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Brassinosteroids control cell proliferation in the lateral root cap of the Arabidopsis root. [PDF]
Unterholzner SJ +6 more
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Multiple idiopathic root resorption
Oral Surgery, Oral Medicine, Oral Pathology, 1970Abstract Resorption of individual teeth is a common phenomenon, but there are few reported cases of multiple idiopathic root resorption. This article reports progressive root resorption in two female patients. The resorptive process begins in the area of the cementoenamel junction of vital teeth and progressively involves all or nearly all of the ...
D A, Kerr, R M, Courtney, E J, Burkes
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On Integer Polynomials with Multiple Roots
Mathematika, 2007The authors prove the following result Theorem 1. Let \(P(X)\) be a polynomial of degree \(n \geq 2\). Denote by \(\alpha\) a zero of \(P\) of order \(s\) and \(\beta\) another zero of \(P\) of order \(t\geq s\), then \[ | \alpha-\beta| \geq 2^{-n/(2t)}(n+1)^{-n/(2s)-3n/(4st)}\text{H}(P)^{-n/(st)}\max\{1,| \alpha| \}\max\{1,| \beta| \}, \] where ...
Amou, Masaaki, Bugeaud, Yann
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Multiple external root resorption
The Journal of the American Dental Association, 1989Presented is an unusual case of multiple external root resorption. Although the cause of this resorption was not determined, several possibilities are presented. Trauma from occlusion, periodontal and pulpal inflammation, and resorption of idiopathic origin are all discussed as possible causes.
W Z, Yusof, M N, Ghazali
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An excellent numerical technique for multiple roots
Mathematics and Computers in Simulation, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Janak Raj Sharma, Sunil Kumar
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ON ROOT MULTIPLICITIES OF $H A_n^{(1)}$
International Journal of Algebra and Computation, 2002We determine the root multiplicities of the Kac–Moody Lie algebra [Formula: see text] of indefinite type using a recursive root multiplicity formula due to Kang. We view [Formula: see text] as a representation of its subalgebra [Formula: see text] and then use the combinatorics of the irreducible representations of [Formula: see text] to determine the
Jennifer Hontz, Kailash C. Misra
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