Difference between revisions of "Zero"

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'''Zero''', or 0, is the name traditionally given to the additive [[identity]] in number systems such as [[abelian group]]s, [[ring]]s and [[field]]s (especially in the particular examples of the [[integer]]s, [[rational number]]s, [[real number]]s and [[complex number]]s).
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The term '''zero''' may refer to:
  
The development of a concept and notation for 0, probably in ancient Indian civilization, and its subsequent transmission to Europe via the Persians and Arabs, was fundamental to the success of western mathematics in fields beyond [[geometry]].  It has suprisingly much relevance due to its significance in [[positional number system]]s.  For instance, normal commercial interactions might be seriously slowed if cashiers had to make change on a purchase of LXIV dollars with bills marked L, X, V and I when handed XC dollars.
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* [[Zero (constant)]] -- the [[constant]] zero (0).
 
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* [[Root (polynomial)]] -- the zero of a [[polynomial]] or other [[function]]
==Alternate usage==
 
Sometimes, the word zero is used to mean [[root]].  For example, one might say, "The [[function]] <math>f(z) = \frac{z - 3}{2z + 1}</math> has its only zero at <math>z = 3</math>."
 
 
 
 
 
== See also ==
 
* [[Algebraic geometry]]
 
* [[Constant]]
 
* [[Number theory]]
 
 
 
[[Category:Constants]]
 

Latest revision as of 15:12, 2 September 2024


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The term zero may refer to: