Electroptical and dynamic properties of sulfonated polystyrene molecules and their associates in chloroform

Лезов, А. В.; Polushina, G. E.; Mikhailova, M. E.; Matveeva, I. N.; Dobrun, L. A.; Ryumtsev, E. I.

doi:10.1134/s0965545x09030055

Cited by 2 publications

(11 citation statements)

References 11 publications

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“…The main idea concerns application of the least squares method, which is used to solve Eqs. (24) and (25). Namely, the functional is constructed; this func tional is the function of parameters of function f, and its minimum is associated with parameters , which correspond to the solution of the stated problem [38,39].…”

Section: Main Principles Of the Proposed Solution Methodsmentioning

confidence: 99%

“…In the case of a polydisperse system for which the Kerr law holds, Eq. (9) takes the following form [25,26]: ,…”

Section: (6)mentioning

confidence: 99%

“…Equations (24) and (25) belong to the class of incorrect problems [29]. The methods for their solu tion are associated with the introduction of additional conditions, and the desired function should satisfy these conditions (see for example, [30][31][32]).…”

Section: K X K Y F D D a X Ymentioning

confidence: 99%

“…In the method of truncated singular value decomposition, Eqs. (24) and (25) are solved in terms of least squares, ,…”

Section: Critical Review Of the Existing Approximatementioning

confidence: 99%

“…In addition to the methods for solving equations like (24) and (25), let us also mention the ν method [36] and the method of maximum entropy [37].…”

Section: Critical Review Of the Existing Approximatementioning

confidence: 99%

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Analysis of polydispersity of macromolecular and nanodisperse systems by electrooptical methods

Babadzhanyants

Voitylov

et al. 2010

Polym. Sci. Ser. C

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This work presents the general statement of the mathematical problem for estimating the distri bution functions of particles with respect to their parameters from the data on electrooptical studies of dis persed systems. The most typical equations describing electrooptical effects in solutions of kinetically rigid macromolecules and nanoscale systems are given, and the method for their solution is proposed. Using model distribution functions, the proposed method is compared with the regularization method.

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Section: Main Principles Of the Proposed Solution Methodsmentioning

confidence: 99%

“…In the case of a polydisperse system for which the Kerr law holds, Eq. (9) takes the following form [25,26]: ,…”

Section: (6)mentioning

confidence: 99%

Section: K X K Y F D D a X Ymentioning

confidence: 99%

“…In the method of truncated singular value decomposition, Eqs. (24) and (25) are solved in terms of least squares, ,…”

Section: Critical Review Of the Existing Approximatementioning

confidence: 99%

“…In addition to the methods for solving equations like (24) and (25), let us also mention the ν method [36] and the method of maximum entropy [37].…”

Section: Critical Review Of the Existing Approximatementioning

confidence: 99%

See 3 more Smart Citations