Search Materials

Sort materials by

Search Materials

Return to What's new in MERLOT

Get more information on the MERLOT Editors' Choice Award in a new window.

Get more information on the MERLOT Classics Award in a new window.

Get more information on the JOLT Award in a new window.

Go to Search Page

View material results for all categories

Search all MERLOT

Click here to go to your profile

Click to expand login or register menu

Select to go to your workspace

Click here to go to your Dashboard Report

Click here to go to your Content Builder

Click here to log out

Search Terms

Enter username

Enter password

Please give at least one keyword of at least three characters for the search to work with. The more keywords you give, the better the search will work for you.

select OK to launch help window

cancel help

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 MaterialAuthor: Kannan Nambiar

Date Added: Nov 07, 2001 Date Modified: Nov 16, 2009

Peer Review for material titled "Arrow's Paradox and the Fractional Voting System"

User Rating for material titled "Arrow's Paradox and the Fractional Voting System"

Member Comments for material titled "Arrow's Paradox and the Fractional Voting System"

Learning Exercises for material titled "Arrow's Paradox and the Fractional Voting System"

Personal Collections for material titled "Arrow's Paradox and the Fractional Voting System"

Accessibility Info for material titled "Arrow's Paradox and the Fractional Voting System"

About this material:

Editor Review
(not reviewed)

User Rating (not rated)

Discussion (none)

Personal Collections (2)

Learning Exercises (none)

Accessibility Info (none)

User Rating (not rated)

Discussion (none)

Personal Collections (2)

Learning Exercises (none)

Accessibility Info (none)

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 MaterialAuthor: Kannan Nambiar

Date Added: Jun 26, 2001 Date Modified: May 21, 2008

Peer Review for material titled "White Hole, Black Whole, and The Book"

User Rating for material titled "White Hole, Black Whole, and The Book"

Member Comments for material titled "White Hole, Black Whole, and The Book"

Learning Exercises for material titled "White Hole, Black Whole, and The Book"

Personal Collections for material titled "White Hole, Black Whole, and The Book"

Accessibility Info for material titled "White Hole, Black Whole, and The Book"

About this material:

Editor Review
avg:

User Rating

Discussion (1 Comment)

Personal Collections (1)

Learning Exercises (none)

Accessibility Info (none)

User Rating

Discussion (1 Comment)

Personal Collections (1)

Learning Exercises (none)

Accessibility Info (none)

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 MaterialAuthor: Kannan Nambiar

Date Added: May 19, 2009 Date Modified: May 19, 2009

Peer Review for material titled "A Set Theory for Scientists and Engineers (youtube video)"

User Rating for material titled "A Set Theory for Scientists and Engineers (youtube video)"

Member Comments for material titled "A Set Theory for Scientists and Engineers (youtube video)"

Learning Exercises for material titled "A Set Theory for Scientists and Engineers (youtube video)"

Personal Collections for material titled "A Set Theory for Scientists and Engineers (youtube video)"

Accessibility Info for material titled "A Set Theory for Scientists and Engineers (youtube video)"

About this material:

Editor Review
avg:

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

A definition of information, which forms the basis of the current information technology, is given in terms of two axioms.

Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Nov 08, 2001 Date Modified: Dec 20, 2005

Peer Review for material titled "An Axiomatic Definition of Shannon's Entropy"

User Rating for material titled "An Axiomatic Definition of Shannon's Entropy"

Member Comments for material titled "An Axiomatic Definition of Shannon's Entropy"

Learning Exercises for material titled "An Axiomatic Definition of Shannon's Entropy"

Personal Collections for material titled "An Axiomatic Definition of Shannon's Entropy"

Accessibility Info for material titled "An Axiomatic Definition of Shannon's Entropy"

About this material:

Editor Review
(not reviewed)

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

The two axioms which define intuitive set theory, Axiom of Combinatorial Sets and Axiom of Infinitesimals, are stated....
see more

Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Nov 03, 2001 Date Modified: Aug 02, 2007

Peer Review for material titled "Definition of Intuitive Set Theory"

User Rating for material titled "Definition of Intuitive Set Theory"

Member Comments for material titled "Definition of Intuitive Set Theory"

Learning Exercises for material titled "Definition of Intuitive Set Theory"

Personal Collections for material titled "Definition of Intuitive Set Theory"

Accessibility Info for material titled "Definition of Intuitive Set Theory"

About this material:

Editor Review
avg:

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

Continuum Hypothesis is derived from an axiom called Axiom of Combinatorial Sets. The derivation is simple enough to be...
see more

Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Dec 02, 2003 Date Modified: Dec 19, 2005

Peer Review for material titled "Derivation of Continuum Hypothesis from Axiom of Combinatorial Sets"

User Rating for material titled "Derivation of Continuum Hypothesis from Axiom of Combinatorial Sets"

Member Comments for material titled "Derivation of Continuum Hypothesis from Axiom of Combinatorial Sets"

Learning Exercises for material titled "Derivation of Continuum Hypothesis from Axiom of Combinatorial Sets"

Personal Collections for material titled "Derivation of Continuum Hypothesis from Axiom of Combinatorial Sets"

Accessibility Info for material titled "Derivation of Continuum Hypothesis from Axiom of Combinatorial Sets"

About this material:

Editor Review
avg:

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

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 MaterialAuthor: Kannan Nambiar

Date Added: May 16, 2009 Date Modified: May 17, 2009

Peer Review for material titled "Eight Wonders of the Mathematical World (youtube video)"

User Rating for material titled "Eight Wonders of the Mathematical World (youtube video)"

Member Comments for material titled "Eight Wonders of the Mathematical World (youtube video)"

Learning Exercises for material titled "Eight Wonders of the Mathematical World (youtube video)"

Personal Collections for material titled "Eight Wonders of the Mathematical World (youtube video)"

Accessibility Info for material titled "Eight Wonders of the Mathematical World (youtube video)"

About this material:

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

Riemann Hypothesis is viewed as a statement about the power dissipated in an electrical network.

Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Aug 11, 2003 Date Modified: Dec 19, 2005

Peer Review for material titled "Electrical Equivalent of Riemann Hypothesis"

User Rating for material titled "Electrical Equivalent of Riemann Hypothesis"

Member Comments for material titled "Electrical Equivalent of Riemann Hypothesis"

Learning Exercises for material titled "Electrical Equivalent of Riemann Hypothesis"

Personal Collections for material titled "Electrical Equivalent of Riemann Hypothesis"

Accessibility Info for material titled "Electrical Equivalent of Riemann Hypothesis"

About this material:

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

Axiom of Combinatorial Sets is defined and used to derive Generalized Continuum Hypothesis.

Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Apr 07, 2002 Date Modified: Dec 20, 2005

Peer Review for material titled "Generalized Continuum Hypothesis and the Axiom of Combinatorial Sets"

User Rating for material titled "Generalized Continuum Hypothesis and the Axiom of Combinatorial Sets"

Member Comments for material titled "Generalized Continuum Hypothesis and the Axiom of Combinatorial Sets"

Learning Exercises for material titled "Generalized Continuum Hypothesis and the Axiom of Combinatorial Sets"

Personal Collections for material titled "Generalized Continuum Hypothesis and the Axiom of Combinatorial Sets"

Accessibility Info for material titled "Generalized Continuum Hypothesis and the Axiom of Combinatorial Sets"

About this material:

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)

Five geometrical eqivalents of Goldbach conjecture are given, calling one of them Fermat Like Theorem.

Material Type:
Reference MaterialAuthor: Kannan Nambiar

Date Added: Nov 04, 2002 Date Modified: Dec 19, 2005

Peer Review for material titled "Geometrical Equivalents of Goldbach Conjecture and Fermat Like Theorem"

User Rating for material titled "Geometrical Equivalents of Goldbach Conjecture and Fermat Like Theorem"

Member Comments for material titled "Geometrical Equivalents of Goldbach Conjecture and Fermat Like Theorem"

Learning Exercises for material titled "Geometrical Equivalents of Goldbach Conjecture and Fermat Like Theorem"

Personal Collections for material titled "Geometrical Equivalents of Goldbach Conjecture and Fermat Like Theorem"

Accessibility Info for material titled "Geometrical Equivalents of Goldbach Conjecture and Fermat Like Theorem"

About this material:

User Rating (not rated)

Discussion (none)

Personal Collections (none)

Learning Exercises (none)

Accessibility Info (none)