# Questions tagged [error-analysis]

Techniques and methods for computing, estimating, or placing bounds on the errors of expressions (formulas) based on knowledge of error distributions, error intervals or bounds of variables and parameters entering those expressions, and of methods used in the computations.

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### Human error in wave experiment

I am trying to see what the fundamental frequency of a string is by slowly increasing the frequency on a function generator. This experiment relies on the experimenter to record the frequency as soon ...
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1 vote
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### Combination of errors when $1/z = 1/a + 1/b$ [closed]

It is mentioned directly in every text I could find that, if $$\frac{1}{z} = \frac{1}{a} + \frac{1}{b}$$ then $$\frac{\Delta z}{z^2} = \frac{\Delta a}{a^2} + \frac{\Delta b}{b^2}.$$ How we came to ...
55 views

### Significant figures when product is more by a factor of 10

A rectangular plate has a length of 21.3 cm and a width of 9.8 cm. Calculate the area of the plate. A straightforward question, which you multiply and arrive at 208.74 cm2. Taking significant figures ...
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### Why do we use perturbation theory instead of statistical error?

In perturbation theory, the solution to a given quantum physical problem cannot be solved to an exact precission. But the approximate function which yields similar solutions can be improved by adding ...
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### Is there a sigma for unexplained hypothetical discoveries?

I recently read that the Koide formula relating electronic leptons rest masses is often considered to be numerologic, since unexplained, even though recent years experiment data tend to narrow the ...
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### How can I determine an error on total noise?

I am analyzing the data for an experiment, where we measured the total noise in a system. The total noise is defined as the variance of the signal (and is equal tot the integral over the noise ...
63 views

### Vernier Caliper Measurement [duplicate]

My doubt is regarding the formula for measurement using a vernier caliper. In my class we were taught the following formula: $Reading = MSR + n(LC)$ (p) (here MSR stands for main scale reading and LC ...
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### If gravitation is negligible for small masses, how was Cavendish's experiment successful with balls much smaller than celestial objects?

If gravitation is negligible for small masses, then how was Cavendish's experiment a success since the balls used were very small compared to the sizes of celestial objects?
35 views

### What type of variable would you classify $a, b, c$ etc shown in the picture? Would I just call them random, insignificant real values? [closed]

The variables don't really represent anything
1 vote
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### Resolution and delta function

Any attempt to measure the value of a physical quantity is limited, by the finite resolution of the measuring apparatus used. on the one hand the physical quantity we wish to measure will be in ...
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1 vote
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### Numerical solution of differential equations, e.g. the three-body problem

What forms of differential equations have numerical solutions with errors that go to zero with sufficient computational power? For example, suppose I want to solve a differential equation $E$ for a ...
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### Are zeros to the right really significant? [duplicate]

In one of YouTube lectures about significant digits I saw this: I was completely shocked. Both scientific notation numbers when converted to integer would represent same quantity of $1200 \text{kg}$ ...
38 views

### How are uncertainties of the quantum state/wavefunctions themselves modeled?

This question might be confusing so let me try to clarify this carefully. The wavefunction is a tool that allows us to calculate probability distributions that model uncertainties. Thus makes sense. ...
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### Does changing units affect Significant Figures

Does changing the unit of a physical quantity has no influence whatsoever on the number of significant figures? Suppose the mass of a particle is given as 0.060kg 0.060 has 2 significant figures as ...
190 views

### Why using sigmas instead of p-values in particle physics?

Motivated by this question in Statistics community: Why do physicists use sigma while biologists use p values/posterior probabilities?. After discussion it essentially reduces to: why assuming normal ...
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1 vote
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### Confidence level on excluded lifetime of decay

Could someone help me understand the ideas behind setting confidence levels on decay lifetimes. Like what Super K has been doing on the proton. Given the count rate of the decays is a poisson ...
1 vote
61 views

### Why is the uncertainty of the Gravitational Constant $G$ many orders of magnitude larger than that of other important fundamental constants?

Why is the numerical range of uncertainty of the Gravitational Constant $G$ many orders of magnitude larger than that of other important fundamental constants? What are the challenges in precise ...
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### How to add and subtract significant figures?

There are actually two ways given to add or subtract significant figures in different books .In books like concepts of Physics by HC Verma it is written that round of the numbers given first and then ...
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### Limiting factors in traditional microscopy

I have been researching Entanglement-Enhanced Microscopy, and the overall breakthrough seems to be obtaining a resolution of $1/N$ as opposed to $1/\sqrt N$. This led me to ask what the limiting ...
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### Optimizing accuracy of different basketball shots [closed]

I have a high school math project and chose to work on basketball trajectory because I thought I would enjoy it the most. But honestly, I have a hard time calculating a 3D trajectory. So I thought ...
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