An approximation (usually represented by the symbol ?) is an inexact representation of something that is still close enough to be useful. Although approximation is most often applied to numbers, it is also frequently applied to such things as mathematical functions, shapes, and physical laws.
Approximations may be used because incomplete information prevents use of exact representations. Many problems in physics are either too complex to solve analytically, or impossible to solve using the available analytical tools. Thus, even when the exact representation is known, an approximation may yield a sufficiently accurate solution while reducing the complexity of the problem significantly.
For instance, physicists often approximate the shape of the Earth as a sphere even though more accurate representations are possible, because many physical behaviours—e.g. gravity—are much easier to calculate for a sphere than for other shapes.
It is difficult to exactly analyze the motion of several planets orbiting a star, for example, due to the complex interactions of the planets' gravitational effects on each other, so an approximate solution is effected by performing iterations. In the first iteration, the planets' gravitational interactions are ignored, and the star is assumed to be fixed. If a more precise solution is desired, another iteration is then performed, using the positions and motions of the planets as identified in the first iteration, but adding a first-order gravity interaction from each planet on the others. This process may be repeated until a satisfactorily precise solution is obtained. The use of perturbations to correct for the errors can yield more accurate solutions. Simulations of the motions of the planets and the star also yields more accurate solutions.
The estimates i'm looking for are on the start up costs of opening up a radio station from scratch. Not an online radio station. Does anyone know wh...
One of our neighbors backed into the front end of our car and did massive damage. Our car was parked and we were inside our home. We are having a lot ...
I need estimates going out 50 years in the future and am having a hard time finding a reliable source of data. Can anyone help?
Why do business people pay such close attention to the governements GDP quaterly estimates???? Is it so they will know what is hot and what is not?
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After we submit the estimates, is the insurance co. is supposed to send the check to us or they would be paying to the repair contractor directly?
I requested estimates 3 times and the other person's insurance company has not mailed me any information or estimates for damages. Now they have sent ...
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The question asked above is related to a public undertaking company which prepare budget estimates and revised estimates for each year.
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I will be in Toronto and nearby areas in Ontario this July. How much should I allocate per day for expenses such as transportation, meals and other en...
I'm planning on backpacking in the UK for 2-3 weeks in summer 2007. I'm wondering how much money I should plan to have stockpiled before I go, and how...
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I am holding a few stocks that I am a little worried about them meeting their earnings estimates. Is there a way to predict or gain insight into wh...
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I just need the quarterly ones not the yearly. Websites that charge for that information will due as well.
how can you tell ahead of its earnings call if it will reach its earnings estimates
In particular, to be able to download data for 1000-5000 stocks with one command.
I'm looking for an online calculator in which a person can enter square footage for a new construction project/addition and get rough national average...
I have started a construction buss.I want to look official with letter head and so on
I am thinking of building this home http://www.houseplans.com/plan_Details.asp?id=2160 in Wisconsin. The plan costs $1,060. I did cost estimates and t...
such as design and estimates of residential building, commercial building, high rise building, road or bridge construction, steel pole and others.
Know of any company that offer good rates, quality service, certified, bonded, and who will give a free estimate on home remodeling or construction fo...
I have an english assignment on othello. There are 2 quotes that i can choose from. The quotes are shown below. Iago. He is montrous because, face...
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I am planning to sell buttons at this year's Relay for Life as an on-site fund raiser, and I was wondering what I could legally put on them. I was spe...
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My car was in an auto accident, it's still in the tow lot. Will car shops go out to the tow lot to do the estimates?? Or do we have to bring it to t...
One of our neighbors backed into the front end of our car and did massive damage. Our car was parked and we were inside our home. We are having a lot ...
Insurance Companys
...to compare quotes against? Thanks!
What would be the estimate for insurance on each of these cars: 2004 Dodge Challenger 2009 Dodge Challenger I'm 16, 3.9 GPA, no criminal reco...
Is there a WebMD like page for the car? Where you can diagnose what a potential problem is? And to take it a step further, figure out what the service...