deterministic linear system 中文意思是什麼
deterministic linear system
解釋
確定性線性系統- deterministic : 定數性
- 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。
- system : n 1 體系，系統；分類法；組織；設備，裝置。2 方式；方法；作業方法。3 制度；主義。4 次序，規律。5 ...
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For a general linear model ( input matrix is deterministic ), under a certain conditions on variance matrix invertibility, the two estimates can be identical provided that they have the same priori information on the parameter under estimation. even if the above information is unknown only for the optimally weighted ls estimate, the sufficient condition and necessary condition, under which the two estimates are identical, is derived. more significantly, we know how to design input of the linear system to make the performance of the optimally weighted ls estimation identical to that of the linear minimum variance estimation in case of being lack of prior information
在一般線性模型（即輸入矩陣為確定性）下，當兩種估計都利用有關被估參數的先驗信息時，二者在方差陣可逆的一定條件下可達到一致；當最優加權最小二乘估計不利用此先驗信息時，存在二者一致的充分條件和必要條件，進而找到一種設計輸入矩陣的方法，使得在先驗信息缺乏的條件下，仍可利用最優加權最小二乘估計達到與線性最小方差估計一樣優越的估計性能。 -
As a phenomenon found in non - linear dynamic system, chaos is deterministic and random - like
混沌現象是非線性動力系統中一種確定的、類似隨機的過程。 -
In the second part, we try to apply orthogonal polynomial approximations to the dynamical response problem of the duffing equation with random parameters under harmonic excitations. we first reduce the random duffing system into its non - linear deterministic equivalent one. then, using numerical method, we study the elementary non - linear phenomena in the system, such as saddle - node bifurcation, symmetry break bifurcation, phenomena in the system, such as saddle - node bifurcation, symmetry break bifurcation, period - doubling bifurcation and chaos
本文第二部分嘗試將正交多項式逼近方法應用於隨機duffing系統，提出與之等價的確定性非線性系統的新概念，並用數值方法對該系統在諧和激勵下的鞍結分叉、對稱破裂分叉、倍周期分叉、和混沌等各種基本非線性響應進行了初步探討。 -
In the first part of the thesis, we generalize the unified approach to the evolutionary random response problems of a deterministic system ( the unified approach in brief ), to a random linear system in the following ways
論文前一部分將確定性系統中的統一解法，全面推廣到隨機線性系統中去，具體地作了三個方面的工作。
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