gaussian equation 中文意思是什麼
gaussian equation
解釋
高斯方程-
The motion of plunger of oleo damper excited by colored gaussian noise with exponential correlation time is governed by first order nonlinear differential equation
摘要油液阻尼器受指數型高斯色噪聲外激勵時，活塞在油腔內的運動可用一階非線性動力學方程描述。 -
The main results achieved in this thesis can be summarized as follows : 1. by means of the fourier series expansion, an approximate analytical propagation equation of flattened gaussian beams ( fgbs ) passing through an apertured paraxial abcd optical system is derived, and illustrated with numerical examples, when the transmissivity of the aperture is t ( x ) = cos ( x )
用傅立葉級數展開法研究了平頂高斯光束通過有光闌限制的近軸abcd光學系統的傳輸特性，導出了光闌透射率為t （ x ） = cos （ x ）時的近似解析傳輸公式，硬邊光闌的情況可作為= 0的特例得到。 -
On the other hand, the conformal deformation ' s problem is to find a metric on h2 ( - 1 ), conformal to g, with the given function k as its gaussian curvature, that is, it is important for us to study the solvability of the conformal gauss curvature equation in geometry analysis. the problem that the conformal gauss curvature equation may have a solution for every nonegative holder continuous function k ( x ) is also an open problem
） = e ~ （ 2u ） g使k是（ ? ）的高斯曲率，即共形高斯曲率方程的可解性研究是幾何分析中的一個重要問題。當預定的函數k取正值時，共形高斯曲率方程解的存在性命題作為一個猜測至今未得到解決。 -
Close - form equation for the transformation of hermit - gaussian beams through a optical system with hard - edged apertures
高斯光束通過硬邊光闌光學系統變換的近解析傳輸公式 -
By solving the nonlinear schrodinger equation with perturbation method and computer simulations, we have demonstrated that super - gaussian sliding - frequency filters are more effective to reduce timing jitter than conventional sliding - frequency filters without sacrificing the signal - to - noise ratio
通過求解非線性薛定諤方程和數值模擬，我們認為超高斯滑頻濾波器能很好地控制孤子的時間抖動和相互作用。 -
Based on the study of strength degradation of material in the fatigue process, a strength degradation model is proposed. a stochastic differential equation, which controls strength degradation, is obtained from the model randomized by markov process. by using the theory of stochastic, the distributions of residual strength at any given lifetime and lifetime of any given residual strength are attained. under a few suitable hypotheses, inverse gaussian distribution of fatigue life is derived, and verified by means of experimental data. the result shows that the model and the method are reasonable
在研究疲勞過程中材料強度退化規律的基礎上，建立了一個強度退化模型.對其進行隨機化處理，得到控制強度退化過程的隨機微分方程.在一定假設條件下，獲得了剩餘強度概率密度函數的封閉解，並推導出疲勞壽命的反高斯分佈形式.給出一種考慮損傷狀態對隨機漲落影響的近似處理方法.與試驗數據的比較結果表明，本文的模型和方法是合理的 -
Abstract : based on two order approximation of the variation of refraction index produced by self - action while optical pulses are traveling in kerr - medium, the propagation equation has been solved. furthermore, the strict analytical expressions of the amplitude, width and chirp parameter of chirped gaussian pulse, relative to the propagation distance, are deduced. the solitary wave traveling conditions of fundamental mode gaussian pulse have been discussed
文摘:將光脈沖在克爾介質中自作用產生的折射率變化作二階近似，求解所得到的傳播方程，得到啁啾高斯脈沖幅度，脈沖寬度和周啾參數隨傳播距離變化的嚴格解析解，討論了基模高斯脈沖孤波傳播的條件。 -
Starting from the collins formula, a recurrence equation of hermite - cosine - gaussian ( hcg ) beams propagating through a paraxial abcd system with a hard - edged aperture is derived, from which the analytical propagation expressions for apertured hcg beams of any order can be derived by using the recursive algorithm
從collins公式出發，推導出了厄米?餘弦?高斯光束通過有硬邊光闌近軸abcd光學系統傳輸的遞推公式。由遞推公式，藉助迭代演算法，得出受光闌限制的任意階厄米?餘弦?高斯光束的解析傳輸公式。 -
According to propagation equation of gaussian beam and matrix of misadjust resonator, as well as principle of cavity ring - down method and data processing of fitting, a physical model of reflectivity measuring is set up for misadjustment of cavity length or angle of titled cavity mirrors
根據光束傳輸規律和失調腔矩陣方法，以及光腔衰蕩法測量原理和曲線擬合方法，建立了腔長、腔鏡角度失調下光腔衰蕩法的反射率測量模型。 -
Abstract : based on the study of strength degradation of material in the fatigue process, a strength degradation model is proposed. a stochastic differential equation, which controls strength degradation, is obtained from the model randomized by markov process. by using the theory of stochastic, the distributions of residual strength at any given lifetime and lifetime of any given residual strength are attained. under a few suitable hypotheses, inverse gaussian distribution of fatigue life is derived, and verified by means of experimental data. the result shows that the model and the method are reasonable
文摘:在研究疲勞過程中材料強度退化規律的基礎上，建立了一個強度退化模型.對其進行隨機化處理，得到控制強度退化過程的隨機微分方程.在一定假設條件下，獲得了剩餘強度概率密度函數的封閉解，並推導出疲勞壽命的反高斯分佈形式.給出一種考慮損傷狀態對隨機漲落影響的近似處理方法.與試驗數據的比較結果表明，本文的模型和方法是合理的 -
Based on the normal equation algorithm to fir system identification and wavelet iteration, a method to estimate the wavelet from the third - order cumulant of field data is developed. due to the fact that higher order cumulant retains the phase information of the signal, and can suppress the gaussian noise ( color or white noise ) naturally, we can improve the time resolution via inverse filtering the wavelet estimated
本文在基於高階累積量的fir系統辨識基礎上，利用觀測信號的三階累積量對探地雷達子波進行估計，提出一種簡單的迭代演算法改善了波估計性能，據此進行反褶積，改善反射信號的信雜比和時間解析度。 -
Based on the nonlinear schr ? dinger equation used to describe the normalized amplitude evolution in the fiber, the influence of the third - order dispersion on the transmission characteristics of super - gaussian optical pulse with different chirps in the fiber is studied numerically
摘要從光脈沖在光纖中傳播所滿足的非線性薛定諤方程出發，研究了三階色散對具有不同啁啾的超高斯脈沖在光纖中傳輸特性的影響。 -
( 3 ) by means of expanding the aperture function into a finite sum of complex gaussian functions, the propagation of fgbs through a paraxial optical abcd system with hard - edged aperture is studied, and the approximate closed - form equations of apertured fgbs are obtained for the first time. the results obtained by using the approximate closed - form equation and collins formula are compared, and the condition under which the approximate closed - form equation is applicable is analyzed
（ 3 ）利用光闌函數的復高斯函數展開法對截斷平頂高斯光束的傳輸作了研究，首次得到了截斷平頂高斯光束在近軸abcd光學系統中傳輸時的近似解析傳輸公式，通過比較用近似傳物公式和colhns公式直接數值積分所得的結果，得出了近似公式的適用范圍。 -
Chapter 3 : we find a family of solutions of the paraxial wave equation that represents ultrashort pulsed light beams propagation in free space. these pulsed beams have an arbitrary temporal form and a nearly elegant hermite - gaussian cross section, which pulsed beams we call the ultralshort pulsed elegant hermite - gaussian beams
此脈沖光束解的每個頻率分量都是eleganthermite - gaussain光束，時間脈沖的形狀是任意的，具有相同的衍射距離參數，並且可以描述短於一個光學周期的超短脈沖。
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