By Germano Resconi

The ebook is at the geometry of agent wisdom. the $64000 suggestion studied during this e-book is the sector and its Geometric illustration. To enhance a geometrical photograph of the gravity , Einstein used Tensor Calculus yet this is often very diverse from the information tools used now, as for example innovations of knowledge mining , neural networks , formal proposal research ,quantum laptop and different themes. the purpose of this publication is to rebuild the tensor calculus so that it will supply a geometrical illustration of agent wisdom. by utilizing a brand new geometry of information we will be able to unify all of the subject matters which were studied in recent times to create a bridge among the geometric illustration of the actual phenomena and the geometric illustration of the person and subjective wisdom of the brokers.

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X2 P ρ dx1 dt v dx2 dt θ x1 Fig. 19 Movement of the point P in the space x1 and x2. We know locally, the components of the velocity of the point P but globally we have no idea of the form the trajectory in which the point P will move. 17) So for any point having the form of a “circle”, the Lie derivative is zero. In this particular case the square of the radius y of the circle is invariant on the circle. 18) dρ2 dt this show us the difference between the form of an “ellipse “ with respect to the form of a “circle”.

11 we always have an important symmetry for the same node. There is only one source which can be used in the different actions. For example in the node 2 the source S2 is repeated twice, One task is to obtain the task T1 and the other task is to obtain task T3. We can say that the transformation of the second order agent is a different allocation of tasks and sources using the same graph of actions. 12. Fig. 12 The Ordering of the sources and tasks using the transformation of the Second Order Agents obtained by use of the operators P and Q.

Hoffman, we obtain a deeper meaning than that found in our previous consideration. He argues about the methods used to process the forms. In particular on how we are able to process visual stimuli at the local level related to global phenomena which is presented on the macroscopic perceptual scale. 3 Transformations in Which the General Quadratic Form Is Invariant 51 How are the line elements detected at the single cell level integrated into the visual figure? In the first instance visual contours are formed by using the vector fields of the cortical visual manifold V.