generalized sum 中文意思是什麼

generalized sum 解釋
廣義級數的和
  • generalized : 廣義的
  • sum : SUM ＝surface to underwater missile 艦對水下導彈[飛彈]。n 1 總數，總計，總額；【數學】和。2 〈the...
  1. In this paper we will give a identity and two sharper asympotic formulas of the generalized cochrane sum

    本文中我們將給出廣義cochrane和的一個恆等式及兩個較為精確的漸近公式。
  2. In this paper, we will more deeply research on the base of the works, the first part, we give the summarize for the condition and the significance. the second part, we give the preparation knowledge to the whole paper ; the third part, we research the lower and upper bound of the generalized hamming weights for the linear codes ; include d ( r, n, k ) bound, the finite sum representation of the lower and upper bound function of generalized hamming weights for linear codes, generalized griesmer bounds ; the 4 - th part, research the definition, the property of the r - th generalized weights for the non - linear codes and non - linear constant codes, and give the expression of the generalized weight of binary ( n, m, d ) non - linear codes ; the 5 - th part, research the weight hierarchy of linear codes and non - linear codes, for example, necessary condition and sufficient condition, the 6 - th part, we research the expression of the r - th generalized hamming weights of reseaval classes codes

    本文在已有的基礎之上作了進一步的探討，第一章綜述了廣義hamming重量的現狀和意義；第二章給出了全文的預備知識；第三章研究了線性碼的廣義hamming重量的一些上下界；包括d （ r ， n ， k ）界，上下限函數有限和表達式，廣義griesmer界；第四章討論了非線性碼及非線性等重碼的廣義hamming重量的定義、性質，給出了2元（ n ， m ， d ）非線性碼的第r廣義hamming重量的表達式；第五章研究了線性碼、非線性碼的重量譜系；第六章給出了幾類碼的廣義hamming重量的表達式，這些碼包括直和碼（ directsumcodes ） 、笛卡爾積碼（ cartesianproductcodes ） 、張量積碼（ tensorproductcodes ） 、延長hamming碼。
  3. As the generalization of lifting modules, in section three, the conception of x - lifting module are defined and we study the sufficient condition for the direct sum of two x - lifting modules is x - lifting module. as the corollary, the sufficient condition that the direct sum of two lifting modules is lifting module is obtained. in section four and five, the conceptions of fi - lifting modules, ssrs - modules and weak lifting modules are introduced, which also generalized the lifting modules, and we study their basic properties such as direct sum, direct summand etc

    在第二部分中，通過引入相對co - ojective模的概念，我們給出了兩個提升模的直和仍是提升模的又一個充分條件，得到了一系列與擴張模相對偶的結論，作為提升模的推廣，在第三部分中引入了x -提升模的概念，討論了兩個x -提升模的直和仍是x -提升模的充分條件，作為推論可得到兩個提升模的直和仍是提升模的充分條件，在第四部分和第五部分中分別引入了fi -提升模， ssrs -模和弱提升模的概念，從三個不同方面推廣了提升模，並討論了這些模的基本性質，如直和，直和因子等。
  4. The main part and key technique of the cpa system is study : the generation of the femtosecond laser pulse is study, the modulation and maintenance of the ti : s laser is learned ; the types of the measurement for ultrashort laser pulse is generalized and the interferometric autocorrelation is expatiated ; the varieties of the stretchers is sum up and aberration - free stretcher is calculated and optimized to improve the stretching ratio ; the pulse selection is analyzed and a single pulse can be selected successful from the pulse train at a repetition rate of 82mhz ; the kinds of the amplifier in cpa system is gathered up, the eight - pass pre - amplifier and a good many effects in it is investigated. finally, the second, third and fourth - order dispersions in cpa system is analyzed systemicly, and the according means for dispersion compensation is worked out

    對cpa系統的主要環節及關鍵技術進行了研究：掌握了鈦寶石激光器的調節和維護技術，較深入地研究了飛秒激光脈沖產生的機理，其中對群速色散、自相位調制、自鎖模等問題進行了詳盡的分析；總結了超短激光脈沖的測量技術，重點研究了干涉自相關測量法；在總結展寬器類型的基礎上，對無象差展寬器進行了理論計算、優化設計，提高了展寬倍數；深入論述了脈沖列的選單問題，熟練掌握了脈沖選單技術。
  5. In this paper, we present the sufficient and necessary condition for the sum of a identity matrix and a generalized cyclic matrix is nonsingular, and obtain the formal representation of the relative gain array of the sum matrix

    本文給出了單位矩陣與廣義循環矩陣的和矩陣的非奇異的充要條件，得到了這樣和矩陣的相對增益陣列的顯示表達式。
  6. It is found that, tinder certain conditions, the first or the second perpendicular phase component of the multi - mode functional superposition stale ligh field can present any generalized nonlinear equal - power higher - power sum - squeezing effect which changes periodically

    結果表明，在一定的條件下，該態的第一正交相位分量（即廣義磁場分量）和第二正交相位分量（即廣義電場分量）分別呈現出周期性變化的廣義非線性等冪次高次和壓縮效應。
  7. 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。
  8. The relationship between the rank of partitioned matrix and the one of submatrix is given with the partitioned matrix of the generalized inverse matrix, and the range of the rank of three matrices sum is obtained

    摘要用分塊矩陣的廣義逆矩陣給出了分塊矩陣的秩與子塊秩的關系，及三個矩陣和的秩的范圍。
  9. In the forth chapter, a necessary and sufficient condition of the approximation by the partial sum of the generalized baskakov operators is discussed

    第四章給出廣義baskakov運算元用其部分和來代替進行逼近的一個充分必要條件。
  10. By using matrix theory and the theory of finite fields, we study the applications of projection matrix, permutation matrix, difference matrix, hadamard product, the generalized hadarnard product, kronecker product, kronecker sum and the generalized kronecker sum to construction of orthogonal arrays

    本文利用矩陣理論和有限域理論，研究了投影矩陣、置換矩陣、差集矩陣、 hadamard積、廣義的hadamard積、 kronecker積， kronecker和、廣義的kronecker和在構造正交表方面的應用。
  11. It is found that whether the squeezing - power - number is an odd or even number, or whether the product of the squeezing - power - number and the total cavity - mode - number is an odd or even number, while some 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, 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 involved, of all the single mode coherent states light field, v the state can always display the effects of generalized nonlinear equal - power n - th power y - squeezing and unequal - power nj - th power y - squeezing, or present the effects of generalized nonlinear equal - power n - th power h - squeezing and unequal - power nj - th power h - squeezing, which changes alternatively and periodically

    結果發現：無論壓縮次數或者壓縮次數與腔模總數這兩者之積取奇數還是取偶數，只要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，那麼態| _ 5 ~ （ （ 3 ） ） _ q的第一和第二這兩個正交相位分量就可分別呈現出周期性變化的、廣義非線性等冪次n次方y壓縮和不等冪次n _ j次方y壓縮或者等冪次n次方h壓縮和不等冪次n _ j次方h壓縮效應。
  12. Abstract : with structural matrixes and the result of thesis [ 1 ], a class of sum ( product ) inequalities can be proved and cauchy inequality and some results in the existing articles can be generalized

    文摘:本文通過構造矩陣和利用文[ 1 ]的結果，證明了一類和（積）式不等式，推廣了柯西不等式及一些已有文獻中的結果。
  13. Trend prediction and fault diagnosis tech., etc. the information intelligent processing technology facing the application is presented as an emphasis. after introducing the development situation and the whole pattern on related fields, this paper describes several algorithm applied in the simulation experiment, including direct multi - steps nonlinear autoregressive - moving average ( narma ) prediction model based on diagonal recurrent neural networks and fuzzy neural networks model based on generalized probability sum ( gps ) and generalized probability product ( gpp ), and lists the algorithm steps facing the application

    作為重點，本文辟用了較大的篇幅討論面向應用（主要是趨勢預測與故障診斷）的集成智能信息處理技術，在介紹相關領域的發展情況和總體格局之後，重點闡述了幾種基於神經網路的智能演算法，包括基於對角遞歸神經網路（ drnn ）的直接多步非線性自回歸滑動平均（ narma ）預測模型，以及基於廣義概率和（ gps ）與廣義概率積（ gpp ）兩種運算元的模糊神經網路模型，給出了它們的詳細演算法及面向應用的運算步驟。
  14. In chapter 2, we give some important properties of metapositive definite matrices, the expression of real and imaginary part about eigenvalues of real square matrices as well as the range of eigenvalues of real square matrices ( especially the range of their imaginary part ). on the other hand, we sum up, establish and extend some necessary and sufficient conditions of metapositive definite matrices roundly. in chapter 3, we give some important properties of complex positive definite matrices, the expression of real and imaginary part about eigenvalues of complex square matrices as well as the range of eigenvalues of complex square matrices. on the other hand, we sum up, establish and extend some necessary and sufficient conditions of complex positive definite matrices roundly. in summary, we discuss in terms of set theory the relation among real symmetric positive definite matrices, hermitian positive definite matrices and two types of generalized positive definite matrices - metapositive definite matrices and complex positive definite matrices

    第一章：除引入hermite矩陣、 hermite正定矩陣和實對稱正定矩陣較重要的性質外，還建立了它們的其它一些重要性質，尤其較全面地總結和建立了它們的若干充分和必要條件；第二章：建立了亞正定陣的一些重要性質，給出了實方陣的特徵值實部和虛部的表達式，並導出了實方陣的特徵值范圍尤其是導出了其虛部范圍，同時著重較全面地總結、建立和推廣了亞正定陣的若干充分和必要條件；第三章：建立了復正定矩陣的一些重要性質，給出了復方陣的特徵值實部和虛部的表達式，並導出了復方陣的特徵值范圍，同時著重較全面地總結、建立和推廣了復正定矩陣的若干充分和必要條件；全文小結：從集合論的觀點出發，對已討論過的四類正定矩陣? ?實對稱正定矩陣、 hermite正定矩陣、亞正定矩陣和復正定矩陣之間的關系作了比較細致的論證與探討。
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