orthogonal expansion 中文意思是什麼

orthogonal expansion 解釋
正交函數展開
  • orthogonal : adj. 1. 直角的，互相垂直的；正交的；直交的。2. （統計數字）互不相關的。
  • expansion : n 1 張開，伸展。2 擴大；擴建；展開；發展。3 廣袤，遼闊。4 擴張物，擴大部分。5 （講題等的）詳述，...
  1. The obtained results in the paper are as follows : ( 1 ) the expansion of fourier series of orthogonal trigonometric polynomial for conditional mathematical expectation and function of random variable ; ( 2 ) the best approximation of trigonometric polynomial about another random variable for function of a random variable ; ( 3 ) the best approximation order of trigonometric polynomial for function of random variable

    摘要獲得了如下結果： （ 1 ）條件數學期望及隨機變量函數的三角多項式級數表達； （ 2 ）一個隨機變量關于另一個隨機變量的三角多項式的最佳逼近； （ 3 ）隨機變量函數被隨機變量三角多項式最佳逼近的階。
  2. Are uncertain and should be regarded as random variables, therefore the reinforced concrete frame is stochastic structure inherently, and then its motive equations converted to combined random differential equations for the uncertain parameters and external random excitation. these equations were solved by order - orthogonal expansion method with pseudo - excitation method, and then the statistic stochastic responses of random structure were obtained. at last, based on the stochastic cumulative damage model with double parameters developed by park, formulas were formulated for calculating structural earthquake damage probability using the structural reliability theory ( mainly jc algorithm ) in extensive random space

    首先對受地震激勵的剪切型鋼筋混凝土結構進行建模，用隨機等效線性化方法將二階非線性微分方程組化成一階線性微分方程組（或稱之為狀態方程） ；再考慮材料等參數的隨機性，則狀態方程成為復合隨機微分方程組，將擴階系統方法和虛擬激勵方法推廣並應用於這個復合隨機微分方程組，求出結構的隨機響應量的統計參數；最後採用隨機累積損傷破壞準則，在廣義隨機空間內，用jc演算法求解失效概率，進而求出結構的抗震可靠度。
  3. Experiment adopts a series of technology, such as expansion technology, solid burning technology, mullite crystallizing technology and anti - clarifying technology etc. through orthogonal optimized proportion and suitable accelerated burning test, experiment has successfully produced high strength and performance fly ash lightweight aggregate

    研究中，採用了膨脹技術、固相燒結技術、莫來石晶化技術和反澄清保氣技術。通過配合比正交優化和適宜的快速焙燒實驗，燒制出了輕質、高強、低吸水率的優質粉煤灰輕集料。
  4. 2 ) based on the maxwell equations of nonlinear media, high - order coupled equations governing the evolution of two orthogonal polarization components of the same wave are derived by using multi - dimension derivation expansion method of singular perturbation theory, and the suitable application range is presented

    2 ）利用奇異攝動多重尺度導數展開法，從非線性介質中的maxwell方程組出發，導出了包含高階攝動項的同一光波不同偏振分量的耦合高階非線性薛定諤方程，並給出了其適用范圍。
  5. We have the following results. part i the computations of the bergman kernel functions the bergman kernel function plays an important role in several complex variables. s. bergman introduced the concept of bergman kernel function in 1921 when he studied the orthogonal expansion on d in c and he generalized it to the case in several complex variables in 1933

    Bergman核函數的顯式表達bergman核函數在（單、多）復變函數理論的發展過程中起著十分重要的作用， bergman在1921年研究復平面中區域d上的正交展開，其研究結果導出了一個核函數k _ d （ z ， ） ， （ z ， t ） d d 。
  6. The influence of optical source chirp on femtosecond soliton interaction is studied numerically, and the unequal amplitude method can reduce the interaction. in addition high - order coupled equations governing the evolution of two orthogonal polarization components of the same wave are derived by using multi - dimension derivation expansion method of singular perturbation theory and the dispersion relation. furthermore, a class of optical solitary wave solutions, such as the bright - bright, dark - dark, bright - dark, and combined solitary waves are found under certain parametric conditions

    數值研究了源啁啾飛秒孤子間相互作用，提出了抑制該作用的可能方案；用奇異攝動多重尺度導數展開法和色散關系推導了耦合高階非線性薛定諤方程（ chnlse ） ，並用行波變換法得到了一系列孤波解析解，分析了它們在光纖中傳輸的必要條件，也討論了它們的穩定性，為實現飛秒光脈沖在光纖中的無畸變傳輸作理論上的探索。
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