Faster access than browser!Similarities between Fourier series and Inner product space
Fourier series and Inner product space have 7 things in common (in Unionpedia): Basis (linear algebra), Cauchy–Schwarz inequality, Hilbert space, Quantum mechanics, Riemannian manifold, Stone–Weierstrass theorem, Trigonometric polynomial.
Basis (linear algebra)
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.
Basis (linear algebra) and Fourier series · Basis (linear algebra) and Inner product space ·
Cauchy–Schwarz inequality
In mathematics, the Cauchy–Schwarz inequality, also known as the Cauchy–Bunyakovsky–Schwarz inequality, is a useful inequality encountered in many different settings, such as linear algebra, analysis, probability theory, vector algebra and other areas.
Cauchy–Schwarz inequality and Fourier series · Cauchy–Schwarz inequality and Inner product space ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Fourier series and Hilbert space · Hilbert space and Inner product 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.
Fourier series and Quantum mechanics · Inner product space and Quantum mechanics ·
Riemannian manifold
In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.
Fourier series and Riemannian manifold · Inner product space and Riemannian manifold ·
Stone–Weierstrass theorem
In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval can be uniformly approximated as closely as desired by a polynomial function.
Fourier series and Stone–Weierstrass theorem · Inner product space and Stone–Weierstrass theorem ·
Trigonometric polynomial
In the mathematical subfields of numerical analysis and mathematical analysis, a trigonometric polynomial is a finite linear combination of functions sin(nx) and cos(nx) with n taking on the values of one or more natural numbers.
Fourier series and Trigonometric polynomial · Inner product space and Trigonometric polynomial ·
The list above answers the following questions
- What Fourier series and Inner product space have in common
- What are the similarities between Fourier series and Inner product space
Fourier series and Inner product space Comparison
Fourier series has 129 relations, while Inner product space has 106. As they have in common 7, the Jaccard index is 2.98% = 7 / (129 + 106).
References
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