The algorithm transform the line parallelism and plane orthogonality into some new constraints on auto-calibration equations, which makes the affine and Euclidean characteristics of the absolute quadric close to the practical one.

該算法將景物中出現(xiàn)的直線的平行性和平面的正交性轉(zhuǎn)換為新的求解相機自定標方程的約束條件免费Av青草网站。

An adaptive grid scheme controlling cell area is used to generated grids in the divergent section of symmetric annular nozzle, and the generated grids are used in the flowfield calculation through the uncoupled way. The elliptic equations are used to generate grids in three dimensional regions of FDN divergent section, the source terms used in the equations employ a mathematical form which is independent of the boundary shape and of the boundary grid point distribution, the free parameters contained in the source terms are determined by the two restraint conditions, the intersection angle of transverse grid lines with boundaries and the local curvature of the transverse grid lines at the boundaries, and the interior grid distribution controlled directly by the grid point distribution assigned on the boundaries is realized, it makes the grid more clustering near the nozzle wall. For the generated grids in the whole computational regions have a good smoothness and orthogonality, the accuracy of calculation in the flowfield is ensured.

對軸對稱的環(huán)形噴管采用控制網(wǎng)格面積的自適應網(wǎng)格方法對擴散段部分進行了網(wǎng)格生成，并通過非耦合方式應用于噴管的流場計算中；對強制偏流噴管擴散段內(nèi)的三維區(qū)域采用橢圓型方程進行網(wǎng)格生成，方程中的源項采用了與邊界形狀和邊界網(wǎng)格點分布無關的數(shù)學形式亚洲实拍在线播放，源項內(nèi)的自由參數(shù)由橫向網(wǎng)格線與邊界的交角及橫向網(wǎng)格線在邊界處的局部曲率兩個約束條件來確定，實現(xiàn)了由邊界上的網(wǎng)格分布直接控制內(nèi)部的網(wǎng)格點欧美中文自拍另类，使壁面附近具有較密集的網(wǎng)格美女被插色色网站，并且在整個計算區(qū)域內(nèi)的網(wǎng)格都具有良好的光滑性和正交性，從而保證了流場計算的準確性你懂的精品视频。

Part or all of the mesh can be eliminated by using the compact support, the orthogonality and other properties of the wavelet function and the meshless algorithm to enhance the computing capability and reduce the error.

利用小波函數(shù)的緊支性欧美A片偷拍视频、正交性等性質(zhì)及無網(wǎng)格算法可以部分或全部消除網(wǎng)格而具有提高計算能力且減少誤差的優(yōu)點人人摸人人操人人爱人人看。

Bring forward a kind of learning algorithm fitting on the base of spline function, because the spline function has good flexibility and quadratic smoothing property, the search problem of network weight functions training can be converted into the resoluting extreme value problem of the plurality function through using spline function to represent network input and link weight functions, thus the PNN can be trained with the help of the existing neural network learning algorithms;④build a kind of learning algorithm base on the alternate of Walsh function, the complexity of network computing can be decreased through using the complete orthogonality of Walsh function corollary.

應用結果表明該算法收斂速度快www九一在线视频，穩(wěn)定性好；③提出了一種基于樣條函數(shù)擬和的學習算法粉色国产毛片，由于樣條函數(shù)具有很好的柔韌性和二次光滑性亚洲国产欧美日韩在线人成，將網(wǎng)絡輸入函數(shù)和連接權函數(shù)用樣條函數(shù)的形式表示，可把網(wǎng)絡權函數(shù)訓練的函數(shù)尋優(yōu)問題轉(zhuǎn)換為多元函數(shù)求極值的問題三级国产欧美性爱片，從而可借助于現(xiàn)有的神經(jīng)網(wǎng)絡學習算法訓練過程神經(jīng)元網(wǎng)絡野狼福利视频；④建立了一種基于Walsh函數(shù)變換的學習算法，利用Walsh函數(shù)系的完備正交性亚洲欧美另类片专区，可大大降低網(wǎng)絡計算的復雜度男女晚上看的国产在线视频。

The orthogonality and completeness of the eigenfunctions are proved according to certain theories of Hilbert space.

借助Hilbert空間的理論證明了特征函數(shù)的正交性與完備性。

In chapter 4, Based on the orthogonality relations and duality of C-algebras, we study the decompositions of C-algebras, and give a Fourier inversion formula on C-algebras, which generalizes the Fourier inversion formula on the center of a finite group algebra over complex. As an application, we characterize the integral closure of C-algebras over the ring of integers, and show a necessary and sufficitient condition for elements of C-algbras being algbraic integral over integers.

第四章 我們應用C-代數(shù)的正交性及對偶性刻畫了C-代數(shù)的一個分解自拍偷拍第，給出了C-代數(shù)上這個完全分解的Fourier反演公式外国黄色视频免费观看，從而推廣了Z分解的Fourier反演公式；作為Fourier反演公式的一個應用国产欧美在线一区,二区三区，我們刻畫了Z在整數(shù)環(huán)Z上的整閉包内射美女处女视频，進一步我們研究了C-代數(shù)在整數(shù)環(huán)Z上的整閉包，給出了C-代數(shù)在整數(shù)環(huán)Z上為整元的一個充要條件。

These new wavelets inherit some basic properties of the corresponding classical wavelets, such as the orthonormality, the order of regularity, the time-frequency localization characteristics, and so on, meanwhile some performances of the new wavelets are improved.

新子波類中的每一個子波均繼承了原始子波的許多基本性質(zhì)美女网站操视频，比如規(guī)范正交性超碰在线亚洲黄色，正則階，時一级a爱片在线观看视频免费、頻局域化特性等国产精品床在线观看爽爽，同時也得到某些性能的改善。

First of all, the basis of the MRTD method is studied. In Chapter 2, wavelets analysis and multiresolution analysis, the mathematical basis, are introduced, and the characteristics of the wavelets basis functions, including orthonormality, compact support, multiresolution and so on, are also introduced. The advantages of the applications of these functions to the numerical electromagnetic calculations are discussed. In Chapter 3, the algorithm basis of MRTD: the combination of the wavelets and the method of moments is studied. This Chapter shows that the MoM based MRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先討論了 MRTD 的建立基礎又粗又长视频，其中第二章介紹了其數(shù)學基礎－小波分析及多分辨分析国产一级精品A片免费观看，討論了小波基函數(shù)的性質(zhì)包括正交性、緊支撐性无码一区网站、多分辨性等及其應用于電磁場數(shù)值計算的優(yōu)勢在线麻豆视频；第三章討論了其算法基礎－小波與矩量法的結合，闡述了以矩量法作為算法基礎精品激情，以 Galerkin 離散采樣的方式與小波函數(shù)結合而產(chǎn)生了 MRTD国产91大屁股熟女。

School of Information Engineering,Zhengzhou University,Zhengzhou 450052,ChinaA novel chirp-typed watermarking scheme which uses the properties of index additivity and orthonormality of fractional Fourier transform to embed watermark in the different fractional Fourier domain is presented.

提出了一種新的分數(shù)階Fourier域Chirp類數(shù)字水印方案，該方案利用分數(shù)階Fourier變換基函數(shù)的正交性和旋轉(zhuǎn)相加性小视频色网址，在不同的分數(shù)階Fourier域嵌入Chirp水印久视频网无码性一区，并利用分數(shù)階Fourier域Chirp信號的聚集性進行盲檢測。

First of all, the basis of the MRTD method is studied. In Chapter 2, waveletsanalysis and multiresolution analysis, the mathematical basis, are introduced, and thecharacteristics of the wavelets basis functions, including orthonormality, compactsupport, multiresolution and so on, are also introduced. The advantages of theapplications of these functions to the numerical electromagnetic calculations arediscussed. In Chapter 3, the algorithm basis of MRTD: the combination of the waveletsand the method of moments is studied. This Chapter shows that the MoM basedMRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先討論了 MRTD 的建立基礎人人人操人人爽，其中第二章介紹了其數(shù)學基礎－小波分析及多分辨分析淫荡AV，討論了小波基函數(shù)的性質(zhì)包括正交性、緊支撐性黄色网站免费在线观看啊啊啊、多分辨性等及其應用于電磁場數(shù)值計算的優(yōu)勢亚洲欧美另类中文字幕；第三章討論了其算法基礎－小波與矩量法的結合，闡述了以矩量法作為算法基礎免费人成视频网站在，以 Galerkin 離散采樣的方式與小波函數(shù)結合而產(chǎn)生了 MRTD草草影院www色欧美极品。