函數不變式 的英文怎麼說

中文拼音 [hánshǔbùbiànshì]
函數不變式 英文
functionally invariant
  • 函 : 名詞1. [書面語] （匣; 封套） case; envelope 2. （信件） letter 3. （姓氏） a surname
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 不 : 名詞[書面語] （剁物所用的木墩） a block of wood
  • 式 : 名詞1 （樣式） type; style 2 （格式） pattern; form 3 （儀式; 典禮） ceremony; ritual 4 （自然科...
  • 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
  1. In this paper, the folio wings are introduced briefly : holonomic theory ; the basic idea that d. zeilberger used to prove identities using holonomic theory. and wu method is generalized to the non - commutative weyl algebra. furthermore, dialytic method of elimination is replaced by wu method, so the prove can be extended from the single - variable hypergeometric identities to multi - variable ones

    本文簡要介紹了完整性理論， d . zeilberger利用完整性理論證明恆等式的基本思想，將吳方法推廣到不可交換的weyl代數上，用吳方法取代了d . zeilberg在證明完整性函數恆等式的理論框架中的析配消元法，從而將這種證明理論由單變量超幾何恆等式的證明擴展到多變量超幾何恆等式的證明。
  2. Then the structure unit of hexangular lattice is found according to the principle of invariable symmetry. renormalization transformation is processed when we regard the structure unit and the growth model as graphs before and after transformation respectively. after choosing the 11 thermodynamic function fugacity as parameter, we can write out the partition functions before and after transformation and the formula of renormalization transformation

    然後根據對稱性不變的原則，從整體晶格中選取結構單元，把結構單元和生長模型分別作為重整化變換前、后的圖形來進行重整化變換，選取熱力學函數易逸度為參量，寫出了重整化變換前後的配分函數和重整化變換關系式，求出了這一變換的不動點。
  3. The influence of the cloud droplet spectrum character and the spectrum growth and change is considered, which does not use a cut - off value for conversion from cloud water into rain water process. in the continuous coalescence equation, the particles fall velocity difference is not moved out from the integral, but is integrated in the equation as the function of diameter d to avoid the error of using particles average fall velocity. in the new scheme, generation rate of graupel due to the collection of snow by graupel and the collection of cloud ice by graupel are included

    雲中凝結核ccn的數濃度採用超幾何函數表示；雲水向雨水的自動轉換過程採用grabowski （ 1999 ）的公式，考慮了雲滴譜的特徵和發展變化對該過程的影響，而不是採用原方案給定閾值的方法描述該過程；對連續碰並方程不再將粒子落速差作為常量提出積分號外，而是直接作為粒子直徑函數在積分號內求解，這樣處理可以迴避使用粒子群的平均落速帶來的誤差；增加了霰和雪、霰和冰晶的碰並微物理過程。
  4. Firstly, in spherical coordinate system, the sovp formulation for the time - harmonic electromagnetic fields of the current dipole in conductive infinite - space is derived, using reciprocity theorem and transforming relations between special functions. then, selecting appropriate coordinate system, using superposition principle, the boundary - value problem of modified magnetic vector potential on the problem of a time - harmonic current dipole in spherical conductor is solved and analytical solution is obtained. finally, by means of the addition formulas of legendre polynomial and spherical harmonics function of degree n and order 1, the analytical solution in spherical coordinate system specially located is transformed into that in spherical coordinate system arbitrarily located

    首先利用特殊函數間的轉化關系和互易定理推導得到了無限大導體空間中球坐標下時諧電流元電磁場的二階矢量位形式：然後利用疊加原理，選擇合適坐標系，求解了導體球中時諧電流元的修正磁矢量位邊值問題，得到了問題的解析解；最後依據不同坐標系下電磁場解的轉化原理，藉助勒讓德多項式和n次1階球諧函數的加法公式，將坐標系特殊安放時的電磁場解析解變換到坐標系一般安放時的解析解，給出了球內電場和球外磁場的並矢格林函數。
  5. The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given

    利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。
  6. Second, we discuss the influence of environmental referance potential temperture and thermal wind on mesoscale symmetric instability. we find the expression of disturbance stream function and criterion of symmetric instability by analytical method and conclude that change caused by environmental referance potential temperture with height and thermal wind make critical richardson number and disturbance critical half - wave length of symmetric instability larger, that is to say, they benefit the occurance of symmetric instability. third, we study nonlinear perturbation analysis of mesoscale vertical circulation and evolution equation by means of f - plane. non - hydrostatic balance and filiter model

    第二，討論了環境位溫與熱成風因子對中尺度對稱不穩定的影響。運用解析的方法求出了擾動流函數的表達式和對稱不穩定的判據，發現環境參考位溫隨高度的變化與熱成風因子使得對稱不穩定臨界理查遜數及擾動的臨界半波長都變大，這有利於對稱不穩定的發生。第三，採用f平面、非靜力平衡、濾聲波模式，討論了中尺度垂直環流非線性攝動分析及演變方程。
  7. First, we reformulate the kkt systems of the constrained optimization problem and the symmetric variational inequality prpoblem into equivalent nonsrnooth equations by using the so called ncp functions

    本文研究求解約束最優化問題和對稱變分不等式kkt系統的bfgs演算法。首先利用ncp函數將問題的kkt系統轉化為等價的非光滑方程組。
  8. Using the rock resistivity meter with simulating in - situ conditions, the relations between rock resistivity and temperature were observed from 6 sandstone samples with different porosity and permeability, while samples were brine water - saturated and subjected to certain confining pressure. it is found that the resistivities of water - saturated rock samples decrease in the form of power expression with the temperature increase. although the resistivity of brine water decreases with temperature in the same rule, it can not entirely account for the decreasing of rock resistivity. the cementation factor

    利用模擬地層條件巖芯電阻率測量儀，對6塊孔隙度滲透率各不相同的砂巖巖芯，在一定圍壓條件下，巖芯完全飽和鹽水時，考察了巖芯電阻率隨溫度的變化。發現飽和鹽水巖芯的電阻率隨溫度升高，以冪函數形式下降。雖然巖芯中飽和鹽水的電阻率同樣隨溫度以冪函數形式下降，但巖芯電阻率的下降不能完全用巖芯飽和鹽水的下降表徵。
  9. By introducing proper stretchy variable and constructing boundary layer function, it concludes n - order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved

    通過引進適當的伸長變量，構造邊界層函數，得到了解的n階近似值，並利用微分不等式理論證明了解的漸近展開式的一致有效性。
  10. Moreover, when the parameter is chosen in a certain interval, it is proved that the generalized d - gap function g has bounded level sets for the strongly monotone vip. an error bound estimation of the algorithm is obtained, which partially gives an answer to the question raised by yamashita ( 1997 ) et al

    更進一步，當廣義d -間隙函數g _ （ ）中的參數取值于某一區間時，證明了函數g _ （ ）對于強單調變分不等式而言，具有有界的水平集，同時，給出了演算法的一個誤差界估計，它部分回答了yamashita等人提出的一個問題。
  11. Compared with the classical bp algorithm, robust adaptive bp algorithm possesses some advantages as following : ( 1 ) increasing the accuracy of the network training by means of using both the relative and absolute residual to adjust the weight values ; ( 2 ) improve the robustness and the network convergence rate through combining with the robust statistic technique by way of judging the values of the samples " relative residual to establish the energy function so that can suppress the effect on network training because of the samples with high noise disturbances ; ( 3 ) prevent entrapping into the local minima area and obtain the global optimal result owing to setting the learning rate to be the function of the errors and the error gradients when network is trained. the learning rate of the weights update change with the error values of the network adaptively so that can easily get rid of the disadvantage of the classical bp algorithm that is liable to entrap into the local minima areas

    與基本bp演算法相比，本文提出的魯棒自適應bp演算法具有以下優點： （ 1 ）與魯棒統計技術相結合，通過訓練樣本相對偏差的大小，確定不同訓練樣本對能量函數的貢獻，來抑制含高噪聲干擾樣本對網路訓練的不良影響，從而增強訓練的魯棒性，提高網路訓練的收斂速度； （ 2 ）採用相對偏差和絕對偏差兩種偏差形式對權值進行調整，提高了網路的訓練精度； （ 3 ）在採用梯度下降演算法對權值進行調整的基礎上，通過將學習速率設為訓練誤差及誤差梯度的特殊函數，使學習速率依賴于網路訓練時誤差瞬時的變化而自適應的改變，從而可以克服基本bp演算法容易陷入局部極小區域的弊端，使訓練過程能夠很快的「跳出」局部極小區域而達到全局最優。
  12. On the basis of this, we selected rms as feedback variable and constructed the controller g : add this controller to the right of ion radial self - edlctric force equation like equation ( 1 ). we simulated the motion of ion beam by using muti - paticle code ( partice - in - cell ( pic ) code ). the results demonstrated that the beam halo of five different initial distribution is eliminated well under the same controller. the halo intensity of k - v distribution, water - bag distribution and parabolic distribution and be reduced to zero. in the case of 3 - sigma distribution and full gauss distribution, the result is agree with minimum limitation ( 10 " ) of halo intensity of factual high intensity accelerator

    在此基礎上，選擇a為控制變量，構造延遲反饋控制器g ： g （ s glrrms （ s ）一rms （ s ） （ 2 ）同（ l ）式一致，將此控制器函數加在粒子徑向所受束自生場力方程的右邊。利用多粒子數值模擬程序（ pic ）進行了控制試驗。模擬結果表明，用同一個控制器和同一個控制參數即可實現五種不同初始分佈情況下的束運一混飩的有效控制。
  13. Abstract : from a universal formula for calculating the attenuation cross section of particles in arbitrary shapes, exact expressions for calcualting the attenuation cross section of polydisperse, small spheroids, whose rotary axes are in specific status, have been derived. attenuation cross sections of both liquid and ice particles in different shapes at different wavelengths in microwave band have been computed and analyzed. the results are informative to microwave remote sensing of precipitation

    文摘:從計算任意形狀粒子的衰減截面普遍公式出發，推導出了小旋轉橢球粒子群旋轉軸處于不同狀態時的衰減截面函數表達式，並計算分析各種狀態下衰減截面隨降水粒子相態、形狀和入射波波長的變化特徵，所得結果可用於降水微波遙感。
  14. An implicitly declared variable inside a functionthat is, one that appears on the left side of an assignment expression without the var keywordis a global variable

    函數內隱式聲明的變量（即出現在賦值表達式的左邊不帶var關鍵字的變量）是全局變量。
  15. First, the working principles of the combustion control system of marine main boiler in present use and its disadvantages are discussed in the paper ; in the light of the structure and motion traits of marine main boiler, the combustion control systems of single and double cross amplitude limits are designed. at the same time, the schematic diagram of system and recovery curves of some relative parameters are given, the system working principles and its advantages and disadvantages are discussed. based on the combustion control system of dual - crisscross amplitude limit, by selecting the independent variable, the fixed offset is improved into variable offset, the combustion control system of variable offset dual - crisscross amplitude limit is designed

    首先討論了目前船用主鍋爐燃燒控制系統的工作原理及存在的不足；針對船用主鍋爐的結構及運行特點，設計了單交叉限幅燃燒控制系統和雙交叉限幅燃燒控制系統，同時給出了系統原理圖及有關參數的過渡過程曲線，討論了系統工作原理及優缺點；在雙交叉限幅燃燒控制系統的基礎上，將固定偏置經過自變量的選取，改進成變偏置，設計了變偏置雙交叉限幅燃燒控制系統，給出了系統原理圖及有關參數的過渡過程曲線，同時也給出了空氣壓力和燃油流量正負偏置函數與變偏置折線函數的關系式。
  16. The mode shape equation for the case with bottom fixed and top simply supported can not be presented in simply periodic forms. therefore, a program msewz with matlab6. 1 is presented by author to determine and select the rational mode shape equations

    對於一端固定、一端簡支的邊界條件，因變形函數不能用簡單的周期形式表示，筆者用matlab6 . 1編制了程序msewz ，通過判斷確定出合理的變形函數。
  17. Abstract : this paper gives the constant coefficient investment - consumption model under transaction costs and discusses an important property of assets discount, i. e. the asset discount function is a basic conponent of an viscosity supersolution of the variational inequality

    文摘:在有交易費的常系數投資消費模型下，討論了資產折算的一個重要的基本性質，即給出了資產折算函數是變分不等式的粘性上解這一基本結果。
  18. At the same time, according to the excellent capability of ip curves, we study fitting and description of objects, determination of invariants of objects, symmetry detection and recognition of objects based on ip curves. in all, the main contributions in the dissertation are as follows : ( 1 ) a method of determining automatically the scale of the multiscale edge detection is proposed based on the variant distance of the variogram function, and a method of segmenting texture images is also presented. the variograin values are taken as stochastic and structural properties of texture images and variant distance is taken as the size of image window

    同時，基於隱含多項式曲線良好的物體描述與識別能力，對物體邊界輪廓的擬合、描述、不變量特徵的提取、識別以及物體對稱性檢測作了系統的研究，主要成果及創新之處有： （ 1 ）基於變差函數的變程，提出了圖像多尺度邊緣檢測中尺度大小的自動確定方法；將變差函數的變差值作為紋理的統計和結構特徵，依據變程確定窗口大小，給出一種新的紋理圖像的分割方法。
  19. 4. after changing the short - term profit function to possion jump process, in the view of that the derivated partial differential equation of the option pricing which different from black - scholes partial differential equation still is that interest rate is constant ( 4. 2 ), the model which does not accord with the real market under the assumption. at last, we derivat a new model of option pricing whoso profit rate is possion jump process under stochastic interest rate ( 5. 13 ), this model not only changes the form of the short - term profit function of the stock price model and avaids the simplization of the profit rate function the unusual flunction sources bring about, but also relaxes the basis assumption of black - scholes option pricing model and makes that the partial differential equation builds the foundation which even approaches the actual market

    4 、將短期收益率函數由確定函數修改為possion跳躍過程后，文[ 15 ]推導出的期權定價偏微分方程（見方程4 . 2 ）雖然推廣了black - scholes期權定價偏微分方程，但此時依舊假設利率是常數，這與實際生活中的不符，我們研究了一個隨機利率下短期收益率函數是possion跳躍過程的期權定價模型（見5 . 13 ） ，該模型既改變了股票價格波動源模型中短期收益率函數的形式，避免了異常波動源帶來的收益率函數的簡單化。
  20. Though we know the forms of partition function before and after transformation, we will not study directly the property of partition function itself but the transformation which makes it unchanged with the idea of renormalization group

    我們雖然利用p - v路方法寫出了重整化變換前後配分函數的形式，但並沒有直接研究配分函數本身的性質，而採用了重整化群的思想，研究使配分函數保持不變的變換。
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