cubic equation 中文意思是什麼
cubic equation
解釋
立方次方程-
In chapter 2, we discuss the existence of homoclinic orbits for a perturbed cubic - quintic nonlinear schrodinger ( cqs ) equation with even periodic boundary conditions
第二章研究三次?五次非線性schr （ ? ） dinger （ cqs ）方程同宿軌道的不變性。 -
The quadratic nonlinear term and the cubic nonlinear term that coexist in equation ( 1 ), thus causes difficulty in studying this sort of system through the analytical method and correspondingly makes the solution of analytical expression of homoclinic orbit or heteroclinic orbit in hamilton system extremely difficult
二次非線性項和三次非線性項共同存在於方程（ 1 ）中，使得用解析方法研究這類系統的難度增大，對應hamilton系統中的同宿軌道或異宿軌道的解析表達式的求解相當困難。 -
From the dongying formation ( ed ) to neogene, the shahejie formation was located in the late diagenetic stage a1 ~ a2 ; the oil and gas pools formed in a wide scale. at present the lower e2s3, with overmatured source rocks and low porosity reservoir rocks, gets into the late diagenetic stage b - c in the northern qibei sag where is not favorable for petroleum accumulation, but the others of the shahejie formation are locate still in the late diagenetic stage a1 - a2 and propitious to form oil and gas pools based on the diagenetic numerical modeling under the condition of overpressure, we build a multiple unit cubic equation model for porosity prediction, as the result of the application of qibei sag, the prediction error is less than 2 %, and the precision excess that of foreign same model
歧北凹陷的模擬結果表明，在沙河街組沉積末沙河街組三段就進入晚成巖階段a _ 1期，油氣藏開始形成；在東營組沉積時期晚第三紀，沙河街組大部分地層處于晚成巖階段a _ 1 a _ 2期，生、儲、蓋層發育，是其主要成藏期；現今在歧北凹陷北部沙三段下部進入晚成巖階段b c期，儲層物性較差、不利於成藏，其他層段仍處于晚成巖階段a _ 1 a _ 2期，有利於油氣藏的形成。 -
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。 -
Combined with the formerly fitted expressions of the second virial coefficient, some multi - parameter virial equations are proposed. among them, a quintic virial equation was chosen to predict the vapor - liquid equilibria of some very polar fluids, and the results are notably better than those of the usual cubic equations
結合前面得到的第二維里系數擬合式，作者提出了幾種多參數維里方程，並用其中的五次方程預測了一些強極性流體的汽液平衡，結果顯著地優于常見的立方型方程。 -
The water quality respond relation of input - output measurements are established by systematic theory in this paper. according to the peculiarity of hydrology and the necessity of water quality inverse problem the multi - parameter inverse problem model based on ordinary differential equation is developed. the existence and uniqueness of the solution of the ordinary differential equation about two parameters or multi - parameter are to be proved. the unstability depending on errors between monitoring data and interpolation approximate data are analyzed and demonstrated. cubic spline interpolation function, the least two multiply and positive rule method are conjoined for obtained solution of multi - parameter. the results from this algorithm indicats its efficient to the multi - parameter identification in water quality modeling
本文應用系統理論，建立了水質多參數輸入輸出之間的響應關系；根據河流水文水質變化特點和參數反問題的需求，建立了水質常微分方程多參數反問題模型.根據常微分方程參數反問題的數學理論，作者給出了兩參數和多參數水質常微分方程反問題的解的存在性、唯一性的理論證明過程和結論；還針對水質現有監測資料的測驗誤差和插值近似計算誤差造成參數反問題的不穩定性，將三次樣條插值函數、超定方程最小二乘法和正則化演算法有機地結合使用，成功地給出了水質參數反問題的穩定化演算法.最後給出了應用計算結果 -
The stress - strain curve of new - old concrete and hprrc, are suggested to be modeled by two sections : the ascending section of the stress - strain curve is simulated by cubic parabola equation and the descending section is simulated by rational fraction, where the theoretical value is in good agreement with the test value. the research results also provide a theoretical basis of earlier stage for improving crack resistance of new - old concrete interface
新一老硅及hprrc應力一應變全曲線建議採用兩段式擬合:上升段採用三次拋物線方程模擬，下降段採用有理分式模擬，理論值與試驗結果吻合較好。該研究成果為新老混凝土結合面抗裂能力的提高提供了前期的理論基礎。 -
The cubic law which describe the law of fluid flow in fracture is based on parallel plate joint model, in this paper the cubic law is modified and non - parallel wedge - shaped joint fluid flow equation is formed, coupling relation between seepage and stress is given based on permeability and joint distortion as the linkage between two field, while the coupling mechanism is simple and explicit
描述裂隙水流運動規律的立方定律是建立在平行板裂隙模型基礎上得出的，本文對立方定律進行了修正，推導了非平行楔形裂隙水流方程，根據滲透性和裂隙面變形關系給出了單裂隙滲流與應力耦合公式，耦合的機理十分簡單、明確。 -
In chapter 2, we generalize its nonlinearity from the cubic case to the p - th power cases. through considering the cauchy problem for the generalized davey - stewartson equation in, we obtain its scattering theory
第二章中就另一種形式的具有兩個非線性項的廣義davey - stewartson方程在空間中給出了散射運算元的存在性。 -
Surface waves ), the 2d generalization of the usual cubic id schrodinger equation turns out to be the davey - stewartson equation. in chapter 1, we study the scattering for a class of nonlinear davey - stewartson equations with three nonlinearities. we proved that their scattering operator exists in h1
在淺水波理論中， davey - stewartson方程是一個非常重要的模型，它可由具有立方項的一維schrdinger方程在二維中的推廣而得到，目前，已有大量的工作致力於該方程的初值問題的研究，本文第一章中利用研究schrdinger方程散射運算元的方法來得到具有三個非線性項的廣義davey - stewartson方程的散射運算元在整個能量空間h ~ 1中存在，當然其中附加了一些必要的假設。 -
In this paper a numerical method for equations of transport and biodegradation in the fractured media is discussed. because the equations consist of terms related to advection, diffusion, biochemical as well as the term of exchange betwen the fracture and the porous media, it is very difficult to find their solution. in order to find more efficient method for solving these equations, several numerical methods for the equations without biochemical terms are discussed first. the numerical results show that the cubic spline method can be used to solve advection flow dominated problem which often occurred in the fractured media. then, the equation with both advection - diffusion term and biochemical term are discussed. the splitting - operator is used to decouple the advection and diffusion terms with biochemical term in the equations. the way to determine the smaller time step for solving fast biochemical terms is introduced through comparing the order of characteristic time of biochemical term with that advection ( diffusion ) term. numerical simulation results show that good agreement between analytical solution and experiment result is attained
本文討論了含裂隙介質地下水污染物輸運與生物降解非線性方程組數值求解方法.方程含有對流項、擴散項、生長、死亡、吸附、解吸、趨化和孔隙與裂隙介質界面間的交換項的非線性偶合，使演算法十分困難.本文討論了無生化過程時的幾種求解方法，數值結果表明：用三次迎風插值法對常見的對流項占優勢，且場變量有較大梯度的問題較適用.在討論有生化反應過程時，利用對流項與生化反應項的特徵時間量級估算，給出了求生化過程作用子步的時間步長估算辦法.用上述方法所得到的模擬結果與解析解、無化學反應和有化學反應的實測值對比，吻合很好 -
The method that simple cubic equation was changed from general to standard was introduced and the distribution of standardized real root was illustrated, which solved the problem of the distribution of any real root for simple cubic equation
摘要介紹了一元三次方程一般式化為標準式的方法，結合圖形給出了標準式的實數根的分佈情況，從而解決了任意一元三次方程的實數根的分佈的問題。 -
The principal purpose of this paper is to consider the bounds of solutions of the cubic equation with the prime variables in arithmetic progressions modulo k > 1
本文的主要目的是估計三次素變數方程的解在模k 1算術數列中的上界。 -
The research mainly included following content : 1 based on the virial equation, some of the cubic equations of state in the literature were derived appoximately and strictly, respectively, and the parameters in some quasi - empirical cubic equations were also analyzed and interpreted
本文的研究內容主要包括： 1以維里方程為基礎，對文獻中的一些立方型狀態方程分別進行了近似的和嚴格的推導，對一些半經驗立方型方程的參數進行了分析與解釋。 -
The cubic equations could be fitted well for these trends for leaf, branch and stem, while no equation was suitable for root
根生物量?總生物量比例與年齡擬合的效果則較差。 -
And the newly developed method of lame function method in solving the multi - order approximate equations of nonlinear evolution equations is also discussed. and following equations are solved in this method : nonlinear schr dinger, bbm equation, zakharov equation, kp equation, boussinesq equation and cubic nonlinear schr dinger
最後介紹在橢圓函數展開法基礎上發展而來的，利用lam函數求解非線性發展方程多級近似解的方法，並且求解了非線性schrdinger方程，非線性bbm方程， zakharov方程， kp方程， boussinesq方程和立方非線性schrdinger方程等方程。 -
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。 -
The peng robinson cubic equation of state ( pr eos ) is used to calculate thermodynamic properties of frequently used refrigerants ( r12, r22, r502 ) and prospective alternatives refrigerants ( r134a, r152a, r125 ) and mixed - refrigerants ? the result of using cfc and hfcs refrigerants is contrast to the result of mixed - refrigerants in ideal single - press circle at lower evaporating temperature
在單級和雙級兩種不同製冷循環下，研究了不同製冷工質在變蒸發溫度及變冷凝溫度的循環性能。本文採用狀態法? pr方程計算常用的製冷工質（ r12 、 r22 、 r502 ） 、有希望的替代物（ r134a 、 r152a 、 r125 ）和混合工質的熱力學性質。 -
We reviewed the historical development of j - t refrigeration cycle and its current study at home and abroad. using cubic equation of state, the vapor - liquid equilibrium of cryogenic mixtures containing nitrogen and hydrocarbons and their thermodynamic properties were calculated. based on these calculations, the system and its components were designed
綜述了混合工質j - t節流製冷循環的發展史及國內外研究現狀，採用立方型狀態方程對含氮混合工質的汽液相平衡和熱力性質進行了計算，並在此基礎上建立了j - t節流製冷系統各部件的物理模型，進行了系統的設計計算； 2 -
A quadratic equation with one variable for two - story frames and a cubic equation with one variable for three - story frames are derived from which the rotational restraint provided to each column may be solved and the effective length factors can then be determined by the traditional formula or tables
對于兩層框架，通過求解一個一元二次代數方程得到各柱柱端的轉動約束；對於三層框架，通過求解一個一元三次代數方程，得到各柱柱端的轉動約束。進而由傳統公式或規范附表得到各柱的計算長度系數值。
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