Proof of (2.17) From (2.10) we have with high probability for large n and uniformly in x and y √ n(F n (x, y) − ˆ F X (x) ˆ G(y)) ≤ α n x, y + log 2 n n − G(y)α n (x, ∞) − ˆ F X (x) α n ∞, y − log 2 n n + 2C log 2 n √ n , √ n(F n (x, y) − ˆ F X (x) ˆ G(y)) ≥ α n x, y − log 2 n n − G(y)α n (x, ∞) − ˆ F X (x) α n ∞, y + log 2 n n − 2C log 2 n √ n. Set V n,0 = √ n(F n − ˆ F X ˆ G). From (2.12) and...

General thermo-mechanical behavior of composites reinforced by shape memory alloy fibers is predicted using a three-dimensional analytical micromechanical method to consider the effect of fibers activation. Composite due to the micromechanical method can be exposed to general normal and shear mechanical and thermal loading which cause to activate the shape memory alloy fibers within polymeric m...

‎In this paper‎, ‎we study the numerical solution of Convection-Diffusion equation with a memory term subject to initial boundary value conditions‎. ‎Finite difference method in combination with product trapezoidal integration rule is used to discretize the equation in time and sinc collocation method is employed in space‎. ‎The accuracy and error analysis of the method are discussed‎. ‎Numeric...

objective: the study was designed to examine explicit memory bias in trait-anxiety and obsessive compulsive disorder. method: memory bias was examined in three groups of subjects: low-trait  anxious (20 subjects), high-trait anxious (20 subjects), and obsessive compulsive patients (20 subjects) in whom danger schema were activated after they were exposed the threat-related material. the trait-a...