Aims. Twisted magnetic fields are frequently seen to emerge above the visible surface of the Sun. This emergence is usually associated with the rise of buoyant magnetic flux structures. Here we ask how magnetic fields from a turbulent large-scale dynamo appear above the surface if there is no magnetic buoyancy. Methods. The computational domain is split into two parts. In the lower part, which ...

Perceived quality in industrial design constitutes CMF (color, material, and finish). Previous studies have explored the impact of car color materials used on consumer behavior; however, there are only few type surface finish, which this study focuses on. In automobile industry, matte finish is provided mainly for luxury products. It also known that exterior automobiles improves perceived by re...

Let X = G=K be an odd-dimensional semisimple Riemannian symmetric space of the noncompact type, and suppose that all Cartan subgroups of G are conjugate. Let u be a real-valued classical solution of the modiied wave equation u tt = ((+ k)u on R X, the Cauchy data of which are supported in a closed metric ball of radius a at time t = 0. Here t is the coordinate on R, is the (nonpositive deenite)...

In joint work with S.-T. Yau, we construct new cohomologies of differential forms and elliptic operators on symplectic manifolds. Their construction can be described simply following a symplectic decomposition of the exterior derivative operator into two first-order differential operators, which are analogous to the Dolbeault operators in complex geometry. These first-order operators lead to ne...

A signed graph is a graph whose edges are given ±1 weights. In such a graph, the sign of a cycle is the product of the signs of its edges. A signed graph is called balanced if its adjacency matrix is similar to the adjacency matrix of an unsigned graph via conjugation by a diagonal ±1 matrix. For a signed graph Σ on n vertices, its exterior kth power, where k = 1, . . . , n−1, is a graph ∧k Σ w...

any language foremost is composed of words and words are one of the most important elements in conveying meaning and they have different diversities and levels in conveying this meaning. quranic words are not the exception; therefore, to discover and to understand the different levels of conveying meaning (exterior and inner) by words, the quran reader can be more aware of the meaning and the p...

Over a field of characteristic zero, we introduce two motivic operations on additive higher Chow cycles: analogues of the Connes boundary B operator and the shuffle product on Hochschild complexes. The former allows us to apply the formalism of mixed complexes to additive Chow complexes building a bridge between additive higher Chow theory and additive K-theory. The latter induces a wedge produ...

We define the notion of a principal S-bundle where S is a groupoid group bundle and show that there is a one-to-one correspondence between principal S-bundles and elements of a sheaf cohomology group associated to S. We also define the notion of a locally unitary action and show that the spectrum of the crossed product is a principal b S-bundle. Furthermore, we prove that the isomorphism class ...

The development world of consumers market is enabling new technologies for our daily life and is improving our life style. The technologies are mainly digital and they will advance very, very rapidly as the competition on this field has become quite intense. The device that will enter our house, our pockets and why not, our bodies will need more flexibility, more market touch in product concept...

The “Parametric Prototype” has been developed as a tool for integrated parametric and physical shape representation to optimize styling and design. This tool will be applied in the early phases of the product development process at an appropriate level of detail, e.g. for the fast visualization of car parameters and proportions of the exterior car body. The development comprises a method that c...