We show that if Projective Geometric Algebra (PGA), i.e. the geometric algebra with degenerate signature (n, 0, 1), is understood as a subalgebra of Conformal (CGA) in mathematically correct sense, then flat primitives share same representation PGA and CGA. Particularly, we treat duality framework This leads to unification CGA which important especially for software implementation symbolic calc...

Current protection of critical infrastructures is often based on disparate and incompatible systems, with various grains and time scales and different control concerns. Our vision is that the heterogeneous control and security systems should be loosely but effectively integrated by the platform that generates the virtual models of the infrastructure. The introduced VR platform aims to integrate...

Map reading is unique to humans but present in people of diverse cultures, at ages as young as 4 years. Here we explore the nature and sources of this ability, asking both what geometric information young children use in maps and what non-symbolic systems are associated with their map-reading performance. Four-year-old children were given two tests of map-based navigation (placing an object wit...

Learning from experience how to manipulate an environment in a goal-directed manner is one of the central challenges in research on autonomous robots. In the case of object manipulation, efficient learning and planning should exploit the underlying relational structure of manipulation problems and combine geometric state descriptions with abstract symbolic representations. When appropriate symb...

Barshi taluka is one of the 11 tehsils Solapur district in Maharashtra India. River Bhogavati large tributary river Sina, originates at south facing scarps Balaghat range Osmanabad &flows through enters district. The period begins from 6th century BCE to 4thcentury BCE. It an important time span development Indian history, socio-economic factor. In early historic Black &Red ware potteri...

We consider the multi-view data completion problem, i.e., to complete a matrix U = [U1|U2] where the ranks of U,U1, and U2 are given. In particular, we investigate the fundamental conditions on the sampling pattern, i.e., locations of the sampled entries for finite completability of such a multi-view data given the corresponding rank constraints. In contrast with the existing analysis on Grassm...

Potsherds are very important for the archaeological research because they may date a site, reveal clues about art, technology, and subsistence of people. Potteries show relationships exchanges between people from different regions. The Kelar Hill (from now on Tapeh Kelar), Kelardasht region, is one most prehistoric sites in west Mazandaran, north-western Iran. contains cultural materials Late C...

Solving geometric metric constraints is a topical issue in CAD. An original way to solve a constraint system is to use geometric methods, providing a symbolic construction plan. Then, this plan can be numerically interpreted to generate the required figure. If multiple solutions are produced, most solvers propose to scan the entire space of the solutions found, that is generally tedious. This c...