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A simple and short proof of Dictator Theorem is given. Loosely stated, the theorem says that democracies are not possible,...
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Material Type:
Simulation
Author:
Kannan Nambiar

Date Added:
Nov 08, 2001
Date Modified:
Jun 28, 2012
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Select this link to add material A Graph-Theoretic Proof of Arrow's Dictator Theorem to Bookmark material or Course ePortfolio

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It is shown that Fractional Voting System can be used to circumvent Arrow's paradox. The paradox states that fair elections...
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Material Type:
Reference Material
Author:
Kannan Nambiar

Date Added:
Nov 07, 2001
Date Modified:
Nov 16, 2009
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Select this link to add material Arrow's Paradox and the Fractional Voting System to Bookmark material or Course ePortfolio

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NuMachine, as powerful as Turing machine, but more intuitive in its working is described. Adding three more derivation rules...
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Material Type:
Tutorial
Author:
Kannan Nambiar

Date Added:
Jun 13, 2001
Date Modified:
Apr 02, 2015
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Select this link to add material Foundations of Computer Science to Bookmark material or Course ePortfolio

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Intellectual space is defined as the set of all proofs of mathematical logic, contained in The Book of Erdos. Physical and...
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Material Type:
Reference Material
Author:
Kannan Nambiar

Date Added:
Jun 26, 2001
Date Modified:
Jul 21, 2017
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Select this link to add material White Hole, Black Whole, and The Book to Bookmark material or Course ePortfolio

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Engineers know that they can land a man on the moon without using the Lebesgue integral and they will never encounter Skolem...
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Material Type:
Reference Material
Author:
Kannan Nambiar

Date Added:
May 19, 2009
Date Modified:
Aug 30, 2017
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Select this link to add material A Set Theory for Scientists and Engineers (youtube video) to Bookmark material or Course ePortfolio

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An important part of Cantor's set theory, which forms the foundations of mathematics, is the concept of transfinite ordinals....
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Material Type:
Reference Material
Author:
Kannan Nambiar

Date Added:
Jun 15, 2008
Date Modified:
Jun 28, 2012
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Select this link to add material Ackermann Functions and Transfinite Ordinals to Bookmark material or Course ePortfolio

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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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Select this link to add material An Axiomatic Definition of Shannon's Entropy to Bookmark material or Course ePortfolio

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An author's Snapshot for Arrow's Paradox and the Fractional Voting System for the material found in MERLOT at...
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Material Type:
ePortfolio
Author:
Kannan Nambiar

Date Added:
Aug 11, 2011
Date Modified:
Nov 04, 2015
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The two axioms which define intuitive set theory, Axiom of Combinatorial Sets and Axiom of Infinitesimals, are stated....
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Material Type:
Reference Material
Author:
Kannan Nambiar

Date Added:
Nov 03, 2001
Date Modified:
Apr 02, 2015
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Select this link to add material Definition of Intuitive Set Theory to Bookmark material or Course ePortfolio

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Very good quality; in queue to be peer reviewed

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An author's Snapshot for Definition of Intuitive Set Theory material found in MERLOT at...
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Material Type:
ePortfolio
Author:
Kannan Nambiar

Date Added:
Aug 11, 2011
Date Modified:
Nov 04, 2015
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