One way of improving efficiency of Gentry’s fully homomorphic encryption from ideal lattices is controlling the number of operations, but our recollection is that any scheme which controls the bound has not proposed. In this paper, we propose a key generation algorithm for Gentry’s scheme that controls the bound of the circuit depth by using the relation between the circuit depth and the eigenv...

previous studies involving the ideal observer, the task considered has been that detection where it is assumed that there is complete a priori knowledge of the and of the possible object's shape, amplitude, and position. It is shown that the detection task to include the possibility of an unknown, slowly varying back._ _ ground reduces the importance of the low-frequency components in the image...

The object people perceive in an image can depend on its orientation relative to the scene it is in (its reference frame). For example, the images of the symbols × and + differ by a 45 degree rotation. Although real scenes have multiple images and reference frames, psychologists have focused on scenes with only one reference frame. We propose an ideal observer model based on nonparametric Bayes...

We study a citizen-candidate-entry model with private information about ideal points. We fully characterize the unique symmetric equilibrium of the entry game and show that only relatively “extreme” citizen types enter the electoral competition as candidates, whereas more “moderate” types never enter. It generally leads to substantial political polarization, even when the electorate is not pola...

Over the past 35 years, multiple types of all-ceramic materials have been introduced as an ideal alternative for metal-fused to ceramic. This review covers state-of-the-art development of all-ceramic systems in terms of history, material composition, fabrication technologies, and structural and strength properties. These materials are proved to be ideal in terms of mechanical properties and bio...

the main objective of this study is to swing krull intersection theorem in primary decomposition of rings and modules to the primary decomposition of soft rings and soft modules. to fulfill this aim several notions like soft prime ideals, soft maximal ideals, soft primary ideals, and soft radical ideals are introduced for a soft ring over a given unitary commutative ring. consequently, the p...

let r be a commutative ring with identity. let n and k be two submodules of a multiplication r-module m. thenn=im and k=jm for some ideals i and j of r. the product of n and k denoted by nk is defined by nk=ijm. inthis paper we characterize some particular cases of multiplication modules by using the product of submodules.

In this paper, we show how to extend the Petri net formalism to represent diierent types of behavior, in particular normative behavior. This extension is motivated by the use of Petri nets to model bureaucratic procedures, which contain normative aspects like obligations and permissions. We propose to extend Petri nets with a preference relation, a well-known mechanism from deontic logic to dis...