singular space 中文意思是什麼
singular space
解釋
奇異空間-
In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples
第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。 -
According to the data of the covariance - stationary stochastic time series, we can get the state space modeling algorithm quickly and stably by singular value decompositi on and orthogonal projection. this algorithm will be faster and more stable
在已知平穩隨機時間序列樣本數據的情況下，論述了如何採用正交投影演算法和正交奇異值演算法建立隨機時間序列的狀態空間模型和狀態矢量估計，這種數學建模方法對于船舶機艙中的系統數學建模有很大的幫助 -
And beginning with a perturbed nls equation, using a multi - scales perturbation expansion, we get the zero order and the first order equations, discuss the eigenstates of the operator in the equations, induct relevant " derivative states ", form the completeness of the bounded eigenstates of the associated operator in li space, and expand the corresponding parameters in the closure, get a series evolution equations of the coefficients in the expanded formulas, find the first order approximate solution by researching the evolution equations. this paper also gives the basis of this method - the completeness we have formed and the singular perturbation technique
） dinser方程的求解問題，討論了自伴運算元的本徵函數的正交性和完備性，介紹了尋求微分方程的近似解常用的攝動方法，並從帶有某種擾動項的nls方程出發，利用多重尺度的攝動方法得到了方程的零級近似方程和一級近似方程，通過對近似方程中運算元的特徵態的討論，引入適當的「導出態」 ，建立了運算元在l _ 2空間的特徵態的完備性。 -
Our main idea is to map the singular problem in high - dimensional space into a nonsingular problem in reduced dimensional space without any loss of optimal discriminatory information with respect to fisher criterion
在該理論框架下，最優鑒別矢量集的計算只需要在一個低維向量空間內進行，從而極大地提高了求解效率。 -
The existence of multiple positive solutions for a class of singular boundary value problem of impulsive differential equations in abstract space
抽象空間一類奇異脈沖微分方程的多解存在性 -
Based on this idea, a general framework for linear analysis in singular case is developed, i. e., pca is first used to reduce the dimension of image space to m ( the rank of the total scatter matrix )
更為重要的是，我們進一步揭示了高維、小樣本情況下線性鑒別分析的本質，即先作k - l變換，再用fisher鑒別變換作二次特徵抽取。 -
In the fourth chapter we deal with the eigenspace ( see 4. 1 ) and singular space ( see 4. 2 ) perturbations
第四章討論了特徵空間（見4 1 ）和奇異空間（見4 2 ]的擾動。 -
Positive solutions of singular boundary value problems in banach space
空間非線性奇異邊值問題的正解 -
The solution to these problmes will not only enrich singular integral operator theory and function space theory, but also push on the research of partial differential equations
這些問題的解決不僅會極大的豐富奇異積分運算元理論和函數空間理論，而且會對偏微分方程的研究起到推動作用。 -
Existence of positive solutions of second order singular initial value problem of impulsive differential equations in bananch space
空間二階奇異脈沖微分方程初值問題正解的存在性 -
Lsa is similar to vector space mode ( vsm ), representing textual materials with space vectors. lsa can advance the accuracy of subsequent processes by using a truncated singular value decomposition ( svd ) to remove the influences of synonymy
在技術上，它同向量空間模型類型類似，都是採用空間向量表示文本，但通過svd分解等處理，消除了同義詞、多義詞的影響，提高了后續處理的精度。 -
Besed on wavelet " s well localized characterizes in time frequency and space frequency, we can exactly depict events of nonnoise by decomposing to signal using binary - wavelet transform. for events of noise, local max can be found at singular points of signal by using wavelet transform norm of signal, so adopting multiscale wavelet analysis the maximal point of wavelet transform norm, which risen by the noise, with increasing of scale, which rien by the fault appeared. gived a properly threshold and compared the relation of data that have been transformed not only find the fault in the low noise signal but also resume the signal by filtering noise, which have good power of examining singular signal being unexpectedly change
對于噪聲中的事件點，利用信號的小波變換的模在信號的突變點取得局部最大值，採用多尺度（多分辨）小波分析，則隨著尺度的增大，噪聲引起的小波變換模的極大值點迅速減少，而故障引起的小波變換模的極大值點得以顯露，我們給出一個適當的閥值，比較閥值和變換后數據的關系，不但可以在低信噪比的信號中監測到故障信號，而且可以濾去噪聲恢復原信號，對突變的奇異性信號具有良好的監測能力，能夠有效地找出噪聲中的事件點。
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