35,565 research outputs found

    FMNL1 promotes growth and metastasis of breast cancer by inhibiting BRCA1 via upregulation of HMGA1

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    In the earlier published article, “Herbei Province” included in the affiliation of the second author is incorrect. “Chongqing” is a municipality directly under the Central Government and does not belong to "Hebei Province”. At the request of the author, the correct affiliation is provided above. New citation: Zhang Q, Yang H, Tang C, Wang Q, Ren L, Jia C, et al. FMNL1 promotes growth and metastasis of breast cancer by inhibiting BRCA1 via upregulation of HMGA1. Trop J Pharm Res 2021; 20(8):1559-1564 doi: 10.4314/tjpr.v20i8.2. Erratum: 2022; 21(8): 1807 doi: 10.4314/ tjpr.v 21i8.31 Earlier citation: Zhang Q, Yang H, Tang C, Wang Q, Ren L, Jia C, et al. FMNL1 promotes growth and metastasis of breast cancer by inhibiting BRCA1 via upregulation of HMGA1. Trop J Pharm Res 2021; 20(8):1559-1564 doi: 10.4314/tjpr.v20i8.

    Xtoys: cellular automata on xwindows

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    Xtoys is a collection of xwindow programs for demonstrating simulations of various statistical models. Included are xising, for the two dimensional Ising model, xpotts, for the qq-state Potts model, xautomalab, for a fairly general class of totalistic cellular automata, xsand, for the Bak-Tang-Wiesenfield model of self organized criticality, and xfires, a simple forest fire simulation. The programs should compile on any machine supporting xwindows.Comment: 4 pages, one figure, uuencoded compressed postscript Contribution to Lattice '95 Also available at http://penguin.phy.bnl.gov/www/papers/BNL-62123.ps.Z Programs available at http://penguin.phy.bnl.gov/www/xtoys/xtoys.htm

    Euclidean and Hermitian LCD MDS codes

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    Linear codes with complementary duals (abbreviated LCD) are linear codes whose intersection with their dual is trivial. When they are binary, they play an important role in armoring implementations against side-channel attacks and fault injection attacks. Non-binary LCD codes in characteristic 2 can be transformed into binary LCD codes by expansion. On the other hand, being optimal codes, maximum distance separable codes (abbreviated MDS) have been of much interest from many researchers due to their theoretical significant and practical implications. However, little work has been done on LCD MDS codes. In particular, determining the existence of qq-ary [n,k][n,k] LCD MDS codes for various lengths nn and dimensions kk is a basic and interesting problem. In this paper, we firstly study the problem of the existence of qq-ary [n,k][n,k] LCD MDS codes and completely solve it for the Euclidean case. More specifically, we show that for q>3q>3 there exists a qq-ary [n,k][n,k] Euclidean LCD MDS code, where 0knq+10\le k \le n\le q+1, or, q=2mq=2^{m}, n=q+2n=q+2 and k=3orq1k= 3 \text{or} q-1. Secondly, we investigate several constructions of new Euclidean and Hermitian LCD MDS codes. Our main techniques in constructing Euclidean and Hermitian LCD MDS codes use some linear codes with small dimension or codimension, self-orthogonal codes and generalized Reed-Solomon codes

    Extension of a theorem of Duffin and Schaeffer

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    Let r1,,rs:Zn0Cr_1,\ldots,r_s:\mathbb{Z}_{n\geqslant 0}\to\mathbb{C} be linearly recurrent sequences whose associated eigenvalues have arguments in πQ\pi\mathbb{Q} and let F(z):=n0f(n)znF(z):=\sum_{n\geqslant 0}f(n)z^n, where f(n){r1(n),,f(n)\in\{r_1(n),\ldots, rs(n)}r_s(n)\} for each n0n\geqslant 0. We prove that if F(z)F(z) is bounded in a sector of its disk of convergence, it is a rational function. This extends a very recent result of Tang and Wang, who gave the analogous result when the sequence f(n)f(n) takes on values of finitely many polynomials.Comment: 2 page
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