singularity function 中文意思是什麼

singularity function 解釋
奇異函數
  • singularity : n. 1. 奇特；特別；非凡，異常；奇特的東西；怪癖，特性。2. 〈罕用語〉獨一，單一，獨個。3. 【天文學】奇點〈宇宙物體收縮至無限大密度和無限小體積的空間的一個假想點〉；【數學】奇點。
  • function : n 1 功能，官能，機能，作用。2 〈常 pl 〉職務，職責。3 慶祝儀式；（盛大的）集會，宴會。4 【數學】...
  1. In this paper, according to the wave - packet function of singularity particle in potential field of harmomic oscillator, the wavefunction and associated probability density of coupling harmomic oscillator is calculated and discussed according to the distinguishable particles and indistinguishable particles

    摘要根據諧振子勢場中單個粒子的波包函數，推導出了耦合諧振子的波函數和聯合幾率密度，特別是不可區分粒子的干涉項，並按照可區分粒子與不可區分粒子進行了討論。
  2. Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result ; it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal

    小波分析優于傅里葉之處在於，小波分析在時域和頻域同時具有良好的局部化性質，因為小波函數是緊支集，而三角正、餘弦的區間是無窮區間，所以小波變換可以對高頻成分採用逐漸精細的時域或空間域取代步長，從而可以聚焦到對象的任意細節。
  3. A new analytical method for the plane elastic or thermoelastic problem on complex multiply connected region based upon the complex potential theory of elastic mechanics built by muskhelishvili. n. i. by combining the theory of sectionally holomorphic function, cauchy model integral, the analysis of the singularity of complex function and riemann boundary problem, the analysis relation between the complex potentials is obtained, and then the problem is transformed into solving an elementary complex potentials equation

    I彈性力學復勢理論的基礎上提出一種處理復雜多連通域平面彈性與熱彈性問題新的分析方法，將復變函數的分區全純函數理論，復勢奇性分析， riemann邊值問題與cauchy型積分相結合，求得各分區復勢的解析關系，將問題歸結為一個初等復勢函數方程的求解。
  4. 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。
  5. For imcompressible, the singularity is comparatively weak bacause the velocity is divergence free that the mechanism to construct control function is much more difficult than those numerical examples we mentioned before

    對于不可壓流體，由於速度場滿足不可壓條件，所以奇異性相對較小，要構造控制函數比較困難。
  6. And then based on the generalized function and distribution theory, it presents two corollaries that are relate to singularity detection and the wavelet transform modulus maxima line ( wtmml " s )

    結合廣義函數與分佈理論，提出了兩個用於描述瞬態信號波至點檢測與小波變換模極大值曲線（ wtmml ' s ）之間關系的新推論。
  7. Lacking of space locality in time domain, fourier analysis can only make certain of the integral singularity of a function or signal. as a result, it is difficult to detect the spatial position and distribution of broken signal by fourier analysis. wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal

    經典的fourier變換把信號按三角正、餘弦基展開，將任意函數表示為具有不同頻率的諧波函數的線性迭加，能較好地刻劃信號的頻率特性，但它在時空域上無任何分辨，不能作局部分析，這在理論和應用上都帶來了許多不便。
  8. The time - frequency of the wavelet transform and the signal wavelet decomposition - reconstruction algorithm based on the multi - resolution analysis are analyzed. the signal local singularity under the wavelet transform are studied. the difference between between mallat ' s maximun modulus algorithm and donoho ' s waveshrink algorithm are analyzed, too. the denoise effect of different threshold and threshold function are studied. base on compare the advantage and disadvantage of donoho & johnstone threshold and believing - region threshold, a modified algorithm is developed : combining threshold distinguishing and shield filter method

    討論了基於mallat理論最大模數方法以及基於donoho理論的閾值萎縮去噪方法的差別，研究比較了不同閾值規則與閾值函數對去噪效果的影響；在此基礎上，結合統一閾值和置信區間閾值各自的優缺點，提出閾值判別和屏蔽濾波相結合的方法。
  9. Application of emd and wavelet transform to diagnosis machine fault in this paper a signal singularity detection method is introduced, with which the signal is decomposed into imfs ( intrinsic mode function ) by the emd ( empirical mode decomposition ) and the singularity of the imfs is extracted by the wavelet transform

    利用emd方法和小波變換進行機械故障診斷本文採用經驗模式分解（ emd ）與小波變換相結合的方法分析非平穩機械故障信號的奇異性，進行機械故障診斷。
  10. This method not only can deal with the problem of singularity, but can simplify the numerical process of interpolation function, based on the principle of minimum total potential energy, the formulas of pim are arrived

    固定節點法不但可以方便地消除系數矩陣奇異問題，而且插值過程很簡單。由勢能最小原理，推導了點插值方法的控制方程。
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