An explicit form for Kerov's character polynomials [PDF]
Kerov considered the normalized characters of irreducible representations of the symmetric group, evaluated on a cycle, as a polynomial in free cumulants. Biane has proved that this polynomial has integer coefficients, and made various conjectures. Recently, Sniady has proved Biane's conjectured explicit form for the first family of nontrivial terms in
Goulden, I. P., Rattan, A.
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Correlation of EFL learners’ metalinguistic knowledge and grammatical accuracy
Grammar teaching has been a topic of debate for a considerably long time. Researchers and teachers discussed the benefits and shortcomings of its explicit instruction, which entails students’ awareness of metalanguage.
Abdulaziz B Sanosi
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Explicit Methods for Hilbert Modular Forms [PDF]
52 pages, 10 figures, many ...
Dembélé, Lassina, Voight, John
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ALGORITHM IMPLEMENTATION OF INTEGRATED MACROMODEL EXPLICIT FORM [PDF]
It is shown that the class of adequate mathematical models of dynamic objects of varying complexity is integrated model, built on the principle "input - output". It is important that this class of models, presented as a macro model of the object based on its input and output, suitable for linear and nonlinear modeling tasks productions.
Verlan, Andriy +2 more
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The explicit form of the switching surface in admissible synthesis problem
In this article we consider the problem related to positional synthesis and controllability function method and more precisely to admissible maximum principle.
V. I. Korobov, O. S. Vozniak
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Explicit vocabulary instruction: Effects of vocabulary learning on Form Two ESL learners
Per its English curriculum, vocabulary instruction is only integrated indirectly in the teaching of reading, writing, listening, and speaking skills in Malaysian schools. ESL learners then may overlook the variety of meanings that a word and its spelling
Mohd Haniff Mohd Tahir +4 more
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Effect of explicit and implicit FFI on EFL learners' implicit and explicit knowledge of simple and difficult morphosyntactic features [PDF]
This study investigated the relative effects of explicit and implicit form-focused instruction (FFI) on the acquisition of four simple and difficult morphosyntactic features as assessed by explicit and implicit outcome measures.
Majid Ghorbani, Mahmood Reza Atai
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Explicit form of Cassels' $p$-adic embedding theorem for number fields [PDF]
In this paper, we mainly give a general explicit form of Cassels' $p$-adic embedding theorem for number fields. We also give its refined form in the case of cyclotomic fields.
Dubickas, Arturas +2 more
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Popov form and the explicit equations of inverse systems; pp. 342–355 [PDF]
The paper addresses the invertibility problem for discrete-time nonlinear control systems, described by the inputâoutput equations. The necessary and sufficient conditions for the existence of left and right inverse systems are given.
Zbigniew Bartosiewicz +4 more
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Monomial multiplicities in explicit form [PDF]
Denote by [Formula: see text] a polynomial ring over a field, and let [Formula: see text] be a monomial ideal of [Formula: see text]. If [Formula: see text], we prove that the multiplicity of [Formula: see text] is given by [Formula: see text] On the other hand, if [Formula: see text] is a complete intersection, and [Formula: see text] is an almost ...
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