title: Algebraic invariants arising from the chromatic polynomials of theta graphs

authors: Delbourgo, Daniel

abstract: This paper investigates some algebraic properties of the chromatic polynomials of theta graphs, i.e. graphs which have three internally disjoint paths sharing the same two distinct end vertices. We give a complete description of the Galois group, discriminant and ramification indices for the chromatic polynomials of theta graphs with three consecutive path lengths. We then do the same for theta graphs with three paths of the same length, by comparing them algebraically to the first family. This algebraic link extends naturally to generalised theta graphs with k + 1 branches.

text: Algebraic invariants arising from the chromatic polynomials of theta graphs This paper investigates some algebraic properties of the chromatic polynomials of theta graphs, i.e. graphs which have three internally disjoint paths sharing the same two distinct end vertices. We give a complete description of the Galois group, discriminant and ramification indices for the chromatic polynomials of theta graphs with three consecutive path lengths. We then do the same for theta graphs with three paths of the same length, by comparing them algebraically to the first family. This algebraic link extends naturally to generalised theta graphs with k + 1 branches.

year: 2014

title: The effects of mindfulness-based stress reduction interventions on employee well-being: A meta-analytic study

authors: Thierstein, Simone

subjects: Mindfulness

abstract: Organisations have started to acknowledge that employee stress and well-being have a central role in organisational performance and can also impact individuals’ overall health. Poor employee well-being and stress have been linked to psychological, physiological, and behavioural issues such as loss of productivity, work accidents (Fries, 2009), cardiovascular disease, hypertension (Tennant, 2001), and increased staff turnover (Murphy, & Sauter, 2003). Furthermore, distress can decrease life satisfaction and have a major influence on our daily lives (Berger, 1994). Employee well-being programmes became popular in the 1970s, such as the programme developed by Jon Kabat-Zinn which is known as the ‘mindfulness-based stress reduction’ intervention. In this meta-analytic study, the effect of MBSR interventions categorised in three groups (tMBSR, mMBSR, and cMBSR) on employee stress and well-being is examined.
Statistical data of stress levels was taken from the following measures: GHQ, DASS, MBI, and PSS. Statistical data of well-being levels was taken from measures such as the SPWB, the SWLS, the SF-36 and the SF-12v2, and the PSQI.
The meta-analysis on MBSR and its effect on stress reduction resulted in a medium summary effect size (g= -0.489). A smaller summary effect size (g= -0.242) was found when carrying out a meta-analysis only comprising of studies which included a control group. The meta-analysis on the effect of MBSR on enhancing well-being outcomes resulted in a moderate effect size (g= 0.512).
The findings in this study are in line with previous research outcomes supporting the claim that MBSR assists in stress reduction and increases well-being in employees. There are various limitations to this study such as few controlled studies and a majority of samples working in the health care sector. Future research could focus on cMBSR interventions in the workplace and explore why they may have a larger effect size than traditional MBSR.

text: The effects of mindfulness-based stress reduction interventions on employee well-being: A meta-analytic study Organisations have started to acknowledge that employee stress and well-being have a central role in organisational performance and can also impact individuals’ overall health. Poor employee well-being and stress have been linked to psychological, physiological, and behavioural issues such as loss of productivity, work accidents (Fries, 2009), cardiovascular disease, hypertension (Tennant, 2001), and increased staff turnover (Murphy, & Sauter, 2003). Furthermore, distress can decrease life satisfaction and have a major influence on our daily lives (Berger, 1994). Employee well-being programmes became popular in the 1970s, such as the programme developed by Jon Kabat-Zinn which is known as the ‘mindfulness-based stress reduction’ intervention. In this meta-analytic study, the effect of MBSR interventions categorised in three groups (tMBSR, mMBSR, and cMBSR) on employee stress and well-being is examined.
Statistical data of stress levels was taken from the following measures: GHQ, DASS, MBI, and PSS. Statistical data of well-being levels was taken from measures such as the SPWB, the SWLS, the SF-36 and the SF-12v2, and the PSQI.
The meta-analysis on MBSR and its effect on stress reduction resulted in a medium summary effect size (g= -0.489). A smaller summary effect size (g= -0.242) was found when carrying out a meta-analysis only comprising of studies which included a control group. The meta-analysis on the effect of MBSR on enhancing well-being outcomes resulted in a moderate effect size (g= 0.512).
The findings in this study are in line with previous research outcomes supporting the claim that MBSR assists in stress reduction and increases well-being in employees. There are various limitations to this study such as few controlled studies and a majority of samples working in the health care sector. Future research could focus on cMBSR interventions in the workplace and explore why they may have a larger effect size than traditional MBSR.

year: 2019

title: Archetypes and the unthought: The projection of the King’s Court in New Zealand television media

authors: Mataira, Kelvin

abstract: This thesis explores archetypal projections of conflict in Television New Zealand’s news and current affairs as an unthought. The television news and current affairs programmes identified in the thesis relate to issues of conflict between the Maori people of New Zealand, and the Government and Crown agencies of New Zealand. The unresolved issues of conflict are manifest in what has become popularly known as the Treaty of Waitangi settlement process.

The thesis is informed by Foucault’s conviction that the unthought is the power that is linked to every mode of knowledge. The thesis argues that knowledge in relation to thought is limited because the knowledge is surrounded by an immense region of shadow. In an ontology based on thought only it is shown how the Shadow and the King’s Court archetypes conceal and prevent human beings from comprehending other discourses.

It is argued that Foucault’s concern with the unthought is reflected in Carl Gustav Jung’s convictions about the collective unconscious. Jung’s theory of the quarternio: thinking, sensing, intuition and feeling that describe the four functions of the mind, inform the theory and the methodology for the thesis. It is proposed that the discursive activities of television media can be understood in relation to Hermes the Greek God of magic, lies and illusion. It is further proposed that the images that are projected from television media can be informed by mythical accounts of Hermes’ behaviour and activity in relation to Zeus, Apollo, Dionysus, and Ares.

In the thesis, the quarternio and the Greek Gods are represented by the archetypes of the King’s Court. The Ruler archetype represents Zeus and Apollo as the thinking function of the mind. The Sage archetype is shown to be located in close proximity to the Ruler. The Warrior archetype represents Dionysus as the sensing function of the mind. The Magician archetype represents Hermes as the intuitive function of the mind. The Fool archetype represents Ares as the feeling function of the mind. The Destroyer archetype as the inferior and rejected contents of the collective unconscious represents the archetypal Shadow that undermines the activities of the King’s Court. 

It is maintained in the thesis that television media projections of the King’s Court are a metaphor of the mind, and in particular of the contents of the collective unconscious. The King’s Court as a mythical and archetypal metaphor invites an inspection of the unthought through the epistemology of image. The thesis furnishes a methodology based on the epistemology of television. Through an analysis of popular contemporary films such as the Star Wars Trilogy that are shown to be heavily invested with archetypal motif, discourses for each of the King’s Court archetypes are presented. Foucault’s notion of the rituals and gestures that constitute the true discourse in a regime of truth informs the definition of discourse in the thesis. Discourse in the thesis is to be understood as verbal and non-verbal modes of communication.

Foucault’s notion of disciplinary power provides a method for analysing television news and current affairs programmes as an order of discourse. Disciplinary power enables an understanding of the power relations in television media as the power that circulates in an inquisition between the examiner and the confessor. The archetypes of the King’s Court are projected through the rituals of inquisition in television media.

In the analysis all of the archetypes of the King’s Court are seen except for the Magician. Television it is argued represents the Magician. The Destroyer, the Ruler the Sage, the Warrior and the Fool on television media are controlled by the Magician. The Magician shows that the Ruler’s discourse reflected through the King’s Court represents the regime of truth. The competing discourse of the Destroyer as archetypal foe is located outside of the King’s Court and in opposition to the Ruler’s discourse. The Ruler’s discourse is Apollonine. The Ruler projects the image of control, peace, reconciliation, rationality, serenity, authority, and wealth. The Sage as the intellectual and the Fool as the archetypal Trickster are shown to actively facilitate the power of the Ruler. The Warrior who is projected as a powerful leader may be alienated from the King’s Court.

text: Archetypes and the unthought: The projection of the King’s Court in New Zealand television media This thesis explores archetypal projections of conflict in Television New Zealand’s news and current affairs as an unthought. The television news and current affairs programmes identified in the thesis relate to issues of conflict between the Maori people of New Zealand, and the Government and Crown agencies of New Zealand. The unresolved issues of conflict are manifest in what has become popularly known as the Treaty of Waitangi settlement process.

The thesis is informed by Foucault’s conviction that the unthought is the power that is linked to every mode of knowledge. The thesis argues that knowledge in relation to thought is limited because the knowledge is surrounded by an immense region of shadow. In an ontology based on thought only it is shown how the Shadow and the King’s Court archetypes conceal and prevent human beings from comprehending other discourses.

It is argued that Foucault’s concern with the unthought is reflected in Carl Gustav Jung’s convictions about the collective unconscious. Jung’s theory of the quarternio: thinking, sensing, intuition and feeling that describe the four functions of the mind, inform the theory and the methodology for the thesis. It is proposed that the discursive activities of television media can be understood in relation to Hermes the Greek God of magic, lies and illusion. It is further proposed that the images that are projected from television media can be informed by mythical accounts of Hermes’ behaviour and activity in relation to Zeus, Apollo, Dionysus, and Ares.

In the thesis, the quarternio and the Greek Gods are represented by the archetypes of the King’s Court. The Ruler archetype represents Zeus and Apollo as the thinking function of the mind. The Sage archetype is shown to be located in close proximity to the Ruler. The Warrior archetype represents Dionysus as the sensing function of the mind. The Magician archetype represents Hermes as the intuitive function of the mind. The Fool archetype represents Ares as the feeling function of the mind. The Destroyer archetype as the inferior and rejected contents of the collective unconscious represents the archetypal Shadow that undermines the activities of the King’s Court. 

It is maintained in the thesis that television media projections of the King’s Court are a metaphor of the mind, and in particular of the contents of the collective unconscious. The King’s Court as a mythical and archetypal metaphor invites an inspection of the unthought through the epistemology of image. The thesis furnishes a methodology based on the epistemology of television. Through an analysis of popular contemporary films such as the Star Wars Trilogy that are shown to be heavily invested with archetypal motif, discourses for each of the King’s Court archetypes are presented. Foucault’s notion of the rituals and gestures that constitute the true discourse in a regime of truth informs the definition of discourse in the thesis. Discourse in the thesis is to be understood as verbal and non-verbal modes of communication.

Foucault’s notion of disciplinary power provides a method for analysing television news and current affairs programmes as an order of discourse. Disciplinary power enables an understanding of the power relations in television media as the power that circulates in an inquisition between the examiner and the confessor. The archetypes of the King’s Court are projected through the rituals of inquisition in television media.

In the analysis all of the archetypes of the King’s Court are seen except for the Magician. Television it is argued represents the Magician. The Destroyer, the Ruler the Sage, the Warrior and the Fool on television media are controlled by the Magician. The Magician shows that the Ruler’s discourse reflected through the King’s Court represents the regime of truth. The competing discourse of the Destroyer as archetypal foe is located outside of the King’s Court and in opposition to the Ruler’s discourse. The Ruler’s discourse is Apollonine. The Ruler projects the image of control, peace, reconciliation, rationality, serenity, authority, and wealth. The Sage as the intellectual and the Fool as the archetypal Trickster are shown to actively facilitate the power of the Ruler. The Warrior who is projected as a powerful leader may be alienated from the King’s Court.

year: 2000