title: There are asymptotically the same number of Latin squares of each parity

authors: Cavenagh, Nicholas J.

subjects: Science & Technology

abstract: A Latin square is reduced if its first row and column are in natural order. For Latin squares of a particular order n there are four possible different parities. We confirm a conjecture of Stones and Wanless by showing asymptotic equality between the numbers of reduced Latin squares of each possible parity as the order n → ∞.

text: There are asymptotically the same number of Latin squares of each parity A Latin square is reduced if its first row and column are in natural order. For Latin squares of a particular order n there are four possible different parities. We confirm a conjecture of Stones and Wanless by showing asymptotic equality between the numbers of reduced Latin squares of each possible parity as the order n → ∞.

year: 2016

title: Diverse hypolithic refuge communities in the McMurdo Dry Valleys

authors: Cowan, Don A.

subjects: Antarctic

abstract: Hyper-arid deserts present extreme challenges to life. The environmental buffering provided by quartz and other translucent rocks allows hypolithic microbial communities to develop on sub-soil surfaces of such rocks. These refuge communities have been reported, for many locations worldwide, to be predominantly cyanobacterial in nature. Here we report the discovery in Antarctica’s hyper-arid McMurdo Dry Valleys of three clearly distinguishable types of hypolithic community. Based on gross colonization morphology and identification of dominant taxa, we have classified hypolithic communities as Type I (cyanobacterial dominated), Type II (fungal dominated) and Type III (moss dominated). This discovery supports a growing awareness of the high biocomplexity in Antarctic deserts, emphasizes the possible importance of cryptic microbial communities in nutrient cycling and provides evidence for possible successional community processes within a cold arid landscape.

text: Diverse hypolithic refuge communities in the McMurdo Dry Valleys Hyper-arid deserts present extreme challenges to life. The environmental buffering provided by quartz and other translucent rocks allows hypolithic microbial communities to develop on sub-soil surfaces of such rocks. These refuge communities have been reported, for many locations worldwide, to be predominantly cyanobacterial in nature. Here we report the discovery in Antarctica’s hyper-arid McMurdo Dry Valleys of three clearly distinguishable types of hypolithic community. Based on gross colonization morphology and identification of dominant taxa, we have classified hypolithic communities as Type I (cyanobacterial dominated), Type II (fungal dominated) and Type III (moss dominated). This discovery supports a growing awareness of the high biocomplexity in Antarctic deserts, emphasizes the possible importance of cryptic microbial communities in nutrient cycling and provides evidence for possible successional community processes within a cold arid landscape.

year: 2010

title: The presence of the past: Maori history in contemporary reflection

authors: Mahuika, Nepia

abstract: This is the opening line of a famous saying in my tribe. For our people - Ngāti Porou - these words have become embedded in our tribal identity as important directives that we are encouraged to aspire to. In the “days destined to you”, Ngata reminds us that each generation has its own mana (or authority), our own responsibilities and challenges, our own dreams and destinies to fulfil, and our own histories to tell about Ngāti Porou: who we are, our past, present, and future. If we consider this expectant, and I think hopeful, affirmation as a gift and responsibility, then taking real ownership of the “days destined to us” requires us to know what our forebears have entrusted us with. What are those historical gifts that we might use to “centre” and assert ourselves as Māori, as Ngāti Porou? We might look at this directly, i mua: the past before us because it is our history that is so crucial to us as we walk consciously, and with determination, into the future. Our past before us helps us to know where we are going, it helps us correc our course when we stray, keeps us mindful of the “kaupapa”: whatever that might be in our generation and corner of the Maori universe. We’ve heard already today from both Enoka and Arini how Māori, in our own ways, are engaging with our past, drawing on our korero tuku iho (our oral histories passed down across the generations), on our whakairo (our carving), to illuminate the many ways Māori do, and think about, the past.

text: The presence of the past: Maori history in contemporary reflection This is the opening line of a famous saying in my tribe. For our people - Ngāti Porou - these words have become embedded in our tribal identity as important directives that we are encouraged to aspire to. In the “days destined to you”, Ngata reminds us that each generation has its own mana (or authority), our own responsibilities and challenges, our own dreams and destinies to fulfil, and our own histories to tell about Ngāti Porou: who we are, our past, present, and future. If we consider this expectant, and I think hopeful, affirmation as a gift and responsibility, then taking real ownership of the “days destined to us” requires us to know what our forebears have entrusted us with. What are those historical gifts that we might use to “centre” and assert ourselves as Māori, as Ngāti Porou? We might look at this directly, i mua: the past before us because it is our history that is so crucial to us as we walk consciously, and with determination, into the future. Our past before us helps us to know where we are going, it helps us correc our course when we stray, keeps us mindful of the “kaupapa”: whatever that might be in our generation and corner of the Maori universe. We’ve heard already today from both Enoka and Arini how Māori, in our own ways, are engaging with our past, drawing on our korero tuku iho (our oral histories passed down across the generations), on our whakairo (our carving), to illuminate the many ways Māori do, and think about, the past.

year: 2016