This could totally be a stupid question but I'm unsure: is a measure (ie positive, countable additive on a $\sigma $ algebra, 0 for the empty set) actually a measurable function (wrt to the Borel-sigma algebra on $\mathbb{R}$)?

Kolten Conrad
2022-07-12
Answered

This could totally be a stupid question but I'm unsure: is a measure (ie positive, countable additive on a $\sigma $ algebra, 0 for the empty set) actually a measurable function (wrt to the Borel-sigma algebra on $\mathbb{R}$)?

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Note: 1 gallon = 4 quarts

A. 2 1/8 qt

B.16 1/2 qt

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A. 2 1/8 qt

B.16 1/2 qt

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Mean =

B. Find the standard deviation of the sample of 14 measurements.

Standard Deviation =

A. Find the mean of the sample of 14 measurements.

Mean =

B. Find the standard deviation of the sample of 14 measurements.

Standard Deviation =

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-30 -23 14 -21 -32 11 -23 28 103 -19 -5 -46

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asked 2022-06-29

I wonder why uncertainties in angle measurement MUST be in radians. For example, I want to calculate the uncertainty in measuring the function $y=\mathrm{sin}(\theta )$ when the angle is measured $\pm 1$ degree. I do this using differential, so $dy=\mathrm{cos}(\theta )d\theta $, now $d\theta =\pm 1$ degree is the error in $\theta $. Now, all the course notes/ books I read says this must be converted in radians, even though the angle we use here is measured in degree. How come?