point singularity 中文意思是什麼

point singularity 解釋
奇點
  • point : n 1 尖頭，尖端；尖頭器具；〈美國〉筆尖；接種針，雕刻針，編織針；小岬，小地角；【拳擊】下巴。2 【...
  • 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。
  1. When the escape velocity at a certain distance from the center reaches the speed of light, an event horizon is formed within which matter must inevitably collapse onto a single point, forming a singularity

    當離中心某個距離的逃逸速度達到光速，形成一個活動視界，在裏面的物質一定不可避免在單一點之上坍塌，形成一個奇異點。
  2. Ray kurzweil, in his book the age of spiritual machines, calculates that there have been 32 doublings since world war ii and that the singularity point ? the point at which total computational power will rise to levels so far beyond anything that we can imagine that it will appear nearly infinite and thus be indistinguishable from omniscience ? may be upon us as early as 2050

    科茲威爾在他《心靈機器時代》一書中計算，從第二次世界大戰以來，已經有了32次的倍增，而奇異點的來臨（意指所有電腦運算能力都提升到一個超越想像的水準，因而彷佛具有無窮的能力，已經無異于無所不知）可能就近在2050年。
  3. Eigenequation about singularity, singular stress fields and electrical displacement fields near the interface edge are obtained under axisymmetric distortion. finally, a special finite element formulation which is based on the principle of minimum potential energy has been developed for determining the orders of the singularity of the singular stress fields around the singular point ( interface edge, interface corner and the interface crack ) in the bonded dissimilar anisotropic / anisotropic, piezoelectric / piezoelectric as well as piezoelectric / anisotropic materials. the numerical results show that this method is very convenient and efficient

    最後，從最小勢能原理出發，在僅僅考慮奇異性支配區域這一前提下，對于彈性接合材料的平面變形問題和擬平面應變問題，以奇異點為原點分別建立極坐標系和圓柱坐標系，通過分部積分消除廠項，從而使奇異性問題的求解由原來的二維降為一維；對於三維變形問題，以奇異點為原點建立球坐標系，通過分部積分消除項，從而使奇異性問題的求解由原來的三維降為二維。
  4. The main job of this research is : ( 1 ) analyze the operation situation of power system during faults ; pay attention to the traveling wave on the three - phase transmission line ; study the equation of voltage on three - phase transmission line with impedance capacitance coupling between phases ; contact the voltage on any point with the fault voltage, study the singularity of the voltage signal in fault point, and make it to be the base of the new fault detection method ; ( 2 ) apply the singularity detection theory based on wavelet analysis to the power system faults detection, give a complementary criterion to current fault detection criterion, study how to select the basic wavelet, how to filter noise, how to detect the singular point or fault point, and finally give a total solution. the simulations prove it to be a quick, correct and effective fault detection method

    本文的主要工作有： （ 1 ）分析電力系統在發生故障時的運行狀態，尤其對三相傳輸線上的故障行波進行了分析和研究，推導了考慮相間耦合的三相傳輸線電壓方程，並將傳輸線上任一點的電壓與故障點電壓建立起聯系，得出了傳輸線上電壓信號在故障點處的奇異性，並以此作為構造新的故障檢測演算法的理論基礎； （ 2 ）將基於小波變換的信號奇異性檢測理論運用於電力系統故障檢測中，針對目前相關研究的不足，提出了電力系統故障檢測判據的補充判據，通過對基本小波的選擇、除噪措施、信號奇異點也即故障點的檢測方法所作的分析，給出了一個可行的解決方案；模擬研究表明：這是一個快速、準確、有效的故障檢測演算法。
  5. Through constituting appropriate homotopy equation, we convert ncp ( f ) to solving the homotopy equation. without assumption of regular or non - singularity for vf ( r ) ( which is the jacobian of f ( x ) ), we prove that the homotopy equation has a bounded solution curve starting from ( w ( 0 ), 1 ), and its end point is the solution of ncp ( f )

    在不需要非線性映照f （二）的jacobian矩陣甲f （二）正則或非奇異的限制下，我們證明了所構造的同倫方程有一條從（二（ 0 ） ， l ）出發的有界的解曲線，而其終點就是我們要求的ncp （ f ）的解。
  6. We extend this method to the problem of a domain which boundary is an open arc or an open segment. in this paper, we simulate the singularity of solution in extreme point of open arc or open segment by singular element

    本文還把此方法推廣到求解區域邊界是直線段或者開弧段的情況，採用引入奇異邊界單元的方法來模擬解在開邊界端點附近的奇異性。
  7. Taking account of the corresponding characteristic of the signal singularity and wavelet transform module maximum in multi - scale changing, the discrete wavelet transform is applied to get the featured inflection point of negative pressure wave

    利用信號奇異點與小波變換模極大值在多尺度上變化對應的性質，將離散小波變換應用到獲取壓力波信號序列特徵奇異點中，可以對泄漏點進行定位。
  8. Surveying power harmonic using the special effect on detecting singularity point and high resolving degree in time domain of wavelet, combined with the exact frequency resolving ability of fast fourier transform

    利用小波變換突出的奇異點監測效果和較高的時域解析度，結合快速傅立葉變換準確的頻域分辨能力進行電力系統諧波分析。
  9. The sib of differential - algebra equation ( dae ) can be interpreted as one mechanism of transient voltage unstable or voltage collapse, and this mechanism is illustrated under multi - machine system. moreover, the algorithm for search sib point under multi - machine system is proposed. the study of dae model and its singularity - perturbed model shows that they are different in essence

    微分-代數方程下的奇異誘導分岔可作為暫態電壓崩潰的一種機理解釋，在典型系統中詳細地分析了該機理，並在多機系統中構造出相應的算例，此外還提出了在多機系統中計算奇異誘導分岔點的演算法設想。
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