Estimate Definition and 350 Threads

Hi all, I would like to estimate from my experimental data what would be the noise of the signal if I could sample at a higher rate. It is possible to do that? Do you have any references to good books that explain this topic? Thank you!

I am interested to know which proper statistical test to use to know the population proportion from a sample taken from the population. For example, a sample of 20 people with 7 persons prefer the red color and 13 prefer the blue color. Which of the following methods should be used to conclude...

I posted a question about Rabi frequency here https://www.physicsforums.com/threads/what-is-rabi-frequency.331082/ some times ago. The replies there answer some of my questions but I am still looking for detail explanation on the relation between Rabi frequency and the power of the beam. I read...

Homework Statement A capacitor is charged to V = 5 kV. A wire is then connected to one plate and is slowly connected to the other. Before actually touching the plate, a spark of length l = 1 cm shoots from the wire to the plate. Using this information, estimate the dielectric breakdown of air...

Homework Statement Try to estimate the latent heat of vaporization of water and nitrogen using the Van der Waals model. What happens? Homework Equations $$ΔQ=TΔS=L$$ $$S=nR[\ln(\frac{(V−nb)T^{3/2}}{nΦ})+\frac{5}{2}]$$The Attempt at a Solution I predict the latent heat of vaporization of...

Homework Statement Homework Equations (mv2)/r=(GMm)/r2 --------(1) r≈8kpc≈2.47×1020m v≈220kms-1 The Attempt at a Solution Using equation (1) and solving for M I got M=(v2r)/G=(4.84×10102.47×1020)/6.67×10-11 M=1.79×1041 kg does this answer seem correct? P.S. This is not a homework...

Homework Statement Try to estimate the latent heat of vaporization of water and nitrogen using the Van der Waals model. What happens? Homework Equations $$\Delta Q = T\Delta S=L$$ $$S=nR\left[ \ln\left(\frac{(V-nb)T^{3/2}}{n\Phi}\right)+\frac{5}{2} \right]$$ The Attempt at a Solution I...

How do I evaluate the price of the vibro-feeder that I'm modifying? I need to find out how much it would cost to create individual parts, i.e. 1.5mm formed steel or aluminum plate etc. I guess I should evaluate raw materials first but how much does the preparation costs, any reliable websites?

Hi, I have a project at uni where I am making an approximate analytical expression for a parameter and comparing the result with more rigorous simulations. The thing is: the parameter I am comparing is the 2d-integral of the results from the simulations over some area, and the simulation results...

Homework Statement The flattening of the Earth is defined as f⊕ ≡ 1 - (Rp - Re) where Re is the radius of the equator and Rp is half of the distance between the North Pole and the South Pole. Estimate the flattening of the Earth. Homework Equations Fg = Gm1m2/r2 The Attempt at a Solution...

I'm working on the following problem and I have made it this far... am I on the correct path or am I doing this incorrectly?? I find series extremely confusing. Also... how do I find the error involved in the improved approximation? This is the series I am working with...

I posted recently on a banned topic, apologies for that. Under advisement of a mentor I've decided to ask a positive question instead, how do scientists estimate the total energy of the universe?"

I am trying to estimate a current which I can get from the photodiode in a simple proximity sensor application having a IR LED emitter and a photo-diode detector. The LED and the photodiode are mounted in the same plane, on a PCB board, and separated about 10mm. If I have a flat Lambertian...

Problem statement In the not-so distant past, authorities recommended leaving the windows to a house open in a tornado to equalize the pressure and avoid blowing off the roof. We can estimate the validity of the advice. Assume the pressure inside the house is one atmosphere. Approximate...

Homework Statement For ln(.8) estimate the number of terms needed in a Taylor polynomial to guarantee an accuracy of 10^-10 using the Taylor inequality theorem. Homework Equations |Rn(x)|<[M(|x-a|)^n+1]/(n+1)! for |x-a|<d. The Attempt at a Solution All I've done so far is take a couple...

During lab I obtained the data in the attached photo. It then asked for me to plot the data and get an estimated FWHMP as well as a "Q" First question is what does FWHMP and Q stand for? Second, where on my graph would I estimate these?

1. Given z=x²+3xy-2y² Estimate the change in z when x changes from 2 to 2,5 and y changes from 3 to 2,52. I am stuck with the math and can't figure it out as what I need to do further.3. a=2 b=3 Δx= +0,5 Δy= -0,5 dz/dx = 2x+3y =2(2)+3(3) =13 dz/dy = 3x-4y =...

I'm designing a testing unit where I need to estimate the smallest diameter of a short complex pipe (around 1 meter, three bends and some diameter viariations). Since the pipe is being cooled down in a water bath after production, my idea is to force water with a known pressure in one end of the...

Homework Statement First, I am a teacher preparing to give a discrete mathematics course, in which I will not do any computing, but the students will (in Python). I want them to make empirical estimates for the growth of their (short) recursive programs by putting in some sort of "counter" in...

I'm working on the design project with my partner for mechanical engineering machine design course. We're modeling the rack and pinion used in power steering system. How do you determine the cost estimate for the rack and pinion? Any specific steps we need to follow?

Homework Statement In classical mechanism, the lowest possible energy accessible to any system is the minimum potential energy, in this case 0. However, quantum mechanically, one finds that there is a zero-point energy (where ground state energy > classical minimum). Fundamentally, zero-point...

Homework Statement If you have data such as time of rotation when arms are extended and the lengths of their folded and extended arms measured from the centre of the skater. I know I1ω1=I2ω2 and can work out ω from the radius and time of rotation. Where can I go from here to estimate the mass...

Homework Statement The standard enthalpy of formation of the metallocene bis(benzene) chromium was measured in a calorimeter. It was found for the reaction Cr(C_6H_6)_2(s) --> Cr(s) + 2(C_6H_6)(g) that \Delta_r U~at~583 K = +8.0 kJ/mol . Find the corresponding reaction enthalpy and estimate...

How do I estimate the pdf from a random variable \(X\) where \(X = U_1 - U_2\) and \(U_i\) are uniform random variables? In the code below, I used unifrnd(-5, 5, 1000, 1) which generated a 1000x1 vector of uniform random number between -5 and 5. How do I estimate the PDF for X? rng; X =...

I have been watching Cosmos and it is talking about how we determined the age of the Earth from meteors, since it's very difficult finding the oldest pieces of Earth otherwise and these are from the creation of the Solar System. Wikipedia: Estimate of the Earth's Age I think there is still...

Hello, I know that the latent heat of a first-order isothermal and isobaric phase transition is in general given by the difference in enthalpies between the two phases, but my question is: do you know if there is there a way to estimate its value "from first principles" for the case of a...

Principle: 10K Interest: 10% compounded annually Time: Over five years What is the total cost of all of this factored in? Could I get the formula so I can use it to apply to a real problem?

use euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of the initial-value problem y'=y(x+1), y(0)=1. round your answer to four decimal places. this is all I've done so far $y'=y(x+1)$ $y(0)=1$ $h=0.1$ $x_{0}=0$ $y_{0}=1$ $x_{1}=x_{0}+h=0+0.1=0.1$...

Hello, I'm trying to size a motor for an application that I'm working on. The application involves winding paper with two motors. One motor will unwind and the other motor will rewind. However, I'm trying to figure out what the motor power rating should be. Here's the worst case scenario...

I have some noisy data (x-y coordinates) containing two distinct clusters of data. Each cluster is centred at an unknown point on the unit circle. How can I estimate these two points (green points in the diagram)? We can assume the noise is Gaussian and noise power is equal in x and y...

Homework Statement Let Y_n be the nth order statistic of a random sample of size n from a distribution with pdf f(x|\theta)=1/\theta from 0 to \theta, zero elsewhere. Take the loss function to be L(\theta, \delta(y))=[\theta-\delta(y_n)]^2. Let \theta be an observed value of the random variable...

Homework Statement Given an insulating case outer surface at 25C, radiates heat to surroundings at 20C. Find temperature inner surface. Homework Equations The Attempt at a Solution The heat is conducted through a thickness of 2.5mm, with a temperature difference of 5oC. Thus...

Consider non-dimensional differential equation for the height at the highest point is given by \begin{equation} h(\mu)= \frac{1}{\mu}- \frac{1}{\mu^2} log_e(1+\mu) \end{equation} $0<\mu<<1.$ Deduce an estimate to $O(\mu)$ for $h(\mu)$ and compare with $t_h(\mu)=1-\frac{\mu}{2}+...$ => I really...

I am lost on how to do these two problems and can't find info on how to solve them anywhere. If anyone can get me on the right track as to how to start, that would be amazing! 1. A 99% confidence interval for a population mean was reported to be 152 to 158. If the standard deviation is 10...

Homework Statement Please look at the attachment, I'm not sure how to go about figuring out the estimated hours of use per week for the appliances, and the Power(wattage) as well. I figured to find out one you would need the other, they are given in the answers section but I need to know how...

How would I estimate the transfer function for transmissibility given this plot: I am told that the data does not include phase information, but assume that the phase is 0 deg at low frequency and -180 deg at high frequency. I must provide a brief rationale for each component of the transfer...

Hey! :o I have the following exercise: Integrate the $g=xyz$ over the cube that is on the first half-quadrant and it is bounded from the levels $x=1, y=1, z=1$. Having the following formula: $ \int \int_A{g(x,y,z)dS}= \int \int_D {g(x,y,z(x,y)) \sqrt{1+z_x^2+z_y^2}dxdy}$ do I have to take...

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...

Homework Statement We have to estimate the ground state energy of an infinite potential well (1d) using an argument based on the Heisenberg uncertainty principal. We then are supposed to compare it with the exact value from the eigenvalue equation. Homework Equations Below The...

Here is the question: I have posted a link there to this thread so the OP can view my work.

Use the midpoint rule to estimate the average velocity of the car during the first 12 seconds. Click here to see the graph from my book. i understand the midpoint rule is $$\frac{b - a}{n}$$ so $$\frac{12}{4} = 3$$ so $$n = 3$$ I also know that $$\frac{1}{12} \int^{12}_{0} v(t)dt $$...

Homework Statement Estimate the required radius of each plate. The plates are separated in air by 0.01mm and has a capacitance of 400pF. There are 4 pairs of plates. Homework Equations c= εrε0*A(n-1)/ d The Attempt at a Solution Find area. Transposing for A A = dc/εrεo A=...

Homework Statement My apologies in advance for the messiness of the equations; the computers available to us do not correctly process the LaTex code. I am tasked with estimating the area under the curve f(x)=x2+1 on the interval [0,2] using 16 partitions. Online calculators and my...

Homework Statement Given that log(2) is roughly 0.30 and log(∏) is roughly 0.5, estimate the values of log(4), log(5), log(6) and log(8). Homework Equations log(ab)=log(a)+log(b) log(a/b)=log(a)-log(b) log(a^n)=nlog(a) The Attempt at a Solution I found log(4) and log(8) using...

Homework Statement using a climate sensitivity of 0.5K per watt per square meter, estimate how much of the .9 c global temperature increase since 1900 could be due to solar forcing who value is the range of .06 to .24 w/m2 Homework Equations The Attempt at a Solution .5 x .06 =...

Homework Statement Suppose that: E(X1) = μ, Var(X1) = 7, E(X2) = μ, Var(X2) = 13, E(X3) = μ, and Var(X3) = 20, and consider the point estimates: μˆ1 = X1/3 + X2/3 + X3/3 μˆ2 = X1/4 + X2/3 + X3/5 μˆ3 = X1/6 + X2/3 + X3/4 + 2 (a) Calculate the bias of each point estimate. Is...

Homework Statement To estimate the temperature of the Saturn' atmosphere? (We need to use rotational spectra of CO)Homework Equations B=\frac{h}{8\pi^2 I C} cm^{-1} The Attempt at a Solution I calculated the rotational constant B of CO. I don't know how to proceed further.

Folks, Please don't flame me for this as it is probably already answered somewhere. How does one estimate the number of stars in a 500pc^3 which have a range of 10^-2 to 0.1 Lsun? I am not a maths head, so simple answer that would have the formula would be great. Thanks

Homework Statement Run-of-the-river projects harness power from the natural flow and elevation drop of a river. In the Brandywine project, water is diverted from the river into a pipe (r=0.75 m) in which it flows down the hill, through the turbine, and returns to the river. The project at...

Introduction : This thread is dedicated to discuss about Hardy-Littlewood's estimate of the $$N_0(T)$$, i.e., the number of critical zeros of the Riemann zeta function with imaginary part smaller than $$T + 1$$. The final result of Hardy-Littlewood estimate shows that there are infinitely many...