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Sentences with ORTHONORMAL

Check out our example sentences below to help you understand the context.

Sentences

1
"The vectors in an orthonormal basis have a length of 1 and are orthogonal to each other."
2
"The orthonormal matrix consists of a set of orthonormal column vectors."
3
"The orthonormal system of functions forms an orthonormal basis for the space."
4
"The orthonormal vectors span the entire vector space."
5
"In an orthonormal coordinate system, the basis vectors are mutually perpendicular and have unit length."
6
"The orthonormal eigenfunctions of the Hamiltonian operator provide a complete set of solutions to the Schrödinger equation."
7
"The orthonormal projection of a vector onto a subspace can be computed using the projection matrix."
8
"The orthonormal symmetric matrix has a special property that its inverse is equal to its transpose."
9
"The orthonormal transformation preserves the lengths and angles between vectors."
1
"In linear algebra, an orthonormal set of vectors is a set of vectors that are mutually orthogonal and all have length 1."
2
"The standard basis vectors in Euclidean space form an orthonormal set."
3
"An orthonormal basis is a basis consisting of orthonormal vectors."
4
"The Fourier transform uses orthonormal basis functions."
5
"A matrix with orthonormal columns is called an orthogonal matrix."
6
"The rows and columns of an orthogonal matrix are orthonormal vectors."
7
"The Gram-Schmidt process is used to transform a linearly independent set of vectors into an orthonormal set."
8
"The dot product of any two orthonormal vectors is 0."
9
"In quantum mechanics, wavefunctions are often represented using orthonormal basis sets."
10
"The Legendre polynomials form an orthonormal set of solutions to the Legendre differential equation."
11
"The orthonormality condition ensures that the inner product between different basis vectors is zero."
12
"The vectors (1,0) and (0,1) are orthonormal in Euclidean plane."
13
"An orthonormal structure can be defined on a finite-dimensional inner product space."
14
"The eigenvectors of a symmetric matrix can be chosen to form an orthonormal set."
15
"The dot product of a vector with itself is equal to 1 if the vector is orthonormal."
16
"Gram-Schmidt orthogonalization process is used to create an orthonormal basis from a linearly independent set."
17
"The inverse of an orthonormal matrix is its transpose."
18
"The orthonormal complement of a subspace consists of vectors orthogonal to that subspace."
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