Zero of a function

A graph of the function cos(x) on the domain , with x-intercepts indicated in red. The function has zeroes where x is , , and .

In mathematics, a zero, also sometimes called a root, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is, x is a solution of the equation

In other words, a "zero" of a function is an input value that produces an output of zero (0).

A root of a polynomial is a zero of the associated polynomial function. The fundamental theorem of algebra shows that any non-zero polynomial has a number of roots at most equal to its degree and that the number of roots and the degree are equal when one considers the complex roots (or more generally the roots in an algebraically closed extension) counted with their multiplicities. For example, the polynomial f of degree two, defined by

has the two roots 2 and 3, since

If the function maps real numbers to real numbers, its zeroes are the x-coordinates of the points where its graph meets the x-axis. An alternative name for such a point (x,0) in this context is an x-intercept.

Staré

Staré is a village and municipality in Michalovce District in the Kosice Region of eastern Slovakia.

History

In historical records the village was first mentioned in 1221.

Geography

The village lies at an altitude of 107 metres and covers an area of 6.234 km². The municipality has a population of about 700 people. The name was taken from grof Staray.

See also

References

External links

Coordinates: 48°52′N 21°52′E / 48.867°N 21.867°E / 48.867; 21.867

Growth–share matrix

The growth–share matrix (aka the product portfolio, BCG-matrix, Boston matrix, Boston Consulting Group analysis, portfolio diagram) is a chart that was created by Bruce D. Henderson for the Boston Consulting Group in 1970 to help corporations to analyze their business units, that is, their product lines. This helps the company allocate resources and is used as an analytical tool in brand marketing, product management, strategic management, and portfolio analysis. Analysis of market performance by firms using its principles has recently called its usefulness into question.

Overview

To use the chart, analysts plot a scatter graph to rank the business units (or products) on the basis of their relative market shares and growth rates.

Star (Erasure song)

"Star" is a song by Erasure, released in 1990 as the fourth European (and third American) single from the group's fourth studio album Wild!.

A straightforward dance music track with disco elements, "Star" was written by Erasure members Vince Clarke and Andy Bell, its lyrical content clearly referencing nuclear war; Erasure's own form of protest song. When released as a single, the track was remixed slightly for radio, bringing acoustic guitar elements and various background vocal parts forward in the mix.

The last single released from Wild!, "Star" became Erasure's twelfth consecutive Top 20 hit on the UK singles chart, peaking at number eleven, and in Germany it peaked at number twenty-three. In the United States, "Star" did not enter the Billboard Hot 100, although it became a popular club hit, climbing to number four on the U.S. Hot Dance Music/Club Play chart.

Track listings

7" single (MUTE111) / Cassette Single (CMUTE111)

12" single (12MUTE111)