波函數對稱性 的英文怎麼說
中文拼音 [bōhánshǔduìchènxìng]
波函數對稱性
英文
symmetry properties of wave function- 波 : Ⅰ名詞1 (波浪) wave 2 [物理學] (振動傳播的過程) wave 3 (意外變化) an unexpected turn of even...
- 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
- 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...
- 稱 : 稱動詞(適合; 相當) fit; match; suit
- 性 : Ⅰ名詞1 (性格) nature; character; disposition 2 (性能; 性質) property; quality 3 (性別) sex ...
- 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
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Second, we discuss the influence of environmental referance potential temperture and thermal wind on mesoscale symmetric instability. we find the expression of disturbance stream function and criterion of symmetric instability by analytical method and conclude that change caused by environmental referance potential temperture with height and thermal wind make critical richardson number and disturbance critical half - wave length of symmetric instability larger, that is to say, they benefit the occurance of symmetric instability. third, we study nonlinear perturbation analysis of mesoscale vertical circulation and evolution equation by means of f - plane. non - hydrostatic balance and filiter model
第二,討論了環境位溫與熱成風因子對中尺度對稱不穩定的影響。運用解析的方法求出了擾動流函數的表達式和對稱不穩定的判據,發現環境參考位溫隨高度的變化與熱成風因子使得對稱不穩定臨界理查遜數及擾動的臨界半波長都變大,這有利於對稱不穩定的發生。第三,採用f平面、非靜力平衡、濾聲波模式,討論了中尺度垂直環流非線性攝動分析及演變方程。We start by considering the wave function, ignoring the antisymmetry requirement.
我們先考慮波函數,而暫不顧及它的反對稱性要求。It is well known that the wavelet liner approximation ( i. e, truncating the high frequencies ) can be approximate smooth singals very efficiently. however, for example, piecewise continous signals with large jump in signal value or in its derivatives, standard wavelet linear approximation techniques cannot achieve similar results for signals which are not smooth. to overcome these problems within the standard wavelet transform framework, the paper proposed the double adaptive wavelet transforms
眾所周知,小波的線性近似(只用低頻系數而不採用高頻系數進行重構的方法稱為線性近似)能非常有效的近似初始的光滑信號。然而對于非光滑信號,例如具有跳變點的分段連續信號,標準小波的線性近似就不能獲得如光滑函數那樣好的結果。Where several mother wavelet functions were used to expand a function, it also can be seen as vector - valued wavelets that satisfy conditions in which matrics are involved. the main works of this paper are as follows : firstly, although haar function has bad vanish property in frequency domain, it is the only normal orthonormal basis with symmetry and real short - support property
首先,討論了對于尺度函數,相應的母小波構成空間的標準正交基的充要條件,提出了構造a尺度母小波的演算法,從理論上研究a尺度haar小波基的構造,提出了分解與重構公式,並對如何構造具有對稱性的a尺度haar小波基進行了探討。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 work of this dissertation is focused on research of some key technics in signal design and processing of mcpc signal. the main content of the dissertation is summarized as follows : it gives a detailed description of the form of the mcpc waveform and its mathematical model, and analyses the formation and properties of phase coded sequence. it discusses the effect of signal parameters on autocorrelation, power spectra and ambiguity function in forms of single pulse and pulse train and compares different kinds of single pulse signals and pulse train signals
本文圍繞著多載波相位編碼信號在信號設計與信號處理的若干關鍵問題進行了研究,主要做了以下工作:描述了多載波相位編碼信號( multicarrierphasecoded ,簡稱mcpc )的信號形式,給出了其數學模型,對其中相位編碼序列的構成方式與特性進行了分析;從單脈沖和脈沖串兩種信號形式入手,對多載頻相位編碼信號的參數在自相關函數、功率譜密度和模糊方程上的影響作了詳細地討論,對不同調制方式的單脈沖和脈沖串信號進行了比較。In this paper, we propose an adaptive wavelet transform which possess the properties of translation and scale invariance. firstly, the original signal is adaptively renormalized using a scale function of an orthonomal wavelet and the first two moments of the signal. then, we decompose the renomalized signal according to the conventional discrete wavelet transform. as we prove, this adaptive wavelet transform is translation - and scale - invariant, and an efficient algorithm for calculating these wavelet coefficients, called adaptive wavelet invariant moments, is proposed. finally, we give experiment results for 2 - dimension digital signals ( images ) to verify our conclusion
本文提出了一種具有平移和尺度不變性的自適應小波分解新方法,該方法利用信號的一階、二階矩及正交小波尺度函數,先對信號進行自適應小波「重整」 .然後再對重整后的信號進行普通小波變換.本文證明這種自適應小波變換是平移和尺度不變的,並給出了計算自適應小波變換系數(稱為小波不變矩)的一種有效演算法.對二維數字信號(圖像)的實驗證實了我們的結論Abstract : the wavefunctions and energy eigenvalues for the ring - shaped oscillator are obtained using the ideas of supersymmetric quantum mechanics and shape invaricace
文摘:採用量子力學中的超對稱性和形不變性,討論環形振子的波函數和能量本徵值They have a number of desirable properties not possessed by wavelets of daubechies type, namely : they have symmetry property ; the scaling function and physical space representation are identical ; expansion coefficients are easily computed ; in certain respects they are more accurate ; the functions ( but not their derivatives ) can be computed without solving an eigenproblem. the price to be paid for these advantages is the loss of orthogonality, interpolating wavelets are only biorthogonal
本文主要的研究成果是把一維的某些結論推廣到高維,分為以下四個方面: ( 1 )使用二元拉格朗日插值法構造二元尺度函數和小波函數,使其具有緊支性、對稱性以及函數展開式的系數易於計算等優點。唯一的缺陷是缺乏正交性。When a smoothing function ' s first derivative is adopted as wavelet function, the local maxima of wavelet transform modulus detect the location of signal ' s singularities, in this thesis, these characters are not only applied to measure the magnitude of dead angles of the dissymmetry inrush but also the symmetry inrush in three - phase transformer
當小波函數取光滑函數的一階導數時,信號小波變換的模在信號突變點將取得局部極大值。本文利用這些性質不僅對三相變壓器的非對稱性涌流間斷角的大小進行測量,同時還測量了對稱性涌流的間斷角,測量精度有一定的改善。They can possess all properties simultaneously such as short support, orthogonality, symmetry and vanishing moments or higher approximation order which are superior to scalar wavelet
由矩陣細分方程的某些矩陣性質,多尺度函數和多小波函數可同時具有正交性、對稱性、短支撐性和高逼近階。分享友人