نتایج جستجو برای: rk
تعداد نتایج: 2801 فیلتر نتایج به سال:
The plant specific RWP-RK family of transcription factors, initially identified in legumes and Chlamydomonas, are found in all vascular plants, green algae, and slime molds. These proteins possess a characteristic RWP-RK motif, which mediates DNA binding. Based on phylogenetic and domain analyses, we classified the RWP-RK proteins of six different species in two subfamilies: the NIN-like protei...
Lung cancer is the most common malignancy worldwide and is a focus for developing targeted therapies due to its refractory nature to current treatment. We identified a RNA helicase, DDX3, which is overexpressed in many cancer types including lung cancer and is associated with lower survival in lung cancer patients. We designed a first-in-class small molecule inhibitor, RK-33, which binds to DDX...
We construct generalized Runge{Kutta methods for integration of di erential equations evolving on a Lie group. The methods are using intrinsic operations on the group, and we are hence guaranteed that the numerical solution will evolve on the correct manifold. Our methods must satisfy two di erent criteria to achieve a given order: Coe cients Ai;j and bj must satisfy the classical order conditi...
The conventional method of imposing time dependent boundary con itioras for Runge-Kutta (RK) time advancement reduces the formal accuracy of the space-time method to first order locally, and second order globally, independently of the spatial operator. This counter intuitive result is analyzed in this paper. Two methods of eliminating this problem are proposed for the linear constant coefficien...
PURPOSE To provide estimates of the diffusional kurtosis in the healthy brain in anatomically defined areas and list these along previously reported values in pathologies. MATERIALS AND METHODS Thirty-six volunteers (mean age = 33.1 years; range, 19-64 years) underwent diffusional kurtosis imaging. Mean kurtosis (MK), radial kurtosis (RK), mean diffusivity (MD), radial diffusivity (RD), and f...
This paper will concentrate on contributions of CWI to the development of parallel Runge-Kutta (RK) methods. We shall describe two approaches to construct such methods. In both approaches, a conventional implicit RK method is used as a corrector equation whose solution is approximated by an iterative method. In the first approach, the iteration method uses a fixed number of iterations without s...
Let Φ be a uniformly distributed random k-SAT formula with n variables and m clauses. Non-constructive arguments show that Φ is satisfiable for clause/variable ratios m/n ≤ rk ∼ 2 ln 2 with high probability. Yet no efficient algorithm is know to find a satisfying assignment for densities as low as m/n ∼ rk · ln(k)/k with a non-vanishing probability. In fact, the density m/n ∼ rk · ln(k)/k seems...
1. Gain margin for a linear quadratic regulator. Let K be the optimal state feedback gain for the LQR problem with system ˙ x = Ax + Bu, state cost matrix Q ≥ 0, and input cost matrix R > 0. You can assume that (A, B) is controllable and (Q, A) is observable. We consider the system ˙ x = Ax + Bu, u = αKx, where α > 0. If α = 1, this gives the LQR optimal input, but for α = 1 this input is obvio...
Let p(x) be a hyperbolic polynomial–like function of the form p(x) = (x − r1)1 · · · (x − rN )N , where m1, . . . ,mN are given positive real numbers and r1 < r2 < · · · < rN . Let x1 < x2 < · · · < xN−1 be the N − 1 critical points of p lying in Ik = (rk, rk+1), k = 1, 2, . . . , N−1. Define the ratios σk = xk−rk rk+1−rk , k = 1, 2, . . . , N−1. We prove that mk mk+···+mN < σk < m1+···+mk m1+·...
Let R be a commutative ring. When an R-module has a particular module-theoretic property after direct summing it with a finite free module, it is said to have the property stably. For example, R-modules M and N are stably isomorphic if Rk ⊕M ∼= Rk ⊕N for some k ≥ 0. An R-module M is stably free if it is stably isomorphic to a free module: Rk ⊕M is free for some k. When M is finitely generated a...
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