Constructing Orthogonal Arrays on Non-abelian Groups

For an orthogonal array (or fractional factorial design) on k factors, Xu and Wu (2001) define the array\u27s generalized wordlength pattern (A1, ..., Ak), by relating a cyclic group to each factor. They prove the property that the array has strength t if and only if A1 = ... = At = 0. In their 2012 paper, Beder and Beder show that this result is independent of the group structure used. Non-abelian groups can be used if the assumption is made that the groups Gi are chosen so that the counting function O of the array is a class function on G. The aim of this thesis is to construct examples of orthogonal arrays on G = G1 x ... x Gk, where G is non-abelian, having two properties: given strength, and counting function O that is constant on the conjugacy classes of G

Devotions for Lent 2023 Hymns of Lent

This Lent, we will continue reflecting on hymns of faith, namely, some of our most beloved Lenten hymns. 10 such hymns have been chosen to fill the 40(+) days of Lent. Therefore, this devotional, different from previous editions, does not proceed on a weekly basis, but merely flows from one hymn to the next. Also different from previous editions, the devotional reflections are specifically based on the stanzas of the selected hymns. Therefore, each day’s reflection features the text of the hymn stanza, a devotion based on that stanza, a prayer, and then a Scripture passage or passages for further meditation. I pray these reflections may be of edification for you during this Lenten season.https://scholar.csl.edu/osp/1022/thumbnail.jp

[Photograph 2012.201.B0991.0552]

Photograph used for a newspaper owned by the Oklahoma Publishing Company

03-20 Under the Fig Tree: Deaconess studies with Alyssa Choate and Lara McComack

In this episode of Under the Fig Tree, hosts Rev. Micah Glenn and Dr. Ben Haupt talk with two residential Deaconess Studies students, Lara McComack and Alyssa Choate. During the episode, McComack and Choate share tidbits about their journey to the Seminary, their favorite classes, their love for the campus community, what life is like living on campus and more. How do they feel about carrot cake, Sudoku and sports documentaries? Are these topics ripe for the picking or better left on the tree? Watch or listen to find out! Under the Fig Tree is a video and audio podcast of Concordia Seminary, St. Louis. New video and audio episodes are added weekly each Monday. Under the Fig Tree can be found on YouTube, the Seminary’s Scholar site and most podcast platforms including Spotify, Apple Podcasts and Google Podcasts. Those interested in vocational ministry are invited to learn more about Concordia Seminary at csl.edu or by contacting the admissions team at [email protected] or 800-822-9545