線性向量空間 的英文怎麼說

中文拼音 [xiànxìngxiàngliángkōngjiān]
線性向量空間 英文
linear vector space
  • 線 : 名詞1 （用絲、棉、金屬等製成的細長的東西） thread; string; wire 2 [數學] （一個點任意移動所構成的...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 量 : 量動1. （度量） measure 2. （估量） estimate; size up
  • 空 : 空Ⅰ形容詞（不包含什麼; 裏面沒有東西或沒有內容; 不切實際的） empty; hollow; void Ⅱ名詞1 （天空） s...
  • 間 : 間Ⅰ名詞1 （中間） between; among 2 （一定的空間或時間里） with a definite time or space 3 （一間...
  • 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
  • 空間 : space; enclosure; room; blank; interspace
  1. Every basis of a linear space contains the same number of vectors.

    一線性空間的每一基底包含同樣數目的向量。
  2. By taking advantages of epipolar line features and depth discontinuities in reference 中國科學院 軟件 研究所 博士 學位 論文 基于 圖 象 的 快速 繪制 技術 的 研究 images ， an efficient inverse wmping algorithm is pfoposed in chapter 3 for gcnerating nagcs of novel views by combining multiple eference images 帆 enhm different vie 呷 oints because continuous segnents determi 。 d by pairs ofedge pixels at co 。 spending epipolar lines are order kept ， only pairs of edge pixels in the reference 渝 明 e e necess 叨 口 cowute to obtain generalized disparity of all points in the desired image as a result ， sighficant acceleraion could be made in the endering pfo 比 鴕 two accelerating techiq 此 s e presented in this algori 山 mb accelerate the hole illing process his algorithm extends the reference images rom projection of single col ： ii ’ ected surface in previously developed nvnverse w 出 下 er to ima 驢 s captured rom complex scene in chapter 4 ， an 《 dent ibr method is prese 庇 仙 y takn ull 訕 antage of 呷 bies c 咖 the method can simulate the 3d details on sllri ： ace of object successfully he 。 叩 proach ， called rered ature mopmp consists of two pans at fst ， an origi 。 ltexture with orthogonal displacements per pixel is deco 啊 osed into a series of new t6 刀 mfcs with each 他 lug a given displacement per pixel ， called ae ， ea atures ， or lt hen hese lt e used to render the novel view by conventional texture mapping d avoid gaps n the endered hlla 驢 ， some phels are to be interpolated nd extended in the 廠 kaccoding to the depth differe eee between two neighbor pixels in the original texture as these ltlt fc … e much storage nd therefore much time is equired to install ltlt into the text ’ ufc buffec an 舊 thod is pfoposed to co 呷 fcss the ltlt ， nd the cottcspondingfclldering method is given experimental esults show that the new method is efficient ， especially n rendering those objects with a smaller depth rnge compared withtheir size ， such as relief surfaces of building

    與己有的三維變換方法相比較，該方法不但成功地填補了由於投影區域擴張而產生的第一類空洞，而且成功地填補了由於空間深度非連續物體相互遮擋而產生的第二類空洞，從而方便地實現了虛擬環境中的漫遊；基於物體表面深度的連續性，本文提出了一個位移預測方法? ?此方法可以從單幅參考圖象獲得逆映射過程中所需要的目標圖象的位移信息，從而大大提高了演算法的效率：與通常的正向映射演算法相比，此演算法克服了多幅參考圖象所帶來的計算量成倍增長等問題，而且誤差較小。 2 ）基於極線幾何的快速逆映射演算法。利用參考圖象的邊界信息與隱含的遮擋關系，以及極線幾何的性質，本文第三章提出了一個基於極線幾何的快速3 『一中國科學院軟體研究所博士學位論文基於圖象的快速繪制技術的研究逆映射演算法，從多幅參考圖象精確合成當前視點目標圖象。
  3. The normalized factorial moments ( nfm ) show good scaling properties in isotropical partition of phase space ; the nfm ' s projected into three directions versus the. partition. number appear, to be saturated curves with similar in scaling behavior ; and the three hurst exponents are very close to unity. the levy - stability holds for the q = 2 ~ 5 order moments in 3 - dimensional phase - space

    發現：三維歸一化階乘矩（ nfm ）的分佈呈現出很好的標度特性；階乘矩在各個方向上的一維投影呈現出彼此十分相似的飽和曲線，且特徵參量hurst指數都接近於1 ；高維相空間各階階乘矩的分佈滿足l vy穩定性的要求。
  4. According to more effect, when the hore component is placed in a gradient field, at the same time the direction of the current is perpendicular to the direction of the voltage, then between the two parallel side face come out the hore voltage. when hore component is set in this kind of uni - gradient magnetic field and the electric current is unchanged, the voltage output of hore component will be proportional to the position of the hore component in the magnetic field. so we can use the hore component to measure the movement of hore component against magnetic field

    根據霍爾效應可知，置於磁場中的霍爾元件若電流方向與磁場方向垂直，則在霍爾元件垂直於磁場和電流方向的兩個側面將產生電勢，將霍爾元件置於強度隨空間位置線性變化的磁場中，且控制電流恆定，輸出就正比于霍爾元件處于磁場中的位置，因此可以用霍爾元件來測量磁場與霍爾元件間的相對位移量。
  5. Finally, we give a simple condition for nondegeneracy of symmetric bilinear forms on infinite dimensional vector spaces

    最後，我們給出有限維向量空間中對稱雙線性型非退化的簡單條件。
  6. Graphite ) and the special viscoelasticity of polymer, interlayer exfoliation of the filler and its nanocompounding with polymers can be realized in the shearing force field of pan - milling, through the effects such as deformation, dislocation, tension - sliding and shearing exfoliation of graphite, the tension - thinning, pulverization of pp, as well as the imbedding, mixing and dispersion of graphite flakes in pp powder etc. the results show that the interlayer exfoliation of graphite and nano - compounding with pp proceeded stepwise, caused by a combination of friction, squeezing, stretching, and shearing in three - dimension during pan - milling

    石墨片層的受限空間影響i一pp / yep25o復合材料中pp結晶行為，進入石墨片層間的pp分子一部分擇優取向，形成沿（ 040 ）晶面法線方向擇優生長的a一晶，另一部分相對分子質量較小、運動活性較高的pp分子則受到石墨片層的擠壓和限制而轉化為y -晶，在i一pp廳ep250復合材料中， y -晶相對含童達34 . 8 % 。
  7. This paper expatiated that the mathematics models of ac motor is higher order, non - linear and closed coupling, multivariable input - output system. and introduces the principle and the algorithm of sine pulse width modulation ( spwm ), opened - loop space voltage pulse width modulation control ( svpwm ) and field oriented control ( foc ). finally, realized the control strategies of variable - frequency speed regulating using assembly and c language

    文中闡述了交流異步電機的數學模型是高階、非線性、強耦合的多變量輸入輸出系統，介紹了交流電機的正弦脈寬調制、開環電壓空間矢量的u / f控制和磁場定向控制的原理及控制演算法，並利用dsp構成控制系統，通過匯編語言和16位定點c語言混合編程的方法實現了上述的變頻調速控制策略。
  8. In the paper, based on the existing literature research foundation an analog circuit catastrophic fault location approach by using feedforward networks with back ? propagation learning is realized. by this approach, the simulation require ments before test are reduced because fewer training samples are needed, and the fault location process is fast. this method is very efficient in location of single hard fault wit component tolerances. the measureme nt space feature and the general characterization concept of single and double soft fault in linear circuits are presented. according to this concept, a linear circuits soft fault location approach using subhidden layer bpnn is established with element tolerance, and it is shown that this approach is successful in fault location. a double fault feature extraction.,

    本文在現有文獻理論研究的基礎上實現了採用bp演算法前向多層神經網路對直流測試下模擬電路硬故障的診斷方法。其特點是採用少量典型特徵樣本作為bp網路的訓練樣本，獲得訓練樣本的代價小，減少了測前工作量，同時診斷速度快，在考慮元件容差時仍有好的診斷效果。文中介紹了線性電路單一軟故障和雙軟故障所具有的電壓增量空間特性和統一特徵概念。
  9. This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices

    此課程提供了對線性代數嚴謹的處理，包括向量空間、線性方程組、基底、線性獨立、矩陣、行列式、特徵值、內積、二次式、和矩陣的標準型式。
  10. The data is nonlinearly mapped into high dimensional kernel space at first. then a set of feature vectors can be found such that the bhattacharyya distance of the classes mapped into lower dimensional feature space by feature vectors is maximized. thus the upper

    該演算法採用核函數把樣本非線性映射到高維核空間，在核空間中尋找一組最優的特徵向量，把樣本線性映射到低維特徵空間，使類別之間的bhattach刪a距離最大，從而使特徵空間中樣本的baycs分類誤差上界最小。
  11. The mapping the pilot training from the lower dimension space to high dimension space, and in the high dimension space, the wave - let kernel function is adopted, according to recursion least square criteria, the lower linear inseparable problem is convert to the separable problem

    然後將根據結構風險遞歸二乘最小化準則回歸估計支持向量機原理，把導頻訓練序列映射到高維空間，並在高維空間採用結構小波核函數，達到了將低維空間的非線性估計轉化為高維空間的線性估計的目的。
  12. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices

    主要內容有：行列式，矩陣的代數運算，維向量空間的概念，線性方程組理論，矩陣相似的標準形理論，二次型等。
  13. The linear algebra as a branch of mathematics is the science, which takes matrix theories as center and limited dimension vector space combining with matrix, namely the theories of the linear space and linear transformation, as the object

    線性代數是代數學的一個分支，它以矩陣理論為中心，以與矩陣結合的有限維向量空間即線性空間和線性變換的理論為對象的一門科學。
  14. By augmenting the state vector, linearizing the nonlinear augmented state space model and adopting the equivalent measurement equation, the problem of strong tracking extended kalman filtering of nonlinear systems with additive combined colored noise can be converted into the problem of strong tracking kalman filtering of linear systems with correlated process and measurement noise

    通過增廣狀態向量、線性化非線性的增廣狀態空間模型和採用等效量測方程，將加性復合有色噪聲干擾下非線性系統的強跟蹤濾波問題轉化為過程與量測噪聲相關情況下線性系統的強跟蹤卡爾曼濾波問題。
  15. A widely used method for checking real - time systems is, according to the real - time property to be checked, to use a proper bi - simulation equivalence relation to convert the infinite - timed state space to a finite equivalence class space. the algorithm needs only to explore the finite space to get a correct answer. in most cases, exhaustive exploration is very difficult because the equivalence class space increases explosively when the scale of the system increases. in this paper, an equivalence relation is introduced to check whether a concurrent system, which is composed of a finite set of real - time automata, satisfies a linear duration property. to avoid exhaustive exploration, this paper also introduces a compatibility relation between timed states ( configurations ). based on these two relations, an algorithm is proposed to check whether a real - time automaton network satisfies a linear duration property. the cases study shows that under some conditions this algorithm has better efficiency than the tools in the literature

    一個被廣泛用於驗證實時系統的方法是根據被驗證的實時性質，使用適當的雙向模擬等價關系使無限的狀態空間轉化為有限的狀態等價類空間.演算法只需要在這個有限的等價類空間里搜索就可以得到正確答案.但是，這個等價類空間的規模一般隨著系統規模的增大而產生爆炸性的增長，以至於在很多情況下，窮盡搜索這個空間是不現實的.該文引入了一個等價關系來驗證一個由多個實時自動機通過共享變量組成的並發系統是否滿足一個線性時段特性.同時，還引入了格局之間的兼容關系來避免對狀態等價類空間的窮盡搜索.基於這兩個關系，文章提出了一個演算法來驗證是否一個實時自動機網滿足一個線性時段特性.實例研究顯示，此演算法在某些情況下比其他一些工具有更好的時間和空間效率
  16. 2 ) by analyzing the information and conditional information description mechanism of system states, the problem of stochastic model reduction is investigated based on state aggregation. the information loss and conditional information loss between the full - and reduced - order models are measured by entropy, while the independence and conditional independence within me components of aggregated state are measured by kullback - leibler information distance. several model reduction methods for stable and unstable linear systems are derived by employing two criteria to get aggregation matrices : the minimal information loss and the maximal independence

    2 ）分析了隨機系統狀態空間模型中的信息和條件信息描述機制，以shannon熵為手段描述線性系統模型降階過程中的信息和條件信息損失，以kullback - leibler信息作為衡量降階模型狀態向量各分量之間統計獨立性的測度，針對穩定和不穩定系統研究基於狀態集聚的模型降階問題：分別運用最小信息損失準則和最大獨立性原則，得出幾種狀態集聚的信息論方法，並討論降階模型的性質、階次的確定、系統噪聲分佈特性等問題。
  17. Secondly, the author assumes material is elastic, separately adopts planar model and spatial model of the 6 - 12 - 18 - storey spatial concrete frames reckons in shear deformation and axial deformation and contrastingly analyzes lateral displacement of the frames under taft. e1 - centro and tianjfn seismic wave considering geometric non - linear effect or not in order to find out the rule about geometric non - linear effect on earthquake - resistant behavior of multi - storey and highrise concrete frame structure under strong - motion earthquake. simultaneously, the author weighs the effect of spatial self - bracing function on structural analysis by contrasting lateral displacement between planar model and spatial model of the frames

    其次，作者在彈性材料假定下，對六層、十二層、十八層空間混凝土框架，分別取其空間模型和平面模型，計入剪切變形、軸向變形的影響，按考慮幾何非線性因素與否，分別在taft 、 e1 ? centro及天津地震波作用下，作以對比分析，以找出幾何非線性效應對多高層混凝土框架結構在強震作用下抗震性能的影響的規律；同時，對平面模型與空間模型之間的空間相互作用，均以其幾何非線性情況下的位移反應作對比分析，來衡量空間相互作用對結構分析的影響。
  18. All the urban logistics requirements are forecasted by the method of time sequence deduce and muti - factors stepwise linearity regression, including volume of freight, configuration of goods, organize volume of freight, distributable volume of freight and its distributing. according to all the forecast result and other conditions, such as transportation and so on, the layout of beijing distribution parks are made certain, and the scale of each distribution park is calculated in use of space - time consume method. at last, a suitable investment, construction and operation system of beijing distribution park is advised on the reference of developed country experiences

    在對物流節點的概念、功能、作用、分類、層次總結和概括的基礎上，結合物流的發展趨勢和大中城市的實際，分析了規劃物流園區的必要性；提出了城市物流需求預測技術路線后，運用時間序列第推、多元逐步線性回歸等科學方法，對北京的貨運量、貨物結構、組織量和適站量、適站量的方向性等物流需求做了預測；學習借鑒國外物流園區選址的經驗，根據貨物適站量方向性預測、北京市的交通體系等實際情況，確定了北京物流園區布局；把不同方向特徵年貨物適站量合理的分配到相應的物流園區中，運用時空消耗法確定了各個物流園區的規模；在對每個物流園區逐一分析后，借鑒國外的經驗，提出了適合北京的物流園區投資、建設、運營機制。
  19. The subjects to be covered include groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups

    涵蓋的主題包括群、向量空間、線性轉換、對稱群、雙線性結構、線性群等。
  20. The vector extreme problems with the set constraint in the ordered linear topological spaces are studied. the necessary and sufficient optimality conditions are established

    在序線性拓撲空間里研究了含有集約束向量極值問題的最優性條件，並建立了充分性和必要性條件
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