One of the main inefficiencies in building management systems is the widespread use of schedule-based control when operating heating, ventilation and air conditioning (HVAC) systems. HVAC systems typically operate on a pre-designed schedule that heats or cools rooms in the building to a set temperature even when rooms are not being used. Occupants, however, influence the thermal behavior of bui...

For applications requiring a large dynamic, real numbers may be represented either in floating-point, or in the logarithm number system (LNS). Which system is best for a given application is difficult to know in advance, because the cost and performance of LNS operators depend on the target accuracy in a highly non linear way. Therefore, a comparison of the pros and cons of both number systems ...

This paper introduces the Interval Logarithmic Number System (ILNS), in which the Logarithmic Number System (LNS) is used as the underlying number system for interval arithmetic. The basic operations in ILNS are introduced and an efficient method for performing ILNS addition and subtraction is presented. The paper compares ILNS to Interval Floating Point (IFP) for a few sample applications. For...

This paper is concerned with the modeling and analysis of quantum dissipation phenomena in the Schrödinger picture. More precisely, we do investigate in detail a dissipative, nonlinear Schrödinger equation somehow accounting for quantum Fokker–Planck effects, and how it is drastically reduced to a simpler logarithmic equation via a nonlinear gauge transformation in such a way that the physics u...

This paper proposes Distributed Large Neighborhood Search (DLNS), an incomplete DCOP algorithm that builds on the strengths of centralized LNS. D-LNS: (i) is anytime; (ii) provides guarantees on solution quality (upper and lower bounds); and (iii) can learn online the best neighborhood to explore. Experimental results show that D-LNS outperforms other incomplete DCOP algorithms in random and sc...

Linear interpolation requires a single multiplication but is signiicantly less accurate than quadratic interpolation. The latter requires two multiplications. Two novel quadratic interpolation schemes are shown here that approximate the functions required by the Logarithmic Number System (LNS) with more accuracy than linear interpolation using only a single multiplication. One method uses two R...

The coverage problem in wireless sensor networks (WSNs) is to determine the number of active sensor nodes needed to cover the sensing area. The purpose is to extend the lifetime of the WSN by turning off redundant nodes. In this paper, we propose a mathematical method for calculating the coverage fraction in WSNs. According to the method, each active node can evaluate its sensing area whether c...

A set of regular summations logarithmic methods is introduced. This set includes Riesz and Nörlund logarithmic methods as limit cases. The application to logarithmic summability of Fourier series of continuous and integrable functions are given. The kernels of these logarithmic methods for trigonometric system are estimated.

in this paper boundedness and compactness of generalized composition oper-ators from logarithmic bloch type spaces to q_k type spaces are investigated.