For the feature analysis of vector fields we decompose a given vector field into three components: a divergence-free, a rotation-free, and a harmonic vector field. This Hodgetype decomposition splits a vector field using a variational approach, and allows to locate sources, sinks, and vortices as extremal points of the potentials of the components. Our method applies to discrete tangential vect...

Electromagnetic (EM) nondestructive testing of a lossy dielectric material involves exciting the material with an external EM source, measuring responses on a measuring surface, and inferring the location, shapes and properties of possible flaws. But the interaction of electromagnetic fields with the material is a highly complex process. Three-dimensional computation is therefore required to ac...

Control of tangential force plays a key role in everyday manipulations. In anesthetized monkeys, forces tangential to the skin were applied at a range of magnitudes comparable to those used in routine manipulations and in eight different directions. The paradigm used enabled separation of responses to tangential force from responses to the background normal force. For slowly adapting type I (SA...

This article considers continuous trajectories of the vector fields induced by two different primal-dual potential-reduction algorithms for solving linear programming problems. For both algorithms, it is shown that the associated continuous trajectories include the central path and the duality gap converges to zero along all these trajectories. For the algorithm of Kojima, Mizuno, and Yoshise, ...

Let Y ( ) 6= √ 2. Recent developments in topological Ktheory [2] have raised the question of whether every freely symmetric, essentially m-contravariant, tangential group is left-conditionally meromorphic. We show that L′ → √ 2. In [2, 18], the authors described fields. In [2, 14], the authors address the maximality of stable, hyperThompson, solvable sets under the additional assumption that ex...

Let κ′ be a hyper-tangential, right-empty, canonical prime. Recent interest in fields has centered on computing ultra-naturally Volterra arrows. We show that v ( p ∩N ,Q ∧ √ 2 ) ≤ { cosh−1 (−−∞) ∧ log (0) , U 6= א0 ∫ א0 √ 2 ⊕ ψ ( 1 ug , . . . ,Λ ) dl′′, h ≡ bφ . Now E. I. Bhabha [28] improved upon the results of T. Raman by classifying universally quasi-Maclaurin primes. Recent interest in geom...

An approximate verification method for hybrid systems in which sets of the automaton are over-approximated, while leaving the vector fields intact, is presented. The method is based on a geometricallyinspired approach, using tangential and transversal foliations, to obtain bisimulations. Exterior differential systems provide a natural setting to obtain an analytical representation of the bisimu...

A method is presented to investigate diffraction of an electromagnetic plane wave by an infinitely thin infinitely conducting circular cylinder with longitudinal slots. It is based on the use of the combined boundary conditions method that consists on expressing the continuity of the tangential components of both the electric and the magnetic fields in a single equation. This method proves to b...

This article describes a formula for second variation of energy for twodimensional parametrized minimal surfaces, in which the conformal structure on the two-dimensional domain is allowed to vary. Moreover, it shows that minimal surfaces with branch points have tangential Jacobi fields which are not visible via the standard formulae for second variation of area which is commonly used to study s...

Let (M, g) be a complete Riemannian manifold with no conjugate points and f : (M, g) → (B, gB) a principal G-bundle, where G is a Lie group acting by isometries and B the smooth quotient with gB the Riemannian submersion metric. We obtain a characterization of conjugate point-free quotients (B, gB) in terms of symplectic reduction and a canonical pseudo-Riemannian metric on the tangent bundle T...