title: Perfect repdigits

authors: Broughan, Kevin A.

subjects: mathematics

abstract: Here, we give an algorithm to detect all perfect repdigits in any base g>1. As an application, we find all such examples when  g∈ [2, … ,333], extending a calculation from [2]. In particular, we demonstrate that there are no odd perfect repdigits for this range of bases.

text: Perfect repdigits Here, we give an algorithm to detect all perfect repdigits in any base g>1. As an application, we find all such examples when  g∈ [2, … ,333], extending a calculation from [2]. In particular, we demonstrate that there are no odd perfect repdigits for this range of bases.

year: 2013

title: Implicit and explicit attitudes and beliefs towards male and female leaders in New Zealand organizations

authors: Roopra, Tara Kaur

subjects: Leadership

abstract: This research aims to present insight into current gender leader beliefs, in New Zealand. In particular the research design supported the inclusion of both implicit and explicit measures of gender leader beliefs, in order to analyse the difference between what we say (explicit) and what we believe (implicit). The study quantified the implicit and explicit beliefs and attitudes towards leaders in New Zealand organizations based on leader gender, in addition to, examining the relationship between the responses to these measures. Furthermore, this study sought to understand how current women leaders influence employee’s implicit gender leader beliefs. That is, it assessed whether organizational factors, such as, direct report’s gender and organizational leadership profile, have the potential to influence implicit gender leader beliefs. To achieve this the study utilised an online version of the Gender Leader Implicit Association Test (GL-IAT) and a series of questionnaires.
 
	Participants were recruited from organizations across New Zealand via an online survey sent to a number of organizations including both private and public organizations (e.g., AUT, Bell Gully, Russell McVeagh, Free FM, Bay of Plenty DHB, Hawkes Bay DHB, TompkinsWake, the University of Waikato). 552 valid participants responded (male = 26.4%, female = 73.6%), with the majority working full time (42.2%). Both implicit and explicit measures were subject to SSPS analysis etc.

	A variation of Implicit Association Test (IAT), the GL-IAT, which measures people’s unconscious beliefs towards males and females as leaders (Dasgupta & Asgari, 2004) was used to assess implicit gender leader beliefs. The IAT records response times pairing target categories (e.g., “Josh” and “Emily”) with attribute labels (e.g., “Leader” and “Supporter”). Faster responses indicate the target category and attribute label are highly implicitly associated, whereas slower responses indicate the target category and attribute label are less implicitly associated (Greenwald, Nosek, & Banaji, 2003). Three surveys that explicitly measure gender equality beliefs and attitudes, the Gender Equality Scale (GEAS) (Houkamau & Boxall, 2011), Women as Managers Scale (WAMS) (Peters, Terborg, & Taynor, 1974), and the Gender Leader Index  (GLI) (Rudman & Kilianski, 2000), were used to measure explicit beliefs and attitudes regarding men and women as leaders. 

	The research demonstrated that, despite self-reporting explicitly positive attitudes towards leaders, our implicitly held stereotypes associate men with leaders, more so than women, and women with supporters, more so than men. Surprisingly, female direct reports or saturation of female senior leaders were not found to influence follower’s implicit gender bias, it is likely that the more that females are accepted into leadership roles, the easier it will become for women pursuing and performing leadership roles. The results of this study emphasise, to practitioners, Human Resource (HR) managers and researchers, that the scarcity of women within leadership may be, at least in part, due to implicitly held stereotypes, that disassociate women from leaders, and therefore implicit gender bias needs to be recognised within New Zealand organizations as a real barrier to women’s progression. Efforts to reduce the impact of implicit bias should be undertaken.

text: Implicit and explicit attitudes and beliefs towards male and female leaders in New Zealand organizations This research aims to present insight into current gender leader beliefs, in New Zealand. In particular the research design supported the inclusion of both implicit and explicit measures of gender leader beliefs, in order to analyse the difference between what we say (explicit) and what we believe (implicit). The study quantified the implicit and explicit beliefs and attitudes towards leaders in New Zealand organizations based on leader gender, in addition to, examining the relationship between the responses to these measures. Furthermore, this study sought to understand how current women leaders influence employee’s implicit gender leader beliefs. That is, it assessed whether organizational factors, such as, direct report’s gender and organizational leadership profile, have the potential to influence implicit gender leader beliefs. To achieve this the study utilised an online version of the Gender Leader Implicit Association Test (GL-IAT) and a series of questionnaires.
 
	Participants were recruited from organizations across New Zealand via an online survey sent to a number of organizations including both private and public organizations (e.g., AUT, Bell Gully, Russell McVeagh, Free FM, Bay of Plenty DHB, Hawkes Bay DHB, TompkinsWake, the University of Waikato). 552 valid participants responded (male = 26.4%, female = 73.6%), with the majority working full time (42.2%). Both implicit and explicit measures were subject to SSPS analysis etc.

	A variation of Implicit Association Test (IAT), the GL-IAT, which measures people’s unconscious beliefs towards males and females as leaders (Dasgupta & Asgari, 2004) was used to assess implicit gender leader beliefs. The IAT records response times pairing target categories (e.g., “Josh” and “Emily”) with attribute labels (e.g., “Leader” and “Supporter”). Faster responses indicate the target category and attribute label are highly implicitly associated, whereas slower responses indicate the target category and attribute label are less implicitly associated (Greenwald, Nosek, & Banaji, 2003). Three surveys that explicitly measure gender equality beliefs and attitudes, the Gender Equality Scale (GEAS) (Houkamau & Boxall, 2011), Women as Managers Scale (WAMS) (Peters, Terborg, & Taynor, 1974), and the Gender Leader Index  (GLI) (Rudman & Kilianski, 2000), were used to measure explicit beliefs and attitudes regarding men and women as leaders. 

	The research demonstrated that, despite self-reporting explicitly positive attitudes towards leaders, our implicitly held stereotypes associate men with leaders, more so than women, and women with supporters, more so than men. Surprisingly, female direct reports or saturation of female senior leaders were not found to influence follower’s implicit gender bias, it is likely that the more that females are accepted into leadership roles, the easier it will become for women pursuing and performing leadership roles. The results of this study emphasise, to practitioners, Human Resource (HR) managers and researchers, that the scarcity of women within leadership may be, at least in part, due to implicitly held stereotypes, that disassociate women from leaders, and therefore implicit gender bias needs to be recognised within New Zealand organizations as a real barrier to women’s progression. Efforts to reduce the impact of implicit bias should be undertaken.

year: 2017

title: Linking land, river and moana: Collaborative research between Te Whakatōhea and Lincoln University within the coastal rohe

authors: Morris, Richard

abstract: In the eastern Bay of Plenty, where the land yields to the Pacific and the Waioeka and Ōtara Rivers meet Te Moana aToi (the Bay of Plenty), a research partnership is flourishing between Te Whakatōhea iwi, Lincoln University Centre of Excellence Designing Future Productive Landscape (DFPL), and Waikato University. This collaboration has grown over several years into a suite of multidisciplinary research projects focused on agricultural systems design, urban planning, and climate resilience. While distinct in their objectives, these research threads are united by a deeper, unavoidable theme: the interconnection between whenua (land), awa (river), and moana (sea). For Te Whakatōhea, these are not separate domains but a continuous space of identity, sustenance, and economy, an ethos that sits well with DFPL.

text: Linking land, river and moana: Collaborative research between Te Whakatōhea and Lincoln University within the coastal rohe In the eastern Bay of Plenty, where the land yields to the Pacific and the Waioeka and Ōtara Rivers meet Te Moana aToi (the Bay of Plenty), a research partnership is flourishing between Te Whakatōhea iwi, Lincoln University Centre of Excellence Designing Future Productive Landscape (DFPL), and Waikato University. This collaboration has grown over several years into a suite of multidisciplinary research projects focused on agricultural systems design, urban planning, and climate resilience. While distinct in their objectives, these research threads are united by a deeper, unavoidable theme: the interconnection between whenua (land), awa (river), and moana (sea). For Te Whakatōhea, these are not separate domains but a continuous space of identity, sustenance, and economy, an ethos that sits well with DFPL.

year: 2025-11