Abstract This paper proposes a professional English translation corpus based on the binomial theorem coefficients. combines with vector space model to analyze similarity between machine and human in translation. The study results show that both can experience inaccuracies. is more objective accurate. established by this method help us solve problem of terminology research has specific reference...

Binomial filters are simple and efficient structures based on the binomial coefficients for implementing Gaussian filtering. They do not require multipliers and can therefore be implemented efficiently in programmable hardware. There are many possible variations of the basic binomial filter structure, and they provide a wide range of space-time trade-offs; a number of these designs have been ca...

Some properties of diagonal binomial coefficients were studied in respect to frequency of their units digits. An approach was formulated that led to use of difference tables to predict if certain units digits can appear in the values of binomial coefficients at quadratic terms of the binomial theorem. Frequency distributions of units digits of binomial coefficients contain gaps (zero frequency)...

— In Section 1 we define and study Schubert unions on l-step flag varieties. This has previously been done in the Grassmann case, i.e., the l = 1 case, by Hansen, Johnsen and Ranestad [7]. In Section 2 we study the algebraic codes given by mapping l-step flag varieties into projective space. This subject has also been treated in the Grassmann case previously (see p. 52). Résumé (Unions de cellu...

In this note, we present combinatorial proofs of some Moriarty-type binomial coefficient identities using linear and circular domino arrangements.