The number of multiplications has been used as a key metrics for comparing FFT algorithms since it has a large impact on the execution time and total power consumption. In this paper, we present a 16-point FFT Butterfly PE, which reduces the multiplicative complexity by using real, constant multiplications. A 1024-point FFT processor has been implemented using 16-point and 4-point Butterfly PEs...

Reliability and efficiency are important criteria in the design of interconnection networks. Recently, the w-wide diameter d,(G), the (W 1 )-fault diameter D,,(G), and the w-Rabin number r,(G) have been used to measure network reliability and efficiency. In this paper, we study these parameters for an important class of parallel networks Butterfly networks. The main result of this paper is to d...

The Woodland Brown butterfly Lopinga achine (Scopoli, 1763) was found during several fieldtrips in summer 2000 and 2001 in continental Croatia and discovered for the first time in Istria. The discovery in Istria represents the western limit of the distribution range in Croatia. The Woodland Brown is considered rare in Croatia, according to previous findings. In this paper we discuss the distrib...

Albulina orbitulus lobbichleri Forster, 1961 is a rare butterfly subspecies endemic of Nepal. This has been recorded for the first time living at highest elevation 4,815 m from Himalayan region Mustang in West note updates information on change altitudinal preference this butterfly.

The title compound, C(13)H(12)O(2)S(2), belonging to the group of dioxoketene cyclic S,S-acetals, was prepared from the corresponding dione in high yield. In the structure, the C=O and C=C bonds are not coplanar, with O=C-C=C torsion angles of -36.8 (4) and -21.0 (4)°. The dithian ring has a twisted conformation.

We address the question whether the properties of the observed latitude-time diagram of sunspot occurence (the butterfly diagram) provide evidence for the operation of a flux-transport dynamo, which explains the migration of the sunspot zones and the period of the solar cycle in terms of a deep equatorward meridional flow. We show that the properties of the butterfly diagram are equally well re...

We complete a certain diagram (the operadic butterfly) of categories of algebras involving Com, As, and Lie by constructing a type of algebras which have 4 generating operations and 16 relations. The associated operad is self-dual for Koszul duality.

The repeated introduction of an a-dione unit and its reaction with an arene-1,2-diamine allows the stepwise annulation of all four pyrrolic rings of a porphyrin, as is demonstrated by the synthesis of a trisquinoxalinoporphyrin, a tetrakisquinoxalinoporphyrin and the more elaborated bisporphyrin.

We introduce a method of decomposing the family of intervals along a cyclic permutation into chains to determine the size of the largest family of subsets of [n] not containing one or more given posets as a subposet. De Bonis, Katona and Swanepoel determined the size of the largest butterfly-free family. We strengthen this result by showing that, for certain posets containing the butterfly pose...