The purpose of the present paper is twofold: to introduce the notion of a generalized flag in an infinite dimensional vector space V (extending the notion of a flag of subspaces in a vector space), and to give a geometric realization of homogeneous spaces of the ind–groups SL(∞), SO(∞) and Sp(∞) in terms of generalized flags. Generalized flags in V are chains of subspaces which in general canno...

We investigate the field theory of strings having as a target space an arbitrary discrete one-dimensional manifold. The existence of the continuum limit is guaranteed if the target space is a Dynkin diagram of a simply laced Lie algebra or its affine extension. In this case the theory can be mapped onto the theory of strings embedded in the infinite discrete line ZZ which is the target space of...

Ivan Daskalov [1933–2004] was a friend who will be missed by many. Neither the quality of a man nor the concept of a friendship can be defined with words. We may only say that both will be missed. Friendship is a unique human relationship. It is a mutual freely consensual activity between two people. Each friendship is different and inexplicable, and based on its own particulars. When you lose ...

Today most cooking projects start off by consulting the Internet for recipes. A quick search for “chocolate chip muffins” returns a multitude of different recipes, and typically, we would look though the top rated ones and try to decide which one “looks best”. We would go down the ingredients list, make a few substitutions, depending on what’s left in the fridge, and maybe scale down the recipe...

Multimodal user interfaces are becoming more and more important in humann machine communication. Essential representatives of such interfaces are virtual agents that aim to act like humans in the way they employ gestures, facial expression, posture and prosody to convey their emotions in face-to-face communication. Furthermore, if we employ a presentation team [1] to convey facts, the performan...