The improved Boussinesq equation is studied in this paper. Control properties for this equation posed on a bounded interval are first considered. When the control acts through the Dirichlet boundary condition the linearized system is proved to be approximately but not spectrally controllable. In a second part, the equation is posed on the one-dimensional torus and distributed moving controls ar...

We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate...

Testing embedded cores is a challenge because access to core I/Os is limited. The user-defined logic (UDL) surrounding the core may restrict the set of test vectors that can be applied to the core. This is especially a problem for intellectual property cores and legacy design cores where the set of test vectors used to test the core is “fixed” independent of the design in which the core is embe...

In this paper, we prove the existence of solutions for impulsive fractional differential inclusions with anti-periodic boundary conditions by applying Bohnenblust-Karlin’s fixed point

Let {V (u), u ∈ T} be a discrete-time branching random walk (BRW) on the real line R driven by a point process Θ: At generation 0, there is a single particle at the origin from which we generate a point process Θ on R. The particles in Θ together their positions in R constitute the first generation of the BRW. From the position of each particle at the first generation, we generate an independen...

We present methods for speeding up the training and evaluation of linear and kernel classifiers by exploiting bounds on change in the margin for data points. Assuming the classifier’s decision boundary changes slowly, we show we can avoid recalculating the margin for many data points. We discuss several extensions and applications of this simple technique and show results applying it to gradien...

In this paper a special higher order neuron, the hypersphere neuron, is introduced. By embedding Euclidean space in a conformal space, hyperspheres can be expressed as vectors. The scalar product of points and spheres in conformal space, gives a measure for how far a point lies inside or outside a hypersphere. It will be shown that a hypersphere neuron may be implemented as a perceptron with tw...

Digital shape reconstruction is the process of creating digital models from physical parts represented by 3D point clouds. The ideal process is expected to provide a boundary representation that is likely to be identical or similar to the original design intent of the object, and requires minimal user assistance. This paper discusses alternative state-of-the-art approaches, where emphasis is pu...

nowadays, combination of gps heights with orthometric heights, derived from precise leveling, is broadly used to obtain point-wise solutions of the geoid, which is called “gps/leveling geoid”. the “gps/leveling geoid” is commonly used to constrain the gravimetric geoid solutions in a least squares surface fitting process. in this paper, unlike the usual application, the “gps/leveling geoid” is ...