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“Not that the difference between the peak and the trough if effectively wasted capital — capital that must be paid by increasing the average price which, of course, scales like the time-averaged demand.”
“Additionally, I think the case is that calculated data is time-averaged and spatially-correlated in order to recover the mean-flow state.”
“Even when macroscopic observables such as temperature or the winning lottery numbers are indeed some sort of time-averaged summation of “micro interactions”, the laws describing those interactions are well understood, even though the number of interactions may be too large to follow one by one.”
“If you really want to estimate a time-averaged relationship, a more efficient way to do it than throwing out 4/5 or whatever of the observations would be to simply regress the unaveraged dependent variable on the averaged independent variable.”
“A less restrictive variant of the WEC is the Average Weak Energy Condition (AWEC), which requires that when time-averaged along some arbitrary world-line through all time, the net energy must be greater than or equal to zero, so that any time period when the energy is negative must be compensated by a period of positive energy.”
“Samples from a series of such time-averaged fossil assemblages are thus very different from the snapshots that come from repeatedly sampling a living community," said Tomašových, a postdoctoral scientist in Geophysical Sciences at UChicago.”
“On the positive side, Tomašových and Kidwell note that although many fossil assemblages will be too time-averaged to discriminate variability generated by biological processes operating at small spatial scales (approximately a meter) - such as competition or predation-prey interactions-they excel at capturing the larger picture, such as the identities and relative abundances of species in the regional diversity pool that local communities draw upon.”
“The amount of bias in the feedbacks diagnosed from time-averaged model output depends upon the size of the non-feedback flux variability relative to the surface temperature variability, as well as the sign and magnitude of the specified (true) feedback.”
“Traditionally, biochemists and cell biologists examined the time-averaged behavior of thousands or millions of cells in order to understand how the information contained in genes is used to make proteins.”
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