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Let X be a smooth projective variety defined over an algebraically closed field k of positive characteristic.. By our assumption the image of f contains

Now it makes sense to ask if the curve x(s) has a tangent at the limit point x 0 ; this is exactly the formulation of the gradient conjecture in the Riemannian case.. By the

Instead an elementary random occurrence will be denoted by the variable (though unpredictable) element x of the (now Cartesian) sample space, and a general random variable will

Massoudi and Phuoc 44 proposed that for granular materials the slip velocity is proportional to the stress vector at the wall, that is, u s gT s n x , T s n y , where T s is the

THEOREM 4.1 Let X be a non-empty convex subset of the locally convex Hausdorff topological vector space E, T an upper hemicontinuous mapping of X into 2 E’, T(x) is a non-empty

Theorem 3.5 can be applied to determine the Poincar´ e-Liapunov first integral, Reeb inverse integrating factor and Liapunov constants for the case when the polynomial

One of the most classical characterizations of the real exponential function f(x)- e is the fact that the exponential function is the only (modulo a multiplicative constant)

Global transformations of the kind (1) may serve for investigation of oscilatory behavior of solutions from certain classes of linear differential equations because each of