symmetry function 中文意思是什麼

symmetry function 解釋
對稱變換
  • symmetry : n. 對稱；勻稱；調和；勻稱美。 bilateral symmetry 左右對稱。 radial symmetry 輻射對稱。
  • function : n 1 功能，官能，機能，作用。2 〈常 pl 〉職務，職責。3 慶祝儀式；（盛大的）集會，宴會。4 【數學】...
  1. 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。
  2. Furthermore, due to the symmetry restriction of traditional radial basis function networks ( rbfn ) with gaussian function, the asymmetric gaussian basis function ( agbf ) is proposed to construct the full adaptive agbfn. because the asymmetry gaussian function ' s variability and malleability are higher than the traditional one, the asymmetry gaussian basis function can provide the agbfn which own a higher flexibility and can approach the true result more easily

    針對這一問題，文中提出了一種全自適應的不對稱高斯基函數網路（ agbfn ）結構，網路的基函數採用具有不對稱寬度的偽高斯函數，和常規的高斯函數相比，具有更大的可變性和延展性，從而使得隱層神經元在函數近似上具有更高的適應性，提高了神經網路的學習能力。
  3. In each iteration, no trigonometric function is used and only two multiplications are required. by taking the advantage of symmetry, only the points in one octant are need to be generated

    該演算法避免三角函數的運算，每步僅需兩次乘法，並且充分利用對稱性只計算一個八分象限的點。
  4. The spectral analysis of non - orthogonal functions cannot be obtained by orthogonal integration method. only the spectral analysis of some particular non - orthogonal functions can be realized by integral transformation. thus, the concept of reflection matrix is proposed and the mirror symmetry of spectral analysis for non - orthogonal function is revealed. any element functions whose reflection matrix can be obtained possesses its inverse element function. the spectral vector corresponding to an element function possesses its inverse spectral vector corresponding to the inverse element function. by reflection matrix the mapping relation of element function pair and spectral vector pair can be established. spectral analysis of non - orthogonal functions can be obtained with this symmetry by using the integration method as in the case of orthogonal functions, instead of calculating the inverse matrix as usual. so a convenient and practical method for spectral analysis of non - orthogonal functions is offered

    非正交函數不能利用正交積分來實現譜分解.僅有某些特殊的非正交函數可以通過積分變換實現譜分解.本文提出了反射陣的概念，揭示了非正交函數譜分析的鏡像對稱性.任何能夠建立起反射陣的元函數存在著它的逆元函數，並且任何基於該元函數的譜向量同時也存在著基於逆元函數的逆譜向量.元函數對與譜向量對通過反射陣建立映射關系.利用這種對稱性，非正交函數可以象正交函數一樣使用積分方法獲得譜分解結果，而不必使用求解逆陣的方法，從而為非正交函數的譜分解提供了便捷、實用的方法
  5. We proof the covariance function of covariance stationary processes is equivalent with mercer kernel function. that is, the covariance function of covariance stationary processes is a mercer kernel function ; in reverse, for a given mercer kernel function, there exists a covariance stationary processes, and the covariance function corresponded to this covariance stationary processes is the given symmetry positive - definite kernel function. it means that the covariance function is equivalent to symmetry positive - definite kernel function

    首先建立了協方差平穩過程的協方差函數與積分方程中對稱正定mercer核函數的等價關系，即協方差平穩過程的協方差函數是對稱正定mercer核函數，反過來，對給定的對稱正定核函數，證明了存在協方差平穩過程，使得此協方差平穩過程對應的協方差函數恰好為給定的對稱正定核函數，這說明協方差函數和對稱正定核函數是等價的。
  6. Hi the aspect of symmetry analyzing to the hopfield model neural network with hebbian learning, we study on the dynamical behavior of the state space under the action of isometric transformation group g = z2 ? n, and prove the invariant property of the energy orientation ? / / " ) of the state space under the action of g. we find that the symmetry relationship of the network is sx - sw = sh when the active function of the neuron is odd, where sx is the symmetry of the patterns set x under hebbian learning rule, sh is the symmetry of the network and sw is the symmetry of the weight matrix w of the network

    ） s _ n為手段，研究了網路狀態空間在群g作用下各點的運動情況，證明了群g作用下的不變性。證明了當神經元的激活函數f為奇函數時， hebb法則下存儲樣本集x的對稱性s _ x 、網路對稱性s _ h以及連接矩陣對稱性s _ w三者之間滿足s _ x = s _ w = s _ h的關系；同時，我們還證明了：網路穩定態集vf同一s _ h軌道中的兩個穩定態的動力學行為（能量和吸引域大小）相同；兩個等距網路h和h 1 = g ? h ， （ ? ） g （
  7. It is evident to the eye that symmetry is also important to biological function

    無庸置疑地，對生物作用，對稱顯然也扮演重要地位。
  8. The conclusion is that inductive electromotive force, gotten from sensor with the distribution regularities of weighting function, is proportional to the average flow velocity in pipe and is not relevant to the distribution of flow velocity when flow velocity is non - central symmetry with the central axis. so electromagnetic flowmeter could solve the question of high accuracy in principles

    得出按權重函數分佈規律的傳感器，在流速非中心軸對稱分佈時，感應電勢僅與平均流速呈正比，而與流速分佈無關的結論，從而從原理上解決電磁流量計了高精度測量的問題。
  9. Where several mother wavelet functions were used to expand a function, it also can be seen as vector - valued wavelets that satisfy conditions in which matrics are involved. the main works of this paper are as follows : firstly, although haar function has bad vanish property in frequency domain, it is the only normal orthonormal basis with symmetry and real short - support property

    首先，討論了對于尺度函數，相應的母小波構成空間的標準正交基的充要條件，提出了構造a尺度母小波的演算法，從理論上研究a尺度haar小波基的構造，提出了分解與重構公式，並對如何構造具有對稱性的a尺度haar小波基進行了探討。
  10. ( 6 ) as dean number is increased, the secondary flow firstly becomes symmetry and then the anticlockwise vortexes are enlarged, the contours of axial velocity and the stream function become symmetry, the secondary flow is intensified and the friction factor ratio increases

    （ 6 ）增大dean數，二次流先趨于對稱而後逆時針方向的二次渦增大，軸向速度和流函數等值線趨向于對稱，摩擦系數比增大。
  11. Therefore, it is proved that the control with high - speed on - off valves can realize the servo control function that be carried out with analog control whose control flowrate is proportional to is value. secondly, the paper builds up the mathematics model of the normal pneumatic servo system based on the symmetry structure, and the main characteristic parameters are analyzed and then introduce the theories to increase

    論文基於易於進行分析的對稱結構的高速開關閥閥控氣缸，建立了氣壓伺服系統動力機構的數學模型，分析了其主要性能參數，提出了提高純氣動伺服系統阻尼比的方法，並從理論上分析了其實現的可能性。
  12. Fourthly we use the infimum of the moment generating function to study the a - transient and a - recurrent for random walks and levy processes, give a dichotomy theorem for not one - sided processes and prove tha t the process x is quasi - symmetric if and only if x is not a - recurrent for all a < 0 which is the probability explanation of quasi - symmetry

    對于隨機游動和l vy過程，我們用矩母函數的最小值討論了他們的-常返性和-暫留性，給出非單邊過程的一個二分定理，並證明了擬對稱過程等價于過程對任意0都是-常返的，這是擬對稱的概率意義。
  13. The magical function of symmetry in solving problems of higher mathematics

    對稱性在高等數學解題中的妙用
  14. The use of wave packet to analyze the dynamics of quantum mechanical systems is an increasingly important method to the study of the classical - quantum correspondence. using the quantum gaussian wave packet analysis method, we calculate the autocorrelation function of the rectangular billiard, the peak positions of the autocorrelation function match well with the periods of the classical periodic orbits, which show that the period of the classical orbits can be produced by the time - dependent quantum wave packet method. we also discuss wave packet revivals and fractional revivals in the rectangular billiard, the results show that there are exact revival for all wave packet at each revival time. we find additional cases of exact revivals with short revival times for zero - momentum wave packets initially located at special symmetry point inside the billiard

    利用波包分析量子力學體系的動力學行為在研究經典和量子的對應關系方面越來越成為一個非常重要的方法.利用高斯波包分析方法，我們計算了矩形彈子球體系的自關聯函數，自關聯函數的峰和經典周期軌道的周期符合的很好，這表明經典周期軌道的周期可以通過含時的量子波包方法產生.我們還討論了矩形彈子球的波包回歸和波包的部分回歸，計算結果表明在每一個回歸時間，波包出現精確的回歸.對于動量為零的波包，初始位置在彈子球內部的特殊對稱點處，出現一些時間比較短的附加的回歸
  15. Then according to the mrf machine ’ s structure and motion mode, the function and assignment of mrf machine cnc system are analyzed. the design and implementation of cnc system are researched, and a set of pc - based open architecture cnc system is developed. a trace interpolated algorithm of mrf machine cnc system is advanced according to the characteristic of mrf. the symmetry axis curve surface, such as aspheric surface, which is fit for optics general equation can be machined with mrf machine by using this interpolated algorithm

    然後根據磁流變拋光機床的結構和運動方式，從工程實際應用出發，分析了磁流變拋光機床數控系統的功能和任務，研製了一套基於pc的具有開放式體系結構的數控系統，同時針對磁流變拋光的特點，提出了磁流變拋光數控系統的軌跡控制插補演算法，運用該演算法可對非球面等適用於光學通用方程表示的回轉對稱曲面進行磁流變拋光加工。
  16. 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。
  17. A secure authentication and key exchange protocol is designed in this thesis, which could prevent man - in - the - middle attack, increasing the reliability of authentication and security of key exchange. the data encryption module is implemented by openssl including symmetry key algorithm, public key algorithm, hash function. the system ’ s function is tested finally, the data transmission rate using different encryption algorithm

    研究並設計了一套基於數字證書和數字簽名技術的身份認證協議和密鑰交換協議，能夠有效地防止中間人的竊取和篡改，提高了身份認證的可靠性和密鑰交換的安全性;利用openssl標準庫函數實現系統的數據加密模塊，實現對稱加密、非對稱加密以及信息摘要的常用演算法。
  18. A general class of solutions to nonlinear scalar equations with static cylindrical symmetry is obtained in the form of a hyperbolic function series. these solutions can be used to describe a long. straight global string

    利用雙曲函數級數的技術，研究了靜態軸對稱非線性標量方程的解析解.在物理上.這些解描述了無限長的直整體弦
  19. The inverse symmetry broken at the calculation of the dissociation energy using density function theory has been discussed

    並探討了有關dft方法在計算體系離解能時的「反對稱性破壞」問題。
  20. They have a number of desirable properties not possessed by wavelets of daubechies type, namely : they have symmetry property ; the scaling function and physical space representation are identical ; expansion coefficients are easily computed ; in certain respects they are more accurate ; the functions ( but not their derivatives ) can be computed without solving an eigenproblem. the price to be paid for these advantages is the loss of orthogonality, interpolating wavelets are only biorthogonal

    本文主要的研究成果是把一維的某些結論推廣到高維，分為以下四個方面： （ 1 ）使用二元拉格朗日插值法構造二元尺度函數和小波函數，使其具有緊支性、對稱性以及函數展開式的系數易於計算等優點。唯一的缺陷是缺乏正交性。
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