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searching for Addition theorem 26 found (32 total)

Rigid body (3,341 words) [view diff] no match in snippet view article find links to article

In physics, a rigid body, also known as a rigid object, is a solid body in which deformation is zero or negligible, when a deforming pressure or deforming

List of trigonometric identities (12,413 words) [view diff] case mismatch in snippet view article find links to article

edition. New York, NY, Wiley. Pp 334-335. Weisstein, Eric W. "Harmonic Addition Theorem". MathWorld. Ortiz Muñiz, Eddie (Feb 1953). "A Method for Deriving

Conical function (371 words) [view diff] exact match in snippet view article find links to article

series of functions representations for them. He also established an addition theorem for the conical functions. Carl Neumann obtained an expansion of the

Spherical harmonics (12,488 words) [view diff] exact match in snippet view article find links to article

{\displaystyle (2\ell +1)} . Many facts about spherical harmonics (such as the addition theorem) that are proved laboriously using the methods of analysis acquire

Elliptic function (2,442 words) [view diff] exact match in snippet view article find links to article

immediately generalized Fagnano's results and posed his algebraic addition theorem for elliptic integrals. Except for a comment by Landen his ideas were

Hyperbolic sector (895 words) [view diff] exact match in snippet view article find links to article

hyperbola xy = 1 onto the main diagonal, in his article "Note on the addition theorem for hyperbolic functions". It is known that f(x) = xp has an algebraic

Laplace expansion (potential) (742 words) [view diff] exact match in snippet view article

}h^{\ell }P_{\ell }(\cos \gamma ).} Use of the spherical harmonic addition theorem P ℓ ( cos ⁡ γ ) = 4 π 2 ℓ + 1 ∑ m = − ℓ ℓ ( − 1 ) m Y ℓ − m ( θ , φ

John Broome (philosopher) (414 words) [view diff] exact match in snippet view article

that these dimensions are linked by what he calls the interpersonal addition theorem, which supports the utilitarian principle of distribution. In his book

Plane-wave expansion (332 words) [view diff] exact match in snippet view article find links to article

where θ is the spherical polar angle of r. With the spherical-harmonic addition theorem the equation can be rewritten as e i k ⋅ r = 4 π ∑ ℓ = 0 ∞ ∑ m = −

Elliptic integral (7,832 words) [view diff] exact match in snippet view article find links to article

The incomplete elliptic integral of the first kind has following addition theorem[citation needed]: F [ arctan ⁡ ( x ) , k ] + F [ arctan ⁡ ( y ) , k

Alexander Arhangelskii (1,129 words) [view diff] exact match in snippet view article find links to article

Atlantis Press. ISBN 978-90-78677-06-2. Arkhangel'skii, A.V. (1959). "An addition theorem for the weight of sets lying in bicompacta". Doklady Akademii Nauk

Hahn–Exton q-Bessel function (893 words) [view diff] exact match in snippet view article find links to article

1006/jmaa.1994.1327, S2CID 14382540 Swarttouw, René F. (1992), "An addition theorem and some product formulas for the Hahn-Exton q-Bessel functions", Canadian

Dynamic mechanical analysis (2,803 words) [view diff] exact match in snippet view article find links to article

}\omega G(s)\cos(\omega (t-s))ds} . Application of the trigonometric addition theorem cos ⁡ ( x ± y ) = cos ⁡ ( x ) cos ⁡ ( y ) ∓ sin ⁡ ( x ) sin ⁡ ( y )

Aether drag hypothesis (3,334 words) [view diff] exact match in snippet view article find links to article

relativity predicts the result of the Fizeau experiment from the velocity addition theorem without any need for an aether. If V {\displaystyle V} is the velocity

William Anthony Granville (703 words) [view diff] no match in snippet view article find links to article

dissertation was titled, "Referat on the Origin and Development of the Addition-Theorem in Elliptic Functions".[citation needed] He later graduated from Lafayette

Spherical multipole moments (2,235 words) [view diff] exact match in snippet view article find links to article

coordinates yields the important formula known as the spherical harmonic addition theorem P ℓ ( cos ⁡ γ ) = 4 π 2 ℓ + 1 ∑ m = − ℓ ℓ Y ℓ m ( θ , ϕ ) Y ℓ m ∗ (

Legendre polynomials (7,177 words) [view diff] exact match in snippet view article find links to article

found laboriously through the methods of analysis — for example the addition theorem — are more easily found using the methods of symmetry and group theory

Tests of relativistic energy and momentum (3,614 words) [view diff] exact match in snippet view article find links to article

understand the dynamics of particle decay, and the relativistic velocity addition theorem explains the distribution of synchrotron radiation. Regarding the relativistic

Sze-Tsen Hu (489 words) [view diff] exact match in snippet view article find links to article

1090/s0002-9947-1952-0053118-4. MR 0053118. Hu, Sze-Tsen (July 1953). "The homotopy addition theorem". Annals of Mathematics. 58 (1): 108–122. doi:10.2307/1969822. JSTOR 1969822

Angelescu polynomials (1,248 words) [view diff] exact match in snippet view article find links to article

polynomials[which?]. The Angelescu polynomials satisfy the following addition theorem: ( − 1 ) n ∑ r = 0 m L m + n − r ( n ) ( x ) π r ( y ) ( n + m − r

Hermite polynomials (12,144 words) [view diff] exact match in snippet view article find links to article

{2\pi }}}\int t^{n}\,e^{-t^{2}/2+ixt}\,dt.\end{aligned}}} The addition theorem, or the summation theorem, states that: 8.958 ( ∑ k = 1 r a k 2 )

Jacobi elliptic functions (13,097 words) [view diff] exact match in snippet view article find links to article

\end{aligned}}} The Jacobi epsilon and zn functions satisfy a quasi-addition theorem: E ( x + y , m ) = E ( x , m ) + E ( y , m ) − m sn ⁡ ( x , m ) sn

Herbert W. Jones (882 words) [view diff] exact match in snippet view article find links to article

Ahmed; Weatherford, Charles A.; Jones, Herbert W. (February 1999). "Addition theorem of Slater-type orbitals: Application to H 2 + in a strong magnetic

Vector spherical harmonics (5,424 words) [view diff] exact match in snippet view article find links to article

Russian], Nauka, Leningrad (1975) Zhang, Huayong; Han, Yiping (2008). "Addition theorem for the spherical vector wave functions and its application to the

Multipolar exchange interaction (3,758 words) [view diff] exact match in snippet view article find links to article

to form a new super basis that have different symmetries. Using the addition theorem of tensor operators, the product of a rank n tensor and a rank m tensor

Source field (9,512 words) [view diff] exact match in snippet view article find links to article

spacetime points x {\displaystyle x} and x ′ {\displaystyle x'} , the addition theorem of spherical harmonics states that x μ 1 ⋯ x μ ℓ Π μ 1 ⋯ μ ℓ ν 1 ⋯