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Spring constants of capsular tension rings

Journal of Cataract and Refractive Surgery, 2004
To determine the spring constants of several types of capsular tension rings (CTRs).Department of Ophthalmology, Johannes Gutenberg-University, Mainz, Germany.Fourteen models of CTRs provided by 9 companies were tested; all were 11.0 mm in diameter.
Sabine, Kurz, H Burkhard, Dick
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Rings of Eventually Constant Sequences

Journal of Mathematical Sciences, 2003
All rings are assumed to be associative and to have non-zero identity elements. Throughout \(A\) is a ring with Jacobson radical \(J(A)\), \(B\) is a unitary subring in \(A\), \(\{A_i\}_{i=1}^\infty\) is a countable set of copies of \(A\), \(D\) is the direct product of all the rings \(A_i\), \(B'\) is the subring \(\{(b,b,\dots)\mid b\in B\}\) of \(D\)
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CONSTANTS OF DERIVATIONS OF PRIME RINGS

Mathematics of the USSR-Izvestiya, 1982
A Galois correspondence theorem is proved for any finite-dimensional Lie -algebra of outer derivations of a prime ring of positive characteristic. A theorem is proved on the existence of a locally finite ideal, in the sense of Sirsov, over the ring of constants of such a Lie -algebra. Extension and rigidity theorems are also obtained.
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Shirshov finiteness over rings of constants

Algebra and Logic, 1997
The author studies rings of constants for restricted differential Lie algebras acting on prime rings and having nontrivial quasi-Frobenius inner part. It is shown that, under this restriction, Shirshov's local finiteness correspondence exists between a given prime ring \(R\) and the ring of constants \(R^L\).
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Force constants of CH bonds in small rings

Bulletin of the Academy of Sciences of the USSR Division of Chemical Science, 1972
1. For three-membered rings the values of the force constants of the CH bonds [Kq (CH)x] substantially exceed the corresponding values in four-, five- and six-membered rings. 2. The Kq (CH) values in three-membered rings are close to the Kq (CH) values of olefinic compounds. 3.
E. R. Razumova, V. T. Aleksanyan
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Spring constants of filament-wound composite circular rings

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2001
Closed-form solutions from complementary strain energy are derived for the spring stiffnesses of mid-surface symmetric, filament-wound, composite circular rings under unidirectional loading. A three-dimensional finite element analysis (FEA) including the effects of transverse shear has also been applied to study the problem. Four > 45° and four >
P C Tse, S R Reid, S P Ng
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On the Graded Ring of Theta-Constants

American Journal of Mathematics, 1964
Introduction. Let g be a positive integer and let T be a complex symmetric matrix of degree g with a positive-definite imaginary part. The set of such matrices forms a convex open subset of the 1 * g (g + 1) -dimensional complex vector space and (as a complex manifold) it is called the Siegel upper-half plane of degree (or "genus") g.
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Dissociation constants of thiophencarboxylic acids: calculation of ? constants for the thiophen ring

Journal of the Chemical Society B: Physical Organic, 1970
Dissociation constants for a number of substituted thiophen-5-carboxylic acids have been determined and used to evaluate σ constants for the thiophen molecule. The values obtained are in excellent agreement with those calculated by the method of Dewar and Grisdale and indicate that the sulphur atom has very little effect upon the transmission of ...
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Graded Rings of Theta Constants

1972
Let z → θm(τ, z) denote the familiar theta function on Cg;; we recall that m = (m′m″) is in R2g and τ in 𝔖g. If m is in Q2g, we call θm(τ, 0) a theta constant. Since in this chapter we shall mainly consider theta constants rather than theta functions, we make an agreement that θm means the function τ → θm(τ, 0) on 𝔖g; accordingly, we shall write θm(τ ...
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