bounded linear transformation 中文意思是什麼

bounded linear transformation 解釋
有界線性變換
  • bounded : adj. 1. 有界限的，有限制的。2. 【數學】有界的。n. -ness
  • linear : adj. 1. 線的，直線的。2. 長度的。3. 【數學】一次的，線性的。4. 【動、植】線狀的；細長的。5. 由線條組成的，以線條為主的，強調線條的。
  • transformation : n 轉變，變化；變形；【生物學】（尤指昆蟲的）轉化，變態，改造，改革；變質；【數學】變換；【電學】...
  1. The structure of inverse transformation for linear invertible bounded transformation on banach space

    空間上有界可逆線性變換逆變換的結構
  2. Bounded linear transformation

    有界線性變換
  3. In the study of the lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. outside of a large disc, using the symplectic transformation of the hamilton system to estimate the iteration of the successor map. applying the moser ' s small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded

    在碰撞運動的lagrange穩定性的討論中，給出了漸近線性方程碰撞解有界或無界的條件，在充分大的圓盤外，通過hamilton系統的辛坐標變換的角度平均來估計后繼映射的迭代，應用moser小扭轉定理得到不變曲線從而給出在一定條件下碰撞解有界的證明，碰撞解無界性的證明將採用直接估計后繼映射的方法給出。
  4. Based on the lyapunov approach, my main results are obtained as follows : 1. the decoupling of the linear time - invariant system and linear time - delay system are discussed. for linear systems with norm - bounded uncertainties, conditions for energy decoupling with input transformation or both state feedback and input transformation are given in terms of linear matrix inequalities

    討論了線性定常系統和時滯系統的能量解耦，研究了具有范數有界不確定參數的線性不確定系統，給出了不確定線性系統僅具有輸入變換、同時具有狀態反饋和輸入變換情況下的能量解耦方法，結果以線性矩陣不等式的形式給出。
  5. In 1860, schrodinger first put forward the concept " schrodinger equations " in quantum mechanics and since then, the study on schrodinger equations has never stopped, for the mathematical description of many physical phenomena belongs to the field of schrodinger equations, such as nonlinear optic, plasma physics, fluid mechanics etc. as for the form of schrodinger equations, linear schrodinger equations was gradually replaced by nonlinear schrodinger equations ; as for the methods of solving schrodinger equations, the modulus estimate of energy, the principle of contraction mapping, fourier transformation and harmonic analysis are used ; as for the space of the solutions, many people have worked on the problem in bounded domain, euclidean space of dimension n, periodic bounded conditions and mixed regions and they also combined it with the generalization from low dimension to high dimension

    ） dinger方程，如非線性光學、等離子物理、流體力學[ 21 ]等；在方程形式上，從線性schr （ ? ） dinger方程到非線性schr （ ? ） dinger方程；在處理方法上，用能量模估計、壓縮映象原理和fourier變換調和分析等；在方程解空間上，研究有界區域、 n維歐氏空間、周期性有界區域和混合區域等，並且結合從低維向高維推廣。
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