The Gröbner fan of an ideal I ⊂ k[x1, . . . , xn], defined by Mora and Robbiano, is a complex of polyhedral cones in Rn. The maximal cones of the fan are in bijection with the distinct monomial initial ideals of I as the term order varies. If I is homogeneous the Gröbner fan is complete and is the normal fan of the state polytope of I. In general the Gröbner fan is not complete and therefore no...

background : the application of ventilation systems in industries and workplaces is with the aim of improving environmental conditions for employees. the lack of appropriate ventilation system components design and control methods result in the production of sound and vibration in most components. the purpose of this study was to determine the role of the pad isolator in controlling vibration a...

A fan is a set of edges with a single common endpoint. A graph is fan-crossing if it admits a drawing in the plane so that each edge is crossed by edges of a fan. It is fan-planar if, in addition, the common endpoint is on the same side of the crossed edge. A graph is adjacencycrossing if it admits a drawing so that crossing edges are adjacent. Then it excludes independent crossings which are c...

Electric Fans are very commonly used in the industries, domestic applications and in tunnels for cooling and ventilation purposes. Fan parameters estimation is an important task as far as the reliable operation of a fan system is concerned. Basically, a fan is mainly consisting of a single phase induction motor and therefore fan system parameters are essentially the electrical parameters e.g. r...

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...

In this paper, numerical and experimental investigations on an axial-flow fan with grooved/double-sectional blades are performed to improve its performance in terms of volume flow rate and noise at a local operating point. The target fan is used to cool a mechanical room of a household refrigerator. However, it is found that the target system has more resistance than that for which the fan is o...

Simulations suggest residential cooling energy use can be reduced up to 15% through the use of ceiling fans with thermostat set-up. However, monitoring data from a large scale study of Florida homes found that air conditioning consumption was not lower because thermostats settings were not raised in response to fan use, and many fans were apparently left on for long periods in unoccupied zones....