相對論性近似 的英文怎麼說
中文拼音 [xiāngduìlúnxìngjìnsì]
相對論性近似
英文
relativistic approximation- 相 : 相Ⅰ名詞1 (相貌; 外貌) looks; appearance 2 (坐、立等的姿態) bearing; posture 3 [物理學] (相位...
- 對 : Ⅰ動詞1 (回答) answer; reply 2 (對待; 對付) treat; cope with; counter 3 (朝; 向; 面對) be tr...
- 論 : 論名詞(記錄孔子及其門徒的言行的「論語」) the analects of confucius
- 性 : Ⅰ名詞1 (性格) nature; character; disposition 2 (性能; 性質) property; quality 3 (性別) sex ...
- 近 : Ⅰ形容詞1 (空間或時間距離短) near; close 2 (接近) approaching; approximately; close to 3 (親...
- 相對論 : [物理學] the theory of relativity; relativity; relativity theory
- 相對 : 1. (面對面) opposite; face to face 2. (非絕對的) relative 3. (比較的) relatively; comparatively
- 近似 : approximate; similar; approach; approximation; roughness; propinquity
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Second, this paper analyzes the time - frequency distribution of the clutter from airborne pulse doppler radar ( pdr ). the side - lobe clutter, which is the main factor to influence the pdr, is analyzed and calculated. based on the simulation of typical geometry of the land, we analyze and discuss the side - lobe clutter and concluded that the dft of can be considered as the phase of the coho
並且根據各種典型地貌的近似模擬,從統計特性上和頻率域上對脈沖多卜勒雷達的旁瓣雜波進行了分析討淪,還得出脈沖多卜勒雷達的dft可以近似地看作相參積累,並在程序的編制中利用了這一個結論。Collisonal quantum interference ( cqi ) was observed in the intramolecular rotational energy transfer in the experiment of the static cell, and the integral interference angles were measured. to observe more precise information, the experiment in the molecular beam should be taken, from which the differential interference angle can be obtained precisely. in this paper, the theoretical model of cqi is described in an atom - diatom system in the condition of the molecular beam, based on the first - born approximation of time dependent perturbation theory, taking into accounts the anisotropic lennard - jones interaction potentials. the method of observing and measuring correctly the differential interference angle is presented. the changing tendencies of the differential interference angle with the impact parameter, velocity, and et al. are discussed
分子內部轉動傳能的靜態池實驗觀察到了碰撞量子干涉效應( cqi ) ,並且測得積分干涉角,為了獲得更加精確的分子內部轉動傳能的碰撞量子干涉效應信息,實驗就必須要採用分子束實驗進行.本文理論上採用各項異性相互作用勢,應用含時微擾理論的一級波恩近似,假想在分子束實驗的條件下,建立在原子-雙原子分子體系中碰撞量子干涉的理論模型.理論上推導出微分干涉角具體表達式,通過計算定性地討論了微分干涉角隨著碰撞參數、速率等的變化趨勢,同時初步探討了實驗的正確觀測途徑,得出了採用分子束進行實驗觀測的實驗方法,為進一步進行分子束實驗提供了理論基礎,對實驗的進行起到了一定的借鑒作用For micro - cavity semiconductor laser, station model is proposed in this paper and its steady - state and instantaneous characteristics when the coupling efficiency of spontaneous emission into a lasing mode is equal to 1 are analysised. for current noise, sp noise, noise, p noise, as well as current modulation, sp modulation, modulation and p modulation, using small - signal approximation, we derive the laser ' s corresponding transfer functions. and we calculate their signal - to - noise ratio ( snr ) gain in various parameters through frequency domain analysis in the premiss of large input snr
本文對于微腔半導體激光器,提出站模型,能夠較直觀簡潔地分析微腔半導體激光器的穩態和瞬態特性,利用此模型對具有重要實用價值的= 1的微腔半導體激光器進行了討論;對于電流i噪聲、自發發射壽命_ ( sp )噪聲、自發發射因子噪聲、光子壽命_ p噪聲,以及電流調制、 _ ( sp )調制、調制、 _ p調制,在小信號近似下,得到了相應的激光器的傳遞函數;在大信噪比的前提下,對激光器進行了頻域分析,分別計算了它們在不同參數下的信噪比增益,分析了其抗噪聲性能。The relativistic random phase approximation ( rrpa ) is a relativistic extension of the random phase approximation for studying microscopically nuclear dynamical excitations and giant resonances. the consistency of rrpa calculations requires two aspects : first, it demands that the relativistic mean - field wave " function of nucleus and the particle - hole residual interactions in the rrpa are calculated in a same effective lagrangian. second, the consistent treatment of rrpa within rmf approximation requires the configurations including not only the pairs formed from the occupied fermi states and unoccupied stat es but also the pairs formed from the dirac states and occupied fermi states
自洽的相對論無規位相近似理論的自洽性要求有兩方面的內容:第一,描述原子核的激發態性質和基態性質時必須從同一個有效的拉矢量出發;第二,相對論無規位相近似計算,不但要考慮正能的粒子-空穴組態的貢獻,而且還要考慮從fermi海核子態到dirac海負能核子態形成的對激發的貢獻。With the thorough research on these and computer ability increasing quickly, people are paying more and more attention to relational numerical study. the mostly discussion is how to numerical simulate, concering error estimate in long - time, the existence of approximate attractor, well - posedness of solution and numerical solution and dimension estimate and so on, now there are much study [ 5 ], [ 15 ]. spectral method is important numerical method, but it is very hard so that research is a less
隨著對它研究的深入和計算機能力的迅速提高,與之相關的數值研究也越來越被人們關注,這方面討論的主要是對原系統如何進行數值模擬的問題,涉及到大時間誤差估計,近似吸引子的存在性,穩定性,收斂性及其維數估計等諸多問題,目前已有很多工作。For unmagnetized, relativistic and hot ion plasmas, the ion - acoustic waves can be described by the kadomtsev - petviashvili ( kp ) equation ( ( ut + auux + buxxx ) x + duyy = 0 ). it suggests that the nonlinear ion - acoustic solitary waves in a relativistic hot ion plasma are stable even there are some higher order transverse perturbations. there are only compressive solitary waves in the relativistic hot ion plasmas which has been vertified analytically
在低階近似下,無磁場相對論熱離子等離子體可由kp方程( ( u _ t + auu _ ( x ) + bu _ ( xxx ) _ x + cu _ ( yy ) = 0 )來描述,相對論熱離子等離子中的非線性離子聲孤波在高階橫向擾動下是穩定的,且在相對論熱離子等離子體中僅存在壓縮型孤波When the isotropic waveguide is under the isotropic disturbances, the coupling term due to polarization, which is presented in the coupled - mode theory of the wei - ping huang, is n ' t included in this rigorous vectorial coupled - mode theory, exactly, the rigorous vectorial cmt does n ' t contain the coupling term due to polarization which is include in the scalar coupled - mode theory because this term is counteracted with the other coupling term neglected under weakly guiding approximation. as for anisotropic disturbances, we get the coupled - mode equations with arbitrary dielectric tensors. from them, we obtain the coupled - mode equations of the slowly varying term c ( z ) which is more simplicity
當受到各向同性微擾時,我們發現嚴格的矢量理論所得到的耦合系數表達式中並不包括wei - pinghuang的理論中的偏振耦合項,更確切的說,偏振耦合項正好與因弱導近似而忽略的項相抵消,這就是標量理論所得到結果(有偏振耦合項)與矢量理論在標量近似下的結果(不含偏振耦合項)不一致的原因所在;當各向異性微擾時,我們得到了包含微擾介電張量各個分量的橫電磁場耦合波方程,討論了微擾介電張量各個分量對耦合的影響,而且從橫電磁場耦合波方程出發得到了形式更加簡單的只含有橫電場系數的緩變分量c _ ( z )的耦合波方程和耦合系數表達式,並以弱導近似下的單模光纖兩正交偏振模耦合為例對耦合系數在不同條件下的取捨做了定性的分析。Using the theories of probability, algebra and number theory comprehensively, we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions, which are constructed from any two bent functions, are studied, followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values. some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions, whose cryptographic properties are explored by the matrix method, which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher, communications and block ciphers is discussed, which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions, including the complete construction by using the characteristic matrices of boolean functions, and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp, where p is a prime, and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered
本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識,並以頻譜理論作為主要研究工具,對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究,給出了廣半bent函數定義,並探討了廣半bent函數的密碼學性質;給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件;討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系,探討了它們的密碼學性質;給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法,並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上;利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法,還給出了從已有的p值k階擬廣義bent函數出發,遞歸構造變元個數更多的p值k階擬廣義bent函數的方法;初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用;給出了一類布爾函數walsh譜的分解式,並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造,特殊情形下為k階擬bent函數;利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵,並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。The method of multiple scales is used to determine the equations of modulation of amplitude and phase. the steady state response can be obtained by solving a couple of algebraic equations, which have been achieved by careful deduction under some conditions. and because of the complexity of the equations, programs are necessary to solve the equations mentioned above, and certain graphs are presented. based on chapter two, in chapter three, the method of multiple scales is introduced to the study of the multiple - dimensional nonlinear stochastic systems under random external excitation
在第二章基礎上,第三章將多尺度法引入到相應的隨機系統的研究中;嚴格推導了系統的約簡方程,用矩方法求出穩態解應滿足的方程,獲得一些結果;並且數值模擬結果與理論推導的結果是一致的;並注意到,與其對應的確定性系統相比較,系統響應從周期解變為近似周期解,系統的相軌線從極限環變為擴大的近似極限環;隨著激勵帶寬的增大,此擴大的近似極限環的寬度將增大。Up to now, the method, we used in studying the properties of collective multipole excitations of nuclei, treat the continuum by a discretization procedure with expanding wave functions in a harmonic oscillator basis. this approximation can be justified for very narrow resonances and gives a global description of the contributions from the continuum. a complete treatment of the continuum can be carried out by the continuum rrpa with a green " s function method
為了解決這些問題,需要改進相對論無規位相近似方法對z連續態的處理,採用連續相對論無規位相近似計算,通過格林函數方法可以嚴格處理連續態在核的集體激發中的貢獻,並用來描述核的集體巨共振性質,包括核的巨共振能量、巨共振峰的強度以及巨共振寬度等重要的物理量。It ' s the first time clearly and systematically to present the concepts of restraint influence coefficient of steel to strain increment, to curvature increment and to deflection increment due to creep which are different each other. theoretical formulae are established, and approximate formulae are also obtained while considering the characteristics of common - used concrete and ambient condition of real bridges in china. so, an approximate restraint influence coefficient method to analyze the effect due to creep and shrinkage in pc bridges is put forward, and the equations to estimate second - force due to creep considering influence of steel in system - transferred continuous pc bridges is also established
本文首次清晰而系統地提出了鋼筋對徐變的不同效應(徐變應變、徐變曲率、徐變上拱)約束影響系數的概念,建立了相應的計算式;結合我國普遍採用的混凝土的徐變特性和橋梁的構造特點及工作中南大學博士學位論文摘要環境特徵,給出了具有較高計算精度的實用計算式;在此基礎上,建立了橋梁徐變效應近似分析的鋼筋約束影響系數法,並推導出了考慮鋼筋影響的超靜定梁徐變次內力的近似計算式,可方便地應用於橋梁研究和設計中。Eno schemes are based on the approximation theory, which achieve high - order spatial accuracy by reconstructing piecewise smooth high - order approximate polynomial from the cell - averaging values. during the reconstruction, adaptive stencil technology, which automatically chooses the relatively smoothest stencil from all possible stencils, is adopted to guarantee essentially non - oscillation near the discontinuity
Eno格式基於近似理論,採用自適應基架技術(即自動選取所有基架中相對最為光滑的基架) ,對網格平均值構造分段光滑的高階多項式來獲得高階空間精度,同時保證格式在間斷附近具有基本無振蕩性質。Firstly, the author, in this essay, has proceeded from the compiling principles of the trajectory report and the actual situations of the field troops, analyzed the defects and shortcomings of the present compilation of the trajectory report, and described systematically the principles and procedures of computing the layer power by the methods of statistical analyses. thereupon, a complete model of computing the layer power has been established and the computation results of the proximate layer power have been found out by simplified process. secondly, the comparison computation has been conducted in accordance with the paired projectiles of 122mm, 152mm and 155mm guns equipped in our army, and test and analyses of the research results have been carried out
論文中,作者首先從彈道通報的編制原理和部隊的實際使用情況入手,分析其缺陷,進而結合統計分析的一般方法系統地描述了計算層權的原理及過程,建立了計算精確層權、近似層權的完整模型,並通過計算與統計,詳細給出了專用及通用近似層權的計算結果,然後針對我軍裝備的122mm 、 152mm 、 155mm彈丸進行對比計算,對研究結果進行了檢驗與分析;最後,針對計算機氣象通報的特點,論證了對其作進一步改進的可行性與必要性,提出了相應的措施。First, we concisely recall the formation and development of bose - einstein condensa - tion ' s theory and it ' s experimentation. secondly, we briefly intro - duce some properties of weakly interactive bose gases, and derive the nonlinear gross - pitaevskii equation that is the condensate macroscopic wave function ' s equation. thirdly, we give a exam - pie, an approximation analytical solution of the gross - pitaevskii equation in a spherical symmetric harmonic trap is derived by a perturbation theory approach, this solution is consistent with that numerically obtained
全文共分為四章:第一章首先簡要的介紹和回顧了玻色-愛因斯坦凝聚理論的產生和發展,以及其實驗研究的過程,然後著重介紹了弱相互作用的玻色氣體的一些性質,並推導出了凝聚體宏觀波函數滿足非線性的gp方程,還以球對稱的諧振子勢為例,用標準的微擾方法求出了定態的gp方程近似解,發現其與已知的數值結果符合得很好。The nucleon dbhf self - energy in the nuclear medium, therefore, can be calculated with the g matrix in the relativistic hartree - fock approximation. with the calculated nucleon self - energy in the dbhf, we extract nucleon effective interactions hi the framework of the relativistic mean field theory ( rmf ), which contains the effect of the nucleon - nucleon short - range correlation and information of the isospin structure. applying the effective interaction, which is composed of density dependent meson - nucleon coupling constants, we study the properties of finite nuclei and come to some useful conclusions
本文應用相對論dirac - brueckner - hartree - fock ( dbhf )方法,利用新的g矩陣分解方式g = v + g ,用g矩陣在相對論hartree - fock近似下,即等效的dbhf方法,系統地討論了對稱、不對稱核物質及中子物質的性質,利用對稱及不對稱核物質中自能的dirac結構,我們提取出含有核子-核子短程關聯效應和同位旋結構信息的有效相互作用介子耦合常數,並對有限核的性質做了詳細的討論,得到不少有意義的結果。The result of a case studying shows that the settlement calculated by large strain consolidation theory is large than that by infinite strain theory during the consolidation procession, but the final settlements calculated by both theories are same. more general assumptions than that in the classical consolidation theory is adopted and the exact analytical solution of nonlinear finite strain self - weight consolidation based on this assumption is obtained. by applying same experiment data, the comparison of the solutions of linear and nonlinear finite strain theory, as well as the numerical solution from finite element method is presented
對此模型求得到了某些特殊條件下的lagrange級數解答,並通過尾礦沉降池實例分析,驗證了所得解答的合理性和有效性;建立了土體在堆積過程中的大應變固結模型,通過其對稱性構造出相似變量之後,由攝動法求得了近似解析解答,並通過試驗數據與傳統的線性化固結理論的解答相比較,顯示了傳統線性化固結理論在該問題上的局限性。The same conclusion as derived from the original pda under approximate condition is concluded this way without any approximations. the second method is the instant - state performance prediction based on the hyca method. this method not only gives the off - line recursive error variance relation, but also gets a series of performance measurement such as track life
然後應用兩種方法對其進行性能估計和預測,一是基於riccati方程的穩態性能估計,其結果與pda演算法近似條件下得出的結論相同;二是基於hyca方法的瞬態性能預測,不僅給出了誤差方差的離線遞推關系,而且得到了航跡壽命等一系列性能指標的估計值。In this paper, the nonclassical properties of two two - level atoms interacting with a single mode light field is studied by means of the quantum theory without rotating wave approximation ; the influences of the yirtual photon process on the mean photon number, the degree of second order coherence of field, the evolution of the field entropy and the squeezing effect are also discussed
本文利用全量子理論,研究了非旋波近似下「耦合雙原子-單模光場」相互作用過程中光場所表現出的非經典性質,研究了虛光子過程對場的平均光子數、二階相干度、場熵演化特性及光場壓縮效應的影響。In section 4. 2 we analyze its main idea and algorithm in detail, two relevant theorems included ; section 4. 3 provides plenty instances so to explain its nonlinear dimension reduction ability, section 4. 4 propose a combined method that integrates the advantage of various methods. in section 4. 5 we analyze some significant problems in lle, including the locality of manifold representation, the choice of the neighborhood, the intrinsic dimension estimation and the parametric representation of mapping. in section 4. 6 we design an algorithm for estimating the intrinsic dimension in the base of locally linear approximation and discuss the choice of its parameters
第四章是本文的重點內容,研究一種全新的非線性降維方法? ?局部線性嵌入方法,對它的思想和演算法進行了詳細的分析,給出演算法兩個相關定理的證明;第三節對比主成分分析,通過實例說明局部線性嵌入方法的非線性降維特徵;第四節在此基礎上提出了旨在結合兩者優勢的組合降維方法;第五節提出了局部線性嵌入方法中存在的若干關鍵性問題,包括流形的局部性、鄰點的選擇、本徵維數的估計和降維映射的表示,第六節基於局部線性近似的思想提出了一種本徵維數的估計方法,設計了實用演算法,結合實例對演算法中參數的選取進行了討論;最後一節提出了一種基於局部線性重構的圖形分類和識別方法,將其應用於手寫體數字的圖像分類識別實驗,實驗得到的分類準確率達96 . 67 。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