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orthogonal expansion中文是什么意思

  • 正交函數(shù)展開
  • 正交展開

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  • 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(jié)構(gòu)進(jìn)行建模,用隨機(jī)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(tài)方程) ;再考慮材料等參數(shù)的隨機(jī)性,則狀態(tài)方程成為復(fù)合隨機(jī)微分方程組,將擴(kuò)階系統(tǒng)方法和虛擬激勵方法推廣并應(yīng)用于這個復(fù)合隨機(jī)微分方程組,求出結(jié)構(gòu)的隨機(jī)響應(yīng)量的統(tǒng)計(jì)參數(shù);最后采用隨機(jī)累積損傷破壞準(zhǔn)則,在廣義隨機(jī)空間內(nèi),用jc算法求解失效概率,進(jìn)而求出結(jié)構(gòu)的抗震可靠度。
  • 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(shù)的顯式表達(dá)bergman核函數(shù)在(單、多)復(fù)變函數(shù)理論的發(fā)展過程中起著十分重要的作用, bergman在1921年研究復(fù)平面中區(qū)域d上的正交展開,其研究結(jié)果導(dǎo)出了一個核函數(shù)k _ d ( z , ) , ( z , t ) d d 。
  • In this paper , based on an improved orthogonal expansion in an clement , using the new idea of ref . [ 3 ] , a new error expression of n - degree hermite finite element approximation to one - dimensional 4 - degrec 2 - point bounded problem and 2 - degree ordinary differential problem , and then optimal order superconvergence for their first derivatives is obtained . moreover , we get the same result of their optimal order superconvergence
    本文針對在改進(jìn)的單元正交性估計(jì)的基礎(chǔ)上,利用文[ 3 ]提出的新想法,得到一維四階兩點(diǎn)邊值問題和二階常微初值問題的n次赫米特有限元u _ h c ~ 1的新誤差估計(jì)式,以及導(dǎo)數(shù)誤差的最佳階超收斂,并且兩者有相同的超收斂結(jié)果。
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