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MERLOT II






        

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Materials 1 - 10 shown of 21 results

Arrow's Paradox and the Fractional Voting System

It is shown that Fractional Voting System can be used to circumvent Arrow's paradox. The paradox states that fair elections... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Nov 07, 2001 Date Modified: Nov 16, 2009
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Reviewed by members of Editorial board for inclusion in MERLOT.
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White Hole, Black Whole, and The Book

Intellectual space is defined as the set of all proofs of mathematical logic, contained in The Book of Erdos. Physical and... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jun 26, 2001 Date Modified: May 21, 2008
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About this material:
Reviewed by members of Editorial board for inclusion in MERLOT.
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A Set Theory for Scientists and Engineers (youtube video)

Engineers know that they can land a man on the moon without using the Lebesgue integral and they will never encounter Skolem... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: May 19, 2009 Date Modified: May 19, 2009
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An Axiomatic Definition of Shannon's Entropy

A definition of information, which forms the basis of the current information technology, is given in terms of two axioms.
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Nov 08, 2001 Date Modified: Dec 20, 2005
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Definition of Intuitive Set Theory

The two axioms which define intuitive set theory, Axiom of Combinatorial Sets and Axiom of Infinitesimals, are stated.... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Nov 03, 2001 Date Modified: Aug 02, 2007
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About this material:
Reviewed by members of Editorial board for inclusion in MERLOT.
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Very good quality; in queue to be peer reviewed
avg: 5 rating

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Derivation of Continuum Hypothesis from Axiom of Combinatorial Sets

Continuum Hypothesis is derived from an axiom called Axiom of Combinatorial Sets. The derivation is simple enough to be... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Dec 02, 2003 Date Modified: Dec 19, 2005
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Eight Wonders of the Mathematical World (youtube video)

The biggest mystery for me is that the sequence of symbols we scribble on paper is able to simulate our complex universe.... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: May 16, 2009 Date Modified: May 17, 2009
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Electrical Equivalent of Riemann Hypothesis

Riemann Hypothesis is viewed as a statement about the power dissipated in an electrical network.
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Aug 11, 2003 Date Modified: Dec 19, 2005
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Generalized Continuum Hypothesis and the Axiom of Combinatorial Sets

Axiom of Combinatorial Sets is defined and used to derive Generalized Continuum Hypothesis.
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Apr 07, 2002 Date Modified: Dec 20, 2005
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About this material:
Reviewed by members of Editorial board for inclusion in MERLOT.
Editor Review
Very good quality; in queue to be peer reviewed
avg: 5 rating

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Geometrical Equivalents of Goldbach Conjecture and Fermat Like Theorem

Five geometrical eqivalents of Goldbach conjecture are given, calling one of them Fermat Like Theorem.
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Nov 04, 2002 Date Modified: Dec 19, 2005
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