D4MATHS
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PERSONAL MATERIAL
DIVISION BY ZERO IS PAYDIRT
The
RSA Security Challenge  
asks you to try factorise numbers for money. Over $500000 is on offer.
You can attempt this by running various factorisation programs. Look
at the NFSNET website to see just how
much work is going onto this problem. Some 'kitchen table' methods
can be found in factor.txt. and the source
scripts are in rsac.d4f . To run these scripts
download rna.exe (windows) or math2549.tgz (linux)and run your
chosen script. From a command prompt type the following.
d4x test.afn
ld script
ld rsac
rsac
The simplest method involves random guessing. A lucky guess will give
an immediate factorisation. The odds of doing this are less far less than
your chance of being struck by a meteorite in the next ten seconds.
Once you have got your factorisations contact RSA Security via their
website for details on
submission.
To read more about how this can be done see my diary.
INTERNET EXPLORER and WINDOWS USERS
You may download mathematics software here. Load the file into
a new directory and run it. For details of use see
install.htm
Recent developments: Linear cellular Automata, and health and nutrition
data. Download DNA.EXE to a new folder, and then run it.
You will see a scrolling dna molecule. Press CTRL-C when you are bored
and you will see some pull down menus. From these you can access the
documentation. There is also the full text of the General Public Licence
(GPL)
You can download the latest source code and documentation
on Windows/Linux compatability and other features. For that matter the file
RNA.EXEis almost the same as DNA.EXE, except that there
is mouse support, and the application runs a common linux/windows script.
- Generate .xbm images from geometric curves
- Generate .xbm files from text
- Slideshow of all the images on your computer
To find all the images select 'Shell' from the pull down menus.
Type the following after the $ prompt.
ld script
ld refresh
server -go -shuffle -size 6000 -b / -delay 12 *.xbm *.gif *.jpg
LINUX USERS
New! ... Download maths software
The most recent version of math2545, is now math2549. C-source code, scripts
and documentation are in math2548.tgz. Fonts and a recent d4x binary
are in etc.tgz.
- math2549.tgz
- etc.tgz
- recent binary (sept 2006)
DOCUMENTATION FILES
JAVASCRIPT STUFF
Javascript is a prgramming language incorporated into most web browser
software. These slide shows are tutorial material.
COMPUTER USE SURVEY
This part is under construction.
CHINESE VIEWER FOR DOS
Download the files from the newsgroup alt.chinese.text.hz and read these
files with a DOS machine. A boot disk image is provided. The reader is
in the form of a self extracting program containg 16x16 and 24x24 fonts.
Introduction to Life
Conway's Cellular Automata Game
http://www.radicaleye.com/lifepage
This site contains many links. CAs are now getting onto the maths syllabus in
many schools and colleges. Various people think that CAs can provide the
theory of everything. Although early simulations were practiced on a Go board
it is very hard to design a CA to play Go. The 19x19 Go board became obsolete
for tracking life generations once people could more easily use computers.
Much modern research has been on positions where even a 1024x1024 high
resolution display is no longer adequate to display the interesting areas.
GOOGLEBOT SEARCH ENGINE
Observations concerningThree Cats
DON VALLEY VETINARY SUPPLIES
1 0 0 2 10 4 40 92 352 724 ...
This integer sequence comes from the number of ways of placing N
mutually non-attacking queens on an NxN chessboard. You can see a the
source code of a C program which generates the solutions. Durango Bill's
website contains a good description of the problem and tables of values.
- nqueens.c source code
- Durango Bill's The N-Queens Problem
COUNTDOWN
Countdown is a popular TV program in the UK where contestants solve various
puzzles including anagrams, longest word from letters and arithmetic
problems. The arithmetic problems take the form of six numbers selected
at random from the set 1 2 3 4 5 6 7 10 15 25 50 75 and a terget number
between 100 and 999. The object is to combine the six numbers using the
four basic arithmetic operations + (plus), - (subtract), * (times) and
% (divide), and produce the target number. In the TV program the
competitors generally go for the closest number they can find in the
half minute or so which they are given.
For example the six numbers 1 5 5 8 25 75 and target 611 would have
multiple solutions including
80=5+75 640=80*8 635=640-5 610=635-25 611=610+1
600=8*75 6=1+5 606=600+6 5=25%5 611=606+5
There is a C program which will do an exhaustive search for solutions of
this problem. This program uses the N-queens algorithm with N=6. To get
the solutions to the above problem run swatter as follows
swatter -x 1 5 5 8 25 75 611
To get a list of all numbers between 100 and 999 which can be expressed using the
arithmetic operations +,-,*, and % (divide) run the command line
swatter -x -v 1 5 5 8 25 75 611
Numbers which can be computed will have a non zero index. Impossible
numbers will be listed with a zero in the right column.
- swatter.c source code
-
Problem description from Oxford University Computer Science Department
Meet Lily of the Valley
Steve Withington's website
Steve's website contains excellent photos of the
Derbyshire Peak District .
On the doorsteps of Sheffield and Manchester, the Peak District is Britain's
most visited national park.
How the law may affect your computer activities.
Sheffield University 2600 group.
....This page may be unavailable.
Interesting website with some good mathematics pages.
Mark Lewis
European Union Pages.
- Enlargement of the European Union
- Problems of the European Union
AMERICAN PRESIDENTIAL ELECTIONS 2000
Ralph Nader's campaign was the razor which cut asunder the much hyped
Amercan version of democracy. Since the 1890s combinatorial analysis
has been used to analyse results from exit polls and rolling counts,
while weighted voting systems have been seriously analysed since the
inception of the UN Security Council in the 1940s. Mark Livingston of
the University of North Carolina has written an excellent theoretical
page.
BANZHAF POWER INDEX AND THE ELECTORAL COLLEGE
DENOUNCE THE SINGLE CONVENTION ON NARCOTIC DRUGS
This is one of
the more moronic pieces of legislation passed by the 'great and good'
of the World. Prohibition was popular in the 1920s in the USA because
they wanted to stop drinking, and also in the then colonial world
since nationalist leaders in much of Asia were in great emotional
pain because of the actions of the British capitalist classes in using
Opium to balance the books of their then extensive overses empires.
The Japanese control of Opium distribution in China during the 1930s
lead to a reinforcement of these opinions.
Despite the UN CONVENTION intravenous drug use is rife in Eastern
Europe and many people are catching AIDS/SIDA. The UN CONVENTION is
a good example of a "harm maximisation" policy.
Unsign yourself at www.ukcia.org
Your government signed you up to this treaty which requires the
possession of a huge list of drugs including cannabis, ecstasy and
heroin to be a criminal offence punishable by "imprisonment or other
penalties of deprivation of liberty". The British foreign secretary,
Robin Cook has been pleased to exhort countries such as Singapore
and Malaysia to be yet more vigourous in enforcing these laws despite
the fact that the Death Penalty is still fashionable for drug offences
in these places.
Visit Mark Lewis website for more details.
More Maths & Politics
A Note on repression of the Palestinian people.
LETTERS OF IRAN
Javid's blog.
Please enable farsi language to view this.
Blackpool photos by Javid
Green Party Issues
Are you studying English ? Do you know that many English words have two
meanings ? Benjamin Disraeli described England as 'Two Nations' back in
the 1840s. With the emergence of English as a global language there are
many pitfalls for students. There is 'court' English spoken by the ruling
class and then there is people's English. A glossary is provided.
Acetone to Zionism
Work at Leverton Gardens
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