In the calculus of variations the Legendre–Clebsch condition is a second-order condition which a solution of the Euler–Lagrange equation must satisfy in...

Rudolf Friedrich Alfred Clebsch (19 January 1833 – 7 November 1872) was a German mathematician who made important contributions to algebraic geometry...

Legendre–Clebsch condition Legendre–Fenchel transformation Legendre's conjecture Legendre's constant Legendre's differential equation Legendre's equation...

In physics, the Clebsch–Gordan (CG) coefficients are numbers that arise in angular momentum coupling in quantum mechanics. They appear as the expansion...

0,\,k=0,1,\cdots } Others refer to this condition as the generalized Legendre–Clebsch condition. The term bang-singular control refers to a control...

control problems with multiple optimal solutions Legendre–Clebsch condition — second-order condition for solution of optimal control problem Pseudospectral...

Newtonian potential for a point mass. Just prior to that time, Adrien-Marie Legendre had investigated the expansion of the Newtonian potential in powers of...

been written by Strauch (1849), Jellett (1850), Otto Hesse (1857), Alfred Clebsch (1858), and Lewis Buffett Carll (1885), but perhaps the most important...

evaluated just by computing or looking up Clebsch–Gordan coefficients. The selection rule m′ = q + m in the Clebsch–Gordan coefficient means that many of...

M-m_{A}\mid LM\rangle ,} where the quantity between pointed brackets is a Clebsch–Gordan coefficient. Further we used R ℓ m ( − r ) = ( − 1 ) ℓ R ℓ m ( r...