Accuracy Definition and 236 Threads

Homework Statement http://img853.imageshack.us/img853/5578/euler.png Homework Equations y_(n+1)=y_n+f(x_n,y_n)h The Attempt at a Solution With n = 100 and step size h = 0.01, I got y_100 = 3.1515 I don't see how this is right, because the directions imply that it's supposed to be accurate...

Homework Statement "Explain the difference between the machine accuracy, the smallest representable number, and the smallest normalized number in a floating point system".Homework Equations There is the bit-representation of floating numbers: (-1)^S * M * b^(E-e), using the fact that we can...

Hi, I would like to use a Hall Sensor (e.g. http://fwbell.com/Category/2.aspx) or a Hall Element IC, like the AD22151 device for magnetic field measurement with a range from 0 to ca. 0,5 mT with a resolution of 250 nT. (500 ppm) The temperature fluctuations are max 1 C. Do you think I can...

Crystal Oscillators -- accuracy versus temperature I have done quite a lot of desk research and spoken to a few manufacturers, but I am still not clear about the specifications for crystal oscillators and I hope someone can help me out. It is a multi-part question. 1) The accuracy of an XO...

Hi folks I would like to know maybe someone has some insight if you make a circuit in multisim (I have the 12 edition) and u go through everything then you run the simulation and it shows that all is ok and working like you thought it should what are the chances that multisim could be lying? I...

Homework Statement One uses the approximation sin(x) = x to calculate the oscillation period of a simple gravity pendulum. Which is the maximal angle of deflection (in degree) such that this approximation is accurate to a) 10%, b) 1%, c) 0.1%. You can estimate the accuracy by using the next...

Homework Statement Use a graphing calculator or computer to verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Round the answers to two decimal places.) tan(x) ≈ x Homework Equations derivative...

Homework Statement Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. e^x ≈ 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} For x < 0 Homework Equations Taylor's Theorem to approximate a remainder: |R(x)| =...

I have 5 boxes with tools. I made an inventory of the number of the tools that exist in the boxes. I have the results of the inventory but I didnt count the correct number of the tools that were existed in the boxes. the actual number of the tools is: box 1 = 5 tools box 2 = 4 tools...

My task is to estimate / compute accuracy of a gps receiver. My experiment would involve using three GPS receivers and post processing software. following is the nomenclature i would follow for explaining my question. Normal GPS receiver: This is the receiver in test, a simple 12 channel...

Resolution is the smallest change that can be measured by an instrument. Accuracy is the closeness of a measured value its 'true' value. Precision is essentially related to repeatability when you try to do the same measurement a few times. Forget precision for now. We know the terms...

I was debating a friend and we started running numbers for the statistical accuracy of half-lives. I am a numbers guy(Accountant/Statistical Analysis), not a chemist. He is a scientist and his wife is a chemical engineer. Here is my question: If we have been studying half lives of...

To get the value of g, the period(T), length of pendulum (l) and radius of pendulum bob (a) were measured. Well, my question is actually to find which accuracy of one of these measurements need to be improved? The formulae given to find the probable error are ε _gT = (partial differentiation...

The general question that I am interested in, is to obtain the number of bits of information one can infer about the horizon by placing measuing apparatus only in a Region of size D. I Imagine a telescore of diameter D that(or devices of that general nature) The standard Theory says that*...

Hi, could anyone try to explain one thing about the Heisenberg Uncertainty Principle I don't understand? The principle says is impossible to measure the position and momentum of a small particle with absolute accuracy. But this doesn't mean the particle doesn't have a definite position and...

Dear all, I have a specification from a tool, which says, 80% of the reported measurements are within plus or minus 10% of the actual, at 95% confidence level. I am trying to make sense out of this statement. Assuming a normal distribution, please can someone tell me how to interpret...

Hello all, I'm looking to buy an accurate K Type thermocouple and I have a couple questions concerning accuracy before I make my decision. -If it is a K Type thermocouple, does it matter how the probe is configured? e.g. length etc.? -Is there any discrepency in accuracy between different...

How accurate does the GPS on your phone tend to be? When I'm outside, under good conditions I can see impressive accuracy, especially considering the precision of the measurements. I walked to the left of a building this afternoon, out by the parking lot. The phone thought I was positioned...

【what] does it mean by the term" approximate to four decimal place accuracy" hey I have a question. What does it mean by the term " approximate to four decimal place accuracy". For instance, I want to approximate cos(pi/5) to four decimal place using the macluarin series. The actual value of...

Hi, All: I have the following problem: My department head wants to accurately estimate class attendance, as a measure of the effectiveness of my teaching. For that, I used to take attendance weekly, i.e., once each week, selecting the day at random, from which I would construct...

Homework Statement The problem along with its detailed solution are attached. Homework Equations Inequality, infinite summation and improper integral. The Attempt at a Solution I'm following the solution but I can't justify the first (and only) less-than-or-equal sign. Why is that...

My book defines accuracy as the closeness of a measurement to the real/actual value, precision as when a set of values are consistent with each other (i.e. close to each other) and sensitivity as the smallest possible reading of an instrument (i.e. to how many decimal places it can measure)...

My buddy and I are planning on doing a shooting competition at our local gun club and need some help. I have asked around school (i am a junior in college) but no one seems to be able to come up with a formula for me. I am looking for a formula to figure out how much to lead a moving target by...

I am looking for a schematic diagram of a compact, temperature compensated, stabilized, high precision (accuracy within 0.5% or less) current source. The target current should be easily set to 100/150 mA, no matter if discrete or integrated solutions must be used. This project will be...

I'm looking to use the MAX31855 thermocouple-to-digital converter, to measure temperatures in the range of 0-350C. According to the manufacturer, the ADC inside the chip is identical for every different type of thermocouple, just a different sensitivity is programmed in depending on the type of...

Hello all. I am looking over various strain gauges as I need to purchase one for my project. However, I have never worked with them before, and I cannot seem to figure out how to know its accuracy (able to detect a certain change in pressure, for example changes of the scale of 1mmHg) ...

Homework Statement I have to find eigenvalues to \frac{d^2y}{dx^2} + p^2 e^x y = 0,\, y(0)=0,y(1)=0 using the Runge-Kutta single step method to solve the ODE (splitting it up), with step length h and then another numerical method. This is not a problem. However, I need to be able to find...

http://www.theregister.co.uk/2011/09/22/cern_coverity/"]CERN's[/PLAIN] boson hunters tackle big data bug infestation It's the software or the science that's been wrong One's analysis when processing experimental data must account for possible errors in the tools used to identify and detect...

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Hi please forgive me if you find that this is not the correct place, but since my work is of experimental nuclear physics and I didn't find a sub.forum in math neither engineering I decide to post here. Here is the question: in any track detector, the spatial accuracy of the detector is...

Hello, I need to calculate how accurate a GPS system is using only Special Relativity and a very basic knowledge of GR (without tensors...which is limited). I'm not sure where to begin however... where does the uncertainty in the measurement come from? How can I calculate the size of the...

I want to find out the potential difference between two given points with maximum accuracy. Which one should i choose and why. I think both will work fine in most of the cases.

hi all, Real life industry question... An accurately calibrated cylinder of compressed gas sample of Hydrogen (certified 2% H2 and air 98%) is used to calibrate a hydrogen sensor by turning on its top regulator sample tap. It can be used for numerous calibration runs until it is empty. As H2...

Homework Statement Calculate each of the following to the required level of accuracy given that each number, other than those indicated in brackets, has been obtained by measurement. a) (3.142*1.95)/6*(3*5.44^2+1.95^2) (power 2, divisor 6, multiplier 3) b) (3.142*1.234)/12*(...

Hello, I'm doing an experiment on the speed of light, and had a simple question. The manual says accuracy should be within 5% - does this mean the same as my percent error being within 5% ? percent error being (V-E)/V*100% (V is accepted value, E is measured value) thanks!

Hello we have a number of oscilloscopes with 1.5% vertical accuracy (DPO-4032) we would like to improve (reduce) this number, to improve the quality of our tests. someone has proposed using a DMM (Fluke 45) to "calibrate" the oscilloscope and impart the DMM's much better accuracy of...

Hello, I am confused as to how to determine the accuracy of a measurement of an AC signal from a Data Acquistion Board. I went to NI's website to look at the the specifications of the board I was using (a USB-6009) http://sine.ni.com/ds/app/doc/p/id/ds-218/lang/en#header0", and I don't know...

Rocket design --300km range, 5-15kg payload, 200mg accuracy Hi, I'm working on a project for a mech engineering class where we have to design a remote control vehicle to carry a small payload 300km. It must be able to survive rain, crosswind speeds up to 70km/h, temperatures up to 50 degree...

Homework Statement An 2000kg car is traveling with a speed of (22 (+/-) 0.25) m/s. With what maximum accuracy can its position be determined? Homework Equations (deltaX)(deltaP)>=h/2pi The Attempt at a Solution My attempt was solving for deltaX in the above equation. I used...

How i am going to confirm or make sure the accurate of thermocouple before i use it for measurement in experiment? Is it ok if ... I put it in ice in order to get 0 Celsius and put in boiling water to get 100 Celsius? In the idea case, i should get 0 and 100 Celsius from thermometer.. but...

Hello, can someone please explain what exactly is meant when it is said that some measurement is accurate to some value RMS? Eg, "suppose that we have a bucketful of nominally 100-ohm resistors, accurate to 1 percent RMS" or, "we shall use an ohmmeter with an accuracy of 3 ohms RMS...

May I ask what is needed to be computed in order to compare the estimators of the population mean \bar{y}_{N}, in terms of accuracy? That is to compare the multivariate ratio estimator \bar{y}_{RM} with the Y-only estimator \bar{y}_{n} in terms of accuracy.

Does time have infinite accuracy? If so, how does time get past 1 second? Doesn't it get stuck at 0,111111 ... ? If not, how does time pass from one measuring unit to another?

hello I have some questions which I was struggeling with 1. Is percentage error the same as percentage uncertainty? Because percentage error is a measurement of accuracy and is percentage uncertainty also a measure of accuracy? 2. How do percentage uncertainty and percentage difference affect...

Hi, why does a sensor, eg a temperature sensor, have an accuracy? Is it just because of a random error, or something intrinsic to the sensor itself and is it related with the resolution?

I'm using a capacitance meter that has 3 1/2 digits of display and lists the accuracy of its 200pf scale as follows: ±0.5% ±20 digit The ±0.5% is simple enough but I've not found something on how exactly to interpret +/- 20 digits of accuracy. I think it means as follows - can anyone...

I've read the following statement: "Fractional instability of some pulsars is comparable with the one of atomic standards and reaches the level 10^{-15}" This was the first sentence of the paper of Alexander Rodin: Detection of GW by pulsar timing But no citation in there. 1) Could you...

Hello everyone. I'm studying to become a laboratory analyst and I've recently began my studies in microbiology. My studies began with chemistry and now that the focus in my studies has shifted to microbiology for a bit, I see a sudden drop in required accuracy in results of our analysis. I'm...

Let me start off with, I took calculus in high school 11 years ago. I'm now studying again to clep out of the class and want to verify that I'm remembering / learning things properly. Homework Statement Evaluate the difference quotient for the given function. Simplify your answer.Homework...

Theory based; Using a pendulum to determine g Method: 1. Set up the retort stand and clamp on the edge of a desk. Tie on the string and adjust its length to about 90cm before attaching a 50g mass carrier. 2. Using the metre rule, carefully measure the length of the pendulum from the knot...