We propose definitions of QAC, the quantum analog of the classical class AC of constant-depth circuits with AND and OR gates of arbitrary fan-in, and QACC[q], where n-ary MODq gates are also allowed. We show that it is possible to make a ‘cat’ state on n qubits in constant depth if and only if we can construct a parity or MOD2 gate in constant depth; therefore, any circuit class that can fan ou...

Ventilation is a vital component of an underground mining operation, used to guarantee a safe atmosphere for workers and survive them from the hazardous and toxic gases. In the recent years, engineers have begun to apply new operation research techniques in order to optimize the ventilation systems to assist in achieving a regulatory compliance, reduce ventilation costs, and improve its efficie...

From results of Ishihara it is known that the weak (that is, binary) form of König’s lemma (WKL) implies Brouwer’s fan theorem (Fan). Moreover, Berger and Ishihara [MLQ 2005] have shown that a weakened form WKL! of WKL, where as an additional hypothesis it is required that in an effective sense infinite paths are unique, is equivalent to Fan. The proof that WKL! implies Fan is done explicitely....

Axial flow fan has been used for large amount of flow rate in air handling units of industrial application fields. The fan involves a shrouding duct as flow guidance for uniform flows. Pressure difference between before and ahead of rotating blades causes the flows movements. The case where the flow resistance such as a heat exchanger is located prior to the rotors is typical in-field model for...

This research investigated whether eye movements are informative about retrieval processes. Participants learned facts about persons and locations, and the number of facts (fan) learned about each person and location was manipulated. During a subsequent recognition test, participants made more gazes to high-fan facts than to low-fan facts, and gazes to high-fan facts had a longer duration than ...

Recently, saving the cooling power in servers by controlling the fan speed has attracted considerable attention because of the increasing demand for high-density servers. This paper presents an optimal self-tuning proportional-integral-derivative (PID) controller, combining a PID neural network (PIDNN) with fan-power-based optimization in the transient-state temperature response in the time dom...

In this paper, we present an integrated version of the Ng model and Zhou and Fan model [W. L. Ng,A simple classifier for multiple criteria ABC analysis, European Journal of Operation Research, 177(2007) 344-353; P. Zhou & L. Fan, A note on multi-criteria ABC inventory classification usingweighted linear optimization, European Journal of Operation Research, 182 (2007) 1488-1491]. Themodel that N...

Given a finite Coxeter system (W,S) and a Coxeter element c, or equivalently an orientation of the Coxeter graph of W , we construct a simple polytope whose outer normal fan is N. Reading’s Cambrian fan Fc, settling a conjecture of Reading that this is possible. We call this polytope the c-generalized associahedron. Our approach generalizes Loday’s realization of the associahedron (a type A c-g...