The application of aerospace technology to biomedical problems Quarterly report, 15 Jun. - 31 Aug. 1969

Applications of aerospace technology to biomedical problem

Nonlocal Games and Quantum Permutation Groups

We present a strong connection between quantum information and quantum permutation groups. Specifically, we define a notion of quantum isomorphisms of graphs based on quantum automorphisms from the theory of quantum groups, and then show that this is equivalent to the previously defined notion of quantum isomorphism corresponding to perfect quantum strategies to the isomorphism game. Moreover, we show that two connected graphs $X$ and $Y$ are quantum isomorphic if and only if there exists $x \in V(X)$ and $y \in V(Y)$ that are in the same orbit of the quantum automorphism group of the disjoint union of $X$ and $Y$. This connection links quantum groups to the more concrete notion of nonlocal games and physically observable quantum behaviours. We exploit this link by using ideas and results from quantum information in order to prove new results about quantum automorphism groups, and about quantum permutation groups more generally. In particular, we show that asymptotically almost surely all graphs have trivial quantum automorphism group. Furthermore, we use examples of quantum isomorphic graphs from previous work to construct an infinite family of graphs which are quantum vertex transitive but fail to be vertex transitive, answering a question from the quantum group literature. Our main tool for proving these results is the introduction of orbits and orbitals (orbits on ordered pairs) of quantum permutation groups. We show that the orbitals of a quantum permutation group form a coherent configuration/algebra, a notion from the field of algebraic graph theory. We then prove that the elements of this quantum orbital algebra are exactly the matrices that commute with the magic unitary defining the quantum group. We furthermore show that quantum isomorphic graphs admit an isomorphism of their quantum orbital algebras which maps the adjacency matrix of one graph to that of the other.Comment: 39 page

Biomedical applications of aerospace- generated technology Quarterly report, 1 Dec. 1968 - 28 Feb. 1969

Biomedical applications team for transferring aerospace generated technology to nonaerospace biomedical fiel

Relational Leadership: The Leadership Style of Jesus for the Emerging Church

The purpose of this dissertation is to better understand the leadership style of Jesus as it relates to the leadership in the church for the purpose of carrying forth Jesus\u27 mission in today\u27 s setting and developing disciples of Jesus Christ. Traditional anthropocentric, hierarchical, and individualistic leadership styles and structures do not connect with a generation of people in a post-modern era. I intend to clarify the leadership style of Jesus and propose that church leaders return to his style in order to effectively engage the church with a postmodern context. This approach to developing leaders for the church will equip the leader for service and connect the leader to the emerging culture through a learning community. This connection will be forged by reconnecting church leaders to the leadership model of Jesus demonstrated through his journey with the disciples. In order to expand the kingdom of God and connect with the emerging culture of postmodernism the church must embrace a Christo-centric, collaborative and communal approach to ministry as it seeks to expand the kingdom of God. Chapter one introduces the narrative of Community Presbyterian Church who is challenged with reaching people in the emerging postmodern culture. Chapter two explores Jesus\u27 leadership style by examining Biblical and historical texts. It is established that Jesus\u27 style of leadership was rooted in love and demonstrated through his service of others. Chapter three highlights the early church\u27s apostolic model of leadership, the guiding force of the Holy Spirit in expanding the early church, the relational nature of the Trinity and Paul\u27s idea of community. All of this provides the basis that the early church was Christo-centric, collaborative and communal. Chapter four highlights the leadership changes in the church. This chapter demonstrates where the church transitioned into a more anthropocentric, hierarchical and individualistic structure through various internal and external threats. Chapter five details the specific understanding of the postmodern culture and the leadership styles within that culture. Chapter six delineates the challenge the church faces in the face of postmodernism by outlining how the church can connect with its surrounding culture through a Christo-centric, collaborative and communal style of leadership. Chapter seven concludes by providing a plausible solution for Community Presbyterian Church as well as a model for church leadership for a postmodern culture within a Caucasian Western suburban setting

From Whence Cometh Her Strength

On May 29, 1851, Isabella Baumfree, a 54-year-old former slave, delivered the keynote address at the Women’s Convention in Akron, Ohio. Baumfree, better known as Sojourner Truth, could have focused her speech on the lashes grooved in her back, or her children she watched sold off into slavery. Yet her rallying cry came in the form of a simple question: “Ain’t I a woman?” Before gendered racial microaggressions had been defined, Sojourner Truth recognized that although she was a woman, she was not treated the same as non-Black women. There is no shortage of data on the deleterious effects of gendered racism on the Black woman. This paper quantitatively explores the degree to which Black women experience gendered racial microaggressions, whether they perceive their encounters as traumatic, and if religiosity/spirituality serves as a moderator for their stressors. Through the use of a single anonymous online survey that combined the GRMS, PCL-5, DUREL, and demographic questions, N=462 (n=261 non-Black and n=201 Black) women contributed to this study. Results showed that, in nearly every category, non-Black women responded in a manner that suggests they experience gendered microaggressions and are bothered by them more than Black women. The Black women in this study rated their perceived encounters of traumatic stress lower than non-Black women and religious beliefs higher than non-Black women. Thus, it is possible strong religiosity/spirituality reduces the impact of traumatic stressors experienced by Black women