title: Multi-inlet migration modeling for navigation channel management in Tabusintac Bay, Eastern Canada

authors: Leys, Vincent

subjects: Coastal management

abstract: In New Brunswick, Atlantic Canada, Tabusintac Bay’s multiple tidal inlets meander through narrow barrier islands and are prone to large storm-induced shifts, making navigation hazardous. A multi-evidence assessment comprised of air-photo analysis, field observations and modeling was undertaken to understand the system and recommend sustainable dredging strategies and/or engineering alternatives. The modeling relied on a combination of simple analytical methods for tidal inlet stability, and complex morphological modeling to project the evolution of the nearshore bathymetry. The study recommended reassigning dredging efforts to a new inlet projected to grow and have better stability. Observations two years after the initial modeling effort indicate that the morphological evolution is consistent with the simulation results, and allowed lowered maintenance dredging requirements. This study illustrates how such a multi-evidence assessment of complex coastal dynamics can concretely guide efforts to reduce maintenance dredging and improve safety at sea.

text: Multi-inlet migration modeling for navigation channel management in Tabusintac Bay, Eastern Canada In New Brunswick, Atlantic Canada, Tabusintac Bay’s multiple tidal inlets meander through narrow barrier islands and are prone to large storm-induced shifts, making navigation hazardous. A multi-evidence assessment comprised of air-photo analysis, field observations and modeling was undertaken to understand the system and recommend sustainable dredging strategies and/or engineering alternatives. The modeling relied on a combination of simple analytical methods for tidal inlet stability, and complex morphological modeling to project the evolution of the nearshore bathymetry. The study recommended reassigning dredging efforts to a new inlet projected to grow and have better stability. Observations two years after the initial modeling effort indicate that the morphological evolution is consistent with the simulation results, and allowed lowered maintenance dredging requirements. This study illustrates how such a multi-evidence assessment of complex coastal dynamics can concretely guide efforts to reduce maintenance dredging and improve safety at sea.

year: 2016

title: Multi-latin squares

authors: Cavenagh, Nicholas J.

subjects: latin square

abstract: A multi-latin square of order n and index k is an n×n array of multisets, each of cardinality k, such that each symbol from a fixed set of size n occurs k times in each row and k times in each column. A multi-latin square of index k is also referred to as a k-latin square. A 1-latin square is equivalent to a latin square, so a multi-latin square can be thought of as a generalization of a latin square.
In this note we show that any partially filled-in k-latin square of order m embeds in a k-latin square of order n, for each n≥2m, thus generalizing Evans’ Theorem. Exploiting this result, we show that there exist non-separable k-latin squares of order n for each n≥k+2. We also show that for each n≥1, there exists some finite value g(n) such that for all k≥g(n), every k-latin square of order n is separable.
We discuss the connection between k-latin squares and related combinatorial objects such as orthogonal arrays, latin parallelepipeds, semi-latin squares and k-latin trades. We also enumerate and classify k-latin squares of small orders.

text: Multi-latin squares A multi-latin square of order n and index k is an n×n array of multisets, each of cardinality k, such that each symbol from a fixed set of size n occurs k times in each row and k times in each column. A multi-latin square of index k is also referred to as a k-latin square. A 1-latin square is equivalent to a latin square, so a multi-latin square can be thought of as a generalization of a latin square.
In this note we show that any partially filled-in k-latin square of order m embeds in a k-latin square of order n, for each n≥2m, thus generalizing Evans’ Theorem. Exploiting this result, we show that there exist non-separable k-latin squares of order n for each n≥k+2. We also show that for each n≥1, there exists some finite value g(n) such that for all k≥g(n), every k-latin square of order n is separable.
We discuss the connection between k-latin squares and related combinatorial objects such as orthogonal arrays, latin parallelepipeds, semi-latin squares and k-latin trades. We also enumerate and classify k-latin squares of small orders.

year: 2010

title: Te Arawa – Kaitiaki of the Rotorua Te Arawa Lakes

authors: Curtis, Sir Toby

abstract: I start this morning by reciting what we call a patere talking about Te Arawa's interest and relationship to the lakes and the water. Matawhaura is our mountain on Lake Rotoiti. When I went to school in Auckland we travelled on the New Zealand Road Service
transport bus, returning for the holidays along the Mamaku ranges. Those that came from Lake Rotoiti always looked out to see the lake and the mountain Matawhaura. As soon as we saw it a little touch of emotion welled up in our hearts. Mataatua people living in Whakatane felt the same thing when they travelled back home, descending the Rotoma hill, they looked out for Putauaki (Mt Edgecumbe). It gave them the same feeling of emotion.

text: Te Arawa – Kaitiaki of the Rotorua Te Arawa Lakes I start this morning by reciting what we call a patere talking about Te Arawa's interest and relationship to the lakes and the water. Matawhaura is our mountain on Lake Rotoiti. When I went to school in Auckland we travelled on the New Zealand Road Service
transport bus, returning for the holidays along the Mamaku ranges. Those that came from Lake Rotoiti always looked out to see the lake and the mountain Matawhaura. As soon as we saw it a little touch of emotion welled up in our hearts. Mataatua people living in Whakatane felt the same thing when they travelled back home, descending the Rotoma hill, they looked out for Putauaki (Mt Edgecumbe). It gave them the same feeling of emotion.

year: 2017