Polar coordinates are used for the complex scalar free field in D = 4 dimensions. The resulting non renormalizable theory is healed by using a recently proposed symmetric subtraction procedure. The existence of the coordinates transformation is proved by construction. This work is supported in part by funds provided by the U.S. Department of Energy (D.O.E.) under cooperative research agreement ...

Steering large-scale particle or robot systems is challenging because of their high dimensionality. We use a centralized stochastic approach that allows for optimal control at the cost central element instead decentralized approach. Previous works are often restricted to assumption fully actuated robots. Here we propose an underactuated robots energy-efficient system. consider simple task gathe...

Linear transformations have been routinely applied in various field applications since they permit a straightforward geometric relationship between different coordinate systems. The most general form of linear transformations which is also referred to as the affine model allows coordinate transformations between non-uniformly dilated systems. This particular model is intrinsically useful for da...

We show how Ramond free neutral Fermi fields lead to a τ -function theory of BKP type which describes iso-orthogonal deformations of systems of ortogonal curvilinear coordinates. We also provide a vertex operator representation for the classical Ribaucour transformation.

In this study, this researcher designed the routine of image analysis with object concept, so as to increase the efficiency of displacement interpretation of structure by digital image analysis. For the hierarchical connection performance of analysis routine, this researcher formed the constant attribute of objectification of photogrammetry process by constituting the classes such as target loc...

1. We define an extrinsic frame of reference to represent the location of a point in extrapersonal space relative to a human subject's shoulder, and we define an intrinsic frame of reference to represent the orientation of the arm and forearm. 2. We examined the relations between coordinates in the extrinsic and intrinsic frames of reference under two experimental conditions: when subjects made...

The connection is established between two different action principles for perfect fluids in the context of general relativity. For one of these actions, S, the fluid four–velocity is expressed as a sum of products of scalar fields and their gradients (the velocity–potential representation). For the other action, S̄, the fluid four–velocity is proportional to the totally antisymmetric product of ...