Faster access than browser!Similarities between Basis (linear algebra) and Hilbert space
Basis (linear algebra) and Hilbert space have 29 things in common (in Unionpedia): American Mathematical Society, Banach space, Cardinal number, Change of basis, Complete metric space, Complex number, Dimension (vector space), Dual space, Fourier analysis, Fourier series, If and only if, Inner product space, Linear combination, Linear form, Linear function, Linear independence, Linear map, Linear span, Mathematics, Orthonormal basis, Partially ordered set, Projective space, Real number, Sequence, Series (mathematics), Springer Science+Business Media, Topological vector space, Vector space, Zorn's lemma.
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
American Mathematical Society and Basis (linear algebra) · American Mathematical Society and Hilbert space ·
Banach space
In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.
Banach space and Basis (linear algebra) · Banach space and Hilbert space ·
Cardinal number
In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets.
Basis (linear algebra) and Cardinal number · Cardinal number and Hilbert space ·
Change of basis
In linear algebra, a basis for a vector space of dimension n is a set of n vectors, called basis vectors, with the property that every vector in the space can be expressed as a unique linear combination of the basis vectors.
Basis (linear algebra) and Change of basis · Change of basis and Hilbert space ·
Complete metric space
In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M. Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary).
Basis (linear algebra) and Complete metric space · Complete metric space and Hilbert 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.
Basis (linear algebra) and Complex number · Complex number and Hilbert space ·
Dimension (vector space)
In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V over its base field.
Basis (linear algebra) and Dimension (vector space) · Dimension (vector space) and Hilbert space ·
Dual space
In mathematics, any vector space V has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V, together with the vector space structure of pointwise addition and scalar multiplication by constants.
Basis (linear algebra) and Dual space · Dual space and Hilbert space ·
Fourier analysis
In mathematics, Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.
Basis (linear algebra) and Fourier analysis · Fourier analysis and Hilbert space ·
Fourier series
In mathematics, a Fourier series is a way to represent a function as the sum of simple sine waves.
Basis (linear algebra) and Fourier series · Fourier series and Hilbert 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.
Basis (linear algebra) and If and only if · Hilbert space and If and only if ·
Inner product space
In linear algebra, an inner product space is a vector space with an additional structure called an inner product.
Basis (linear algebra) and Inner product space · Hilbert space and Inner product 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).
Basis (linear algebra) and Linear combination · Hilbert space and Linear combination ·
Linear form
In linear algebra, a linear functional or linear form (also called a one-form or covector) is a linear map from a vector space to its field of scalars.
Basis (linear algebra) and Linear form · Hilbert space and Linear form ·
Linear function
In mathematics, the term linear function refers to two distinct but related notions.
Basis (linear algebra) and Linear function · Hilbert space and Linear function ·
Linear independence
In the theory of vector spaces, a set of vectors is said to be if one of the vectors in the set can be defined as a linear combination of the others; if no vector in the set can be written in this way, then the vectors are said to be.
Basis (linear algebra) and Linear independence · Hilbert space and Linear independence ·
Linear map
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
Basis (linear algebra) and Linear map · Hilbert space and Linear map ·
Linear span
In linear algebra, the linear span (also called the linear hull or just span) of a set of vectors in a vector space is the intersection of all subspaces containing that set.
Basis (linear algebra) and Linear span · Hilbert space and Linear span ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Basis (linear algebra) and Mathematics · Hilbert space and Mathematics ·
Orthonormal basis
In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other.
Basis (linear algebra) and Orthonormal basis · Hilbert space and Orthonormal basis ·
Partially ordered set
In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.
Basis (linear algebra) and Partially ordered set · Hilbert space and Partially ordered set ·
Projective space
In mathematics, a projective space can be thought of as the set of lines through the origin of a vector space V. The cases when and are the real projective line and the real projective plane, respectively, where R denotes the field of real numbers, R2 denotes ordered pairs of real numbers, and R3 denotes ordered triplets of real numbers.
Basis (linear algebra) and Projective space · Hilbert space and Projective space ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Basis (linear algebra) and Real number · Hilbert space and Real number ·
Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.
Basis (linear algebra) and Sequence · Hilbert space and Sequence ·
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.
Basis (linear algebra) and Series (mathematics) · Hilbert space and Series (mathematics) ·
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
Basis (linear algebra) and Springer Science+Business Media · Hilbert space and Springer Science+Business Media ·
Topological vector space
In mathematics, a topological vector space (also called a linear topological space) is one of the basic structures investigated in functional analysis.
Basis (linear algebra) and Topological vector space · Hilbert space and Topological vector space ·
Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
Basis (linear algebra) and Vector space · Hilbert space and Vector space ·
Zorn's lemma
Zorn's lemma, also known as the Kuratowski–Zorn lemma, after mathematicians Max Zorn and Kazimierz Kuratowski, is a proposition of set theory that states that a partially ordered set containing upper bounds for every chain (that is, every totally ordered subset) necessarily contains at least one maximal element.
Basis (linear algebra) and Zorn's lemma · Hilbert space and Zorn's lemma ·
The list above answers the following questions
- What Basis (linear algebra) and Hilbert space have in common
- What are the similarities between Basis (linear algebra) and Hilbert space
Basis (linear algebra) and Hilbert space Comparison
Basis (linear algebra) has 74 relations, while Hilbert space has 298. As they have in common 29, the Jaccard index is 7.80% = 29 / (74 + 298).
References
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