奇異基數 的英文怎麼說
中文拼音 [jīyìjīshǔ]
奇異基數
英文
singular cardinal-
In the first part of the paper, the development of motor control system fault diagnosis theory is summarized. on the basis of the analysis of the characteristics of wavelet, the theory is discussed and the definition of the singularity is given. because of the localization property of wavelet transform, wavelet analysis can be used to detect the characteristics of the singularity from the signal and intermittence fault problems lying in the motor under test
著重介紹了小波分析在電機控制系統故障診斷中的應用，根據小波理論在時域和頻域良好的局部化性質，討論了利用小波變換來檢測信號的奇異特徵的原理，給出了小波變換對信號奇異性特徵檢測的方法，針對實際應用，對小波基函數選取及小波分解尺度進行了探討。Digital image watermarking algorithm based on dwt and svd
基於小波變換和奇異值分解的數字水印演算法Watermarking algorithm for digital image based on dct and svd
一種基於離散餘弦變換和奇異值分解的數字水印演算法At first, the paper confirms singular area by singular detection, then designs a series of low - pass filters that have different templates according to the different position in finger image for a local area, at last sets up gabor filter parameters according to the characteristics of fingerprint image. the improved enhancement algorithm has a better robust, and can preserve texture structure of singular area effectively. in binary noise clearance, the paper presents an algorithm that clears the biggish white speckles and black speckles
在指紋圖像增強方面，本文針對傳統的基於gabor濾波器指紋圖像增強演算法魯棒性差以及通常會改變奇異區紋理結構的缺點，對原有演算法進行了一些改進:首先通過檢測奇異點確定奇異區，然後根據局部區域在指紋圖像中的位置構建相應取值方式的低通濾波器並對該局部區域方向圖進行濾波，最後根據指紋圖像紋線的特點對gabor濾波器參數進行設置。Discussion of the data compression method based on singular value decomposition
基於奇異值分解變換的數據壓縮方法探討We analyze the assembly model and propose a mathematics model and tree - representing model of the assembly who not only has a small data size, but also can be manipulated easily. this thesis not only gives the virtual representing concept the instance representing one, but also defines the concept of assembly constraint such as coupling, being alignment, being coaxial and being equidirectional. based on such concepts, a revised newton - raphson iterative algorithm is proposed, which can deal with the singularity and ill - condition of jacobi matrix
首先分析了裝配體的模型問題，提出了裝配體的數學模型及樹形式表示的裝配體表示模型，模型具有數據量小、操作簡單的優點：文章對所涉及的約束諸如耦合、對齊、同軸、同向的裝配體位置描述概念進行了定義，引入了裝配約柬概念，從而提高了裝配設計效率；在此基礎上，文章討論了裝配約束的求解方法，提出了newton rapson迭代法的改進演算法，使得系統能更好地處理jacobi矩陣的奇異和病態的情形。The advent of the internet and the wide availability ofcomputers, scanners and printers make digital data acquisition, exchange and transmission a simple task. however, making digital data accessible to others through networks also creates opportunities for malicious parties to make salable copies of copyrighted content without permission of the content owner. digital watermarking is likely to be a potential solution to this problem. digital watermarking has been proposed as a solution to the problem of copyright protection of multimedia documents in networked environments. it makes possible to embed a watermark ( such as identification data, serials number, text or image etc. ) to multimedia documents allowing copyright protection, secret communication, document authentication and so on. in this paper, we present a new digital image watermarking method based on svd ( singular value decomposition ), and then give some theoretical analysis about the algorithm. extensive experimental results show that this method is much more robust than other methods presented before
隨著計算機和網路技術的飛速發展，數字圖像、音頻和視頻產品愈來愈需要一種有效的版權保護方法，另外通信系統在網路環境下的信息安全問題也日益顯露出來.數字圖像水印技術為上述問題提供了一個潛在的解決方案.所謂水印技術就是將數字、序列號、文字、圖像標志等版權信息嵌入到多媒體數據中，以起到版權保護、秘密通信、數據文件的真偽鑒別和產品標志等作用.本文提出了一種新的基於奇異值分解的數字水印演算法並且對該方法的理論基礎給出分析.實驗結果表明這種方法要比目前提出的流行演算法魯棒Based on the fundamental solution of two perfectly bonded elastic halfspaces, and using the boundary integral equation method and the finite - part integral concepts, the problem is reduced to a hypersingular integral equation in which the unknown function is the crack opening displacement discontinuity
首先根據雙材料空間的彈性力學基本解，使用邊界積分方程方法，在有限部積分的意義下導出了以裂紋面位移間斷為未知函數的超奇異積分方程。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。Using the theory of conformal transformation, the planar figures of the workspaces are mapped. on the study of the spherical 3 - dof serial mechanism workspaces, we can give the reachable workspace, the atlases of reachable workspaces, the mobile workspace and the atlases of mobile workspace of the spherical 3 - dof parallel mechanism which given geometric parameters. from these atlases, we can see that the mechanical function is better when 1, 2 was given and 1, 2 tend 90
再次對球面機構的性能進行研究，利用保角變換理論將球面機構工作空間在平面中表示，在分析串聯球面機構可達工作空間的基礎上，得出給定機構參數的並聯球面機構的可達工作空間和可達工作空間面積性能圖譜，得出對應于不同靈活度的靈巧工作空間和靈巧工作空間面積性能圖譜，結論表明，在給定機構參數_ 1 ， _ 2的情況下， _ 1 ， _ 2越是靠近90 ，其可達工作空間和靈巧工作空間面積越大；利用雅可比矩陣對機構進行奇異位形分析，得出幾種特定機構參數的奇異位形。Chapter two focuses on the basic characteristics of the beauty of mathematics and its gradation which lays the theoretical foundation for the beauty of mathematics. the basic characteristics can be summarized as conciseness, symmetry, uniqueness and unity and the connotation, the manifestation and the ideology of each characteristic are analyzed in detail. in addition, the beauty of mathematics is divided into three levels in the sequence from exterior to interior and from junior to senior, i. e., external formal beauty, internal rational beauty and creative beauty
第一部分包括前二章：第一章探究了美與數學美的概念，提出了「美和數學美」的定義，分析了其實質與內涵；第二章著重論述了數學美的基本特徵及其層次劃分，將數學美的基本特徵概括為簡潔性、對稱性、統一性和奇異性，詳細分析了每個特徵的內涵和表現形式，最後從外到內、低到高將數學美劃分為外在形式美、內在理性美和創造美三個層次，奠定了數學美的理論基礎。Lyapunov exponent depict the discrete extent of chaotic dynamic system. there propose an estimation of one step prediction error based on lyapunov exponent, the estimation express the reliability of prediction numerically. at the same time, in order to improve the predictive precision it drew out an error complement methods creatively to correct one step prediction
Lyapunov指數定量刻畫混沌離散動力系統的平均發散程度，基於lyapunov指數作出了一步預測的誤差估計，以此來定量反映預測的可靠性；根據奇異吸引子流形的性質，創造性的提出殘差補充法，對預測值作出修正以降低誤差，提高預測精確性。A great lot of analysis and experimental results indicate that the experiential formula can give more exact order than traditional methods, such as a1c, b1c, cat and svd
大量的試驗與計算機模擬表明，該經驗公式在簡訊號的分析中優于傳統的信息量準則以及基於線性代數方法的奇異值分解（ svd ）定階演算法。Its security is ensured by the difficulty of elliptic curve ' s discrete logarithm problem by means of the exclusion of supersingle and anomalous elliptic curves and the adoption of a big prime ( more than 160 bits ) for the order of base - point in elliptic curve in this scheme of data encryption
加密方案中沒有使用超奇異橢圓曲線及異常橢圓曲線，橢圓曲線上基點的階為大素數（長度160比特） ，保證了橢圓曲線離散對數問題的難解性，從而最終保證了整個方案的安全性。Based on optimal control theory and singularly perturbed theory, a singularly perturbed midcourse guidance law that guarantees air - to - ground missiles to ascent quickly is proposed. this new guidance law is a composite control law consisting of three parts : optimal climbing control using variable weighting factor method, minimum energy cruising phase control and minimum energy switching phase control. moreover, a new control logic is designed in order to remove influence of climbing control on switching phase. simulation results of a certain type of air - to - ground missile are presents. it is shown that, with simple control algorithm and feasible onboard implementation, this law not only guarantees air - to - ground missiles to ascent quickly, but also satisfies the requirements of midcourse phases. the studies have important theoretical meaning and great value of engineering application
為滿足實際作戰的要求，基於最優控制理論和奇異攝動方法，提出了一種可保證中遠程空地導彈快速爬升到最優高度的中制導律.它由變系數最優爬升控制，最小能量巡航控制和最小能量下滑控制組成.為了減小爬升段控制對下滑段的影響，提出了一種新的控制邏輯.最後針對某型空地導彈進行了模擬.結果表明，該中制導律較好地滿足了中遠程空地導彈在中制導段的要求.本文的研究結果具有較好地工程參考價值Abstract : based on optimal control theory and singularly perturbed theory, a singularly perturbed midcourse guidance law that guarantees air - to - ground missiles to ascent quickly is proposed. this new guidance law is a composite control law consisting of three parts : optimal climbing control using variable weighting factor method, minimum energy cruising phase control and minimum energy switching phase control. moreover, a new control logic is designed in order to remove influence of climbing control on switching phase. simulation results of a certain type of air - to - ground missile are presents. it is shown that, with simple control algorithm and feasible onboard implementation, this law not only guarantees air - to - ground missiles to ascent quickly, but also satisfies the requirements of midcourse phases. the studies have important theoretical meaning and great value of engineering application
文摘:為滿足實際作戰的要求，基於最優控制理論和奇異攝動方法，提出了一種可保證中遠程空地導彈快速爬升到最優高度的中制導律.它由變系數最優爬升控制，最小能量巡航控制和最小能量下滑控制組成.為了減小爬升段控制對下滑段的影響，提出了一種新的控制邏輯.最後針對某型空地導彈進行了模擬.結果表明，該中制導律較好地滿足了中遠程空地導彈在中制導段的要求.本文的研究結果具有較好地工程參考價值For necessary condition, we present a practical morse function to judge. thirdly, a problem related to parameterization singularity and forward kinematics is studied, i. e., whether there exists singularity - free path between different solutions of forward kinematics. we give a clear explanation to this problem using standard idea from differential geometry
研究了一個與參數化奇異位形有關的問題，即並聯機構運動學正解不同解之間無奇異位形連接路徑問題，採用微分幾何的基本概念解釋了同一驅動關節對應的不同正解之間是有可能有不經過驅動奇異位形的路徑的原因。Second, a numerical method for computing the higher order singular points of the nonlinear problems with single parameter is considered. based on the uniformly extended system and pseudo - arclength continuation, an uniform algorithm is given. numerical examples are computed to show the effectiveness of our algorithm
第二部分我們考慮計算單參數非線性問題中高階奇異點的計算方法，基於確定奇異點的一個普適的擴張系統，結合同倫參數的擬弧長延拓，給出了計算各類高階奇異點的一個統一演算法，通過數值例子說明了演算法的有效性。Face identification based on singular value decomposition and data fusion
基於奇異值分解和數據融合的臉像鑒別According to the relationship between the local modulus maxima of wavelet coefficients and the local singularity, and the multiresolution analysis of wavelet transformation, the blocklines is flagged. then using the method of binary image processing and mathematical morphology to get the complete blocklines, and to construct the binary control mask. the control mask identifies valid and invalid discrete phase distribution, and remains the errors of phase unwrapping within the local confines successfully
針對直接標記截斷線的困難，利用小波變換系數的模極大值與局部奇異性的關系，通過檢測多尺度小波變換系數模極大值的位置來標記截斷線的基本走向，進而採用二值數學形態學處理方法形成完整的截斷線，構成標記出極點與截斷線等易產生錯誤的區域的二元模板來，將位相展開的錯誤限制在局部范圍。分享友人