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THE SPACE OBJECT STATE TRANSFORM,[object Object],Framework to realize spacesand objects . To define and perform transforms, behaviors actions ,[object Object],SHRIPADRAJ MUJUMDAR [ PRASANNA],[object Object],prasannam@yahoo.com,[object Object]
Overview,[object Object],[object Object]
In modern mathematics spaces are defined as sets with some added structure. They are frequently described as different types of manifolds which are spaces that locally approximate to Euclidean space and where the properties are defined largely on local connectedness of points that lie on the manifold. There are however, many diverse mathematical objects that are called spaces. For example, function spaces in general have no close relation to Euclidean space.
Theories such as string theory and M-theory predict that physical space in general has in fact 10 and 11 dimensions, respectively. The extra dimensions are spatial. We perceive only three spatial dimensions, and no physical experiments have confirmed the reality of additional dimensions. A possible explanation that has been suggested is that space acts as if it were "curled up" in the extra dimensions on a subatomic scale, possibly at the quark/string level of scale or below Shripadraj Mujumdar [ Prasanna],[object Object],prasannam@yahoo.com,[object Object]
Overview,[object Object],Geometry is  concerned with questions of size, shape, relative position of figures, and the properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow. Since the 19th-century discovery of non-Euclidean geometry, the concept of space has undergone a radical transformation. ,[object Object],Contemporary geometry considers manifolds, spaces that are considerably more abstract than the familiar Euclidean space, which they only approximately resemble at small scales. These spaces may be endowed with additional structure, allowing one to speak about length. Modern geometry has multiple strong bonds with physics, exemplified by the ties between Riemannian geometry and general relativity. One of the youngest physical theories, string theory, is also very geometric in flavor.,[object Object],Shripadraj Mujumdar [ Prasanna],[object Object],prasannam@yahoo.com,[object Object]
Framework  Concept,[object Object],Codenamed it as TOAST …stands for The Object And Space state Transform, the expression T in angular bracket indicates generalness as applied to any domains such as scientific, commercial, medical, robotics etc….,[object Object],The Framework being discussed here , allows you to create various types of spaces of complex nature as we saw,[object Object],It allows both mathematical and virtual model,[object Object],The Mathematical model is useful for statistical, scientific, engineering applications,[object Object],The Virtual Model is useful for representing data across non numeric dimensions, like we do in data warehousing,[object Object],The Hybrid Model- you can mix both models to create your own complex domain representation as domain space,[object Object],Shripadraj Mujumdar [ Prasanna],[object Object],prasannam@yahoo.com,[object Object]
Framework Concept,[object Object],A physical body is an enduring object that exists throughout a particular trajectory of space and orientation over a particular duration of time, and which is extended in the world of physical space.,[object Object],You can add objects to spaces.,[object Object],Object by itself holds space inside it and in fact represent  a bound space.,[object Object],The objects have set of properties, behaviors, constraints ,transforms, abilities, tendencies,[object Object],Objects may have Vectors, operating within them, on them ,[object Object],The Objects and Spaces are connected to each other through references and events,[object Object],Shripadraj Mujumdar [ Prasanna],[object Object],prasannam@yahoo.com,[object Object]
Framework Use and Benefits,[object Object],Shripadraj Mujumdar [ Prasanna],[object Object],prasannam@yahoo.com,[object Object]
THE SPACE OBJECT STATE TRANSFORM,[object Object],SPACE,[object Object],Shripadraj Mujumdar [ Prasanna],[object Object],prasannam@yahoo.com,[object Object]
DEFINITION OF SPACE ,[object Object],Supported,[object Object],Possible,[object Object],Typical Space,[object Object],The space by itself represents layered structure in term of inner space, micro inner space as well as set of outer spaces like  mega, ultra, super….thereby representing subatomic to cosmic [light year] spaces. It is possible to define regions of spaces which in turn are space by them self. The spaces can have vectors operating at space level or at point level as discrete effect.,[object Object]
OBJECT  CONTAINMENT  IN  TYPICAL  SPACE ,[object Object],OBJECT,[object Object],You can add objects in spaces which are nothing but bound space along with number of properties, behaviors, transforms and tendencies. The objects can interact with other objects and spaces by it. Every object, space, point in space has relative time dimension, thereby enabling “Relativity”. You may also define virtual spaces for business data mining.,[object Object]
SPACER OBJECT MODEL,[object Object],Abstract,[object Object],Generic,[object Object],Numerical,[object Object],Virtual Layer,[object Object],Numerical, varieties,[object Object],Domain Customized Virtual Layer,[object Object],The diagram illustrates types of spaces, essentially all are multidimensional, The Virtual space essentially can be numeric underlying if need be. The hybrid spaces can be constructed by using various types of dimensions,[object Object]
SPACE COMPOSITION,[object Object],Space is composed of various constituent objects as shown in diagram,[object Object]
POINTS,[object Object],SPACE DIMENSIONS,[object Object],DIMENSIONAL COORDINATES,[object Object],Space is defined by dimensions, each dimension has set of coordinates. Space can hold a minimal object of zero dimensional values, a Point . Point can be physical or virtual based on type of space ,[object Object]
THE SPACE OBJECT STATE TRANSFORM,[object Object],OBJECTS,[object Object]
OBJECTS MODEL,[object Object],The Space can hold Objects, The Objects can be of different types,[object Object]
OBJECT COMPOSITION,[object Object],The Object is composed of constituent elements as shown in diagram.,[object Object]
THE SPACE OBJECT STATE TRANSFORM,[object Object],INTERACTION,[object Object],Shripadraj Mujumdar [ Prasanna],[object Object],prasannam@yahoo.com,[object Object]
SPACE OBJECT INTERACTION,[object Object],Spaces  and objects can be acted  by external actions. Changes in space composition will result in event being generated, which can be heard  inside or outside the boundary of space.,[object Object],The objects in space can move in multiple directions, The objects can change their constituent elements. Whenever there is  change in objects elements events are raised. Events of objects also can be heard either inside or outside thee boundary of space ,[object Object],External Actions,[object Object],Object,[object Object],External Actions,[object Object],Object,[object Object],External Actions,[object Object]
VECTORS ,[object Object],Object,[object Object],Spaces can have vectors, acting inside in various directions. The direction is also  characterized  as multidimensional in nature . The Vectors can exist loosely in space , in and around objects and at specific points. The exact nature of vector depends on domain  of application. E.g. in Physical Space the vector can be  say Gravitational or Spin,[object Object]
TRANSFORMATION AND BEHAVIOR ,[object Object],Object,[object Object],Object,[object Object],Spinning Object,[object Object],Object,[object Object],The Objects and space can get transformed , under external or internal influences, and the influence also may be created by interactions. The transformation can be related to any of the characteristics ,such as change in dimensions, change in properties etc. The Objects and Spaces as well can show specific behaviors which potentially can be set of repeated transforms. ,[object Object],Object,[object Object]
THE SPACE OBJECT STATE TRANSFORM,[object Object],ARCHITECTURAL CONSIDERATIONS,[object Object]
Spaces and Objects,[object Object],Simple architecture,[object Object],Actors,[object Object],Builders and Controllers,[object Object],Persistence,[object Object],[ if needed],[object Object],UI,[object Object]
Distributed architecture,[object Object],Load,[object Object],Balanced,[object Object],Services,[object Object],Actors,[object Object],Service,[object Object],Endpoint,[object Object],UI,[object Object],Presentation,[object Object],Service,[object Object]
Distributed architecture with devices,[object Object],Space,[object Object],Actors,[object Object],Load,[object Object],Balanced,[object Object],Services,[object Object],Service,[object Object],Endpoint,[object Object],Object Related  code moves to different  execution space , can support device oriented mechanism,[object Object],UI,[object Object],Presentation,[object Object],Service,[object Object]

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Space Object State transform

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  • 3. In modern mathematics spaces are defined as sets with some added structure. They are frequently described as different types of manifolds which are spaces that locally approximate to Euclidean space and where the properties are defined largely on local connectedness of points that lie on the manifold. There are however, many diverse mathematical objects that are called spaces. For example, function spaces in general have no close relation to Euclidean space.
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