By Germano Resconi

ISBN-10: 3642279716

ISBN-13: 9783642279713

The e-book is at the geometry of agent wisdom. the $64000 suggestion studied during this e-book is the sector and its Geometric illustration. To strengthen a geometrical picture of the gravity , Einstein used Tensor Calculus yet this can be very varied from the information tools used now, as for example thoughts of knowledge mining , neural networks , formal proposal research ,quantum machine and different issues. the purpose of this ebook is to rebuild the tensor calculus with the intention to supply a geometrical illustration of agent wisdom. by utilizing a brand new geometry of information we will unify the entire 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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**Example text**

The length of the path between points i and j di , j = ( xi − x j ) 2 + ( yi − y j )2 . 21. Each Ant is a simple agent having the following characteristics: 58 3 1. 2. Geometry and Agent Coherence The Ant chooses a point to reach with a probability that is a function of the distance and of the amount of trail present on the connecting edge; When it completes a tour, it marks the complete traversedsection by a hypothetical substance called here “trail” each edge (i,j) visited. Let τ be the intensity of trail on the edge (i,j) at time t.

The metric tensor G is then G = ST S = ⎡ s11 ⎢− s ⎣ 12 T s12 ⎤ ⎡ s11 s11 ⎥⎦ ⎢⎣ − s12 ⎡1 0 ⎤ ( s112 + s12 2 ) ⎢ ⎥ ⎣0 1 ⎦ s12 ⎤ = s11 ⎥⎦ As shown in the first chapter G is a compensatory term and helps to determine the value of L before and after the transformation S L = P T ST S P which becomes L = QT Q When s11 + s12 = 1 we have L = ρ2 In conclusion the coherent transformation S is the rotation of the point P for which the radius ρ is invariant. 16) is the expression of the coherence existing between the methods used to compute the velocity of the point P and finally the position Q.

Tasks and Actions are defined by the use of other agents to include this particular type of agent. We term them Agents of the Second Order. 3. 4. In a new image we show both the task and the sources by the symbols Sk and Tk. 3 where at any node of the graph the tasks and the sources with the same number are the same entity. Source 1 Source Task 4 Task 2 Action Source Task Source Source Task 3 Task Fig. 2 Network showing the Action between Different sources and the task. For example from the source 1, we can obtain two different actions tasks 2 and the task 4 S1 1 S1 Action T2 2 T1 S2 T4 4 S3 S4 T3 3 T3 Fig.

### Geometry of Knowledge for Intelligent Systems by Germano Resconi

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