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math - Why does the integer representation of a floating point number offer a piecewise linear approximation to the logarithm?

math - Why does the integer representation of a floating point number offer a piecewise linear approximation to the logarithm?
stackoverflow.com - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from stackoverflow.com Daily Mail and Mail on Sunday newspapers.

Gideon Yuval , Jean Michel Muller , Noah Hellman , John Mitchell , Steve Gabriel , Jim Blinn , William Kahan , Division Using Binary Logarithms , Approximate Computing , Mitchell Based Approximate Operations , Floating Point Numbers , Fast Inverse Square Root ,

"Exact and Approximate Tasks Computation in IoT Networks" by Yuhan Cui, Kwan Wu Chin et al.

In future Internet of Thing (IoT) networks, devices can be leveraged to compute tasks or services. To this end, this paper addresses a novel problem that requires devices to collaboratively execute tasks with dependencies. A key consideration is that in order to conserve energy, devices may execute a task in approximate mode, which generate errors. To optimize their operation mode, we outline a novel chance constrained program that aims to execute as many tasks as possible in approximate mode subject to a probabilistic constraint relating to the said errors. We also outline two novel solutions to determine task execution modes: (i) a sample average approximation (SAA) method, and (ii) a heuristic solution called MinC. We have studied the performance of SAA and MinC with Round Robin, which assigns tasks to devices in a round-robin manner. Specifically, we find that the maximum energy consumption of devices when using MinC and Round Robin is respectively around 14.2% and 23.1% higher tha ....

Round Robin , Approximate Computing , Hance Constraints , Ependent Tasks , Energy Consumption , Nternet Of Things , Monte Carlo , Resource Management , Tochastic Computing , Task Analysis , Wireless Sensor Networks ,

SC23: Call for Panel Proposals

SC23: Call for Panel Proposals
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Us Space Missions , Supporting Recent , Approximate Computing , Working Remotely , Sustainable Hybrid Approaches , Paradoxical Skills Asymmetry ,