there is a complicated relation between cold flat rolling parameters such as effective input parameters of cold rolling, output cold rolling force and exit thickness of strips. in many mathematical models, the effect of some cold rolling parameters has been ignored and the outputs have not a desirable accuracy. in the other hand, there is a special relation among input thickness of strips, the ...

In this short note we give a simple geometric proof of the Collapsing Walls Lemma given by I. Pak and R. Pinchasi in [1]. Our arguments work in spaces of constant curvature.

“We are without allies amongst the Iraqi populace, including those who have benefited from the ouster of Saddam. . . . Across Baghdad, Latifiyah, Mahmudiyah, Salman Pak, Baqubah, Balad, Taji, Baiji, Ramadi, and just about everywhere else you can name, the people absolutely hate us. . . . The Iraqi people have not bought into what the Americans are selling, and no amount of military activity is ...

For each skew shape we define a nonhomogeneous symmetric function, generalizing a construction of Pak and Postnikov [9]. In two special cases, we show that the coefficients of this function when expanded in the complete homogeneous basis are given in terms of the (reduced) type of k-divisible noncrossing partitions. Our work extends Haiman’s notion of a parking function symmetric function [5, 10].