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Materials 1 - 10 shown of 36 results

A Graph-Theoretic Proof of Arrow's Dictator Theorem

A simple and short proof of Dictator Theorem is given. Loosely stated, the theorem says that democracies are not possible,... see more
Material Type: Simulation
Author: Kannan Nambiar
Date Added: Nov 08, 2001 Date Modified: Jun 28, 2012
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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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Foundations of Computer Science

NuMachine, as powerful as Turing machine, but more intuitive in its working is described. Adding three more derivation rules... see more
Material Type: Tutorial
Author: Kannan Nambiar
Date Added: Jun 13, 2001 Date Modified: May 23, 2008
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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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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: Dec 20, 2005
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Arrow's Paradox and the Fractional Voting System: A Snapshot

An author's Snapshot for Arrow's Paradox and the Fractional Voting System for the material found in MERLOT at... see more
Material Type: ePortfolio
Author: Kannan Nambiar
Date Added: Aug 11, 2011 Date Modified: Aug 11, 2011
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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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Very good quality; in queue to be peer reviewed
avg: 5 rating

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Definition of Intuitive Set Theory: A Snapshot

An author's Snapshot for Definition of Intuitive Set Theory material found in MERLOT at... see more
Material Type: ePortfolio
Author: Kannan Nambiar
Date Added: Aug 11, 2011 Date Modified: Aug 11, 2011
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