title: Characterizing the sum of two cubes

authors: Broughan, Kevin A.

subjects: sum of two cubes

abstract: An intrinsic characterization of positive integers which can be represented as the sum or difference of two cubes is given. Every integer has a smallest multiple with is a sum of two cubes and such that the multiple, in the form of an iterated function of the integer, is eventually periodic with period one or two. The representation of any integer as the sum of two cubes to a fixed modulus is always possible if and only if the modulus is not divisible by 7 or 9.

text: Characterizing the sum of two cubes An intrinsic characterization of positive integers which can be represented as the sum or difference of two cubes is given. Every integer has a smallest multiple with is a sum of two cubes and such that the multiple, in the form of an iterated function of the integer, is eventually periodic with period one or two. The representation of any integer as the sum of two cubes to a fixed modulus is always possible if and only if the modulus is not divisible by 7 or 9.

year: 2003

title: Using object biography metadata to create artefact interactions outside memory institutions

authors: Zhao, Can

subjects: Object biography

abstract: Artefacts are primarily experienced inside museums, and those with insufficient display and interpretation can be isolated and ignored. Mobile devices potentially allow the artefact interaction touchpoints to be moved into the wider environment beyond the physical boundaries of memory institutions. To achieve these interactions, one approach is to modify metadata from a typical descriptive catalogue entry to be object biography-centric. This thesis explores this opportunity and presents the creation of novel artefact-centric interactions outside museums embodied by a proof-of-concept mobile application prototype. 
We performed four studies to acquire object biography metadata, design and evaluate the interactions with biography-enhanced artefacts. Study one explored the potential contributions that the biographical approach can make in documenting artefacts. Study two acquired object biography metadata in a selection of places and conceptualised the metadata fields. Study three extracted five sets of sample metadata from the collection of a local museum. The final study was the design and user evaluation of the prototype, which indicated that the implementation supported the novelty and effectiveness of object biography-centric interactions. 
The current descriptive metadata of objects are not generally reusable for context-aware applications. Interactions designed on top of object biography metadata in the environment are a potential new approach for museum informatics and biographical intersections are a promising concept to focus user engagement.

text: Using object biography metadata to create artefact interactions outside memory institutions Artefacts are primarily experienced inside museums, and those with insufficient display and interpretation can be isolated and ignored. Mobile devices potentially allow the artefact interaction touchpoints to be moved into the wider environment beyond the physical boundaries of memory institutions. To achieve these interactions, one approach is to modify metadata from a typical descriptive catalogue entry to be object biography-centric. This thesis explores this opportunity and presents the creation of novel artefact-centric interactions outside museums embodied by a proof-of-concept mobile application prototype. 
We performed four studies to acquire object biography metadata, design and evaluate the interactions with biography-enhanced artefacts. Study one explored the potential contributions that the biographical approach can make in documenting artefacts. Study two acquired object biography metadata in a selection of places and conceptualised the metadata fields. Study three extracted five sets of sample metadata from the collection of a local museum. The final study was the design and user evaluation of the prototype, which indicated that the implementation supported the novelty and effectiveness of object biography-centric interactions. 
The current descriptive metadata of objects are not generally reusable for context-aware applications. Interactions designed on top of object biography metadata in the environment are a potential new approach for museum informatics and biographical intersections are a promising concept to focus user engagement.

year: 2021

title: Honouring our ancestors: Reclaiming the power of Māori maternities

authors: Simmonds, Naomi Beth

abstract: Māori¹ maternal knowledges are intimately tied to ancestors, to ancestral knowledges, and to whenua (land).² Iwi (tribes), hapū (smaller tribal groupings), and whānau (families)³ have their own maternal knowledges, which are woven into their cosmologies, histories, songs, carvings, place names, chants, and incantations. These knowledges, though spatially and temporally specific, speak to the sanctity of the maternal body, the power and prestige of women’s reproductive capabilities, and the empowering collective approach to raising children. Māori knowledges pertaining to pregnancy, childbirth, and parenting were imparted generation to generation as they were lived, embodied and emplaced by our ancestors, sustaining the sacred and empowering approach to maternities within our communities.
This chapter considers the challenges and possibilities of reclaiming Māori maternal knowledges and their associated practices and ceremonies for Māori women and whānau in contemporary Aotearoa-New Zealand. Three key themes frame this chapter. First, I consider the ways in which colonialism has served to silence Māori maternal knowledges to such an extent that whānau are left trying to find meaning in the voices, knowledges, and advices of others. Indigenous women are largely birthing within Western ideologies and institutions that do not adequately provide for Indigenous ways of being and birthing. The chapter then considers the ways in which women and whānau are reclaiming ancient knowledges and practices in new and contemporary ways. I seek to illustrate the ways in which traditional practices and ritual customs have the potential to transform and empower individual and collective experiences of birth and afterbirth. The chapter ends with arguing that Indigenous maternities, Māori maternities, are an important site of decolonization. Reclaiming the messages and embodied practices left to us by our ancestors can provide an empowering collective approach to pregnancy, birth, and afterbirth, and can facilitate a “decolonized pathway” (Simpson 28) into and through the world for our children and for generations to come.

text: Honouring our ancestors: Reclaiming the power of Māori maternities Māori¹ maternal knowledges are intimately tied to ancestors, to ancestral knowledges, and to whenua (land).² Iwi (tribes), hapū (smaller tribal groupings), and whānau (families)³ have their own maternal knowledges, which are woven into their cosmologies, histories, songs, carvings, place names, chants, and incantations. These knowledges, though spatially and temporally specific, speak to the sanctity of the maternal body, the power and prestige of women’s reproductive capabilities, and the empowering collective approach to raising children. Māori knowledges pertaining to pregnancy, childbirth, and parenting were imparted generation to generation as they were lived, embodied and emplaced by our ancestors, sustaining the sacred and empowering approach to maternities within our communities.
This chapter considers the challenges and possibilities of reclaiming Māori maternal knowledges and their associated practices and ceremonies for Māori women and whānau in contemporary Aotearoa-New Zealand. Three key themes frame this chapter. First, I consider the ways in which colonialism has served to silence Māori maternal knowledges to such an extent that whānau are left trying to find meaning in the voices, knowledges, and advices of others. Indigenous women are largely birthing within Western ideologies and institutions that do not adequately provide for Indigenous ways of being and birthing. The chapter then considers the ways in which women and whānau are reclaiming ancient knowledges and practices in new and contemporary ways. I seek to illustrate the ways in which traditional practices and ritual customs have the potential to transform and empower individual and collective experiences of birth and afterbirth. The chapter ends with arguing that Indigenous maternities, Māori maternities, are an important site of decolonization. Reclaiming the messages and embodied practices left to us by our ancestors can provide an empowering collective approach to pregnancy, birth, and afterbirth, and can facilitate a “decolonized pathway” (Simpson 28) into and through the world for our children and for generations to come.

year: 2017