A positive real interval, [a, b] can be partitioned into sub-intervals such that sub-interval widths divided by sub-interval ”‘average”’ values remains constant. That both Arithmetic Mean and Geometric Mean ”‘average”’ values produce constant ratios for the same log scale is the stated invariance proved in this short note. The continuous analog is briefly considered and shown to have similar pr...

in this paper, surface roughness of ht29 cancerous is determined using topography images obtained by atimic force microscopy (afm). the mean radiuses of cell and substrate surface asperities are determined, based on results of conducted roughness analysis and rabinovich roughness theory. these values have been applied in the equations of rough particle nanomanipulation dynamic model and the amo...

This article investigates the soft-interior (se) and the soft-cover (sc) of operator ideals. These operations, and especially the first one, have been widely used before, but making their role explicit and analyzing their interplay with the arithmetic mean operations is essential for the study in [10] of the multiplicity of traces. Many classical ideals are “soft”, i.e., coincide with their sof...

Surfaces of metal sheets initially contain high frequency, low amplitude roughness components imparted during the rolling process. When plastic deformation is imposed, the amplitude of these free surface components increases, producing various kinds of morphological features including randomness, periodicity and waviness. The features often control key functional aspects of a metal surface, suc...

To obtain an accurate prediction model of surface roughness on the premise low experimental cost in precision machining processes, this paper proposes two error correction models subsection theoretical arithmetic mean height (Ra) turning. The performance was evaluated by 25 groups turning data AISI1045 steel. determination coefficient (R2) 10 random runs are both above 0.9, squared (MSE) is low...

SKD11 has been a widely used tool steel for cold works many years while DC53 is intently developed to replace SKD11. In this paper, the machinability of these two steels was compared in terms material removal rate (MRR), electrode wear ratio (EWR), and arithmetic mean value roughness (Ra) specimen machined by electric-discharge machining. The machining variables involved were time peak current....

The Derjaguin approximation states that the interaction force between two curved surfaces is proportional to their effective radius, whereby the inverse effective radius is the arithmetic mean of the inverse curvature radii of the surfaces involved. The present study investigates the validity of this approximation with an atomic force microscope (AFM) by measuring interaction forces between col...

This paper focuses on crowd-based road condition monitoring using smart devices, such as smartphones and evaluates different strategies for aggregating multiple measurements (arithmetic mean and weighted means using R and RMSE) for predicting the longitudinal road roughness. The results con®rm that aggregating predictions from single drives leads to a higher model performance. This has been exp...

The human finger plays an extremely important role in tactile perception, but little is known about how age and gender affect its biophysical properties and their role in tactile perception. We combined studies on contact characteristics, mechanical properties and surface topography to understand age and gender effects on the human finger. The values obtained regarding contact characteristics (...