距離映射,最後得到其空間實現形式。One of open problems is to study harmonic maps between finsler manifolds and derive the first and second variation formula for harmonic maps between finsler manifolds. firstly, we define harmonic map between finsler manifold. in fact, it is the harmonic map from projective sphere bundle of source manifold to the projective sphere bundle of target manifold
運算元的第一非零特徵值凡全mk .特別地,當『 ,二二k時, m的直徑為六?當m是黎曼流形時,由moer 「定理的推論直接可知m與半徑為去的球等距A kind of operator of trigonometric interpolation polynomials with bivariate product was constructed based on an equidistant node set, so that the operator could be converged uniformly to bivariate continuous functions with periodicity of 27 on whole plane, and the convergence order of the approximation would be optimal for a body of functions with arbitrary - ordered continuous partial deritives
摘要構造了一類基於等距結點組上的二元三角插值多項式運算元,使得該運算元在全平面上一致收斂到每個以2為周期的二元連續函數,並且對具有任意階連續偏導數的函數全體的逼近具有最佳收斂階。分享友人