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Encyclopedia > Vinculum

A vinculum is a horizontal line placed over a mathematical expression, used to indicate that it is to be considered a group. A mathematical expression is a string of symbols which describes (or expresses) a (potential or actual) computation using operators and operands. ...


Examples of its use include the case of a group of infinitely repeating digits, for example,

frac{1}{3} = 0.333333dots = 0.overline{3}

It is also used in common arithmetic to denote that the numerator is being divided by the denominator as a whole group. Arithmetic or arithmetics (from the Greek word αριθμός = number) in common usage is a branch of (or the forerunner of) mathematics which records elementary properties of certain operations on numerals, though in usage by professional mathematicians, it often is treated as a synonym for number theory. ...

frac{500}{10*10} = frac{5}{1} = 5

It is also used in the notation of a radical to indicate the radicand whose root is being indicated. In the next case, the quantity ab + 2 is the radicand, and thus has a vinculum over it. In mathematics, the nth root or radical of the non-negative real number a, written as , is the unique non-negative real number b such that bn = a. ... A radicand is a mathematical expression whose root is being considered in a radical. ...

sqrt[n]{ab+2}


The vinculum is also sometimes used in Boolean algebra, where it serves to indicate a group of expressions whose logical result is to be negated, as in Wikibooks has more about Boolean logic, under the title Boolean Algebra For a basic intro to sets, Boolean operations, Venn diagrams, truth tables, and Boolean applications, see Boolean logic. ... Negation, in its most basic sense, changes the truth value of a statement to its opposite. ...

overline{AB}

The vinculum should not be confused with a similar-looking vector notation, e.g. vec{AB} "vector from A to B", or vec{a} "vector named a". In physics and in vector calculus, a spatial vector is a concept characterized by a magnitude, which is a scalar, and a direction (which can be defined in a 3-dimensional space by the Euler angles). ...


Vinculum is Latin for chain, reflecting the function of the symbol.


Fictional usage

In the Star Trek universe, a Vinculum is the computer core aboard a Borg ship which interlinks all the Borg aboard and passes tasks to appropriate drones. Each Vinculum functions as one node in the Borg collective network. It is likely the name is derived from the Latin word as well. http://www. ... The Borg are a race of cyborgs in the Star Trek fictional universe. ...


The term Vinculum was also used in the video game Killer7 to refer to a set of gates. These Vinculum Gates were used to traverse long distances like portals and usually led to boss fights. This article needs to be cleaned up to conform to a higher standard of quality. ...


  Results from FactBites:
 
-=| Beth Custer |=- Project: Vinculum (337 words)
Vinculum Symphony is a large scale composition that brings together chamber musicians and experimental instrument builders, people who build and improvise on their own creations in the tradition of Harry Partch.
Vinculum is very unique in that is necessary for it to change each time it is produced to reflect the people I'm collaborating with and the city I'm collaborating in.
Vinculum also has this wonderful sense of community in it as it brings together musicians who don't often know of each other -- from the contemporary and jazz music worlds with those of the experimental instrument world.
Vinculum (symbol) - Wikipedia, the free encyclopedia (204 words)
A vinculum is a horizontal line placed over a mathematical expression, used to indicate that it is to be considered a group.
Vinculum is Latin for "chain", reflecting the function of the symbol.
The vinculum should not be confused with a similar-looking vector notation, e.g.
  More results at FactBites »

 
 

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