冪級數解 的英文怎麼說
中文拼音 [mìjíshǔjiě]
冪級數解
英文
power series solution- 冪 : Ⅰ名詞1. [書面語] (覆蓋東西的巾) cloth cover2. [數學] (表示一個數自乘若干次的形式) power Ⅱ動詞[書面語] (覆蓋; 罩) cover with cloth
- 級 : Ⅰ名詞1 (等級) level; rank; grade 2 (年級) any of the yearly divisions of a school course; gra...
- 數 : 數副詞(屢次) frequently; repeatedly
- 解 : 解動詞(解送) send under guard
- 級數 : [數學] progression; series; number of stages; number of steps; stage number級數變換 transformatio...
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A survey of solutions of sum functions of power series
冪級數和函數的解法綜述In this paper, by using the property of fourier series a compound series consisting of trigonometric series and power series is established
摘要利用由三角級數和冪級數復合構成的函數項級數的有關性質,得到了一類變系數非齊次調和方程邊值問題的級數解。Pass the interlace series type linear differential equation that coefficient contains power function and arrangement number change into the linear differential equation of successive integral, have found out the theory and method that begs this kind of equation to know to untie. theorem have happened have given strict proof, and through example, have introduced it ' s application
摘要通過把系數含有冪函數與排列數的交錯級數型線性微分方程化為可逐次積分的線性微分方程,找出了求這類方程通解的方法與理論,把所得定理給出了嚴格的證明,並通過實例介紹了它的應用。We can solve it with the power-series method if we want.
如果願意的話,我們也可用冪級數法解題。The general solution of (5. 122) is an arbitrary linear combination of a series of even powers and a series of odd powers.
(5122)的通解是一個偶次冪級數和一個奇次冪級數的任意線性組合。Factorization in rings of generalized power series over integral domains
整環上廣義冪級數環的分解性質In chapter 2, the ii ordering is presented and the arbitrary functions and the arbitrary constants are least in the solution of formal series under the ii ordering by illustration ; furthermore, the author introduces the application of the standard form of reid to ascertain the target equation of linear constant partial equations
在第二章中,作者給出了reid標準型演算法中的型序關系,通過舉例說明在型序下,得到的形式冪級數解中任意函數和任意常數的個數最少;並提出了reid標準型的一個重要應用:確定線性常系數偏微分方程組的目標方程。The first part, the theory and application about wu - ritt differential characteristic sequence method are discussed, which involves the theories of differential equations, abstract algebra and computer algebra etc. we apply wu - ritt differential characteristic sequence method ( abbr. wu - ritt method ) to linear partial differential equations which has physics significance and give the size of solutions and formal taylor solutions
本文共分兩部分,第一部分討論微分特徵列法的理論和應用問題,涉及到微分方程,抽象代數,計算機代數等重要學科。將吳方法應用到具有物理意義的線性偏微分方程上去,我們給出了型序,驗證了張鴻慶教授八十年代給出的恰當解的概念,刻劃了解的規模並給出了形式冪級數解。The author mainly realized the method of generating the large random numbers and judging the prime number using lehmann means, then three pairs of secure key with different lengths ( 256 bits, 512 bits, 1024 bits ) was generated to meet the demand of different security grade. in encryption module, modular multiplication arithmetic of large number was realized adopting addition chaining. in decryption module, extended euclid was used to get inverse, and the chinese remainder theorem was used to realize decryption, which increased the speed of decryption greatly
作者主要實現了大隨機數的生成、採用整除小素數和勒曼測試法判定素數,可以生成三種不同長度的密鑰對( 256位、 512位、 1024位)來滿足不同的加密安全等級的需求;加密模塊中,選用了二進制序列的乘法方法,實現了大數模冪乘運算;解密模塊中,引用了擴展的歐幾里德法求逆元,並採用中國剩餘定理實現解密過程,大大提高了解密速度。3 elastic exponential progression solution which is widely recognized by the field of civil engineering are applied to analysis of the pcc pile under lateral load, and the results are compared with that of finite elment method. accordingly, the validation of program is once more proved
3 、應用樁身撓曲彈性微分方程冪級數解析法對本文中的pcc樁算例進行了分析,並將分析計算結果與有限元計算結果進行了對比,進一步驗證了本文有限元數值演算法運用於pcc樁水平承載計算的正確性和有效性。Firstly, behavior and destroying mechanism of pile under inclined loads are systematically discussed based on summary of research on pile under inclined loads home and abroad, and then a power series solution for displacement and stress calculation of pile under inclined loads in layered soils is presented. based on the solution, the calculation of soil reaction force at the flank and bottom of piles, vertical and horizontal displacement of piles and maximal bending moment of piles is concluded
本文首先系統地回顧了國內外傾斜荷載樁研究工作,在此基礎上詳細討論了傾斜荷載下基樁的受力特性和破壞機理,從而導出了處于成層地基中的傾斜荷載樁的內力及位移分析的冪級數解,並以冪級數解的分析結果進一步導出了樁側及樁端土體抗力、樁身豎向及水平位移、樁身最大彎矩的計算方法。We apply wu - ritt method to linear partial differential equations and gave the size of solution arid formal taylor solutions
我們把它應用到線性偏微分方程上去得到了解的規模和形式冪級數解。The convergence property of p - dimension vector type dirichlet series
線性微分方程冪級數解的收斂半徑The general solution of ( 5. 122 ) is an arbitrary linear combination of a series of even powers and a series of odd powers
( 5 122 )的通解是一個偶次冪級數和一個奇次冪級數的任意線性組合。Nowadays, the pcc pile have been widely used for soft ground improvement and application of foundation engineering. the behavior of pcc pile, that subjected to lateral load has been studied in this paper. the behavior of the pcc pile has involved moment and horizontal displacement and load of pcc pile. they are studied by in the physical model experimen, field test finite element numerical analysis, and exponential progression solution. in additional, the comparatively computal analysis are carried out among pcc pile, cast - in - situ concrete circular pile, prefabricate concrete square pile, and obtain some signification conclusion
本文主要圍繞現澆混凝土薄壁管樁(以下簡稱pcc樁)這一新型的樁基結構型式的水平承載性狀展開研究,通過室內模型試驗、現場試驗、有限元數值模擬分析試驗及彈性冪級數解析法分析等手段,對pcc樁水平承載的樁身受力性狀,樁身撓曲位移,樁身彎距分佈,樁與樁周土相互作用的地基反力等幾方面進行了初步的探討和研究,最後將pcc樁與目前工程中的兩種常用於承受水平荷載的樁型進行對比計算分析,得到有意義的結論。分享友人