函數推廣 的英文怎麼說
中文拼音 [hánshǔtuīguǎng]
函數推廣
英文
functional generalization- 函 : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
- 數 : 數副詞(屢次) frequently; repeatedly
- 推 : 動詞1 (向外用力使物體移動) push; shove 2 (磨或碾) turn a mill or grindstone; grind 3 (剪或削...
- 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
- 推廣 : popularize; spread; extend; generalization
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The thesis focus on the numerical analytical method of curved broadband wire antennas. first, the paper introduced the development of broadband antennas, the common measures to broaden antennas " bandwidth and the study on curved antennas. second, the generalized halen integral equation ( mei ' s equation ) was derived based on the three basic equations of wire antennas by two means and its numerical solution method was discussed
本文就曲線寬頻帶線天線的數值分析方法展開研究,首先介紹了寬頻帶天線的發展,實現天線寬頻帶的常用方法和曲線天線的研究現狀,然後在直線加載天線滿足的方程的基礎上用兩種方法推導了曲線天線滿足的推廣的海倫積分方程( mei 』 s方程) ,討論了不同基函數下方程的數值解法。It shows that information function can more accurately evaluate the quality of items and test and the ability of examinees than ctt does, so it has more strong guidance in editing test
研究結論表明:信息函數較經典測量理論能更精確地評價項目質量、測驗質量及被試能力水平,因而對測驗及學生能力水平的評價更科學,同時對測驗的編制有更強的指導作用,值得推廣。In this paper, the folio wings are introduced briefly : holonomic theory ; the basic idea that d. zeilberger used to prove identities using holonomic theory. and wu method is generalized to the non - commutative weyl algebra. furthermore, dialytic method of elimination is replaced by wu method, so the prove can be extended from the single - variable hypergeometric identities to multi - variable ones
本文簡要介紹了完整性理論, d . zeilberger利用完整性理論證明恆等式的基本思想,將吳方法推廣到不可交換的weyl代數上,用吳方法取代了d . zeilberg在證明完整性函數恆等式的理論框架中的析配消元法,從而將這種證明理論由單變量超幾何恆等式的證明擴展到多變量超幾何恆等式的證明。Assemblage ) represented the coastal shallow - water environment ; factor 2 ( protelphidium tuberculatum assemblage ) represented the alongshore cold - water current area or cold shallow sea environment ; factor 3 ( elphidium magellanicum assemblage ) represented the sh allow sea ( < 20 - 30m depth ) deposit ; factor 4 ( ammonia ketienziensis assemblage ) represented the shallow - sea water more than 50m depth ; and factor 5 ( buccella frigida assemblage ) represented the colder - water sea environment ; and the distribution of factor load accorded with the character of benthic foraminifer community
Q型因子分析揭示ey02 - 2孔5種有孔蟲組合,分別對應濱岸鹽沼環境、黃海沿岸流冷水分佈區、高潮坪淺海沉積環境、水深大於50m的現代淺海環境及較冷的沉積環境。因子載荷的分佈與有孔蟲群落特徵吻合較好。南黃海有孔蟲含量? ?水深轉換函數關系式有一定的局限性,並不能在南黃海陸架地區推廣使用。And then, multiple - dimention asmptotic periodic function space is still banach space
而且把結論推廣到高維空間,也會得到漸近周期函數空間是banach空間An extension form of liouville ' s theorem about analytic functions for general harmonic functions is proved
摘要證明復變函數中的劉維爾定理在調和函數中的一種推廣。In chapter 3, we will estimate the first eigenvalue of laplacian from below on manifolds with a little negative curvature. in chapter 4, we will prove the existence of bounded nontrivial harmonic functions on some classes of complete manifolds which will generalize the results of s. y. cheng ' s
在第三章,我們將給出具有小負曲率的流形上laplace運算元的第一特徵值的下界估計;第四章,我們會給出一類完備非緊流形上非平凡的有界調和函數的存在性,推廣了s . y . cheng的結果。( 2 ) we studied the hyperbola function method and generalized it
( 2 )對雙曲函數法進行了探討,且對其進行了推廣。The properties of the and variation functions are generalized to the generalized regular variation functions and their inverse functions -
,將變化函數及其逆-變化函數的性質推廣到廣義正規變化函數及其逆函數The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. some results are improved
摘要本文運用整體反函數理論證明了一類半線性方程邊值問題周期解的存在唯一性,推廣和改進了已有的一些結果。The problem of uniqueness of meromorphic functions concerning the multipliable value is discussed. some uniqueness theorems are obtained, generalizes and improves the work of yang c. c and the work of fang m. l. the problem of uniqueness of meromorphic functions that sharing one pair of value im with their differential polynomials is studied and pefects present conclusion
主要研究了亞純函數分擔一個或者兩個公共值集的情形,對f . gross問題做了進一步討論,得到的幾個定理推廣改進了儀洪勛、方明亮等的結果;在涉及重值的情況下,討論了im分擔一個值的亞純函數的唯一性問題,所得結果改進楊重駿、方明亮等的工作;同時本文對涉及微分多項式的亞純函數im分擔一對值的唯一性問題也做研究,完善了現有的一些結論。The quadratic uniform b - spline curves are extended, and a class of polynomial blending functions of degree 3 and degree 4 are presented in this paper, which can be extended to the case of degree n
擴展了二次均勻b樣條基函數,構造出三次和四次帶局部參數_ i的調配函數,推廣后得到了n次的調配函數。Nowadays high - techs and its industrialization have become one of the important force to boost the economy growth, as well as the main index to decide the integrative competition of a country or territory. under such a background, we firstly introduced the actuality, problems of guangzhou ' s high - tech industry and economy growth theory. on the next stage, we applied cob - douglus production function, took guangzhou city as an example, came out the multi - varible regression model exercising modern econometrics, systematically investigated the relationship between high - techs and gross domestic production ( gdp ), and scientifically analyzed the impacts of high - techs to economy growth
當今,高新技術及其產業化發展已經成為推動經濟增長的重要力量,成為決定一個國家和地區綜合競爭實力的重要指標,在這種大背景下,本文首先對目前廣州市高新技術產業的現狀、問題以及經濟增長理論作了較為全面的介紹,然後運用cob ? douglas生產函數,以廣州市為實例,運用現代計量經濟學的研究方法給出了多元回歸模型,對高新技術與國內生產總值( gdp )的相關關系進行了較為系統的考察,科學的分析了高新技術對經濟增長的影響。The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem
( ? , ? )為r ~ n中內積, | ? |為對應范數。 f [ 0 , t ] r ~ n r連續, ? f ( t , x )存在且連續, h l ~ 1 ( 0 , t ; r ~ n ) 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性,把非線性項和位勢函數放寬到一類無界函數,推廣了這方面工作的一些已有結果;利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解,取掉了泛函的常定要求;最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。Several examples and numerical simulations are shown to illustrate and reinforce our theory. in chapter 3, we firstly give both the definition of the discrete lyapunov functional and the proof of some properties of it for the dde with local positive or negative feedback in the delay term. secondly, we introduce the definition of the global attractor
A6s藝fae藝在本文的第三章中,首先給出了對於一類時滯微分方程的用改變符號次數來定義的離散lyapunov泛函,並給出了其有關性質的理論證明,進而說明在時滯項具有局部正反饋或者局部負反饋條件下的時滯微分方程這樣定義lyapunov泛函的合理性,這是對前人在時滯項具有全局負反饋或者正反饋條件下的lyapunov泛函的推廣。In this paper, the authors generalize the definitions of several spaces of holomorphic functions from the unit disc in c to the unit ball in c ( superscript n ), where the growth of holomorphic functions depends on a weight function
摘要該文將幾個全純函數空間的定義從單復變數推廣到多復變數,這些空間中全純函數的增長性依賴于某個權函數。The tu ' s scheme is extended to the generalized dirac spectral problem with an arbitrary function, the generalized kaup - newell spectral problem and the new 3x3 spectral problem with five potentials such that their lax integrabie integrabie hierarchies of equations and liouville integrabie hamilton structures are obtained. chapter 7 is devote to higher - order constraint flow, involutive system, lax representation, r - matrix and the separation of variables
第六章研究了lax可積的新的方程族和liouville可積的n - hamilton結構方面的問題:將屠格式推廣到新的含有任意函數的廣義dirac族的譜問題、廣義kaup - newell譜問題及含有五個位勢函數的3 3譜問題,研究了它們的lax可積的方程族和liouville可積的hamilton結構。The spurious peaks of the cubic phase function ( cpf ) for multicomponent is first identified by theory and by simulations and hence the identifiability problem arises. by exploiting the different dependence of auto - terms and cross - terms on time, the product cubic phase function is proposed to resolve the identifiability problem
5 .提出了廣義三次相位函數,推出了基於廣義三次相位函數的二次調頻信號參數估計方法,通過一階擾動分析導出了廣義三次相位函數的理論性能。We improve this method as follows : ( 1 ) single jacobi elliptic function is replaced with an unified jacobi elliptic equation, thus repeated calculation is avoided ; ( 2 ) extending the expansion method from sole - function to double - function form, the more solutions for npde are obtainted ; ( 3 ) using many of jacobi elliptic functions besides ordinary three kinds, the content of solutions represented by jacobi elliptic by the jacobi elliptic function expansion method and computer functions is very abundant
我們對此方法做了如下幾點改進:用統一的jacobi橢圓方程組代替單個的jacobi橢圓函數,避免重復計算;將jacobi橢圓單函數展開方法推廣到jacobi橢圓雙函數展開,這樣可以得到更多的解;將通常使用的三個jacobi橢圓函數推廣到多個jacobi橢圓函數,豐富了用jacobi橢圓函數表示的解的內容。利用改進的jacobi橢圓函數展開法,求解了bbm方程和boussinesq方程組。In the paper, consolidation effects on stress and displacement distributions are n ' t taken into consideration due to supposing that foundation soil consolidation has completed after surcharging preloading. based on the inherent anisotropy and induced anisotropy of foundation soil body, transversely isotropic elastic constitutive relations are adopted to simulate half - space clastic foundation body. the relations between displacement and displacement function are proposed by extending t, ove displacement function to transversely isotropic elastic half - space
本文假設地基土體是經過超載預壓處理過的,固結已經完成,不考慮固結對應力、位移場分佈的影響;基於地基土存在著固有各向異性和誘發各向異性,在前人的基礎上對e地基模型進行修正,採用橫觀各向同性彈性模型模擬無限彈性半空間,將love位移函數推廣到半空間,得到位移與位移函數之間的關系,然後經過hankel變換得到非軸對稱問題位移、應力的一般解。分享友人