# errors Definition and Topics - 10 Discussions

An error (from the Latin error, meaning "wandering") is an action which is inaccurate or incorrect. In some usages, an error is synonymous with a mistake.
In statistics, "error" refers to the difference between the value which has been computed and the correct value. An error could result in failure or in a deviation from the intended performance or behavior.

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1. ### Differential Nonlinearity: What happens when DNL = -1LSB

Homework Statement Question is simple: what happens when ##DNL = -1 LSB## where DNL signifies differential nonlinearity and LSB stands for Least Significant Bit. It is also required to try and sketch such condition. Homework Equations Equation for differential nonlinearity: DNL(i) =...
2. ### I Linear fitting in physics experiments with errors

Hello! I have a question that maybe has to do more with Mathematics, but if you do experimental physics you find it quite often. Let's assume that we want to measure two quantities x and y that we know that they relate to each other linearly. So we have a set of data points xi and yi...
3. ### What is Artificial Intelligence?

Please bear with me... In a curriculum in mechanical engineering, there is a set of standard topics: statics, dynamics, vibrations, fluid mechanics, thermondynamics, etc. What is Artificial Intelligence, and what does it entail? (at the moment, it seems like a buzz phrase that does not...
4. ### What is the uncertainty in 5.00mm measured by analog device?

Homework Statement What is the uncertainty in 5.00mm measured by an analog device? Homework Equations No equations, Uncertainty and error analysis question The Attempt at a Solution I know that the uncertainty is half the smallest division but i cant figure out what is the uncertainty and how...
5. ### B History of Error Bars in Physics

I was reading an 1803 paper by Thomas Young (of double slit fame), "Experiments and Calculations relative to physical Optics". In it, he lists various dimensions of fringes of light and things. All without any error bars. It got me thinking, what's the history of error bars in scientific...
6. ### Calculation of permissible error in physical quantity

Homework Statement I have doubt in calculating the permissible error. It goes as follows Measure of two quantities along with the precision of respective measuring instrument is A = 25.0 ± 0.5 m/s, B = 0.10 ± 0.01 s. A physical quantity C is calculated as C = A × B. What will be the value of...
7. ### Error in summation of spectral components

HI everyone, Imagine we are sampling of a gaussian signal along time and need to know the power/variance associated with the first N spectral components. So we take our favorite fft algorithm to get the PSD. The error associated with a given estimated spectral component f(w) (w is the...
8. ### Verlet algorithm: Why am I getting this output?

Hi! I am currently trying to write a code in C to simulate the orbit of planets around the Sun in the solar system. I am using the velocity Verlet approach and finding that my code produces no acceleration in the ##y##-direction (aside from for ##t_n = 0##,) and that the planet just flies off...