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September | 2008 | Mathematical Blog

https://mth487f08dasilva.wordpress.com/2008/09

124; Comments RSS. Tower of Hanoi and Gray Codes. Posted on September 30, 2008. By Chris Da Silva. The downside to Gray Codes is without a visual, you can’t really write up the code frame. It’s easiest to use when you can see where you are moving each disk. Last week, we discussed the ToH game with 4 and 5 pegs. Playing the game through the first couple of disks we reached the following:. N disks…. # of moves. 8230;2………….3. 8230;3………… 5. 8230;4………… 9. 124; Leave a comment. Posted on September 12, 2008.

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October | 2008 | Mathematical Blog

https://mth487f08dasilva.wordpress.com/2008/10

124; Comments RSS. Posted on October 9, 2008. By Chris Da Silva. In class on Tuesday, we discussed self-avoiding walks. Professor Davis wrote up the following code using Mathematica:. Randomwalk = { 0, 0} ;. P = RandomInteger[{1, 4}];. If[p = 1, {1, 0},. If [p = 2, {-1, 0},. If [p = 3, {0, 1}, If [p = 4, {0, -1}, {0, 0}] ] ;. Randomwalk = Append[randomwalk, {x, y}], {n, 1, 5000}]. ListPlot[randomwalk, Joined - True]. This code gave us the following graph:. 124; Leave a comment. Posted on October 1, 2008.

3

Walk This Way | Mathematical Blog

https://mth487f08dasilva.wordpress.com/2008/10/09/walk-this-way

124; Comments RSS. Posted on October 9, 2008. By Chris Da Silva. In class on Tuesday, we discussed self-avoiding walks. Professor Davis wrote up the following code using Mathematica:. Randomwalk = { 0, 0} ;. P = RandomInteger[{1, 4}];. If[p = 1, {1, 0},. If [p = 2, {-1, 0},. If [p = 3, {0, 1}, If [p = 4, {0, -1}, {0, 0}] ] ;. Randomwalk = Append[randomwalk, {x, y}], {n, 1, 5000}]. ListPlot[randomwalk, Joined - True]. This code gave us the following graph:. Laquo; ToH Discovery? Leave a Reply Cancel reply.

4

Tower of Hanoi, Pascal’s Triangle, Sierpinski | Mathematical Blog

https://mth487f08dasilva.wordpress.com/2008/09/12/tower-of-hanoi-pascals-triangle-sierpinski

124; Comments RSS. Tower of Hanoi, Pascal’s Triangle, Sierpinski. Posted on September 12, 2008. By Chris Da Silva. In class we discussed the game, the Tower of Hanoi. It’s a fairly simple game to play. There are three pegs (usually), with different sized disks on one peg. The object of the game is to move all the disks from one peg to another, one disk at a time, and a larger disk cannot be put on a smaller one. And the moves made by three disks represented by. Pascal’s, Sierpinski, ToH. You are commenti...

5

Collatz Complex Function | Mathematical Blog

https://mth487f08dasilva.wordpress.com/2008/09/03/collatz-complex-function

124; Comments RSS. Posted on September 3, 2008. By Chris Da Silva. Yesterday in class, while looking at this graph:. I realized that it follows a retrograde motion, much like the planet Mars appears to make in correlation to Earth. Tower of Hanoi, Pascal’s Triangle, Sierpinski. Leave a Reply Cancel reply. Enter your comment here. Please log in using one of these methods to post your comment:. Address never made public). You are commenting using your WordPress.com account. ( Log Out.

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2. Energy of graphs | Mathematical Inquiry

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MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. 2 Energy of graphs. The chemical models of. Of hydrocarbons led Ivan Gutman ( 1978: The energy of a graph, Ber. Math.-Statist. Sekt. Forschungszentrum Graz., Journal, Vol 103,1-22. To define the energy. Of a simple undirected graph.

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Mathematica® code for generating planar random walks with memory | Mathematical Inquiry

https://mth487f08.wordpress.com/2008/10/14/mathematica-code-for-generating-planar-random-walks-with-memory

MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Tower of Hanoi graphs. Random walks with memory on a square lattice →. Mathematica code for generating planar random walks with memory. October 14, 2008. Comments Off on Mathematica code for generating planar random walks with memory.

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Mathematical Inquiry

https://mth487f08.wordpress.com/instructor

MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. The instructor for MTH 487, Mathematical Inquiry, Fall 2008 is Dr. Gary Davis, Professor of Mathematics, University of Massachusetts Dartmouth. Office: Room 394 E, Liberal Arts Building. I was born and raised in Melbourne.

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• Tower of Hanoi graphs | Mathematical Inquiry

https://mth487f08.wordpress.com/2008/09/08/•-tower-of-hanoi-graphs

MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Mathematica code for generating planar random walks with memory →. Tower of Hanoi graphs. September 8, 2008. Comments Off on Tower of Hanoi graphs. Tuesday September 9 we will be looking at the Tower of Hanoi problem in some depth.

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Andrew Perry’s conjecture | Mathematical Inquiry

https://mth487f08.wordpress.com/3-the-tower-of-hanoi/andrew-perrys-conjectur

MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Andrew Perry’s conjecture. In examining the Tower of Hanoi problem with 4 pegs, Andrew Perry came up with a conjecture that for. Is not too large – for example,. 8211; the minimal number of moves required to move all. If we place all the.

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6. Pattern formation in growing sandpiles | Mathematical Inquiry

https://mth487f08.wordpress.com/6-pattern-formation-in-growing-sandpiles

MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. 6 Pattern formation in growing sandpiles. Pattern formation in growing sandpiles. The aim of this project is to consider and extend Dhar. 8216;s findings for other lattices, in particular for the triangular lattice:. Deepak Dhar (1999) S...

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Trapping for random walks of memory 8 | Mathematical Inquiry

https://mth487f08.wordpress.com/2008/11/05/trapping-for-random-walks-of-memory-8

MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Matlab code for random walk with memory 8 (Adam Callahan). Outline of Sigma Xi presentation →. Trapping for random walks of memory 8. November 5, 2008. Comments Off on Trapping for random walks of memory 8. U for a transition from point.

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3. The Tower of Hanoi, with 3 or more pegs | Mathematical Inquiry

https://mth487f08.wordpress.com/3-the-tower-of-hanoi

MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. 3 The Tower of Hanoi, with 3 or more pegs. The usual Tower of Hanoi problem is to move a number of disks, from one peg to another in the smallest number of moves:. The rules for the Tower of Hanoi game are these:. Our second task is to i...

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Outline of Sigma Xi presentation | Mathematical Inquiry

https://mth487f08.wordpress.com/2008/12/02/outline-of-sigma-xi-presentation

MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Trapping for random walks of memory 8. Outline of Sigma Xi presentation. December 2, 2008. Comments Off on Outline of Sigma Xi presentation. Sigma xi 2009 random walks with memory. This entry was posted in Uncategorized.

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Random walks with memory on a square lattice | Mathematical Inquiry

https://mth487f08.wordpress.com/2008/10/28/random-walks-with-memory-on-a-square-lattice

MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. Mathematica code for generating planar random walks with memory. Matlab code for random walk with memory 8 (Adam Callahan) →. Random walks with memory on a square lattice. October 28, 2008. Or their recent history. Has 4 neighbors –.

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Mathematical Inquiry | MTH 487 Fall 2008 University of Massachusetts Dartmouth

MTH 487 Fall 2008 University of Massachusetts Dartmouth. 1 Does 10 have any friends? 2 Energy of graphs. 3 The Tower of Hanoi, with 3 or more pegs. Andrew Perry’s conjecture. The Hanoi Tower group H3. 4 Equidistribution (or not). 6 Pattern formation in growing sandpiles. MTH 487) at the University of Massachusetts Dartmouth will be based around a number of general mathematical topics and unsolved problems. The aim of the course is to give you experience in thinking and working like a mathematician. A dia...

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math inquiry | Just another WordPress.com weblog

Just another WordPress.com weblog. Random walks – ending sequences. November 8, 2008. More code and better results for variable memory random walks. November 6, 2008. The plot is approximately linear with an R squared of 0.9335. Not terribly excellent, but close to Prof. Davis’ results. The next coding problem I will work on is to look at how the distance from the origin varies with the walk length and with the memory size. Here is the (somewhat) revised code:. Function SAW = sawvm2000(m). If nargin = 0.

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Mathematical Blog | Just another WordPress.com weblog

124; Comments RSS. Posted on October 9, 2008. By Chris Da Silva. In class on Tuesday, we discussed self-avoiding walks. Professor Davis wrote up the following code using Mathematica:. Randomwalk = { 0, 0} ;. P = RandomInteger[{1, 4}];. If[p = 1, {1, 0},. If [p = 2, {-1, 0},. If [p = 3, {0, 1}, If [p = 4, {0, -1}, {0, 0}] ] ;. Randomwalk = Append[randomwalk, {x, y}], {n, 1, 5000}]. ListPlot[randomwalk, Joined - True]. This code gave us the following graph:. 124; Leave a comment. Posted on October 1, 2008.

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Order from Disorder | Announcement, Homework and Lectures for MTH 496 001 Spring 2010

April 13, 2010. Homework 4–due April 30. 8212; Tags: percolation. 8212; jhschenker @ 6:28 pm. Here is a pdf with homework #4. The goal in this assignment is to prove some facts about percolation on a binary tree. April 9, 2010. Notes on the critical probabilities. Filed under: Lecture Notes. 8212; Tags: percolation. 8212; jhschenker @ 1:49 pm. Here is the next installment of lecture notes. In which the susceptibility. And critical probabilities (. April 6, 2010. No Class Wednesday April 7. April 2, 2010.

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