exponential equation 中文意思是什麼

exponential equation 解釋
指數方程式
  • exponential : adj 指數的，冪的。 exponential curve 指數曲線。 exponential function 指數函數。 exponential sum ...
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. It is found that with fixed laser power and increasing exposal time, the increasing of the depth of exposal grows slower, the exponential increasement can be express by the equation :, the depth of exposal becomes satured with increasing exposal time ; with fixed exposal time and increasing laser power, the depth of exposal increases linearly and can be express by the equation : y = 40

    結果表明，當固定曝光功率，不斷增加曝光時間時，曝光深度的增加趨于緩慢，程指數曲線形式變化，可表示為，當曝光時間不斷增加時，曝光深度的增加趨近於飽和;當固定曝光時間，不斷增加曝光功率時，曝光深度程線性趨勢增加，可表示為y = 40 . 5x0 . 151y = 0
  2. A diagnostic equation for n0s, the y - intercept of the assumed exponential snow distribution, is allowed to vary with snow mixing ratio. the scheme assumes a marshall - palmer distribution law for rain, snow and graupel with a constant intercept parameter n0

    該方案將雪的m ? p分佈譜參數截距n _ （ os ）表達為雪的比含水量的函數，建立了n _ （ os ）的診斷預報方程。
  3. 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。
  4. On the basis of experiment, by using the exponential viscous model, a flow constitution equation of the pattern material ( w ax stock ) used in investment casting has been established. by applying it to the n umeric al simulation system, the numerical simulation on die - filling process of the fus ible pattern material ( wax stock ) used in investment casting has been successfully realized

    在實驗基礎上，採用冪律粘度模型建立了熔模鑄造用模料的流動本構方程，將其應用到數值模擬系統中，成功地實現了對熔模鑄造用模料充型過程的數值模擬。
  5. In first part we consider the existence of the global attractor the complex ginzburg - landau equation in three dimen - sions space, the regularity of the global attractor, the exponential attractors and the existence of the global attractor in whole r ~ ( 3 )

    首先，在第一部分，考慮ginzburg - landau方程在三維空間的整體吸引子的存在性，整體吸引子的正則性，指數吸引子和三無界區域r ~ 3上的整體吸引子。
  6. Thermographical equation and thermodynamics of bacterial growth in exponential phase

    細菌指數生長期熱譜方程與熱力學
  7. In the second chapter, the kdv type equation on unbounded domain is considered. applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space, the existence of exponential attractor is obtained

    在第二章中，運用帶權空間構造一類緊運算元和運算元分解的方法，研究了無界區域上的kdv型方程，得到了該方程指數吸引子的存在性
  8. This paper suggests that the integral of the state equation is evaluated directly through the exponential matrix based on the pim, thus several series solutions are obtained. utilizing the symmetry of matrices and the idea of substructure, the computational precision and efficiency of the pim are improved

    本文深入研究精細積分及動力方程演算法，基於指數矩陣計算、 pade逼近理論，在時域上對非線性動力狀態方程直接積分求解，構建若干系統響應求解格式，並分析了演算法精度、效率；通過矩陣變換，利用矩陣對稱性、子結構等方法改進精細積分計算效率。
  9. A normalized mapping rule of raw grey series is introduced by analysis of exponential function characteristics of the whitening differential equation, which makes the non - equigap grey prediction model ngm ( 1, 1 ) fit for universal raw grey series, improves prediction precision greatly, meanwhile makes innovation to series with negative values and enlarges grey prediction theory

    通過對白化微分方程解的指數函數特性的分析，研究了原始灰序列的歸一化映射規則，使非等間距灰預測模型ngm （ 1 ， 1 ）適應一般灰序列，灰預測精度也大大提高。這亦解決了含負值灰序列預測的理論問題，拓寬了灰色預測理論。
  10. Based on the damage evolution formation depicted by kachanov of brittle materials in unitary stress state, in this dissertation, the constitutive equation of nonlinear damage material is given, macroscopically, on the assumption that damage variable is exponential relation to strain, d = ( gy i k ) ", where g is the shear module, k is the damage module and the y is the effective strain, d is damage variable and n is hardening exponent

    在kachanov描述的一維應力狀態下的脆性材料的損傷演化模型的基礎上，文中給出非線性損傷材料的本構方程，唯象地假設損傷變量與應變成冪次關系， d ~ * = （ g / k ） ~ n ，其中g為剪切模量， k為損傷模量，為有效應變因子， d為損傷變量， n為硬化指數。
  11. The hot electrons spectra with exponential form is obtained on basis of the fokker - planck equation, which is consistent with the experimental results

    這種加速譜具有指數的形式，和實驗所得到的結果相符。
  12. The linear regression models and the non - linear regression models are established respectively, which can be used in monitoring the grassland biomass based on the vegetation indices. finally, in order to establish the grassland biomass monitoring models with higher accuracy the different forms of the non - linear regression model were established respectively, including the quadric equation, the cubic equation, the logarithmic equation, and the exponential equation. the repeated tests indicated that the cubic equation is the best one in terms of the suitability of use in the study area

    建立遙感植被指數和草地生物量的一元線性回歸模型和非線性回歸模型，通過反復分析論證得出，非線性回歸模型相對於一元線性回歸模型與實測生物量更為符合；通過分析植被指數與實測生物量的不同非線性回歸模型的結果，表明三次方程y = - 18 . 626rvi ~ 3 + 220 . 317rvi ~ 2 - 648 . 271rvi + 691 . 093是最適用於監測研究區草地生物量的非線性模型。
  13. This paper develops several delay - independent conditions for the robust stability of linear interval systems with delay by applying differential equation theorem and matrix exponential properties. comparisons with previous results are made through remarks. finally, a numerical computation is presented for illustration. 25refs

    根據微分方程理論和矩陣指數特性，提出了針對具有線性區間系統的魯棒穩定性的幾個判定條件，並與現有研究結果進行了比較.給出的數值實例表明，所提出的方法改進了相關文獻的結果.參25
  14. Based on the nonlinear paraxial equation and b - t theory, a differential equation, which describes the small - scale self - focusing in gain ( loss ) media has been derived. the change rule of the maximal gain frequency, cutoff frequency and integral exponential gain have been analyzed approximately

    我們首先從非線性近軸波方程出發，基於b - t理論的思想，在考慮了介質的增益（損耗）特性的情況下，推導得出了小尺度自聚焦所滿足的微分方程，並通過近似方法分析了最大增長頻率、截止空間頻率及積分指數增益等的變化規律。
  15. Exponential attractor for the generalized burgers - bbm equation

    方程的指數吸引子
  16. We have deduced mathematical equations modeling its vibration and studied the stability of the semigroup associated with the equation system. we obtain the exponential stability under certain hypotheses of smoothness and structural condition of the coefficients of the system, applying the relaxation function decays exponentially. this result does not need the continuity of the damping coefficient at the interface

    對于具有局部粘彈性阻尼的高維波方程的能量的指數衰減問題， liuetal . 51 }和riveraetal . 63分別對k一v型和boltzmann型的情形進行了研究，在假設了阻尼系數是光滑的並且附加了一些結構性條件的情形下，得到了指數穩定性的結果。
  17. This method can guarantee the solution matrix of sylvester equation to be inverse and the sum of the input gain norm and the observer gain norm is the minimum. for the linear systems with unknown parameters, we identify the parameters using hopfield network, then design the observers using the identified parameters, the exponential convergence of adaptive observer is also proved. for the linear time - varying systems, a new network to solve the time - varying sylvester equation is proposed, we analysis it ' s convergence and robustness, then, deign the linear time - varying observer using this network model, and we discuss the convergence of the observer and ruboustness to unknown match parameters

    同時保證了sylvester方程的解矩陣的可逆性和觀測器的增益矩陣與輸入矩陣范數的和最小；在設計線性時不變自適應觀測器時，首先利用系統的輸入、輸出數據設計一個hopfield網路參數估計器，進一步設計狀態觀測器，證明了參數估計器和狀態觀測器的指數收斂性；為了仍然從神經優化計算的角度設計線性時變系統的狀態觀測器，最後介紹了一種求解時變sylvester矩陣方程的神經網路模型，分析了它的收斂性和魯棒性，然後利用該網路設計時變狀態觀測器，進一步討論該觀測器的在系統存在未建模不確定和外部噪聲時的魯棒性；最後給出了一種基於分離性原理和hopfield網路觀測器的狀態反饋閉環系統的結構，分析了該閉環系統的特點；對于每一種設計方法都給出了相應的數值模擬例子來進一步表明所提方法的可行性和有效性。
  18. Exponential stability of stochastic differential equation with time - varying delay

    變時滯隨機微分方程的指數穩定性
  19. The main results : theorem 1. 2. 2 the function ( u ) - satisfies the integro - differential equation where, theorem 1. 3. 2 if * ( ) s analytic on the complex plane except for the roots of in second chapter, we consider a risk process in which inter - arrival times have a phase - type ( 2 ) distribution, a distribution with a density k ( t ) satisfying the following second order linear differential equation : the conditions are satisfied for all convolutions of two exponential distributions ( with not necessarily equal means )

    定理1 . 3 . 2若函數~ * （ ）除了方程（ 1 . 3 . 1 ）的極點外，在整個復平面上都是解析的，則ddas 。 type風險模型是風險理論中應用比較廣泛的一類風險模型dicksonandhipp （ 1998 ）研究了索賠時間間隔服從erlang間分佈的情況，並於2001年aun了其罰金折現期望滿k一積分微分方g
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