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26 Jul 2013: c same as b but for dimers pointing in the op-posite direction; note the change in the sign of the dimer-dimereffective interaction.

26 Jul 2013: Thecost function J must weigh together the state x, thecontrol u, and the noise w; moreover, since the GL op-erator is time invariant, one can apply the control theoryfor infinite

26 Jul 2013: a more traditional measure of locomotion cost themechanical work of the crawling organism, we find the op-posite result.

27 Aug 2013: On a cylindrical shell, the gradient op-erator reads. = eθ1R. θ.

5 Oct 2013: In the finite-dimensional case every self-adjoint matrix is tridiagonalizable.This is not the case in infinite dimensions, however, it is well known that if a self-adjoint op-erator ... The problem is that our op-erator may not have a cyclic vector,

5 Oct 2013: Our approach is modeled on the abstractStetter-Lindberg-Skeel error analysis [15, 12, 14], which treats the initial value problem (IVP) as an op-erator equation approximated by a discrete operator

5 Oct 2013: exponential convergence whenevern = O (. m). We note that the use of polynomial least squares for overcoming the Gibbs phenomenon, as op-posed to the Runge phenomenon, is far less well known.

5 Oct 2013: as op-posed to an mm section).

5 Oct 2013: In the finite-dimensional case every self-adjoint matrix is tridiagonalizable.This is not the case in infinite dimensions, however, it is well known that if a self-adjoint op-erator ... The problem is that our op-erator may not have a cyclic vector,

5 Oct 2013: Our approach is modeled on the abstractStetter-Lindberg-Skeel error analysis [15, 12, 14], which treats the initial value problem (IVP) as an op-erator equation approximated by a discrete operator