01-17-2021, 11:37 PM
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#43 (permalink)
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Master EcoModder
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Quote:
Yes I did. I couldn't then be bothered trying to work out the obscure message.
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Here is it without the punctuation
"0% reduction in aero drag does not automatically give a 5% reduction in fuel consumed (as Aerohead has stated). That [ratio]'s not my opinion; that's a zeroth-order approximation."
Since you can't be bothered to look at the link before posting:
Quote:
Zeroth-order approximation is the term scientists use for a first rough answer. Many simplifying assumptions are made, and when a number is needed, an order-of-magnitude answer (or zero significant figures) is often given. For example, you might say "the town has a few thousand residents", when it has 3,914 people in actuality. This is also sometimes referred to as an order-of-magnitude approximation. The zero of "zeroth-order" represents the fact that even the only number given, "a few", is itself loosely defined.
A zeroth-order approximation of a function (that is, mathematically determining a formula to fit multiple data points) will be constant, or a flat line with no slope: a polynomial of degree 0. For example,
{\displaystyle x=[0,1,2]\,}x=[0,1,2]\,
{\displaystyle y=[3,3,5]\,}y=[3,3,5]\,
{\displaystyle y\sim f(x)=3.67\,}y\sim f(x)=3.67\,
could be – if data point accuracy were reported – an approximate fit to the data, obtained by simply averaging the x-values and the y-values. However, data points represent results of measurements and they do differ from points in Euclidean geometry. Thus quoting an average value containing three significant digits in the output with just one significant digit in the input data could be recognized as an example of false precision. With the implied accuracy of the data points of ±0.5, the zeroth order approximation could at best yield the result for y of ~3.7±2.0 in the interval of x from -0.5 to 2.5, considering the standard deviation.
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Is there any other way I can help your understanding?
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