Accelerating self-consistent field convergence with the augmented Roothaan-Hall energy function.

Based on Pulay's direct inversion iterative subspace (DIIS) approach, we present a method to accelerate self-consistent field (SCF) convergence. In this method, the quadratic augmented Roothaan-Hall (ARH) energy function, proposed recently by Høst and co-workers [J. Chem. Phys. 129, 124106 (2008)], is used as the object of minimization for obtaining the linear coefficients of Fock matrices within DIIS. This differs from the traditional DIIS of Pulay, which uses an object function derived from the commutator of the density and Fock matrices. Our results show that the present algorithm, abbreviated ADIIS, is more robust and efficient than the energy-DIIS (EDIIS) approach. In particular, several examples demonstrate that the combination of ADIIS and DIIS ("ADIIS+DIIS") is highly reliable and efficient in accelerating SCF convergence.

Exploring the effects of image persistence in low frame rate virtual environments

© 2015 IEEE.In virtual reality applications, there is an aim to provide real time graphics which run at high refresh rates. However, there are many situations in which this is not possible due to simulation or rendering issues. When running at low frame rates, several aspects of the user experience are affected. For example, each frame is displayed for an extended period of time, causing a high persistence image artifact. The effect of this artifact is that movement may lose continuity, and the image jumps from one frame to another. In this paper, we discuss our initial exploration of the effects of high persistence frames caused by low refresh rates and compare it to high frame rates and to a technique we developed to mitigate the effects of low frame rates. In this technique, the low frame rate simulation images are displayed with low persistence by blanking out the display during the extra time such image would be displayed. In order to isolate the visual effects, we constructed a simulator for low and high persistence displays that does not affect input latency. A controlled user study comparing the three conditions for the tasks of 3D selection and navigation was conducted. Results indicate that the low persistence display technique may not negatively impact user experience or performance as compared to the high persistence case. Directions for future work on the use of low persistence displays for low frame rate situations are discussed.

In Whose Image: The Emergence, Development, and Challenge of African-American Evangelicalism

The current era of American Christianity marks the transition from a Western, white-dominated U.S. Evangelicalism to an ethnically diverse demographic for evangelicalism. Despite this increasing diversity, U.S. Evangelicalism has demonstrated a stubborn inability to address the entrenched assumption of white supremacy. The 1970s witnessed the rise in prominence of Evangelicalism in the United States. At the same time, the era witnessed a burgeoning movement of African-American evangelicals, who often experienced marginalization from the larger movement. What factors prevented the integration between two seemingly theologically compatible movements? How do these factors impact the challenge of integration and reconciliation in the changing demographic reality of early twenty-first Evangelicalism?

The question is examined through the unpacking of the diseased theological imagination rooted in U.S. Evangelicalism. The theological categories of Creation, Anthropology, Christology, Soteriology, and Ecclesiology are discussed to determine specific deficiencies that lead to assumptions of white supremacy. The larger history of U.S. Evangelicalism and the larger story of the African-American church are explored to provide a context for the unique expression of African-American evangelicalism in the last third of the twentieth century. Through the use of primary sources — personal interviews, archival documents, writings by principals, and private collection documents — the specific history of African-American evangelicals in the 1960s and 1970s is described. The stories of the National Black Evangelical Association, Tom Skinner, John Perkins, and Circle Church provide historical snapshots that illuminate the relationship between the larger U.S. Evangelical movement and African-American evangelicals.

Various attempts at integration and shared leadership were made in the 1970s as African-American evangelicals engaged with white Evangelical institutions. However, the failure of these attempts point to the challenges to diversity for U.S. Evangelicalism and the failure of the Evangelical theological imagination. The diseased theological imagination of U.S. Evangelical Christianity prevented engagement with the needed challenge of African American evangelicalism, resulting in dysfunctional racial dynamics evident in twenty-first century Evangelical Christianity. The historical problem of situating African American evangelicals reveals the theological problem of white supremacy in U.S. Evangelicalism.