Error Definition and 998 Threads

Homework Statement Determine sources of error which could have affected the results. Some background information: The lab consisted of playing a tone generated by a tone generator above a standing open-closed tube which had water in it. The first harmonic was measured through a computer system...

Homework Statement I have the following integral I wish to solve (preferably analytically): $$ I(x,t) = \int_{-\infty}^{0} \exp{[-(\sigma^2 + i\frac{t}{2})p^2 + (2\sigma ^2 p_a + ix)p]} \ dp$$ where ##x## ranges from ##-\infty## to ##\infty## and ##t## from ##0## to ##\infty##. ##\sigma##...

Homework Statement I have an integral $$\int_{-\infty}^{0} e^{-(jp - c)^2} \ dp$$ where j and c are complex, which I'd like to write in terms of ## \text{erf}## I'd like to know what would happen to the integral limits as I make the change of variables ##t = jp - c##. 1) As ##p## tends...

The only thing I wish to take from this graph is the intersect of the two lines of best fit. How can I get the uncertainty in this point? While the points appear to have the same uncertainties, they actually each have their own distinct % uncertainty. Would the maximum uncertainty in the X...

Homework Statement I have an empty cylinder with an external diameter of (23.0 ± 0.5) mm, an internal diameter of (22.5 ± 0.5) mm and a height of (60.0 ± 0.5) mm. I need to calculate its volume with its uncertainty/error. Homework Equations The Attempt at a Solution I do it like this...

The big blue circle has been put there by my math prof to denote the location of the error in the following solution. Why is this an error? I'm lost. :(

Homework Statement I experimented with standing waves on an oscillating string, and I was asked to calculate the absolute error of µ (linear mass per unit length). I don't know how to calculate it, so please help me. I loaded 100g, 200g and 300g on the string. Below are tabulated data of the...

Homework Statement Some Background - We are calculating the amount of acetylsalicylic acid in a sample using spectrophotometry. We were told to make sure to include the error in our answer. So first to calculate the moles of acetylsalicylic acid in a measured mass. 0.1620 ± 0.0005g measured...

Homework Statement For a circuit with 3 resistors in series (R1=1.00 kOhms, R2=2.50 kOhms, R3= 4.00 kOhms and Va=12.0 V). A voltmeter was placed across R2 and R3. Calculate the relative error in the voltage reading if the internal resistance of the voltmeter was a) 5000 ohms, b) 50 kOhms, C)...

Hello. I was studying magnetism with the 9th edition of the Serway book and I think that I've found a mistake. In the cathode ray tube example (one of the uploaded pictures) it is said that the force acting on a electron goes downward, but using both right hand rules that they provide in the...

Hi everyone. Given: an asteroid with the mass of 50,000,000 kg, which is moving with the velocity of oh-my-god particle -- 99.99999999999999999999951% of c. Due to relativistic effects, its total kinetic energy will be 1.44 E+36 Joules (Lorentz factor = 3.2 E+11). A hypothetical particle...

There is solid empirical evidence that error in particle physics measurements is not actually distributed in a Guassian manner. Why don't particle physicists routinely use student t error distributions with fat tails that fit the reality of errors in experimental measurement more accurately...

I have defined a series of functions below with the end function `fA` being inserted for a numerical integration. The integration is with respect with one variable so the other arguments are passed as numeric so that the integration method (quad) may proceed import numpy import...

Hello everyone, I don't know how to measure the QBER of BB84 protocol in a realistic experiment.In the most paper show the data which is only the number but do not show the unit of data, what is the unit of these data?

We have the linear system of equations $Ax=b$ with \begin{equation*}A=\begin{pmatrix}0 & 1 & 1 \\ 0.5 & 1.0001 & 3 \\ 1 & 2 & 4\end{pmatrix} \ \ \ \text{ und } \ \ \ b=\begin{pmatrix}2 \\ 3 \\ 4\end{pmatrix}\end{equation*} First, I want to calculate the solution using the Gauss algorithm with...

Homework Statement I have the following integral, $$\frac{1}{\sigma \sqrt{2\pi} t} \int_{-\infty}^{0} \exp[\frac{-1}{2\sigma ^2} (\frac{x-x_0}{t} - p_0)^2]dx$$ that I wish to write in terms of the error function, $$erf(x) = \frac{2}{\sqrt{\pi}} \int_{0}^{x} e^{-g^2}dg$$ However, I can't seem...

Homework Statement I am having a issue with calulating my errors for this particular experiment the reason I will detail below. I have also print sceend in the section of my lab report to show the experimental setup etc. Lab Script So in the lab during the experiment the tesla meter...

I'm not very familiar with statistics, so that's my main problem. I use a least squares software to generate the coordinates of points and their associated 95% error ellipses. If the error ellipses meet a certain pre determined tolerance then I'm done. However, I have a situation where I have...

My question is simple, and I'm only asking it because most places talk about more advanced problems than this one: I've measured the radius of a sphere (a very regular one) with a micrometer of 0.01 mm resolution. I took 3 measures (rotating it between each measure), and all of them were...

Anyone recognise this problem? When looking at posts with (presumably) Latex formulae, I get [Math Processing Error] instead of the formula. It looks like everyone else can read them ok and even stranger, I sometimes see the formula for a brief moment before it is replaced by the message...

Homework Statement I have 3 (n) measurements of the radius of a capillary tube, and I'm wondering whether I should take the STDev of these values and then divide by sqrt(n-1) to obtain a standard error, and use this as my error on the mean... or Do I propagate the apparatus error through and...

I'm currently writing a paper over an experiment I did for class and I have a very stupid question over I need clarification on before I continue. I am using excel to graph out data, and I have determined that the error in my Length is .001 m. However, I am graphing the inverse of length to...

Homework Statement given E is constant, find the uncertainty in the angular frequency, ω. can someone please check my work? Homework EquationsThe Attempt at a Solution

Homework Statement Object launched vertically with v initial =20 m/s. No air resistance. How long does it take to reach its max height? Homework Equations 1/2 at^2 + vot = dy .5mv^2=mgh The Attempt at a Solution I began by using conservation of energy to find the max height. .5mv^2 = mgh...

Hello Please help me, my function is; alpha = [ i1.g2 / (i2.g1) - 1 ] / ( t1-t2 ) I will have to measure i1, i2, g1, g2, t1 and t2 them I made classical error porpagation, but I don't know if this is ok. How is the proper way to calculate the propagation error for alpha?

Hey guys, I'm in a class where we're learning about waveguides, and without going into too much depth, we often solve an equation $$ \tan{(\kappa (\frac{a}{2}))} = \frac{\gamma}{\kappa} $$ for ##\kappa## numerically since there isn't an analytic solution for ##\kappa##. I'm doing a project...

So my answer is off by about 1.16 grams and am wondering if i did something wrong? Question: What mass of silver iodide precipitates when 25.0 ml of 2.30 M silver acetate solution is mixed with 10.0 ml of 2.35 M calcium iodide solution? Given: 0.025 L of 2.30 M AgC2H3O2 = 0.0575 mols acetate...

Hey, I'm trying to propagate my percentage errors through some hefty equations and come up on a bit of snag: I've got a percentage error for x and know how to deal with it for trig functions and powers, however since both errors are from the same source: y = sin(x)^2 / x^2 Should I just...

one side of a right triangle is known to be 12 cm long and the opposite angle is measured as 30°, with a possible error of ±1°. (a) Use differentials to estimate the error in computing the length of the hypotenuse.

So I am doing the charge to mass experiment and determining the relationship between: 1. accelerating voltage and radius formed by the electron beam 2. magnetic field strength and radius formed by electron beam Theoretically I should obtain an equation of the form: r = (1/B) *sqrt(2mV/e) where...

I'm trying to use Maxima to examine the error in a Fourier series as the number of terms increases. I've figured out how to produce a Fourier series and plot partial sums, but this has me stumped. If anyone experienced with the Maxima CAS has some insight into this, I would greatly appreciate...

Homework Statement Homework EquationsThe Attempt at a Solution I am not able to understand how percentage error in R is calculated using the given circuits. Should I assign currents in the branches and write KVL equations ?

Homework Statement Homework EquationsThe Attempt at a Solution My values for i1,i2,and i3 were: -.005179,-.002857 and .004857. When I ran the same circuit through LT Spice the values they gave me were .00059081,.000809628, and .00119037. Where did I make my error? * as a side not I...

When compiling a fortran code (*.f90) i got these errors: 1- Nonnegative width required in format string. 2- Positive width required in format specifier D. In Code::Blocks Ide, these errors are referred in the code to : format( 1000i ) and format ( 1000d ) respectively. How can i solve this?

Hello all First time on the Math side of this great Forum. I need to do a correlation study. There are 3 methods to measure Form Error of a round metal part. The base line is the traditional measuring method that is laborious but of the highest accuracy. A cnc machine measurement machine...

I have just completed a post in the Analysis Forum ... but unfortunately the post cntains a Latex eroor and I cannot determine what it is ... The Latex expression that is the problem is \left\lvert \int_a^b \lvert \gamma^' (t) \rvert \ dt - \sum_{ k = 1 }^m \lvert \gamma^' ( \tau_k ) \rvert...

Here is a screenshot of the question I deleted on stack physics after they directed me to this forum. Eratta: FYI I have tried with g = -9.80 and 58.9 m when the correct solution (I think) is 5.9 rounded two significant figures. Thanks for any help!

Hello, I am given 200,000 surface points in terms of x,y and z coordinates which is supposed to represent a circular paraboloid antenna reflector surface and another 200,000 points when the antenna surface is subjected to wind loads and gravity. I am supposed to find the surface RMS error of...

Homework Statement So this is a problem for my numerical methods class. We are doing integration and derivation. The part that I am stuck on is why does the midpoint method and trapezoidal method both have error of order ##h^2##, when the first one is one point integration method while the...

Homework Statement Three points are given with errors on y coordinates. (2.00,4.70±0.36); (4.00,6.8&±0.45); (5.00, 9.10±0.50) Using LSQ method, find the error on slope. Homework Equations σm = σy√(n/Δ), where σy = √(1/n-2(Σ(yk - y(xk))^2)) and Δ = nΣxk^2 - (Σxk)^2 The Attempt at a Solution I...

Homework Statement "A calculator displays a result as 1.3250780 x10^7 kg. The estimated uncertainty in the result is +/- 2%. How many digits should be included when the result is written?" Homework Equations I'm not sure that there are any relevant equations here, aside from (maybe) Actual...

Homework Statement Please could someone help me with how raw data should be dealt with when using a human operated stop watch. I have attached the information we were given and it makes little sense to me. Homework Equations See attachement The Attempt at a Solution We are constantly reminded...

1. The problem statement, all variables, and given/known data Take the ball and drop it from chest level 5 times recording the times and the height. Do this same procedure once again for knee, waist, and eye level. You should now have four data points for your height and four data points for...

Hey all, I was wondering if anyone had any good tips on debugging mcnp geometry? I'm an intermediate user working on better understanding the program. Does anyone have any tips or tricks that go beyond simply reading the manual?

Hello everyone, I do need your help in this matter, please kindly help me solve this problem I use MCNP5 and i run a simple example using Fmesh4 and Fm, De / Df but I get an error: " fatal error. no tally associated with response function -1" " fatal error. no tally associated with fm card -1...

It has been defined that for an alternating series, the difference between the total sum of the series and the partial sum of the series through nth term is always less than or equal to the (n+1)th term. Can anyone explain the intuitive reason behind this?

Homework Statement In textbook i was given formula to calculate error. I know that: E(t) = f(t)- L(x) = f(t) - f(a)- f'(a)(t- a) [L(x) is linear approximation]; [Lets call this Formula 1] I understand that, but that I have formula: E(x) = f''(s)/2 * (x-a)^2 [lets call this Formula 2] Here...

Hi, I may have discovered a textbook error but I'm no calc whiz. I need an assist to find out if the question unintentionally described a square instead of a rectangle. I have attached the textbooks solution as well as my attempt at a solution. The numbers check out, I just want to make sure...

Hello, I am trying to compile my lateX document but errors appear: ! I can't write on file 'Rapport.pdf'. Please type another file name for output ! Emergency stop l.55 ... obj {<< /pgfprgb (/Pattern /DeviceRGB] >> ! Fatal error occurred, no output pdf file produced! Transcript written on...

Hi, I'm a new member in this forum. my question : How calculated the normalized error with two signals?