Volume 5, Number 30
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24 July 2000 Vol. 5, No. 30
THE MATH FORUM INTERNET NEWS
Zero Saga & Confusions with Numbers - Arsham
DPGraph - Parker | Flying Between Two Trains - Dr. Math FAQ
THE ZERO SAGA & CONFUSIONS WITH NUMBERS
Prof. Hossein Arsham; University of Baltimore
http://ubmail.ubalt.edu/~harsham/zero/ZERO.HTM
A critical panoramic view of basic mathematical fallacies
surrounding zero, such as:
- dividing by zero
- taking the limit
- IEEE special floating point
- the notion of zero throughout history
- when zero is "not there"
- the origin of infinity and its symbol
- taking the square root of both sides of an equality
- manipulation on divergent series
- taking conventions for proofs
- taking the derivative with respect to a discrete variable
- misplacement of the sign (square root)
- confusion between a number and an operation, and
- "errant views"
Notes, further readings, and references are included.
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DPGRAPH - David Parker
Dynamic Photorealistic Graphing
http://www.davidparker.com/
Written in assembly language, DPGraph runs under Windows and
Windows emulators. The software allows you to:
- display multiple simultaneous dynamic photorealistic 3D
implicit equalities and inequalities, and intersections
of their volumes;
- spin, slice, and view time-dependent (moving)
photorealistic surfaces in real time; and
- construct 2D, 3D, 4D, 5D, 6D, and 7D graphs (as an
example of a 7D graph, DPGraph can do 3D arrays of
time-dependent 3D vectors, i.e., dynamic vector fields).
Information on site licensing and costs, software reviews,
technical support and FAQs, upgrades, and a library of
graphs, movies, and links are available onsite.
http://www.davidparker.com/library.html
The June issue of Visual Mathematics featured a gallery
devoted to DPGraph, with graphs created by mathematicians
and scientists from around the world, including three high
school students and one junior high school student. The
credits for the graphs are at the end of the gallery.
http://members.tripod.com/vismath3/parker/gr.htm
http://members.tripod.com/vismath3/parker/gr5.htm
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New from the Dr. Math FAQ
FLYING BETWEEN TWO TRAINS
http://mathforum.org/dr.math/faq/faq.fly.trains.html
Two trains 150 miles apart travel toward each other along
the same track, the first train at 60 miles per hour, the
second at 90 miles per hour. A fly buzzes back and forth
between the two trains until they collide. If the fly's
speed is 120 miles per hour, how far will it travel?
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