| 41. | This can be approached directly or using generating functions ( formal power series ) or matrices.
|
| 42. | The theorem can be given a unrestricted partition functions discusses this type of generating function .)
|
| 43. | One of the most well-known of these, the generating function for Legendre polynomials,
|
| 44. | The generating function for this distribution is
|
| 45. | Often the manipulation of integrals can be avoided by use of some type of generating function.
|
| 46. | Manipulations of these functions are done in essentially the same way as for the exponential generating functions.
|
| 47. | The Poincar?polynomial of a surface is defined to be the generating function of its Betti numbers.
|
| 48. | A structural equation between combinatorial classes thus translates directly into an equation in the corresponding generating functions.
|
| 49. | The Tweedie distribution most applicable to ecological observations is the cumulant generating function ( CGF ) is:
|
| 50. | :I got an inkling that generating functions might help solve the problem analytically in this case.
|
