On the degree of regularity of generalized van der Waerden triples

Let $1 \leq a \leq b$ be integers. A triple of the form $(x,ax+d,bx+2d)$, where $x,d$ are positive integers is called an {\em (a,b)-triple}. The {\em degree of regularity} of the family of all $(a,b)$-triples, denoted dor($a,b)$, is the maximum integer $r$ such that every $r$-coloring of $\mathbb{N}$ admits a monochromatic $(a,b)$-triple. We settle, in the affirmative, the conjecture that dor$(a,b) < \infty$ for all $(a,b) \neq (1,1)$. We also disprove the conjecture that dor($a,b) \in \{1,2,\infty\}$ for all $(a,b)$.Comment: 5 page

Beyond the Black Horizon

Although U.S. colleges and universities continue to discuss creative ways to increase the number of African American collegians participating in study abroad, this research is limited when revealing the unique perspectives of African American collegians who have studied abroad. Traditionally an emphasis on program success has been placed on the quantity of study abroad participants rather than the quality of African American student support and engagement; the personal reflections through the lens of African American race and identity are often overlooked. A series of culturally responsive, guided interviews were conducted with African American collegians from a variety of institutions across the United States, to learn their perspectives on their study abroad experiences. This research reveals that culturally responsive mentoring and guidance are valuable in helping African American collegians deconstruct or make sense out of their study abroad experiences, both during and upon reentry. Also, African American collegians use the method of finding home abroad as an important coping tool for support, social adjustment, and cultural validation. Combined, these findings suggest that African American collegians who have studied abroad benefit from culturally guided reflection and learning experiences in which their race and identity are taken into consideration

When does risk outweigh reward? Identifying potential scoring strategies with netball’s new two-point rule

Changing rules to promote scoring through more &lsquo;high-risk&rsquo; play has become common in team sports. Australia&rsquo;s national netball league (i.e. Suncorp Super Netball) has recently taken this approach&ndash;introducing a two-point shooting rule. Teams will be awarded two-points for shots made from an &lsquo;outer circle&rsquo; 3.0m-4.9m from the goal in the final five minutes of quarters. We sought to answer a series of questions regarding the implementation and potential strategies surrounding the two-point rule in Suncorp Super Netball. We used video coded data from the 2018 Suncorp Super Netball season to identify the total number of made and missed shots from different distances across the season. We also used shooting statistics from recent Fast5 Netball World Series (a competition with a two-point shooting rule already in place) as a comparator. The reward of two-points is relatively well-aligned to the relative risk of missing shots from the proposed outer versus inner circle (2.22 [1.98, 2.48 95% CIs]) based on existing shooting data from Suncorp Super Netball teams. We found that the relative risk of missing shots from &lsquo;long-&rsquo; (i.e. 3.5m-4.0m) versus &lsquo;mid-range&rsquo; (i.e. 3.0&ndash;3.5m) was only slightly elevated (1.52 [1.21, 1.86 95% CIs])&ndash;suggesting teams should favour long- over mid-range shots when the two-point shot is available. Based on the typical number of shots a team receives in a five-minute period, we found that teams may be able to score ~3.51 extra points per quarter when taking all versus no-shots from the two-point outer circle. Analysis of the Fast5 versus Suncorp Super Netball data did, however, reveal that shooting accuracy from long-range may decrease when a two-point shot is available. Teams may need to consider situational factors (e.g. altered opposition defensive strategies) when developing their shooting strategy for taking advantage of the two-point shot

Resistance to Bt Corn by Western Corn Rootworm (Coleoptera: Chrysomelidae) in the U.S. Corn Belt

Transgenic Bt corn hybrids that produce insecticidal proteins from the bacterium Bacillus thuringiensis Berliner have become the standard insect management tactic across the U.S. Corn Belt. Widespread planting of Bt corn places intense selection pressure on target insects to develop resistance, and evolution of resistance threatens to erode benefits associated with Bt corn, such as reduced reliance on conventional insecticides. Recognizing the threat of resistance, the U.S. Environmental Protection Agency requires seed companies to include an insect resistance management (IRM) plan when registering a Bt trait. The goal of IRM plans is to delay Bt resistance in populations of target insects. One element of IRM is the presence of a non-Bt refuge to maintain Bt-susceptible individuals within a population, and growers are required to implement IRM on-farm by planting a refuge. Field-evolved resistance has not been detected for the European corn borer, Ostrinia nubilalis (Hubner), even though this species has been exposed to Bt proteins common in U.S. corn hybrids since 1996. The IRM situation is unfolding differently for Bt corn targeting the western corn rootworm, Diabrotica virgifera virgifera LeConte. In this article, we examine the scientific evidence for D. v. virgifera resistance to Bt rootworm traits and the cropping system practices that have contributed to the first reports of field-evolved resistance to a Bt toxin by D. v. virgifera. We explain why this issue has developed, and emphasize the necessity of an integrated pest management approach to address the issue

The Art of Leasing Negotiation in a Frenzied Environment

Let’s face it. The farm economy across much of Nebraska has literally been turned upside down in the past few months by the “Ethanol Gold Rush.” Demand for corn has shot corn prices upward beyond $3.00 per bushel, when only a year earlier the harvest prices hovered around$1.50. Many expect these new price levels to hold, at least for the 2007 crop season