The challenge of change; what is happening in home missions, by John Milton Moore.

http://www.archive.org/details/challengeofchang028207mbp

The United Methodist Church at 40: What Can We Hope For?

The necessity we face for the future of Methodism is the re-invention of traditions. To re-invent traditions is to re-visit the past with all of its richness; to discern what in our tradition is most central to Christian faith; to analyze those parts of our past that continue to give life; to discern and build upon what is of value in the newly emerging tradition; and to reflect on those aspects of the neglected and rejected past that challenge our present perspectives and practices. To re-invent traditions is to develop new perspectives and practices from the building blocks of the past and from the fresh movements of the Spirit in the present. To do so is to recognize that Christianity in general, and Methodism in particular, is marked by traditions that have continually been passed on, critiqued, eliminated, created, and re-invented for the sake of a living Christian witness. What we can hope for is that God is there in the future already, pulling us toward God’s own New Creation.

On the Complexity of Quantum ACC

For any q > 1, let MOD_q be a quantum gate that determines if the number of 1's in the input is divisible by q. We show that for any q,t > 1, MOD_q is equivalent to MOD_t (up to constant depth). Based on the case q=2, Moore has shown that quantum analogs of AC^(0), ACC[q], and ACC, denoted QAC^(0)_wf, QACC[2], QACC respectively, define the same class of operators, leaving q > 2 as an open question. Our result resolves this question, implying that QAC^(0)_wf = QACC[q] = QACC for all q. We also prove the first upper bounds for QACC in terms of related language classes. We define classes of languages EQACC, NQACC (both for arbitrary complex amplitudes) and BQACC (for rational number amplitudes) and show that they are all contained in TC^(0). To do this, we show that a TC^(0) circuit can keep track of the amplitudes of the state resulting from the application of a QACC operator using a constant width polynomial size tensor sum. In order to accomplish this, we also show that TC^(0) can perform iterated addition and multiplication in certain field extensions.