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The Garden of Knowledge as a Knowledge Manifold  A Conceptual Framework for Computer Supported Subjective Education
 CID17, TRITANAD9708, DEPARTMENT OF NUMERICAL ANALYSIS AND COMPUTING SCIENCE
, 1997
"... This work presents a unied patternbased epistemological framework, called a Knowledge Manifold, for the description and extraction of knowledge from information. Within this framework it also presents the metaphor of the Garden Of Knowledge as a constructive example. Any type of KM is defined in te ..."
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Cited by 22 (14 self)
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This work presents a unied patternbased epistemological framework, called a Knowledge Manifold, for the description and extraction of knowledge from information. Within this framework it also presents the metaphor of the Garden Of Knowledge as a constructive example. Any type of KM is defined in terms of its objective calibration protocols  procedures that are implemented on top of the participating subjective knowledgepatches. They are the procedures of agreement and obedience that characterize the coherence of any type of interaction, and which are used here in order to formalize the concept of participator consciousness in terms of the inversedirect limit duality of Category Theory.
Hyperbolic geometry
 In Flavors of geometry
, 1997
"... 3. Why Call it Hyperbolic Geometry? 63 4. Understanding the OneDimensional Case 65 ..."
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Cited by 11 (0 self)
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3. Why Call it Hyperbolic Geometry? 63 4. Understanding the OneDimensional Case 65
Fundamental Physical Constants and the Principle of Parametric Incompleteness
, 1999
"... The principle which allows to construct new physical theories on the basis of classical mechanics by reduction of the number of its axiom without engaging new postulates is formulated. The arising incompleteness of theory manifests itself in terms of theoretically undefinable fundamental physical co ..."
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Cited by 3 (0 self)
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The principle which allows to construct new physical theories on the basis of classical mechanics by reduction of the number of its axiom without engaging new postulates is formulated. The arising incompleteness of theory manifests itself in terms of theoretically undefinable fundamental physical constants ¯h and c. As an example we built up a parametric generalization of relativistic theory, where the Hubble Law and the dependence of light velocity on time are obtained. 1
Topological Wavelength Shifts (Electromagnetic Field in . . .
, 2003
"... It is shown that in hyperbolic spaces, an electromagnetic radiation experiences shifts in spectrum as a function of curvature and distance. The equation relating distance in hyperbolic space, its curvature, and spectral shift is derived by method of horospheres. The active nature of the Lobachevskia ..."
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It is shown that in hyperbolic spaces, an electromagnetic radiation experiences shifts in spectrum as a function of curvature and distance. The equation relating distance in hyperbolic space, its curvature, and spectral shift is derived by method of horospheres. The active nature of the Lobachevskian vacuum is discussed with
Generalized Descriptive Geometry
 JOURNAL FOR GEOMETRY AND GRAPHICS
, 2002
"... Generalized Descriptive Geometry (GDG) denotes all techniques of imaging abstract objects and their relations, which are constructive in the same sense as the methods of classical descriptive geometry, i.e., there have to be algorithms concerning the abstract objects (may be decision processes) so t ..."
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Generalized Descriptive Geometry (GDG) denotes all techniques of imaging abstract objects and their relations, which are constructive in the same sense as the methods of classical descriptive geometry, i.e., there have to be algorithms concerning the abstract objects (may be decision processes) so that there objects. Hence GDG is more than mere visualization though the borderlines sometimes are fuzzy. The paper presents an outline of standard methods. Some of them are very old and were originally developed outside mathematics.
Schrödinger’s cat versus Darwin
, 903
"... Sun Wuk’ung, an immortal MonkeyKing of Chaos learns modern physics from the Patriarch Bodhi and questions the Darwinian evolution. He finds that the modern physics indicates towards the intelligent design as a vastly more probably origin of humans than the random evolution by mutations and natural ..."
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Sun Wuk’ung, an immortal MonkeyKing of Chaos learns modern physics from the Patriarch Bodhi and questions the Darwinian evolution. He finds that the modern physics indicates towards the intelligent design as a vastly more probably origin of humans than the random evolution by mutations and natural selection. �� � ����� I do not know, the Earth turns or not, This depends how the words will fit the line. I do not know, whether my grandmother and grandfather were Monkeys, since I don’t know do I want sweet or sour. But I do know that I want to boil and I want the Sun And the vein of my hand to be connected by the common trembling. But I do want the ray of the star to kiss the ray of my eye, As deer to deer (oh, their excellent eyes!). But I want when I quiver the general trembling of the universe to join my trembling. And I want to believe that there is something which remains, When the braid of the dear girl is faided away, for example, by the time. I want to take out of brackets the common factor, which connects me, the Sun, pearl dust, and the sky. Velimir Khlebnikov, 1909. 2 2
unknown title
, 2006
"... Nonintegrability of the twobody problem in constant curvature spaces ∗ ..."
unknown title
, 2006
"... Nonintegrability of the twobody problem in constant curvature spaces ∗ ..."
unknown title
, 2006
"... Nonintegrability of the twobody problem in constant curvature spaces ..."