Faster access than browser!Similarities between Complex number and Vector space
Complex number and Vector space have 78 things in common (in Unionpedia): Addison-Wesley, Addition, Additive inverse, Algebraic number, Algebraic number theory, Algebraically closed field, American Mathematical Monthly, Axiom of choice, C. V. Mourey, Cartesian coordinate system, Coefficient, Commutative property, Complex conjugate, Complex number, Complex plane, Continuous function, Coset, Determinant, Differential equation, Digital signal processing, Dimension, Distributive property, Dover Publications, Eigenvalues and eigenvectors, Euclidean vector, Exponential function, Field (mathematics), Field extension, General relativity, Giusto Bellavitis, ..., Hilbert space, If and only if, Imaginary unit, Interval (mathematics), Isomorphism, Jean-Robert Argand, John Wiley & Sons, Limit of a sequence, Linear combination, Mathematical analysis, Matrix (mathematics), Matrix multiplication, Metric (mathematics), Metric space, Multiplicative inverse, Neighbourhood (mathematics), Number theory, Octonion, Ordered pair, Origin (mathematics), Parallelogram, Pi, Polynomial, Polynomial ring, Princeton University Press, Quantum mechanics, Quaternion, Quotient ring, Rational number, Real number, René Descartes, Representation theory, Ring (mathematics), Schrödinger equation, Series (mathematics), Set (mathematics), Sine wave, Spacetime, Special relativity, Square matrix, Subtraction, Tensor, Topological space, Topology, Triangle inequality, Trigonometric functions, William Rowan Hamilton, Zero of a function. Expand index (48 more) »
Addison-Wesley
Addison-Wesley is a publisher of textbooks and computer literature.
Addison-Wesley and Complex number · Addison-Wesley and Vector space ·
Addition
Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.
Addition and Complex number · Addition and Vector space ·
Additive inverse
In mathematics, the additive inverse of a number is the number that, when added to, yields zero.
Additive inverse and Complex number · Additive inverse and Vector space ·
Algebraic number
An algebraic number is any complex number (including real numbers) that is a root of a non-zero polynomial (that is, a value which causes the polynomial to equal 0) in one variable with rational coefficients (or equivalently – by clearing denominators – with integer coefficients).
Algebraic number and Complex number · Algebraic number and Vector space ·
Algebraic number theory
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.
Algebraic number theory and Complex number · Algebraic number theory and Vector space ·
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.
Algebraically closed field and Complex number · Algebraically closed field and Vector space ·
American Mathematical Monthly
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
American Mathematical Monthly and Complex number · American Mathematical Monthly and Vector space ·
Axiom of choice
In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty.
Axiom of choice and Complex number · Axiom of choice and Vector space ·
C. V. Mourey
C.
C. V. Mourey and Complex number · C. V. Mourey and Vector space ·
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.
Cartesian coordinate system and Complex number · Cartesian coordinate system and Vector space ·
Coefficient
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but may be any expression.
Coefficient and Complex number · Coefficient and Vector space ·
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
Commutative property and Complex number · Commutative property and Vector space ·
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.
Complex conjugate and Complex number · Complex conjugate and Vector space ·
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.
Complex number and Complex number · Complex number and Vector space ·
Complex plane
In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.
Complex number and Complex plane · Complex plane and Vector space ·
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.
Complex number and Continuous function · Continuous function and Vector space ·
Coset
In mathematics, if G is a group, and H is a subgroup of G, and g is an element of G, then Only when H is normal will the set of right cosets and the set of left cosets of H coincide, which is one definition of normality of a subgroup.
Complex number and Coset · Coset and Vector space ·
Determinant
In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.
Complex number and Determinant · Determinant and Vector space ·
Differential equation
A differential equation is a mathematical equation that relates some function with its derivatives.
Complex number and Differential equation · Differential equation and Vector space ·
Digital signal processing
Digital signal processing (DSP) is the use of digital processing, such as by computers or more specialized digital signal processors, to perform a wide variety of signal processing operations.
Complex number and Digital signal processing · Digital signal processing and Vector space ·
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
Complex number and Dimension · Dimension and Vector space ·
Distributive property
In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from boolean algebra and elementary algebra.
Complex number and Distributive property · Distributive property and Vector space ·
Dover Publications
Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.
Complex number and Dover Publications · Dover Publications and Vector space ·
Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
Complex number and Eigenvalues and eigenvectors · Eigenvalues and eigenvectors and Vector space ·
Euclidean vector
In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as here—simply a vector) is a geometric object that has magnitude (or length) and direction.
Complex number and Euclidean vector · Euclidean vector and Vector space ·
Exponential function
In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.
Complex number and Exponential function · Exponential function and Vector space ·
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 Vector space ·
Field extension
In mathematics, and in particular, algebra, a field E is an extension field of a field F if E contains F and the operations of F are those of E restricted to F. Equivalently, F is a subfield of E. For example, under the usual notions of addition and multiplication, the complex numbers are an extension field of the real numbers; the real numbers are a subfield of the complex numbers.
Complex number and Field extension · Field extension and Vector space ·
General relativity
General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.
Complex number and General relativity · General relativity and Vector space ·
Giusto Bellavitis
Giusto Bellavitis (22 November 1803 – 6 November 1880) was an Italian mathematician, senator, and municipal councilor.
Complex number and Giusto Bellavitis · Giusto Bellavitis and Vector space ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Complex number and Hilbert space · Hilbert space and Vector space ·
If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
Complex number and If and only if · If and only if and Vector space ·
Imaginary unit
The imaginary unit or unit imaginary number is a solution to the quadratic equation.
Complex number and Imaginary unit · Imaginary unit and Vector space ·
Interval (mathematics)
In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.
Complex number and Interval (mathematics) · Interval (mathematics) and Vector space ·
Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
Complex number and Isomorphism · Isomorphism and Vector space ·
Jean-Robert Argand
Jean-Robert Argand (July 18, 1768 – August 13, 1822) was an amateur mathematician.
Complex number and Jean-Robert Argand · Jean-Robert Argand and Vector space ·
John Wiley & Sons
John Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing.
Complex number and John Wiley & Sons · John Wiley & Sons and Vector space ·
Limit of a sequence
As the positive integer n becomes larger and larger, the value n\cdot \sin\bigg(\frac1\bigg) becomes arbitrarily close to 1.
Complex number and Limit of a sequence · Limit of a sequence and Vector space ·
Linear combination
In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).
Complex number and Linear combination · Linear combination and Vector space ·
Mathematical analysis
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
Complex number and Mathematical analysis · Mathematical analysis and Vector space ·
Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
Complex number and Matrix (mathematics) · Matrix (mathematics) and Vector space ·
Matrix multiplication
In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more generally, in a ring or even a semiring.
Complex number and Matrix multiplication · Matrix multiplication and Vector space ·
Metric (mathematics)
In mathematics, a metric or distance function is a function that defines a distance between each pair of elements of a set.
Complex number and Metric (mathematics) · Metric (mathematics) and Vector space ·
Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
Complex number and Metric space · Metric space and Vector space ·
Multiplicative inverse
In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.
Complex number and Multiplicative inverse · Multiplicative inverse and Vector space ·
Neighbourhood (mathematics)
In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.
Complex number and Neighbourhood (mathematics) · Neighbourhood (mathematics) and Vector space ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
Complex number and Number theory · Number theory and Vector space ·
Octonion
In mathematics, the octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard bold \mathbb O. There are three lower-dimensional normed division algebras over the reals: the real numbers R themselves, the complex numbers C, and the quaternions H. The octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension.
Complex number and Octonion · Octonion and Vector space ·
Ordered pair
In mathematics, an ordered pair (a, b) is a pair of objects.
Complex number and Ordered pair · Ordered pair and Vector space ·
Origin (mathematics)
In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space.
Complex number and Origin (mathematics) · Origin (mathematics) and Vector space ·
Parallelogram
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.
Complex number and Parallelogram · Parallelogram and Vector space ·
Pi
The number is a mathematical constant.
Complex number and Pi · Pi and Vector space ·
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.
Complex number and Polynomial · Polynomial and Vector space ·
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.
Complex number and Polynomial ring · Polynomial ring and Vector space ·
Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University.
Complex number and Princeton University Press · Princeton University Press and Vector space ·
Quantum mechanics
Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.
Complex number and Quantum mechanics · Quantum mechanics and Vector space ·
Quaternion
In mathematics, the quaternions are a number system that extends the complex numbers.
Complex number and Quaternion · Quaternion and Vector space ·
Quotient ring
In ring theory, a branch of abstract algebra, a quotient ring, also known as factor ring, difference ring or residue class ring, is a construction quite similar to the quotient groups of group theory and the quotient spaces of linear algebra.
Complex number and Quotient ring · Quotient ring and Vector space ·
Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
Complex number and Rational number · Rational number and Vector space ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Complex number and Real number · Real number and Vector space ·
René Descartes
René Descartes (Latinized: Renatus Cartesius; adjectival form: "Cartesian"; 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and scientist.
Complex number and René Descartes · René Descartes and Vector space ·
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
Complex number and Representation theory · Representation theory and Vector space ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Complex number and Ring (mathematics) · Ring (mathematics) and Vector space ·
Schrödinger equation
In quantum mechanics, the Schrödinger equation is a mathematical equation that describes the changes over time of a physical system in which quantum effects, such as wave–particle duality, are significant.
Complex number and Schrödinger equation · Schrödinger equation and Vector space ·
Series (mathematics)
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
Complex number and Series (mathematics) · Series (mathematics) and Vector space ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Complex number and Set (mathematics) · Set (mathematics) and Vector space ·
Sine wave
A sine wave or sinusoid is a mathematical curve that describes a smooth periodic oscillation.
Complex number and Sine wave · Sine wave and Vector space ·
Spacetime
In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.
Complex number and Spacetime · Spacetime and Vector space ·
Special relativity
In physics, special relativity (SR, also known as the special theory of relativity or STR) is the generally accepted and experimentally well-confirmed physical theory regarding the relationship between space and time.
Complex number and Special relativity · Special relativity and Vector space ·
Square matrix
In mathematics, a square matrix is a matrix with the same number of rows and columns.
Complex number and Square matrix · Square matrix and Vector space ·
Subtraction
Subtraction is an arithmetic operation that represents the operation of removing objects from a collection.
Complex number and Subtraction · Subtraction and Vector space ·
Tensor
In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.
Complex number and Tensor · Tensor and Vector space ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
Complex number and Topological space · Topological space and Vector space ·
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.
Complex number and Topology · Topology and Vector space ·
Triangle inequality
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
Complex number and Triangle inequality · Triangle inequality and Vector space ·
Trigonometric functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.
Complex number and Trigonometric functions · Trigonometric functions and Vector space ·
William Rowan Hamilton
Sir William Rowan Hamilton MRIA (4 August 1805 – 2 September 1865) was an Irish mathematician who made important contributions to classical mechanics, optics, and algebra.
Complex number and William Rowan Hamilton · Vector space and William Rowan Hamilton ·
Zero of a function
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).
Complex number and Zero of a function · Vector space and Zero of a function ·
The list above answers the following questions
- What Complex number and Vector space have in common
- What are the similarities between Complex number and Vector space
Complex number and Vector space Comparison
Complex number has 295 relations, while Vector space has 341. As they have in common 78, the Jaccard index is 12.26% = 78 / (295 + 341).
References
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