Generalized Binomial Coefficients and the Subset–Subspace Problem
نویسندگان
چکیده
منابع مشابه
Generalized Levinson–durbin Sequences and Binomial Coefficients
Abstract The Levinson–Durbin recursion is used to construct the coefficients which define the minimum mean square error predictor of a new observation for a discrete time, second-order stationary stochastic process. As the sample size varies, the coefficients determine what is called a Levinson–Durbin sequence. A generalized Levinson– Durbin sequence is also defined, and we note that binomial c...
متن کاملGeneralized Factorial Functions and Binomial Coefficients
Let S ⊆ Z. The generalized factorial function for S, denoted n!S , is introduced in accordance with theory already established by Bhargava ([4]). Along with several known theorems about these functions, a number of other issues will be explored. This Thesis is divided into 4 chapters. Chapter 1 provides the necessary definitions and offers a connection between the generalized factorial function...
متن کاملGeneralized Binomial Coefficients for Molecular Species
Let be a complex variable. We associate a polynomial in , denoted M N , to any two molecular species M = M (X) and N = N (X) by means of a binomial-type expansion of the form
متن کاملGeneralized Levinson-Durbin sequences, binomial coefficients and autoregressive estimation
For { t y } a discrete time, second-order stationary process, the Levinson-Durbin recursion is used to determine the coefficients , jk α j=1, … , k, of the best linear predictor of 1 + k y , , ˆ 1 1 1 y y y kk k k k α α − − − = + L best in the sense of minimizing the mean square error. The coefficients jk α determine a Levinson-Durbin sequence. A generalized Levinson-Durbin sequence, a special ...
متن کاملBinomial Coefficients Generalized with Respect to a Discrete Valuation
One objective of this paper is to show an analogue of this result for a certain generalization of the binomial coefficients that arises naturally in the study of integer-valued polynomials. Recall that a polynomial with coefficients in the quotient field K of an integral domain D is called integer-valued if f(d) ∈ D for all d ∈ D. The starting point of this generalization is the following well ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1998
ISSN: 0196-8858
DOI: 10.1006/aama.1998.0598