In this paper, we show that in each nite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a nite dimensional Hilbert space has frameness bound.

in this paper, we show that in each nite dimensional hilbert space, a frame of subspaces is an ultra bessel sequence of subspaces. we also show that every frame of subspaces in a nite dimensional hilbert space has frameness bound.

the aim of this study was to investigate the effect of the addition of commercial lipase in various forms on the acceleration of the ripening of uf-feta cheese. commercial lipase from aspergillus niger was encapsulated by using silica composition based on sol-gel method. lipase was then added to cheeses in three forms, namely, free lipase, encapsulated lipase, and encapsulated lipase with arabi...

rupture and wrinkling are two prevalent phenomena that happen in hydro-forming process. many efforts have been made to achieve the upper and lower bounds for the pressure related to rupture and wrinkling of sheet, respectively. the aim of this investigation is to improve the upper bound of fluid pressure in hydro-forming process by hemispherical punch. in this article, analytical study of the u...

the aim of this study was to investigate the effect of the addition of commercial lipase in various forms on the acceleration of the ripening of uf-feta cheese. commercial lipase from aspergillus niger was encapsulated by using silica composition based on sol-gel method. lipase was then added to cheeses in three forms, namely, free lipase, encapsulated lipase, and encapsulated lipase with arabi...

abstract zinc (zn) is an essential plant nutrient. knowledge about distribution of zn between its different chemical forms is useful in understanding the chemistry of this element in soil and also in development of soil testing procedures. the present study was conducted to obtain such information about distribution of zinc forms in 20 soil samples of lorestan province by the use of a sequentia...