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Complex number and Zero of a function

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Complex number and Zero of a function

Complex number vs. Zero of a function

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation. 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 f(x).

Similarities between Complex number and Zero of a function

Complex number and Zero of a function have 15 things in common (in Unionpedia): Algebraic solution, Algebraically closed field, Cartesian coordinate system, Complex conjugate, Complex number, Continuous function, Field (mathematics), Fundamental theorem of algebra, Graph of a function, Marden's theorem, Polynomial, Polynomial ring, Real number, Topology, Zeros and poles.

Algebraic solution

An algebraic solution or solution in radicals is a closed-form expression, and more specifically a closed-form algebraic expression, that is the solution of an algebraic equation in terms of the coefficients, relying only on addition, subtraction, multiplication, division, raising to integer powers, and the extraction of nth roots (square roots, cube roots, and other integer roots).

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Algebraically closed field

In abstract algebra, an algebraically closed field F contains a root for every non-constant polynomial in F, the ring of polynomials in the variable x with coefficients in F.

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Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

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Complex conjugate

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

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Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

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Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

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Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Complex number and Field (mathematics) · Field (mathematics) and Zero of a function · See more »

Fundamental theorem of algebra

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.

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Graph of a function

In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.

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Marden's theorem

In mathematics, Marden's theorem, named after Morris Marden but proven much earlier by Jörg Siebeck, gives a geometric relationship between the zeroes of a third-degree polynomial with complex coefficients and the zeroes of its derivative.

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Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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Polynomial ring

In mathematics, especially in the field of abstract algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

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Zeros and poles

In mathematics, a zero of a function is a value such that.

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The list above answers the following questions

Complex number and Zero of a function Comparison

Complex number has 295 relations, while Zero of a function has 49. As they have in common 15, the Jaccard index is 4.36% = 15 / (295 + 49).

References

This article shows the relationship between Complex number and Zero of a function. To access each article from which the information was extracted, please visit:

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