Analytical solutions of a generalized function equation in the theory of fluids 流體力學(xué)中一個(gè)廣義函數(shù)方程解析解的存在性
A survey concerned with the wavelet analysis ' s developing history , current situation of generalized functions and the research background of signal ' s arriving points is given 對小波分析的發(fā)展簡史、廣義函數(shù)的現(xiàn)狀和瞬態(tài)信號參數(shù)檢測的研究背景作出綜述。
Furthermore , in order to make a necessary foundation for further research , the relevant knowledge about wavelet analysis and generalized functions is introduced briefly 并簡要介紹小波分析及廣義函數(shù)的一些基本原理與相關(guān)知識,以此作為本課題研究的必備基礎(chǔ)。
On the basis of the classical valuation method of generalized functions , the set value of a generalized function has been defined by the equivalent value mode and the uniform convergence method 摘要在廣義函數(shù)的經(jīng)典賦值方法的基礎(chǔ)上利用等價(jià)方式及一致收斂方法定義了一種廣義函數(shù)的集值。
And then based on the generalized function and distribution theory , it presents two corollaries that are relate to singularity detection and the wavelet transform modulus maxima line ( wtmml " s ) 結(jié)合廣義函數(shù)與分布理論,提出了兩個(gè)用于描述瞬態(tài)信號波至點(diǎn)檢測與小波變換模極大值曲線( wtmml ' s )之間關(guān)系的新推論。
The physics meaning of these two corollaries is explained by virtual of the generalized functions " weak - convergence theory . there exist some disadvantages such as low measuring resolution and high calculating amount for multi - scale wavelet transform when the noise in signals is higher 與一般基于多尺度分解的小波變換的檢測方法相比,這種新的函數(shù)檢測函數(shù)可以在保證檢測精度的同時(shí),拓寬小波變換中用于信號檢測的尺度范圍。
The algorithm ' s ideal is benint from the ideal of generalize projection technique and strongly subfeasible direction algorithm . it can be approximately describe as follows : firstly , by the introductin of a perturbed parameter / / , replace the complementarity constraints with a generalized function , then ( mpec ) can be reformulated equivalently nonlinear constraints programs . secondly . combine the ideal of strongly subfeasible direction algorithm and generalized projction tech - nique , we setup a generalized strongly subfeasible direction algorithm 本學(xué)位論文結(jié)合廣義投影技術(shù)和強(qiáng)次可行方向法思想,建立一個(gè)新算法,該算法的主要思想大致可描述如下:首先引入一個(gè)趨向于0的參數(shù),用一個(gè)互補(bǔ)函數(shù)代替性質(zhì)不好的互補(bǔ)約束,將問題等價(jià)的轉(zhuǎn)化為一般的非線性約束最優(yōu)化問題,然后結(jié)合廣義投影技術(shù)和強(qiáng)次可行方向法思想,建立一個(gè)廣義強(qiáng)次可行方向算法
百科解釋
In mathematics, generalized functions are objects extending the notion of functions. There is more than one recognized theory.