numerical range in Chinese
Translation
Mobile
- 數(shù)值范圍
- "numerical" in Chinese : adj. 數(shù)字的;數(shù)值的;用數(shù)字表示的。 (a) num ...
- "range" in Chinese : vt. 1.排列;整理(頭發(fā)等)。 2.使歸類(lèi)[班、行、 ...
- "numerical" in Chinese : adj. 數(shù)字的;數(shù)值的;用數(shù)字表示的。 (a) numerical ord ...
- "a range of" in Chinese : 一套
- "at a range" in Chinese : 距離為
- "in range" in Chinese : 串視; 在射程內(nèi)
- "in range with" in Chinese : 和...并列
- "in the range of" in Chinese : 在...范圍之內(nèi)
- "range" in Chinese : vt. 1.排列;整理(頭發(fā)等)。 2.使歸類(lèi)[班、行、隊(duì)];把…分類(lèi)。 3 ...
- "range with" in Chinese : 使與...并列
- "analysis, numerical" in Chinese : 數(shù)字分析
- "aperture, numerical" in Chinese : 數(shù)值孔徑
- "application numerical" in Chinese : 數(shù)值應(yīng)用
- "control, numerical" in Chinese : 數(shù)值控制
- "error in numerical" in Chinese : 數(shù)值計(jì)算誤差
Examples
- The numerical range of non - negative matrix
非負(fù)矩陣的數(shù)值域 - In the second part : the emphasis is put on the n - numerical range
第二部分:研究了二次數(shù)值域的推廣: n次數(shù)值域。 - In the last part : the emphasis is put on the relations between the numerical range and operator completion problem
第三部分:研究了數(shù)值域與算子補(bǔ)問(wèn)題。 - It is found that , the modes of coaxial optical emission of dissimilar gaps , clustering at distinct numerical range , can distinguish 1st , 2nd and 3rd class welds of different welding quality effectively
結(jié)果表明,同軸光信號(hào)幅值的眾數(shù)在不同間隙的焊縫段,聚集在線(xiàn)性可分的不同的區(qū)間,可以有效分開(kāi)焊接質(zhì)量不同的類(lèi)、類(lèi)、類(lèi)焊縫;信號(hào)的分段功率譜分析能夠較為直觀地反映焊接狀態(tài)的變化。 - On the other hand , benefit from the facts above and according to the properties of the numerical range , we study the operator spectrum perturbation problem , in the last , we give some better proofs on some theorems which simplify the original proof much
其次,受前面的引理的啟發(fā),根據(jù)一個(gè)算子的數(shù)值域和它的譜之間的關(guān)系,研究了數(shù)值域與譜擾動(dòng)問(wèn)題,在本章的最后,我們給出了幾個(gè)證明的改進(jìn) - The subject is related and has applications to many different branches of pure and applied science such as operator theory , functional analysis , c " - algebras , banach algebras , matrix norms , inequalities , numerical analysis , perturbation theory , matrix polynomials , systems theory , quantum physics , etc . in recent years , the quadratic numerical range , one of the most important generalizations of the numerical range , was put forward in the course of people studying the spectral theory of the block operator matrix to the need of the development of some branches mentioned above
對(duì)它們的研究涉及到了基礎(chǔ)數(shù)學(xué)及應(yīng)用數(shù)學(xué)許多不同的分支,諸如算子理論,泛函分析, c ~ * -代數(shù), banach代數(shù),矩陣范數(shù),不等式,數(shù)值分析,擾動(dòng)性理論,矩陣多項(xiàng)式,系統(tǒng)論,量子物理等等,并且在這些分支上面得到了廣泛的應(yīng)用。近年來(lái),為了上述某些數(shù)學(xué)分支發(fā)展的需要,人們?cè)谘芯糠謮K算子矩陣譜理論的過(guò)程中引入了數(shù)值域的一個(gè)重要推廣:二次數(shù)值域。 - Research on quadratic numerical range of bounded linear operators zhang jingjie abstract the study of numerical range started in 1918 - 1919 by toeplitz and hausdorff when they first proved that w ( a ) is always convex , since then , the study of numerical range theory had been one of the most active research areas
自toeplitz和hausdorff在1918 - 1919年首先證明了toeplitz - hausdorff定理以后,有關(guān)數(shù)值域、數(shù)值半徑以及各種廣義數(shù)值域及其數(shù)值域半徑的研究變得非?;钴S。 - As we all know , one of the main aim of the spectral theory research is to find out the location of the spectrum , it is just because of the quadratic numerical range gives a better information about the localization of the spectrum than the numerical range and that provoke my interest to study the quadratic numerical range . the aim of this paper is to make a deep investigate in this area , the main content as follows : the first part of this paper pays the emphasis on the quadratic numerical range
我們知道,研究譜理論的一個(gè)重要目的就是了解譜的位置特征,通過(guò)對(duì)比可知,二次數(shù)值域較之?dāng)?shù)值域能夠更好地給出所給算子的譜的位置特征,這引起了我們的研究興趣,本文將著重就二次數(shù)值域的相關(guān)問(wèn)題進(jìn)行較深入地研究,同時(shí)我們還提出了一些有待解決的問(wèn)題,我們認(rèn)為這些問(wèn)題是值得大家共同去研究和探討的。 - After we define the n - numerical range of bounded linear operators on a hilbert space , we find that the n - numerical range have a series properties very similar to that of the quadratic numerical range . at the same time , we prove that under certain conditions , wn ( a ) c w ~ ( a ) and that when h is finite dimensional and dimti = n , we have a ( a ) = wn ( a ) . therefore , it is nature to guess that when h is an infinite dimensional hilbert space , for any space decomposition dn ? ?
首先給出了n次數(shù)值域的定義,我們發(fā)現(xiàn)n次數(shù)值域不但具有一系列和二次數(shù)值域類(lèi)似的性質(zhì),而且在給定的條件下還有n次數(shù)值域包含在二次數(shù)值域當(dāng)中,另外當(dāng)是n維hilbert空間時(shí),它的n次數(shù)值域就等于它的譜集,前面的結(jié)論促使我們猜想,當(dāng)是無(wú)限維hilbert空間時(shí),對(duì)的任意的空間分解d _ n ,都應(yīng)該有下面的式子成立: ( a ) = _ ( d _ n d ) w _ ( d _ n ) ~ n ( a ) 。
- More examples: 1 2
Other Languages
- "numerical range" meaning in Japanese: 數(shù)値域{すうち いき}
- "numerical range" meaning in Russian: мат. область числовых значений
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Neighbors
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- "numerical rating system" in Chinese
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