basis n. (pl. bases ) 1.基礎(chǔ);基底;臺(tái)座;【地質(zhì)學(xué);地理學(xué)】坡基。 2.根據(jù),基準(zhǔn)。 3.主要成份;主藥。 4.【數(shù)學(xué)】基。 On a production basis在大規(guī)模生產(chǎn)的基礎(chǔ)上。 On what basis? 憑什么條件(雇傭等)? on the war basis按戰(zhàn)時(shí)體制。 the basis of argument 論據(jù)。 the basis of assessment 課稅標(biāo)準(zhǔn)。 on the basis of 以…為基礎(chǔ)。
on the basis of 根據(jù),在…的基礎(chǔ)上; 根據(jù),在…基礎(chǔ)上; 根據(jù),在什么的基礎(chǔ)上; 以為基礎(chǔ); 以……的基礎(chǔ); 在……基礎(chǔ)上,根據(jù)……原則; 在……基礎(chǔ)上,基于; 在…的基礎(chǔ)上
Construction and classification of a set of complete orthogonal basis functions in the arbitrary triangular domain 任意三角形區(qū)域中一組完備正交基的構(gòu)造與分類
In this paper , we ' ll give another simple method to seek normal orthogonal basis by using the properties of positive definite matrix 摘要利用正定矩陣的性質(zhì),得到標(biāo)準(zhǔn)正交基的另一種較簡(jiǎn)單的求法。
By introducing a set of appropriate orthogonal basis functions into the input space , the input functions and the weight functions are expanded under the orthogonal basis functions , and the time aggregation operation of the process neurons is simplified by using the orthogonality of the basis functions 在輸入空間中引入一組合適的函數(shù)正交基,將輸入函數(shù)和網(wǎng)絡(luò)權(quán)函數(shù)表示為該組正交基的展開(kāi)形式,并利用基函數(shù)的正交性簡(jiǎn)化網(wǎng)絡(luò)聚合運(yùn)算過(guò)程。
One is the non - orthogonal gabor - daubechies frame , or g - d frame , a complete set of discrete window fourier functions which are constructed by space - shifting and harmonically modulating a gaussian window . although a g - d frame is not an orthogonal basis , it bears considerable advantages for the study of physical problems , especially those related to the wave field extrapolation , due to the optimal localization properties of the gaussian window function under the heisenberg uncertainty principle 其一為將高斯窗函數(shù)經(jīng)平移和調(diào)制而構(gòu)成的一組窗口富里葉框架( gabor - daubechies框架,或g - d框架)基本函數(shù),另一種為在富里葉分析和小波包理論基礎(chǔ)上發(fā)展起來(lái)的局部余弦基函數(shù)。
Expanding the system ' s hamiltonian to a real symmetric matrix in an appropriate orthogonal basis vector and then diagonalizing it , we get the energy spectrum of the system and calculate the energy level spacing distribution function and the spectral rigidity . then we study the statistical character of the energy spectrum under the changing of magnetic field intension and find that the system ' s motion transfers from regular to chaos gradually 將系統(tǒng)的哈密頓量在一個(gè)適當(dāng)?shù)恼换赶抡归_(kāi)并對(duì)角化,得到系統(tǒng)的能譜,分別計(jì)算系統(tǒng)能譜的能級(jí)間距分布函數(shù)和譜剛度,研究了該系統(tǒng)量子能譜的統(tǒng)計(jì)特征隨磁感應(yīng)強(qiáng)度大小的改變而表現(xiàn)出的系統(tǒng)運(yùn)動(dòng)由規(guī)則到混沌的漸進(jìn)變化。
The other is the local cosine bases developed as a kind of orthogonal basis based on the fourier analysis and wavelet - packet theory . in this thesis , theoretical analysis and numerical applications are mainly focused on the beamlet - domain wave field extrapolation using g - d frame propagators . the whole thesis consists of six chapters 通過(guò)對(duì)具體信號(hào)的分析,對(duì)不同變換方法的信號(hào)表示效率進(jìn)行了對(duì)比,并總結(jié)了g - d框架及對(duì)其進(jìn)行尺度擴(kuò)展組成的gabor函數(shù)族在應(yīng)用于波場(chǎng)相關(guān)的研究中時(shí),優(yōu)于其它正交分解方法的特性。
百科解釋
In mathematics, particularly linear algebra, an orthogonal basis for an inner product space is a basis for whose vectors are mutually orthogonal. If the vectors of an orthogonal basis are normalized, the resulting basis is an orthonormal basis.