Ebook: Geometry of Knowledge for Intelligent Systems

The book is on the geometry of agent knowledge. The important concept studied in this book is the Field and its Geometric Representation. To develop a geometric image of the gravity , Einstein used Tensor Calculus but this is very different from the knowledge instruments used now, as for instance techniques of data mining , neural networks , formal concept analysis ,quantum computer and other topics. The aim of this book is to rebuild the tensor calculus in order to give a geometric representation of agent knowledge. By using a new geometry of knowledge we can unify all the topics that have been studied in recent years to create a bridge between the geometric representation of the physical phenomena and the geometric representation of the individual and subjective knowledge of the agents.

---

The book is on the geometry of agent knowledge. The important concept studied in this book is the Field and its Geometric Representation. To develop a geometric image of the gravity , Einstein used Tensor Calculus but this is very different from the knowledge instruments used now, as for instance techniques of data mining , neural networks , formal concept analysis ,quantum computer and other topics. The aim of this book is to rebuild the tensor calculus in order to give a geometric representation of agent knowledge. By using a new geometry of knowledge we can unify all the topics that have been studied in recent years to create a bridge between the geometric representation of the physical phenomena and the geometric representation of the individual and subjective knowledge of the agents.

---

The book is on the geometry of agent knowledge. The important concept studied in this book is the Field and its Geometric Representation. To develop a geometric image of the gravity , Einstein used Tensor Calculus but this is very different from the knowledge instruments used now, as for instance techniques of data mining , neural networks , formal concept analysis ,quantum computer and other topics. The aim of this book is to rebuild the tensor calculus in order to give a geometric representation of agent knowledge. By using a new geometry of knowledge we can unify all the topics that have been studied in recent years to create a bridge between the geometric representation of the physical phenomena and the geometric representation of the individual and subjective knowledge of the agents.
Content:
Front Matter....Pages 1-7
An Introduction to the Geometry of Agent Knowledge....Pages 1-3
Tensor Calculus and Formal Concepts....Pages 5-29
Geometry and Agent Coherence....Pages 31-60
Field Theory for Knowledge....Pages 61-105
Brain Neurodynamic and Tensor Calculus....Pages 107-158
Electrical Circuit as Constrain in the Multidimensional Space of the Voltages or Currents....Pages 159-206
Superposition and Geometry for Evidence and Quantum Mechanics in the Tensor Calculus....Pages 207-228
The Logic of Uncertainty and Geometry of the Worlds....Pages 229-279

---

The book is on the geometry of agent knowledge. The important concept studied in this book is the Field and its Geometric Representation. To develop a geometric image of the gravity , Einstein used Tensor Calculus but this is very different from the knowledge instruments used now, as for instance techniques of data mining , neural networks , formal concept analysis ,quantum computer and other topics. The aim of this book is to rebuild the tensor calculus in order to give a geometric representation of agent knowledge. By using a new geometry of knowledge we can unify all the topics that have been studied in recent years to create a bridge between the geometric representation of the physical phenomena and the geometric representation of the individual and subjective knowledge of the agents.
Content:
Front Matter....Pages 1-7
An Introduction to the Geometry of Agent Knowledge....Pages 1-3
Tensor Calculus and Formal Concepts....Pages 5-29
Geometry and Agent Coherence....Pages 31-60
Field Theory for Knowledge....Pages 61-105
Brain Neurodynamic and Tensor Calculus....Pages 107-158
Electrical Circuit as Constrain in the Multidimensional Space of the Voltages or Currents....Pages 159-206
Superposition and Geometry for Evidence and Quantum Mechanics in the Tensor Calculus....Pages 207-228
The Logic of Uncertainty and Geometry of the Worlds....Pages 229-279
....