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FactChecker reacted to wrobel's post in the thread High School Can anyone deeply understand relativity? with
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The whole point is what is meant by the word 'understand'. For example, any qualified mathematician can understand the theory of relativity. -
FactChecker reacted to PeterDonis's post in the thread Undergrad Photons vs Gravitons with
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Classically, fhe field equations for light and gravity are similar, yes; both of them have the basic form of a differential equation... -
FactChecker reacted to Ben vdP's post in the thread High School Why simplifying this function generates different outputs for same input? with
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As already mentioned in other posts the first function is not defined for the value 2. So they aren't entirely the same functions. But... -
FactChecker reacted to DaveC426913's post in the thread Stargazing Falcon 9 predicted lunar impact with
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https://www.cbc.ca/news/science/falcon9-rocket-moon-impact-9.7290981 "You need to be taking an image every tenth, hundredth of a... -
FactChecker replied to the thread Undergrad Momentum measurement and uncertainty.Yes. -
FactChecker reacted to PeterDonis's post in the thread Undergrad Momentum measurement and uncertainty with
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What do you mean by "sample" here? What I described was preparing a large number of particles in the same state, and measuring the... -
FactChecker reacted to PeterDonis's post in the thread Undergrad Momentum measurement and uncertainty with
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What I meant was, we have a large number of results of momentum measurements on the particles that were prepared as I described, and we... -
FactChecker replied to the thread Undergrad Momentum measurement and uncertainty.Thanks. The terminology is tricky. That is the expected value for a single sample from that distribution. That is not the same as the... -
FactChecker replied to the thread Undergrad Momentum measurement and uncertainty."do statistics" is vague. If you determine the variance of the single random momentum value of a single sample (possibly using a large... -
FactChecker replied to the thread Undergrad Momentum measurement and uncertainty.Do you mean the sample variance of the sample distribution of a large number of measurement data, or the variance of the sample average... -
FactChecker replied to the thread Undergrad Momentum measurement and uncertainty.That sounds wrong or unclear. The average of many may have a very small uncertainty, while the uncertainty (variance/spread) of the... -
FactChecker replied to the thread High School Why simplifying this function generates different outputs for same input?.Correct simplification includes keeping track of where the original function was undefined. -
FactChecker reacted to Dale's post in the thread High School Why simplifying this function generates different outputs for same input? with
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It is forbidden specifically at ##x=2##. Elsewhere it is not forbidden. -
FactChecker reacted to gen x's post in the thread High School Why simplifying this function generates different outputs for same input? with
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This function ##f(x) = \frac{x^2 - 4}{x - 2}## when simplify become ##f(x) = x + 2## . If I enter ##x=2## in the first expression I... -
FactChecker reacted to Mark44's post in the thread High School Why simplifying this function generates different outputs for same input? with
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The two functions are identical except at the point (2, 4). The graph of ##f(x) = \frac{x^2 - 4}{x - 2}## can be thought of as a...