The agony of truth: martyrdom, violence, and Christian ways of knowing

Paper presented at the conf Faith, freedom and the academy: the idea of the university in the 21st century, Univ of Prince Edward Island, O 1-3 2004

What is the smallest prime?

What is the first prime? It seems that the number two should be the obvious answer, and today it is, but it was not always so. There were times when and mathematicians for whom the numbers one and three were acceptable answers. To find the first prime, we must also know what the first positive integer is. Surprisingly, with the definitions used at various times throughout history, one was often not the first positive integer (some started with two, and a few with three). In this article, we survey the history of the primality of one, from the ancient Greeks to modern times. We will discuss some of the reasons definitions changed, and provide several examples. We will also discuss the last significant mathematicians to list the number one as prime.Comment: 11 pages, 5 figure

Linear Precoding in Cooperative MIMO Cellular Networks with Limited Coordination Clusters

In a cooperative multiple-antenna downlink cellular network, maximization of a concave function of user rates is considered. A new linear precoding technique called soft interference nulling (SIN) is proposed, which performs at least as well as zero-forcing (ZF) beamforming. All base stations share channel state information, but each user's message is only routed to those that participate in the user's coordination cluster. SIN precoding is particularly useful when clusters of limited sizes overlap in the network, in which case traditional techniques such as dirty paper coding or ZF do not directly apply. The SIN precoder is computed by solving a sequence of convex optimization problems. SIN under partial network coordination can outperform ZF under full network coordination at moderate SNRs. Under overlapping coordination clusters, SIN precoding achieves considerably higher throughput compared to myopic ZF, especially when the clusters are large.Comment: 13 pages, 5 figure

Learning science and technology through cooperative education.

Cooperative education, a form of experiential or work‐integrated learning is common in tertiary educational institutions worldwide. However, in New Zealand few institutions provide work‐integrated learning programs in science or technology, and the management and process of work‐integrated learning programs is not that well understood. How well do such programs work? What infrastructure is needed to ensure learning actually occurs? Are graduates of work‐integrated learning programs able to satisfy employer needs? This chapter synthesizes decades of work around such issues, and details research initiatives that provide valuable insights into how students learn science on in the workplace, how their skill development matches that desired by employers, and best practice for management of work‐integrated learning in science and engineering (Asia‐Pacific Journal of Cooperative Education, 2007, 8(2), 131‐147)

Effect of a 6-week yoga intervention on swing mechanics during the golf swing:a feasibility study

Recent evidence suggests that participating in physical conditioning programmes can improve golf performance, however, the effectiveness of a yoga intervention has yet to be investigated. The aim of the current study was to investigate the effectiveness of a six-week yoga intervention on golf swing mechanics. Ten male golfers participated in the laboratory-based-study. Golf swing mechanics were collected from two testing sessions, before and after the six-week yoga intervention, using the Vicon motion capture system. Following the six-week yoga intervention, significant changes were observed between the yoga and control group in X-Factor (P ≤ 0.05) and a medium effect (d ≥ 0.50) observed. No significant changes (P > 0.05) and no effect (d < 0.20) were observed in the X-Factor stretch. Significant changes (P ≤ 0.05) and a medium effect (d > 0.50) were observed for the pelvis rotations following the yoga intervention, however, no differences were observed in torso rotations or hand velocities (P > 0.05). The findings of this feasibility study suggest that yoga may be a promising intervention in helping to improve golf swing mechanics, however, future research is required to confirm the effect of the use of yoga during the golf swing due to the sample size

The Impact of CSI and Power Allocation on Relay Channel Capacity and Cooperation Strategies

Capacity gains from transmitter and receiver cooperation are compared in a relay network where the cooperating nodes are close together. Under quasi-static phase fading, when all nodes have equal average transmit power along with full channel state information (CSI), it is shown that transmitter cooperation outperforms receiver cooperation, whereas the opposite is true when power is optimally allocated among the cooperating nodes but only CSI at the receiver (CSIR) is available. When the nodes have equal power with CSIR only, cooperative schemes are shown to offer no capacity improvement over non-cooperation under the same network power constraint. When the system is under optimal power allocation with full CSI, the decode-and-forward transmitter cooperation rate is close to its cut-set capacity upper bound, and outperforms compress-and-forward receiver cooperation. Under fast Rayleigh fading in the high SNR regime, similar conclusions follow. Cooperative systems provide resilience to fading in channel magnitudes; however, capacity becomes more sensitive to power allocation, and the cooperating nodes need to be closer together for the decode-and-forward scheme to be capacity-achieving. Moreover, to realize capacity improvement, full CSI is necessary in transmitter cooperation, while in receiver cooperation optimal power allocation is essential.Comment: Accepted for publication in IEEE Transactions on Wireless Communication