# Plasma relaxation and the turbulent dynamo

## Related Articles

- On some resonance cases in quasilinear differential systems with slowly varying parameters. Shchogolev, S. // Journal of Mathematical Sciences;Jan2012, Vol. 180 Issue 1, p81
For a quasilinear differential system of the second order whose coefficients have the form of Fourier series with slowly varying coefficients and frequency, we find features of existence of a partial solution of analogous structure with slowly varying coefficients and frequency in the case of...

- ON DIVISIBILITY OF BINOMIAL COEFFICIENTS. SUN, ZHI-WEI // Journal of the Australian Mathematical Society;Oct2012, Vol. 93 Issue 1/2, p189
In this paper, motivated by Catalan numbers and higher-order Catalan numbers, we study factors of products of at most two binomial coefficients.

- The Inverse Legendre Transform of a Certain Family of Sequences. Zudilin, V.V. // Mathematical Notes;Jul/Aug2004, Vol. 76 Issue 1/2, p276
Examines the inverse Legendre transform of a certain family of sequences. Legendre transform of a numerical sequence; Expression of the denominators of the convergents; Proof of the irrationality of the number; Consideration of binomial coefficients as zero in Schmidt's problem; Features of a...

- THE EIGENVECTORS OF A COMBINATORIAL MATRIX. Akkus, Ilker // Communications Series A1 Mathematics & Statistics;jan2011, Vol. 60 Issue 1, p9
In this paper, we derive the eigenvectors of a combinatorial matrix whose eigenvalues studied by Kilic and Stanica. We follow the method of Cooper and Melham since they considered the special case of this matrix.

- Controlling spatio-temporal chaos in a nonlinear optical system by Fourier space filtering. Kwak, Keumcheol; Park, Jeong Ku; Lim, Tong Kun; Yu, Young Hun; Jo, Jae Cheol // AIP Conference Proceedings;2000, Vol. 501 Issue 1, p350
We present an experimental and numerical study on the selection of unstable patterns embedded in a nonlinear optical system in weakly or strongly turbulent states by Fourier space filtering. This is implemented on a liquid crystal light valve showing abundant stationary and dynamic patterns. We...

- L-approximation rate of certain trigonometric series. Le, R.; Zhou, S. // Acta Mathematica Hungarica;Jan2012, Vol. 134 Issue 1/2, p29
By employing new ideas and techniques, we will refigure out the whole frame of L-approximation. First, except generalizing the coefficients from monotonicity to a wider condition, Logarithm Rest Bounded Variation condition, we will also drop the prior requirement fâˆˆ L but directly consider...

- Representation of Functions by Walsh's Series with Monotone Coefficients. Melikbekyan, Razmik // Journal of Mathematics Research;Mar2013, Vol. 5 Issue 1, p107
There exists a series in the Walsh system {Ï†n} of the form âˆžÎ£i=1 Î´iÏ†i with âˆ£Î±iâˆ£ â†“0, that possess the following properties: For any Îµ > 0 and any function f âˆˆ L1(0,1) there exists set E âŠ‚ [0,1] (âˆ£Eâˆ£ > 1-2) and a sequence...

- An example of the sequence of coefficients of a double trigonometric series. D'yachenko, M. // Mathematical Notes;Aug2011, Vol. 90 Issue 1/2, p41
We construct an example of a double sequence a of nonnegative numbers that are monotone decreasing to zero in the first index for any fixed value of the second index and two Hadamard lacunary sequences of natural numbers such that the double trigonometric lacunary monotone series with the...

- Luzin's correction theorem and the coefficients of Fourier expansions in the Faber-Schauder system. Grigoryan, M.; Krotov, V. // Mathematical Notes;Jan2013, Vol. 93 Issue 1/2, p217
Suppose that b â†“ 0 and Î£( b/ n)=+âˆž. In this paper, it is proved that any measurable almost everywhere finite function on [0, 1] can be corrected on a set of arbitrarily small measure to a continuous function $\tilde f$ so that the nonzero moduli $|A_n (\tilde f)|$ of the...