recursion relationの例文

• Ming Antu pioneered the use of recursion relations in Chinese mathematics
• This recursion relation for the matrix elements closely resembles that of the Clebsch-Gordan coefficient.
• From the formal definition of angular momentum, recursion relations for the Clebsch Gordan coefficients can be found.
• Say I have an infinite number of such series, I suspect there all given by closely related recursion relations.
• Neville's algorithm is based on the Newton form of the interpolating polynomial and the recursion relation for the divided differences.
• Using twistor theory, BCFW recursion relations involved in the scattering process may be represented as a small number of twistor diagrams.
• This recursion relation allows, in principle, the iterative calculation of the corner transfer matrix for any lattice quadrant of finite size.
• To get all of them for the expansions up to, one can use ( in addition to the basic cases already given ) the recursion relation
• In Bertrand's original paper, he sketches a proof based on a general formula for the number of favourable sequences using a recursion relation.
• Say I have a series ( which I know only numerically ), and I suspect its given by a ( probably simple ) recursion relation.
• The lower sign in the recursion relation can be used to find all the Clebsch Gordan coefficients with " J "  " 1 } }.
• By choosing a given axis of the lattice and summing over cross-sections for the allowed range of distances along the chosen axis the recursion relation below can be derived
• The conjecture was first proved independently by and . later found a short proof, by observing that the Laurent polynomials, and therefore their constant terms, satisfy the recursion relations
• Its value can be described using a recursion relation or using generating functions, but unlike binomial coefficients there is no closed formula for these numbers that does not involve a summation.
• For the special case of the Brenke polynomials, one has g ( w ) = w and thus all of the b _ n = 0, simplifying the recursion relation significantly.
• Cummins and Gannon showed that the recursion relations automatically imply the McKay Thompson series are either Hauptmoduln or terminate after at most 3 terms, thus eliminating the need for computation at the last step.
• The recursion relations can be resolved in many different ways, each giving rise to a different representation, with the final amplitude expressed as a sum of on-shell processes in different ways as well.
• Earlier in his career he worked in mathematical population genetics where, in collaboration with Wing Ma and Guido Sandri, he was responsible for the standard recursion relation to compute the Luria-Delbruck distribution in bacterial genetics.
• Together with Ruth Britto, Bo Feng and Edward Witten, he introduced the recursion relations for the computation of scattering amplitudes, which opened a new window for computations required at particle accelerators, such as the Large Hadron Collider.
• In other words, the partition function per site is given exactly by the diagonalised recursion relation for corner transfer matrices in the thermodynamic limit; this allows " ? " to be approximated via the iterative process of calculating " A " " d " for a large lattice.