On an identity by Chaundy and Bullard. I

On an identity by Chaundy and Bullard. II. More history

An identity by Chaundy and Bullard writes 1/(1− x)n (n = 1,2, . . .) as a sum of two truncated binomial series. In a paper which appeared in 2008 in Indag. Math. the authors surveyed many aspects of this identity. In the present paper we discuss much earlier occurrences of this identity in works by Hering (1868), de Moivre (1738) and de Montmort (1713). A relationship with Krawtchouk polynomial...

Our Sense of Identity: “Who am I?” Gender and Cultural Studies

Identity is seen as a cultural and social construct, which indicates how we have been embodied and how we might represent ourselves. The knowledge that identities are the outputs of discourses is a familiar characteristic of some societal concepts. Gender, as an identity or a sense of our identity we build for ourselves, rather than something we are born with, is a constructed cultural category...

Genre Shift and Identity Maintenance – An Analysis of Iranian War Film Genres (1980-2013) with Niklas Luhmann’s Social Systems Theory

A close observation of Iran-Iraq war films in the Iranian society reveals that their genres have shifted in the course of the society’s evolution. This questions the category-based principles of genre we have known so far in literature concerning film theory and necessitates a new conceptualization of genre, which can be realized with the aid of Niklas Luhmann’s social systems theory. This theo...

Hereditary properties of amenability modulo an ideal of Banach algebras

In this paper we investigate some hereditary properties of amenability modulo an ideal of Banach algebras. We show that if $(e_alpha)_alpha$ is a bounded approximate identity modulo I of a Banach algebra A and X is a neo-unital modulo I, then $(e_alpha)_alpha$ is a bounded approximate identity for X. Moreover we show that amenability modulo an ideal of a Banach algebra A can be only considered ...

Identity and Foreign Policy