Compositionally graded cylinders comprising FeCo-2V, a soft magnetic alloy, and 316L stainless steel, were produced by directed energy deposition incorporating two different gradient lengths. Five distinct regions in the microstructure observed both as-printed annealed gradients. When normalized for length, gradients showed similar grain size microhardness profiles. In tensile tests, samples fa...

There exists a balanced ternary design with block size 3 and index 2 on 2v P2 + 4 and 2v P2 + 1 elements with a hole of size v, for all positive integers v and P2, such that v ~ 2P2 + 1. As an application of this result, we determine the numbers of common triples in two simple balanced ternary designs with block size 3 and index 2, for P2 = 3 and 4.

C. Sousa 1F. Luz 2M.M. Fonseca 3P. Neves 2P. Lopes 2V. Maratou4R. Chaliampalias4A. Kameas4Y. Abdullahi5S. Rye5

Given a graph G and a positive integer r, let sr(G)=P(G; r)=r!. Thus (G)=r and sr(G)=1 i G is uniquely r-colourable. It is known that if G is uniquely 3-colourable, then e(G)¿2v(G)−3. In this paper, we show that if G is a 3-colourable connected graph with e(G)=2v(G)−k where k¿4, then s3(G)¿2k−3; and if, further, G is 2-connected and s3(G)=2k−3, then t(G)6v(G)−k where t(G) denotes the number of ...

We present 2V-DBP-SNAP, an algorithm that allow hard real-time tasks in an embedded real-time control system to read a snapshot of a number of data elements in a real-time database. Furthermore, 2V-DBP-SNAP allows these data elements to be shared with soft real-time tasks, which access them using a database query language, and with other hard real-time tasks that use database pointers. 2V-DBP-S...

Using a result of Kari and Ollinger, we prove that the torsion problem for elements of the Brin-Thompson group 2V is undecidable. As a result, we show that there does not exist an algorithm to determine whether an element of the rational group R of Grigorchuk, Nekrashevich, and Sushchanskii has finite order. A modification of the construction gives other undecidability results about the dynamic...

High frequency subthalamic nucleus (STN) deep brain stimulation (DBS) improves the cardinal motor signs of Parkinson's disease (PD) and attenuates STN alpha/beta band neural synchrony in a voltage-dependent manner. While there is a growing interest in the behavioral effects of lower frequency (60 Hz) DBS, little is known about its effect on STN neural synchrony. Here we demonstrate for the firs...