8 Kinematics of Rotation

Abstract

This chapter discusses and develops the techniques needed to define the location and orientation of a moving rigid body. Roughly speaking, rotation can be defined as what a rigid body does. For example, imagine an artist's construction consisting of straight sticks of various lengths glued together at their ends to make a rigid structure. As such a construction is turned in one's hands, or moved closer for a better look, one will notice that the lengths of the sticks, and the angles between them, do not change. Thinking of those sticks as vectors, their general motion can be described by a class of linear operators called rotation operators, which possess the special property that they preserve all vector lengths and relative orientations.

Critical Perspectives on Interreligious Education

“…16 We heard preaching and music that affirms the religious figures of various religious traditions within a large community that accepts these teachings. From attending a large multi-racial house of worship with 14 The classic debate is crystallized by anthropologist Melville K. Herskovkits Myth of a Negro Past, 1941(Boston: Beacon Press, 1990 and sociologist E. Franklin Frazier Negro Church in America, 1963(New York: Schocken, 1974). 15 Cf.…”

“…This sets up an eternal conflict that is, ultimately, unresolvable. Each community claims that its scripture transcends any authority vested in the 14 This statement needs to be qualified somewhat, since in certain taxonomies Catholic Christianity, Evangelical Christianity, and Russian Orthodox Christianity may be considered to be entirely different religions. For the purposes of this analysis, I consider them all representations of Christianity.…”

“…The content of Spirit-guided teaching and Spirit-enabled learning includes Scripture, both in terms of information about Jesus Christ and as a means of communion with God-particularly through affective encounterand the doctrines and practices of the church.13 The Spirit's internal witness validates Christian teaching and learning in conformity with the criteria of "the Word of God revealed in Christ and through the Scriptures." 14 Johns insists that the pedagogy of the Holy Spirit "mandates methods of instruction appropriate for life in the Kingdom of God," which bear "the markings of the Spirit's presence" and is to be "considered a means of communion with God," carried out primarily by means of "participation in corporate life with the Spirit. "15 A critical element is an environment of spiritual formation, including openness to the Spirit's gifting and charismatic activities.…”