數學非偶性 的英文怎麼說

中文拼音 [shǔxuéfēiǒuxìng]
數學非偶性 英文
unevenness
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 學 : Ⅰ動詞1 （學習） study; learn 2 （模仿） imitate; mimic Ⅱ名詞1 （學問） learning; knowledge 2 （學...
  • 非 : Ⅰ名詞1 （錯誤） mistake; wrong; errors 2 （指非洲） short for africa 3 （姓氏） a surname Ⅱ動詞1 ...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 數學 : mathematics
  1. The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p - polynomials, as well as the permutation theory over finite field : the new definition of chrestenson linear spectrum is given and the relation between the new chrestenson linear spectrum and the chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field ; the distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field gf ( 2 ) and prime field fp ; the relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed ; using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized bent functions over its prime field ; the existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p - polynomials over finite field

    重新定義了有限域上邏輯函數的chrestenson線性譜，考察了新定義的chrestenson線性譜和原來的chrestenson循環譜的關系，並利用一組對偶基給出了有限域上邏輯函數的反演公式；給出了有限域上隨機變量聯合分佈的分解式，並利用隨機變量聯合分佈的分解式對有限域上邏輯函數的密碼性質進行了研究；給出了有限域上邏輯函數與相應素域上向量邏輯函數的關系，探討了它們之間密碼性質的聯系，如平衡性，相關免疫性，擴散性，線性結構以及非線性度等；討論了有限域上邏輯函數各類線性結構之間的關系，並給出了任意點都是線性結構的邏輯函數的全部構造，由此引出了有限域上的「泛仿射函數」的概念；考察了有限域上邏輯函數的退化性與線性結構的關系、退化性與chrestenson譜支集的關系；給出了有限域邏輯函數非線性度的定義，利用有限域上邏輯函數的非線性度與相應素域上向量邏輯函數非線性度的關系，考察了有限域上邏輯函數的非線性度與線性結構的關系；利用有限域上邏輯函數與相信息工程大學博士學位論文應素域上向量邏輯函數的關系，揭示了有限域上的廣義bent函數與相應素域上的廣義bent函數的關系，以及有限域上的完全非線性函數與相應素域上向量廣義bent函數之間的關系;給出了任意有限域上任意。
  2. The results show that under the condition of the squeezing - power - number being an any even number or the pruduct of the squeezing - power - number and the total cavity - mode - number being an any even number, if some certain and fixed conditions are satisfied respectively by the initial phase of each mode in the state or the sum of the initial phase of each mode in the same state mentioned above, by the initial phase difference between any two components in the state, and by the sum of mean photon - numbers, which are modulated by the initial phase of each mode in the state mentioned, of all the single mode coherent states light field, the state can always display the effect of generalized nonlinear equal - power n - th power y - squeezing, or present the effect of generalized nonlinear equal - power n - th power h - squeezing, that changes alternatively and periodically

    結果發現：在壓縮次數取偶數或者壓縮次數與腔模總數這兩者之積取偶數的條件下，若各模的初始相位或者各模的初始相位和、態間的初始相位差以及受各模的初始相位調制的各單模相干態光場的平均光子數之總和等分別滿足一定的取值條件，則態| ~ （ （ 4 ） ） _ q的第一和第二這兩個正交相位分量總可分別呈現出周期性變化的、西北人學碩{ _學位論文摘要廣義非線性等冪次n次方y壓縮或者等冪次n次方h壓縮效應。
  3. 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
  4. Nonlinear programming which is considered to be recreation of the finite dimension optimization classical theory is a very important and active branch of opsearch. characteristic of nonlinear programming lies in : allowance of complex constraints on the optimization it studies, deep analysis of optimality and duality, emphasis on summarizing theorem and establishment of feasible algorithm

    非線性規劃是運籌學數學理論中特別重要而又活躍的一個分支，可認為它是有限維最優化經典理論的再創造，其特徵主要在於：所研究的最優化問題允許復雜的約束，對最優性、對偶性諸方面進行深入的分析，並強調進行理論概括和提出可行的演算法。
  5. Thus ， for instance ， it may come as a shock to mathematicians to learn that the schrodinger equation for the hydrogen atom is not a literally correct description of this atom ， but only an approximation to a somewhat more correct equation taking account of spin ， magnetic dipole ， and relativistic effects ； and that this corrected equation is itself only an imperfect approximation to an infinite set of quantum field - theoretical equations

    因此，舉例來說，對數學家而言，了解到下述情形可能會令其驚愕不已，即薛定諤（ schrodinger ）的氫原子方程式並非是對該原子作出的一種絕然正確的描述，而僅僅是個近似值，趨近於一個在某種程度上更為正確的將自旋、磁性偶極子、以及相對論效應考慮在內的方程式；而這個得以糾正的方程式就其本身而言也只是一個不完美的近似值，趨近於無窮無盡的一整套量子場論方程式。
分享友人
分享到 Line

分享到臉書