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…. The space by itself represents layered structure in term of inner space, micro inner space as well as set of outer spaces lik...e 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. 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.

1. THE SPACE OBJECT STATE TRANSFORM Framework to realize spacesand objects . To define and perform transforms, behaviors actions SHRIPADRAJ MUJUMDAR [ PRASANNA] prasannam@yahoo.com

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.

4. 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] prasannam@yahoo.com

5. Overview 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. 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. Shripadraj Mujumdar [ Prasanna] prasannam@yahoo.com

6. Framework Concept 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…. The Framework being discussed here , allows you to create various types of spaces of complex nature as we saw It allows both mathematical and virtual model The Mathematical model is useful for statistical, scientific, engineering applications The Virtual Model is useful for representing data across non numeric dimensions, like we do in data warehousing The Hybrid Model- you can mix both models to create your own complex domain representation as domain space Shripadraj Mujumdar [ Prasanna] prasannam@yahoo.com

7. Framework Concept 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. You can add objects to spaces. Object by itself holds space inside it and in fact represent a bound space. The objects have set of properties, behaviors, constraints ,transforms, abilities, tendencies Objects may have Vectors, operating within them, on them The Objects and Spaces are connected to each other through references and events Shripadraj Mujumdar [ Prasanna] prasannam@yahoo.com

8. Framework Use and Benefits Shripadraj Mujumdar [ Prasanna] prasannam@yahoo.com

9. THE SPACE OBJECT STATE TRANSFORM SPACE Shripadraj Mujumdar [ Prasanna] prasannam@yahoo.com

10. DEFINITION OF SPACE Supported Possible Typical Space 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.

11. OBJECT CONTAINMENT IN TYPICAL SPACE 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.

12. SPACER OBJECT MODEL Abstract Generic Numerical Virtual Layer Numerical, varieties Domain Customized Virtual Layer 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

13. SPACE COMPOSITION Space is composed of various constituent objects as shown in diagram

14. POINTS SPACE DIMENSIONS DIMENSIONAL COORDINATES 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

15. THE SPACE OBJECT STATE TRANSFORM OBJECTS

16. OBJECTS MODEL The Space can hold Objects, The Objects can be of different types

17. OBJECT COMPOSITION The Object is composed of constituent elements as shown in diagram.

18. THE SPACE OBJECT STATE TRANSFORM INTERACTION Shripadraj Mujumdar [ Prasanna] prasannam@yahoo.com

19. SPACE OBJECT INTERACTION 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. 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 External Actions Object External Actions Object External Actions

20. VECTORS 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

21. TRANSFORMATION AND BEHAVIOR Object Object Spinning 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

22. THE SPACE OBJECT STATE TRANSFORM ARCHITECTURAL CONSIDERATIONS

23. Spaces and Objects Simple architecture Actors Builders and Controllers Persistence [ if needed] UI

24. Distributed architecture Load Balanced Services Actors Service Endpoint UI Presentation Service

25. Distributed architecture with devices Space Actors Load Balanced Services Service Endpoint Object Related code moves to different execution space , can support device oriented mechanism UI Presentation Service

26. Distributed architecture with devices Space Access mechanisms The Device can carry copy of space if its relatively static Carry GUID of space, and access the details through service Service

27. Thanks!