Similarities between Bra–ket notation and Projection (linear algebra)
Bra–ket notation and Projection (linear algebra) have 15 things in common (in Unionpedia): Banach space, Complete metric space, Conjugate transpose, Dot product, Functional analysis, Hilbert space, Inner product space, Linear algebra, Linear map, Linear subspace, Matrix multiplication, Orthonormal basis, Outer product, Self-adjoint operator, Vector space.
Banach space
In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.
Banach space and Bra–ket notation · Banach space and Projection (linear algebra) ·
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).
Bra–ket notation and Complete metric space · Complete metric space and Projection (linear algebra) ·
Conjugate transpose
In mathematics, the conjugate transpose or Hermitian transpose of an m-by-n matrix A with complex entries is the n-by-m matrix A∗ obtained from A by taking the transpose and then taking the complex conjugate of each entry.
Bra–ket notation and Conjugate transpose · Conjugate transpose and Projection (linear algebra) ·
Dot product
In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.
Bra–ket notation and Dot product · Dot product and Projection (linear algebra) ·
Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.
Bra–ket notation and Functional analysis · Functional analysis and Projection (linear algebra) ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Bra–ket notation and Hilbert space · Hilbert space and Projection (linear algebra) ·
Inner product space
In linear algebra, an inner product space is a vector space with an additional structure called an inner product.
Bra–ket notation and Inner product space · Inner product space and Projection (linear algebra) ·
Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.
Bra–ket notation and Linear algebra · Linear algebra and Projection (linear algebra) ·
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.
Bra–ket notation and Linear map · Linear map and Projection (linear algebra) ·
Linear subspace
In linear algebra and related fields of mathematics, a linear subspace, also known as a vector subspace, or, in the older literature, a linear manifold, is a vector space that is a subset of some other (higher-dimension) vector space.
Bra–ket notation and Linear subspace · Linear subspace and Projection (linear algebra) ·
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.
Bra–ket notation and Matrix multiplication · Matrix multiplication and Projection (linear algebra) ·
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.
Bra–ket notation and Orthonormal basis · Orthonormal basis and Projection (linear algebra) ·
Outer product
In linear algebra, an outer product is the tensor product of two coordinate vectors, a special case of the Kronecker product of matrices.
Bra–ket notation and Outer product · Outer product and Projection (linear algebra) ·
Self-adjoint operator
In mathematics, a self-adjoint operator on a finite-dimensional complex vector space V with inner product \langle\cdot,\cdot\rangle is a linear map A (from V to itself) that is its own adjoint: \langle Av,w\rangle.
Bra–ket notation and Self-adjoint operator · Projection (linear algebra) and Self-adjoint operator ·
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.
Bra–ket notation and Vector space · Projection (linear algebra) and Vector space ·
The list above answers the following questions
- What Bra–ket notation and Projection (linear algebra) have in common
- What are the similarities between Bra–ket notation and Projection (linear algebra)
Bra–ket notation and Projection (linear algebra) Comparison
Bra–ket notation has 80 relations, while Projection (linear algebra) has 66. As they have in common 15, the Jaccard index is 10.27% = 15 / (80 + 66).
References
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