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MERLOT II






    

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Materials 1 - 10 shown of 23 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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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: Apr 02, 2015
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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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Ackermann Functions and Transfinite Ordinals

An important part of Cantor's set theory, which forms the foundations of mathematics, is the concept of transfinite ordinals.... see more
Material Type: Reference Material
Author: Kannan Nambiar
Date Added: Jun 15, 2008 Date Modified: Jun 28, 2012
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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: Apr 02, 2015
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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: Apr 02, 2015
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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: Apr 02, 2015
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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: Apr 02, 2015
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Very good quality; in queue to be peer reviewed
avg: 5 rating

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