title: E kore koe e ngaro e tōku reo rangatira

authors: Puke, Te Manawanui

subjects: Reo Māori

abstract: Ka whakapeto ngoi ahau ki te wānanga i ngā tini āhuatanga e kōhuru nei, he patu kino nei, e panoni haere nei, e whakamate nei i tōku reo rangatira! E kaha tōmina nei kia kore rawa ai ia e ngaro. Nā reira, ka tīkina te matū o tēnei kaupapa, ka takitaki haere ai mei kore noa e tūpono ka hīnātore mai he māramatanga, he ihumaneatanga i ēnei kōrero āku.

text: E kore koe e ngaro e tōku reo rangatira Ka whakapeto ngoi ahau ki te wānanga i ngā tini āhuatanga e kōhuru nei, he patu kino nei, e panoni haere nei, e whakamate nei i tōku reo rangatira! E kaha tōmina nei kia kore rawa ai ia e ngaro. Nā reira, ka tīkina te matū o tēnei kaupapa, ka takitaki haere ai mei kore noa e tūpono ka hīnātore mai he māramatanga, he ihumaneatanga i ēnei kōrero āku.

year: 2016

title: Systemic racism and oppression in psychology: Voices from psychologists, academic staff, and students

authors: Waitoki, Waikaremoana

subjects: psychology

abstract: Psychology must reassess its training approach, as the current monocultural paradigm not only causes harm, but also fails to equip psychologists with the knowledge needed to provide culturally appropriate care for Māori, Pacific, Asian, and other minoritised groups. Findings from this report contribute to the growing evidence of the urgent need to address barriers preventing Māori, Pacific, Asian, and other minoritised groups from participating effectively in professional psychology programmes. This 
report calls for action for everyone in psychology to embrace the changes needed to improve the cultural safety of the discipline and hold ourselves accountable for supporting the development of Te Tiriti-aligned psychology.

text: Systemic racism and oppression in psychology: Voices from psychologists, academic staff, and students Psychology must reassess its training approach, as the current monocultural paradigm not only causes harm, but also fails to equip psychologists with the knowledge needed to provide culturally appropriate care for Māori, Pacific, Asian, and other minoritised groups. Findings from this report contribute to the growing evidence of the urgent need to address barriers preventing Māori, Pacific, Asian, and other minoritised groups from participating effectively in professional psychology programmes. This 
report calls for action for everyone in psychology to embrace the changes needed to improve the cultural safety of the discipline and hold ourselves accountable for supporting the development of Te Tiriti-aligned psychology.

year: 2024

title: Critical sets of full Latin squares

authors: Raass, Petelo Vaipuna

abstract: This thesis explores the properties of critical sets of the full n-Latin square and related combinatorial structures including full designs, (m,n,2)-balanced Latin rectangles and n-Latin cubes.

In Chapter 3 we study known results on designs and the analogies between critical sets of the full n-Latin square and minimal defining sets of the full designs.

Next in Chapter 4 we fully classify the critical sets of the full (m,n,2)-balanced Latin square, by describing the precise structures of these critical sets from the smallest to the largest.

Properties of different types of critical sets of the full n-Latin square are investigated in Chapter 5. We fully classify the structure of any saturated critical set of the full n-Latin square. We show in Theorem 5.8 that such a critical set has size exactly equal to n³ - 2n² - n. In Section 5.2 we give a construction which provides an upper bound for the size of the smallest critical set of the full n-Latin square. Similarly in Section 5.4, another construction gives a lower bound for the size of the largest non-saturated critical set. We conjecture that these bounds are best possible.

Using the results from Chapter 5, we obtain spectrum results on critical sets of the full n-Latin square in Chapter 6. In particular, we show that a critical set of each size between (n - 1)³ + 1 and n(n - 1)² + n - 2 exists.

In Chapter 7, we turn our focus to the completability of partial k-Latin squares. The relationship between partial k-Latin squares and semi-k-Latin squares is used to show that any partial k-Latin square of order n with at most (n - 1) non-empty cells is completable.

As Latin cubes generalize Latin squares, we attempt to generalize some of the results we have established on k-Latin squares so that they apply to k-Latin cubes. These results are presented in Chapter 8.

text: Critical sets of full Latin squares This thesis explores the properties of critical sets of the full n-Latin square and related combinatorial structures including full designs, (m,n,2)-balanced Latin rectangles and n-Latin cubes.

In Chapter 3 we study known results on designs and the analogies between critical sets of the full n-Latin square and minimal defining sets of the full designs.

Next in Chapter 4 we fully classify the critical sets of the full (m,n,2)-balanced Latin square, by describing the precise structures of these critical sets from the smallest to the largest.

Properties of different types of critical sets of the full n-Latin square are investigated in Chapter 5. We fully classify the structure of any saturated critical set of the full n-Latin square. We show in Theorem 5.8 that such a critical set has size exactly equal to n³ - 2n² - n. In Section 5.2 we give a construction which provides an upper bound for the size of the smallest critical set of the full n-Latin square. Similarly in Section 5.4, another construction gives a lower bound for the size of the largest non-saturated critical set. We conjecture that these bounds are best possible.

Using the results from Chapter 5, we obtain spectrum results on critical sets of the full n-Latin square in Chapter 6. In particular, we show that a critical set of each size between (n - 1)³ + 1 and n(n - 1)² + n - 2 exists.

In Chapter 7, we turn our focus to the completability of partial k-Latin squares. The relationship between partial k-Latin squares and semi-k-Latin squares is used to show that any partial k-Latin square of order n with at most (n - 1) non-empty cells is completable.

As Latin cubes generalize Latin squares, we attempt to generalize some of the results we have established on k-Latin squares so that they apply to k-Latin cubes. These results are presented in Chapter 8.

year: 2016