THE WHATIS.COM WORD-OF-THE-DAY   
October 10, 2002

zero 
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TODAY'S WORD: zero 

See our definition with hyperlinks at 
http://whatis.techtarget.com/definition/0,,sid9_gci856016,00.html 

In mathematics, zero, symbolized by the numeric character 0, is both:

1. In a positional number system, a place indicator meaning "no units
of this multiple." For example, in the decimal number 1,041, there is
one unit in the thousands position, no units in the hundreds
position, four units in the tens position, and one unit in the 1-9
position. 

2. An independent value midway between +1 and -1. 

In writing outside of mathematics, depending on the context, various
denotative or connotative meanings for zero include "total failure,"
"absence," "nil," and "absolutely nothing." ("Nothing" is an even
more abstract concept than "zero" and their meanings sometimes
intersect.) 

Notation for placeholders in positional numbers is found on stone
tablets from ancient (3,000 B.C.) Sumeria. Yet, the Greeks had no
concept of a number like zero. In terms of modern use, zero is
sometimes traced to the Indian mathematician Aryabhata who, about 520
A.D., devised a positional decimal number system that contained a
word, "kha," for the idea of a placeholder. By 876, based on an
existing tablet inscription with that date, the kha had become the
symbol "0". Meanwhile, somewhat after Aryabhata, another Indian,
Brahmagupta, developed the concept of the zero as an actual
independent number, not just a place-holder, and wrote rules for
adding and subtracting zero from other numbers. The Indian writings
were passed on to al-Khwarizmi (from whose name we derive the term
"algorithm") and thence to Leonardo Fibonacci and others who
continued to develop the concept and the number. 

Various arithmetic operations that include zero have sometimes been
the subject of dispute such as the result of dividing zero by zero.
The answer is that it can't be done. Although early mathematicians
tried to wrestle some sort of result out of this operation, later
ones have decided that this problem just won't bear any fruit. This
is viewed as another case where language allows us to ask a question
that really doesn't make sense to ask. 

Zero to the zeroeth power on the other hand has three possible
answers. For some apparently useful reasons, the answer is 1. But in
other contexts, the answer can be either "indeterminate" (not capable
of being calculated) or "undefined/nonexistent." 

RELATED TERMS:

algorithm 
http://searchvb.techtarget.com/sDefinition/0,,sid8_gci211545,00.html 

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SELECTED LINKS:

A Web site in the U.K. offers "A history of Zero." 
http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Zero.html 

Aryabhatta and other Indian thinkers are discussed in a site on
Indian heritage. 
http://www.indiaheritage.com/science/math.htm 

Hossein Arsham has written a paper called "Zero in Four Dimensions:
Historical, Psychological, Cultural, and Logical Perspectives." 
http://www.pantaneto.co.uk/issue5/arsham.htm 

______________________
THIS DAY IN IT HISTORY | October 10, 1995

Netscape invited users to beta test their new browser and promised to
pay $1,000 to the first person to find a major security bug. 
http://whatis.techtarget.com/definition/0,,sid9_gci211654,00.html 

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CROSSWORD PUZZLE #4 | Graphics 

Improve your flexible thinking skills. Print out the puzzle and keep
it nearby to work on throughout your day!
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QUIZ #8 | Database basics

How much do you know about how a database works? Take our quiz and
find out!
http://searchdatabase.techtarget.com/sDefinition/0,,sid13_gci750695,00.html 

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REAL-LIFE CHALLENGE #17 | Why learn Linux?

Bob wants to know which is the better career move -- taking the free
time he has to learn Linux, or using that time to get another
Microsoft certification. Can you give him some advice?
http://whatis.discussions.techtarget.com/WebX?[EMAIL PROTECTED]@.1dcfae0e/141!viewtype=threadDate&skip=&expand=
 

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RECENT ADDITIONS AND UPDATES 

[1] N1  
http://searchsolaris.techtarget.com/sDefinition/0,,sid12_gci854790,00.html

[2] OOPSLA 
http://searchwebservices.techtarget.com/sDefinition/0,,sid26_gci854764,00.html

[3] segmentation and reassembly 
http://searchnetworking.techtarget.com/sDefinition/0,,sid7_gci854752,00.html

[4] SIGTRAN 
http://searchnetworking.techtarget.com/sDefinition/0,,sid7_gci854620,00.html

[5] TP0-TP4 
http://searchnetworking.techtarget.com/sDefinition/0,,sid7_gci854617,00.html

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