Error Definition and 998 Threads

So I have a series of 5 data points let's say that they are (1,1),(2,3),(3,4),(4,4.5),(5,4.75) that create a power function that has the equation y=1.2x^.97. Let's also say that the error uncertainty for every number is 0.1. I know that for a linear line you can take the uncertainty of the...

Here is my code Nl = 10^(49) ; Nh = 100 ; b = 4*10^(-13) ; Rs = N[((3 Nl)/(4 Pi b Nh^2))^(1/3)]; a = 6*10^(-18) ; Solve[x/(4 Pi r^2) E^(-Nh a x) a Nl == (1 - x)^2 b Nh, x]When I run it, it shows the error: "Solve::nsmet: This system cannot be solved with the methods available to Solve. >>"...

I have been debating with a few other people on another board, regarding the correct way to calculate the mean average of a list of values, where those values are recorded temperatures. A great many people seem to believe, for example, that if each temperature reading is accurate to +/- 0.5°...

Limit proof that 1=0 -- Where is the error? \lim_{n\to\infty } 1=\lim_{n\to\infty }\frac{n}{n}=\lim_{n\to\infty }\frac{\overbrace{1+1+\ldots+1}^{n \text{ times}}}{n}=\lim_{n\to\infty }\frac{1}{n} + \lim_{n\to\infty }\frac{1}{n} + \ldots=0 I have a feeling it is in the step where you split...

Homework Statement A physics student with too much free time drops a water melon from the roof of a building. He hears the sound of the watermelon going "splat" 2.50s later. How high is the building? the speed of sound is 340 m/s. Ignore air resistance. Homework Equations D= Vt (to find how...

1) For gravitational potential energy: ##F(r)=-\frac{\gamma M m}{r^2}##. 2) For potential energy of a conservative force-field: ##-\nabla E_p = F##. So the gradient of the potential energy is always equal to the force in that direction, just with the opposite sign. So when you move in the...

Homework Statement Let x=5.234+/-0.0005 and y=5.123+/-0.0005. Find the percentage error of the difference a=x-y when relative errors deltax=deltay=0.0001. Homework Equations I think a=0.111 because 5.234-5.123=0.111 and +/-0.0005 cancel each other out. But how do I find the answer from...

I was working with a much longer equation and receiving a result I didn't expect, and finally narrowed it down to the following section: 2(-2^3)-3(-2^2) 2(-2^3) is correctly calculated as -16 independently, and 3(-2^2) is correctly calculated as 12 (again, independently) for a difference...

Homework Statement Suppose we measure N pairs of values (xi, yi) of two variables x and y that are supposed to statisfy a linear relation y = A + Bx suppose the xi have negligible uncertainty and the yi have different uncertainties \sigma_{i}. We can define the weight of the ith measurement as...

∫√(16-9χ²) dx this is what I tried let 9/16 χ² = sin² then x=4/3(sinu) and u=arcsin(3/4x) and dx=4/3(cosu) du ∫√(16(1-sin²u) )x 4/3(cosu) du ∫16/3 cos²u du ∫8/3(cos2u + 1) du 4/3(sin2u) +8/3 u +k 4/3(2sinucosu) +8/3 u +k 8/3...

Homework Statement I wasn't sure where to post this question. I hope I picked the right section of the forums. This is from intermediate lab. The lab is for Bragg diffraction using microwaves. The grazing angle is a measured quantity along with the voltage (which was measured using an...

Hi, I'm totally new to MATLAB and tried this for loop for K = 1:10 disp(abs(tan(K))) end it displays 1.5574 2.1850 0.14255 1.1578 3.3805 0.29101 0.87145 6.7997 0.45232 0.64836 1.5574 2.1850 0.14255 1.1578 3.3805 0.29101 0.87145 6.7997 0.45232 0.64836 Why did it display...

Hello all. I have been at this layout all day and I have seriously had it. So half way through the day I realized and confirmed that it is the source to body connection of the middle pmos that is missing (i think), the problem is I don't know how to make that connection! Simple, but I have tried...

Homework Statement Find piston velocity and Find angular velocity AB about A. I apologise if the image is poor! If very bad I'll elaborate in writing the values... Homework Equations Draw a velocity vector diagram to solve the above. Also use 2∏RPM / 60 to convert crank speed...

I learned this a while ago in my calculus 2 class and I was just thinking about it... Where do these error equations for each of the approximation rules come from? Like for example, where does the error for the Simpson's rule, $$|E_{S}|\le \frac{M(b-a)^{5}}{180n^{4}}$$ come from? Also, why even...

[C++] COMPILER ERROR: "error: expected ']' before ';' token" I'm getting 3 errors on the line usi bA_indx_val = _booArr[indx/USI_BITS]; denoted in my code. error: expected ']' before ';' token error: expected primary-expression before ']' token error: expected ';' before ']' token Can't...

Homework Statement The position of an object traveling in a straight line at time t is given by s(t) = (2/3)t^2 + 4t^2 + 6t + 2. What's the displacement after 3 seconds? Homework Equations Displacement is final position minus initial position. The Attempt at a Solution Displacement at...

Hi All, In doing some practice RLC series circuit question, I have been obtaining incorrect values for active and reactive power. The magnitudes I obtain are correct however the sign of the value is not. I have attributed this to obtaining an incorrect argument for the absolute power, or...

Homework Statement What is the error of the y-intercept and gradient of a fitted line? The line is fitted to some number of data points each with a known error in the x and y values. More specifically, I have fitted a linear equation to some data points using Microsoft Excel LINEST, and the...

Homework Statement Use Differentials to show that an error of 2% in the measurement of the side of a square results in an error of approximately 4% in the calculation of the area Homework Equations I'm using Area =(sΔx)^2 The Attempt at a Solution Using Δx=0.02, Area=...

So I took a series of measurements, where the reading error for the measurements are either ±0.01 mm or ±0.02 mm or ±0.03 mm or ±0.04 mm. Now, I can calculate the estimated mean of the measurements by x_est=Ʃ x_i / N, where x_i is the i th measurement. Then I can propagate the errors in the...

Hi, Okay, I'm in a bit of a rush: Can you put error bars on INDIVIDUAL points in Excel? I found the "custom" setting for the error bars, but you can only add custom error bars for ALL points. I'm looking for a way to mark errors for each point individually. Is there any way to do that? I...

Hi, Homework Statement Interpolation for the function f(x)=cos(x) for evenly distributed values of x in [0,π] (h=xi+1-xi, xi=ih, i=0,1,...,πh) is carried out. Also known are f(xi). I am asked to determine the value of h so that the interpolation's error is ≤ 5*10-8. Homework Equations...

Homework Statement Not exactly a homework question, but rather a section in Statistical Data Analysis: Suppose there is a pdf y(x)[/SUB] that is not completely known, but μi and Vij are known: Homework Equations The Attempt at a Solution I understand how <y(x)> ≈ y(μ), My confusion: Why...

I need to use the asymptotic error formula for the trapezoidal rule to estimate the number n of subdivisions to evaluate $\int_{0}^{2}e^{-x^2}dx$ to the accuracy $\epsilon=10^{-10}$. I also need to find the approximate integral in this case. I would like to know if my attempt is correct. Thanks...

Help with error analysis! urgently needed Homework Statement Using the theoretical prediction of t, find the errors of both t and x, . The problem is based on an experiment I did in Labs, In which a small metal ball was fired at 40° (uncertainty 0.5°) to the horizontal, at a height,y= 1.095m...

Homework Statement How many significant digits does the number 3568 +/- 42 have? Homework Equations The Attempt at a Solution The true value is ranging between 3526 and 3610. Why is there two significant digits and not one? I can't even find a specific definition of significant...

import java.util.Scanner; import java.io.FileNotFoundException; import java.io.FileReader; import java.io.IOException; import java.io.PrintWriter; public class CountryPopulationReverse{ public static void main(String args[])throws FileNotFoundException { //Variable...

My plot seems wrong so I am not sure what the problem is: (a) mistake in sol (b) mistake in coding. A clamped, uniform string under tension \(T\) has length \(\ell\). The string is struck in the middle, giving an initial tranverse velocity distribution \[...

Hello, Please view attachment! Thanks!

Dear all, I want to read file "d1.dat": 1.025000+7 5.794453+0 1.050000+7 5.770080+0 1.075000+7 5.750135+0 1.100000+7 5.734860+0 1.125000+7 5.724448+0 1.150000+7 5.719060+0 1.175000+7 5.718829+0 1.200000+7 5.723865+0 1.219440+7 5.730802+0 1.225000+7 5.732945+0 1.250000+7 5.743325+0...

Homework Statement I did a lab on the collection of butane over water to calculate the molar mass. In one trial, the measured molar mass was 20 g/mol, however, the accepted value for butane is 58.14 g/mol. This means the percent error is -70%. Why is it so high, assuming there is no relevant...

There isn't a problem question really, but I think this section is most appropriate since this is a question born out of my lab module. To calculate the gradient of a line of best fit for a set of data you can use the equation M = n \sumxy - \sumx\sumy / n\sumx2 - (\sumx)2 Where...

(Mods, I posted a similar thread in the computer science forum but now realize that this is a more suitable place for it. Could you please remove said thread from the other forum) I've attached a photo below of the example. 0.2 is the number that we're trying to approximate as a floating...

Hello, I need help for programming my first program in Fortran, because it doesn't run. I think it's a problem with the compiler. What do you think? This is my code program Steifigkeitsmatrix implicit none real :: E,I,l,p real...

This isn't a homework problem. I'm just having ALOT of trouble understanding how to do error propogation. [EDIT] These are actually lab results. But its not a "homework" question. Its how to do uncertainty. Just trying to be clear. Consider we take different measurements of an objects...

Hello, I don't seem to know how to ask google this question so I thought I'd see if I could get an answer from here. Say I have 400 measurements of some variable. I take a sliding window of 50 events and take the standard deviation of each set of 50 events. That would be 350 measurements. Now...

Homework Statement Two Sides of a triangular plate are measured as 125mm and 160mm, each to the nearest millimetre. The included angle is quoted as 60+-1. Calculate the length of the remaining side and the maximum possible error in this result My first question is to the nearest millimetre...

In order to plot the error vs the change in 1/dx, I need to integrate the the solution with different a dx and take the max error. However, I don't know how I can set this up in python or matlab. In python, my code for just one dx is: import numpy as np L = 80.0 N = 512 dt = 0.0002 tmax = 10...

Consider a physical quantity e.g. w,related to some other quantities by w=f(x,y,z) . Imagine an experiment is done for finding the value of w and the measurement errors for x,y and z are known. I want to know what is the standard method for calculating the error in w resulting from the errors...

Hi folks, I have a rather simple question on error propagation - I have 2 sets of models, where the results from model are used as variables in the next model. I need to know how to carry forward errors from one to another. Case - Model 1: Y = a*exp(b*X) + c The errors on X (which is a...

hi. I am new at maxwell 2D and 3D. i found some pdfs and examples. I am working on the rotational actuator example which in that pdf 1. and i got an error: Fatal internal error (2:14:49 Eyl 09, 2013) Simulation completed with execution error on server: Local Machine. (2:14:49 Eyl 09, 2013)...

I'm new to Fortran, trying to run this program but when I enter the variables it gives me an error 112. Please help me find where is the mistake. I copied the program from an old book. DIMENSION S(50),V(50) ! Element stress and velocity DIMENSION U(51) ! Nodal displacement ! Double...

According to Griffiths QM book, after he derived the stationary state solutions to the Schrodinger equation for a particle in an infinite potential well, which are just functions of sine, he claims that these stationary solutions are orthogonal and complete. I agree that they are orthogonal...

Homework Statement The ground energy can be approximated as E_{1}^{(1)}\approx-\frac{4b^2}{a_0^2}E_R Find the largest value of b that would be consistent with the ground-state energy of a hydrogen atom that agrees with the predictions of the Coulomb model to one part in a thousand...

mcnp error "the new source has overrun the old source" I am a beginner with MCNP. This error really confused me. Who knows what this error means? Thank you.

FORTRAN Problem! "Runtime Error: End of File" Hey everyone, back again with another Fortran question. I am getting the runtime error in Fortran "End of Line". I have tried to simply understand what this means, but I am not getting much help from Google. I have pasted my code below, and...

\renewcommand{\vec}[1]{\mathbf{#1}} Here is an excerpt from the text: "[...]Theorem 12.5 The only finite symmetry groups in ℝ^2 are \mathbb{Z}_n and D_n. PROOF. Any finite symmetry group G in \mathbb{R}^2 must be a finite subgroup of O(2); otherwise, G would have an element in E(2) of...

State and justify the techniques you would use to reduce the errors of the following. Each explanation should show a clear understanding of why the technique is relevant in the particular situation. 1. Measure the time it takes for a ping pong ball to drop from a height of 50 cm and bounce 3...

State and justify the techniques you would use to reduce the errors of the following. Each explanation should show a clear understanding of why the technique is relevant in the particular situation. 1. Measure the time it takes for a ping pong ball to drop from a height of 50 cm and bounce 3...