Error Definition and 998 Threads

Homework Statement A force of 500N is measured with a possible error of 1N. Its component in a direction 60° away from its line of action is required, where the angle is subject to an error of 0.5°. What (approximately) is the largest possible error in the component? Homework Equations...

Homework Statement I am taking a dataset of intensity vs. frequency (which I'll call dataset I_1), and fitting it with a linear model (I_mod). I want to divide another intensity vs. wavelength data (I_2) by this fitted model to get fractional changes in the second data set compared to the...

My goal is to find the uncertainty δd in the following equation. d=C_1 \frac{1}{\sqrt{V}} \frac{1}{D} C_1 is the collection of constants \frac{2Lhc}{\sqrt{2m_e c^2 }} D is a value measured in meters with an uncertainty δD = 0.001 m and V is a value measured in volts with an uncertainty δV =...

(a) Use Taylor's Theorem to estimate the error in using the Taylor Polynomial of f(x)=sqrt{x} of degree 2 to approximate sqrt{8}. (The answer should be something like 1/2 * 8^{-7/2}. (b) Find a bound on the difference of sin(x) and x- x^{3}/6 + x^{5}/120 for x in [0,1]This is a problem on a...

My compiler doesn't like something about my enumerator declaration. Maybe something else too. I'm trying to figure it out. Code: #include <string> namespace CalcWizConsts { char varChars[] = { 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q'...

Homework Statement A pilot of mass m flies a jet plane on a "loop-the-loop" course by flying in a vertical circle of radius R at a constant speed v. The force that the cockpit seat exerts on the pilot at the top of the loop is (A) mg. (B) mg\left(\frac{v^{2}}{R+1}\right). (C)...

Homework Statement What is the maximum allowable probability of error is a typical digit in order that the (8, 4) Hamming Code can be used with probability .999 that the receiver will not be misled (i.e., 3 or more errors occur) in a single word? Homework Equations...

I saw in a reference "For a system consisting just of one electron, DFT predicts an non-physical self-interaction energy." (Theor Chem Acc (2009) 123:171–182), and thus wrong single electron energy. Does this mean I can quickly conclude whether a specific exchange-correlation functional has been...

Hi all, I got this error: rm -f *.o *.mod *.MOD *.exe *.stackdump main gfortran -g -I/usr/include -c main.f90 gfortran -g -I/usr/include -c subroutines.f90 subroutines.f90:21.16: 10 format(data,'i3.3','.dat') 1 Error: Positive width required in format...

By combining the two equations i should be able to solve for u' and get rid of u'': u_(i-1) = u_i + (-h)*u' + 1/2 * (-h)^2 * u'' + O(h^4) u_(i-2) = u_i + (-2h)*u' + 1/2 * (-2h)^2 * u'' + O(h^4) But i keep getting stuck and can't come up with the answer below. Can anyone help me please...

Hi, I tried to install MATLAB but came across with this problem. How can I figure out it?

So, I have a bunch of errors which need resolving here but majority are based on the "out of bounds" error and hence the topic title :). Would be great if you are able to help me resolve the errors. Quite a newbie with fortran. So please bear with any silly questions that I may throw at you...

Hi to everyone, I am quite new to forum and fortran. Basically, i am trying to calculate the bubble radius using RP model and this is my code: IMPLICIT DOUBLE PRECISION (A-H,O-Z) IMPLICIT INTEGER (I-N) C ! Declare local constant Pi REAL, PARAMETER :: Pi = 3.1415927D0 C...

This is for an experimental physics homework,I am using the latest version of MS Excel. I have a set of data, I perform linear regression on them and it gives me a line y=ax + b. Given that both a and b have physical significance I would like to know how could I know the uncertainty...

1. The problem statement, all vbles and given/known data So I'm going throught the Nova Physics book and I'm wondering if there's a mistake in calculation. The question reads: How much volume does 0.4kg of oxygen gas take up at T= 27 degrees Celsius and P= 12 atm (gas constant R = 0.0821 L...

I found an issue with the fixed point library, and Heiko Oberdiek found the offending code and submitted a correction to fix the problem in the fixed point library. The details can be found here. At present, you can issue the command below to over come the problem. Eventually someone will...

I am currently writing a c++ program to calculate the Value of the Reimann Zeta Function, The problem is At the state its at, when you input a number a + bi it only gives the correct answer to values of a > 1. Can anyone show or link me Riemann's Analytic continuation of the Function so it...

I have several data points with error bars, and these error bars are different sizes for each of the data points. I'd like to fit a model function to them which has non-linear parameters, and be able to get error bars on the model parameters, ie. if my model is something like f(x) = A +...

Homework Statement if the series ∑(n=1, goes to infinity) (-1)^n/(n^3) is approximated by its ninth partial sum, find a bound for truncation error Homework Equations Alternating Series Estimation Thm: If alternating series is CONVERGENT, then truncation error for nth partial sum is less than...

1. Homework Statement An average value of N measurements is defined as: ravg = 1N ∑ ri where i = 1 and it sums up to N measurements By using this expression in the master formula for a general function z = (x1, x2,...) error propagation, we find the δravg error propagation: (δravg)2 =...

Homework Statement A geiger counter measures 750 counts in 5 min a) determine the average counting rate and the standard deviation of the counting rate. b) find the relative error c) How long would you want to count to get a relative error of 1%? Homework Equations standard...

Homework Statement Here is the question (I am only confused about part b): Here is the solution given by my professor: The Attempt at a Solution However, I do not agree with part b and honestly have no clue where they got that formula from. I used the method taught in my class along with a...

Homework Statement Determine the system type for $$ G(s) = \frac{K}{(s + 1)(10s + 1)(20s + 1)} $$Homework Equations I am using a step, ramp, and parabolic inputs. That is, \begin{align} R(s) &= \frac{R}{s}\\ R(s) &= \frac{R}{s^2}\\ R(s) &= \frac{R}{s^3} \end{align} The Attempt at a Solution...

Hi guys, I am having trouble showing that \mathbb{E}\left[(Y-\mathbb{E}[Y|X])^{2}\right]=0. I understand the proof of why E[Y|X] minimizes the mean square error, but I cannot understand why it is then equal to zero. I tried multiplying out the square to get...

Hello all, I used the micrometer in my lab that has a resolution of 100 nm. so, my measurement looks something like, 0.2345 mm, with an uncertainty of 0.00005 mm. But I don't want to write, (0.2345 +/- 0.00005)mm in my data table because it just looks a little awkward to have so many...

the bk did not give an answer for this but my TI-nspire gave what is shown, however I don't know where the - sign (see red arrow) comes from. I looked at the steps given in W|A but thot all the substitution was not needed to solve this.

Hi, I have written a fortran 90 program that finds the definite integral of a function using the trapezium method. Everything is fine, other than when I compile my program it produces the following error: assignment_2_final.f90:127.2: ITRAP = (z/2)((G(a) + G(b)) + z*area) 1...

Homework Statement Problem # 30 in Ch1 Section 16 in Mary L. Boas' Math Methods in the Physical Sciences It is clear that you (or your computer) can’t find the sum of an infinite series just by adding up the terms one by one. For example, to get \zeta (1.1)=\sum _{ n=1 }^{ \infty }{...

Homework Statement X is a random variable of binomial distribution of parameter n=10 and unknown parameter p. Hypotheses are given as follows: H_0 \;\; : \;\; p=0.6 H_1 \;\; : \;\; p \neq 0.6 Suppose rejection region for H_0 is \{X \leq 1\} \cup \{X \geq 9\} Question 1: What is...

Homework Statement Finding error in kinetic energyHomework Equations K = \frac{1}{2} m v2The Attempt at a Solution Measured mass and velocities have errors in them. So we have to use derivative method to calculate uncertainty in KE which is to find the square root of the derivatives of K...

Fortran Error "Unexpected data declaration statement" Hi all, I'm writing a program to perform a linear inversion on a set of magnetic data. I'm fairly new to Fortran, but I have coded Fourier and wavelet transformation programs in it. I'm having a problem when trying to declare my variable...

Homework Statement This is problem 1.14.8 in Mary Boas: Math for Phys. Sci. Estimate the error if f(x)=\sum _{ n=1 }^{ \infty }{ \frac { { x }^{ n } }{ { n }^{ 3 } } } is approximated by the sum of its first three terms for |x| < 1/2 . Homework Equations Error\quad <\quad...

I'm trying to solve this ODE R'(t)=\frac{-a}{R(t)^2} numerically in Mathematica (a, b are non-zero constants). Here's what I have: NDSolve[{R'[t]==-a/R[t]^2, R[0]==b, WhenEvent[R[t]==0, end=t; "StopIntegration"]}, R, {t,0,1}] It's returning with NDSolve:::ndnum : Encountered...

A co worker has the following equation: 3e^{-.5y} +3e^{-y} + 3e^{-1.5y} + 103e^{-2y} =98.39 Solve for y. Some sort of compound interest bond equation I am told, or something like that. He has been told that to solve for y, one must use a trial and error approach. True??

On page 161 of Carroll's Spacetime and Geometry, Carroll writes that \delta g_{\mu\nu}=-g_{\mu\rho}g_{\nu\sigma}\delta g^{\rho\sigma}. ##\delta g_{\alpha \beta}## denotes an arbitrary, infinitesimal variation of the metric. Why is there a minus sign? By the regular rules of raising and...

Hi, so I'm currently writing a lab report and need to determine the error in the value of my graphs gradient, m. I have found the maximum and minimum gradient from the 'worst' lines of fit but am lost where to go from there. My data analysis/statistics lecture notes are no help on this topic...

This message appeared when I logged in today.It came from Internet download manager and Adobe reader. which are set to auto-start on user start up. I manually tried to open Internet download manager and still got the same error. I have never seen such a thing. I suspect this is caused by...

Hello, If I have a measurement of 1cm, and have an absolute error of 0.1 cm, I know that I can write my measurement as (1±0.1)cm. If I want to write it with its relative error instead of an absolute error, can I still use the bracket? i.e) (1±10%)cm ? Thank you!

Triangle ABC is an equilateral triangle with side 4 cm long which is measured corrected to the nearest cm. Find the percentage error of the perimeter of triangle ABC.The Attempt at a Solution Is [(0.5 x 2 x 3) / 12] x 100% correct? the '2' here is the measurement errors of the starting pt and...

Hi everyone, hopefully someone can help For an vector AR(1) model of the form y(t)=Ay(t-1) + et How does one estimate the variance of the white noise input. I was under the impression that one can simply use the residual of the model fit and estimate the variance from this, when I do a...

Hey! :rolleyes: I have also an other question :o Suppose the base $\beta =10$ ,the precision $t=3$, $-L=U=10$ and $$A=(317+0.3)-(171.499+145.501)$$ I have to find the relative error for $A$. We don't make rounding.For example,if we have the value $345.924$ it is equal to $0.345924*10^3$ and the...

FORTRAN error "array bound is not scalar integer" I'd like to know if a loop can be created, inside which I can call a subroutine in which there are arrays to be defined whose size varies as a function of loop variable. I tried as following, but got error "array bound is not scalar integer"...

Hey :o ! Could you help me at the following exercise? $k, n \in \mathbb{N}$ $f(x)=cos(k \pi x), x \in [0,1]$ $x_i=ih, i=0,1,2,...,n, h=\frac{1}{n}$ Let $p \in \mathbb{P}_n$ the Lagrange interpolating polynomials of $f$ at the points $x_i$. Calculate an upper bound of the maximum error...

Homework Statement ## \int_0^2 z^2lnzdz ## 2. The attempt at a solution ## u = lnz, dz = zdu, lim_{t→-∞}\int_t^{ln2} ue^udu ## ## lim_{t→-∞}ue^u - e^u l^{ln2}_t ## ##2(ln2 - 1) - lim_{t→-∞}\frac {t-1}{e^{-t}} ## Using l'Hospital's rule: ##2(ln2 - 1)## This is incorrect though...

Find the mean square error using the pseudo inverse approach. I am given a 11X9 matrix A, a 11X1 vector F and R = 11X11 diagonal matrix so Rhat = A[(A'A)^-1 ]A' R . Then I get a 11X11 matrix. Shouldn't I get getting a 8X11 matrix How do I get the most optimum vector F?

Hello! :) I am looking at the following exercise: Let the linear system $Ax=b$ with $\begin{pmatrix} 2.001 & 2\\ 2& 2 \end{pmatrix}$ ,$b=\begin{bmatrix} 2.001 &2 \end{bmatrix}^T$ and y an approximate solution,so that $Ay-b=\begin{bmatrix} 0.001 &0 \end{bmatrix}^T$ .Find an upper bound of the...

So I am a little confused about how to calculate the error uncertainty of a slope. Let's say I have data points (1,2), (2,2.75), (3,3.75), (4,4.7), (5,5.5) which when put in excel gives me a slope of .895. Let's say the error uncertainty for every point is +/-0.1. What I used to do is subtract...

calculate the absolute error of a) 0.0342 m +- 5% b) 0.0342 m +- 0.5% Did I do these correctly? a) 0.342*.05=1.71 so round it to 2 m b) .0342*.005=1.71 (there was a 10^something after these numbers on the calculator) so round it up to 2 meters again Did I do those correctly?

Hi! I get an error when trying to compile my program: test8.f95:26.8: BMat = BMatScal(InverseJacobian, ShapeFuncDeriv) 1 Error: Function 'bmatscal' at (1) has no IMPLICIT type I don't know why it complains because I specified type of the function in its definition (please see...

say i have some vector ##\vec{v}## multiplied by a scalar k. the norm of ##\vec{v}## would be just ##||\vec{v}||## and the norm of ##k\vec{v}## is claimed to be ##|k|||\vec{v}||## ie, ##||k\vec{v}||=|k|||\vec{v}||## ie the sign of the constant is irrelevant. when i work it out...