finite sum造句
例句與造句
- 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(chǔ)之上作了進(jìn)一步的探討，第一章綜述了廣義hamming重量的現(xiàn)狀和意義；第二章給出了全文的預(yù)備知識(shí)；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(shù)有限和表達(dá)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(zhì)，給出了2元( n , m , d )非線性碼的第r廣義hamming重量的表達(dá)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(dá)式，這些碼包括直和碼( directsumcodes ) 、笛卡爾積碼( cartesianproductcodes ) 、張量積碼( tensorproductcodes ) 、延長(zhǎng)hamming碼。 - ( 3 ) by means of expanding the aperture function into a finite sum of complex gaussian functions , the propagation of fgbs through a paraxial optical abcd system with hard - edged aperture is studied , and the approximate closed - form equations of apertured fgbs are obtained for the first time . the results obtained by using the approximate closed - form equation and collins formula are compared , and the condition under which the approximate closed - form equation is applicable is analyzed
( 3 )利用光闌函數(shù)的復(fù)高斯函數(shù)展開法對(duì)截?cái)嗥巾敻咚构馐膫鬏斪髁搜芯?，首次得到了截?cái)嗥巾敻咚构馐诮Sabcd光學(xué)系統(tǒng)中傳輸時(shí)的近似解析傳輸公式，通過(guò)比較用近似傳物公式和colhns公式直接數(shù)值積分所得的結(jié)果，得出了近似公式的適用范圍。 - It's difficult to find finite sum in a sentence. 用finite sum造句挺難的