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.
*Thanks everyone who helped solve my last Math problem.!!* Kelly saw this AD "THE DRESS PLACE "ALL ITEMS 10% TO 50% OFF!". She has b...
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?
My furnace started acting up in March, so I decided I should get 3 or 4 estimates and put a new one in. Thats before my medical problems started. I ...
We're buying our first house & our mortgage guy estimated our costs for house insurance should be $400-500. We've gotten two estimates & they...
For example if my insurance estimated $3k damage, would the shop estimate $3K as well?
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...
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 ...
I need to learn ASAP everything I can about Home Remodeling and Improvements. Especially Sunrooms, construction, design, how to build, prepare estima...
We just bought a home, and since our weather is becoming warmer, we decided to see how the AC unit was operating which it is not. We are now in need o...
I'm thinking of buying a house and I am trying to get every dollar accounted for in a given month. What are some average monthly gas, electric and wat...
The seller has already accepted our offer. We have an engineering inspection tomorrow, but would like a contractor to come out today to estimate a pr...
What problems might arise if a firm relies solely on management estimates in preparing the master budget?
The question asked above is related to a public undertaking company which prepare budget estimates and revised estimates for each year.
We’re trying to save money but not going out so much and instead buying groceries. There are only two of us at home (no kids). Is there a website ...
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 will in Australia for all of October, and I'm wondering what a good estimate might be. I will backpacking part of the time, and going as cheaply as ...
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...
I want to see price targets, EPS estimates, and such for each analyst that follows a specific company. Rather, I want to see what each analyst that f...
With Intel, IBM, and Cisco all beating in their last earnings reports, I really don't see any slowdown in tech spending. In fact I see tech solutions...
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 got friends and people who will work for me doing remodeling/drywall/painting. I have done all this before also. The thing is I do not know how...
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...
2 independent estimates are to be made on a building damaged by fire. Each estimate is normally distributed with a mean 10b and variance b². Calcul...
I found a plan I really like and the site gave me a estimate for how much they think building it in my area will cost.which was 135,205.how much do yo...
Estimates say that somewhere between 2 and 3 million people died during the building of this?
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...
I've got a building estimate from 1995 which says a building, which was designed back then, would cost approx. £135k. What I'm trying to do is gue...
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...
Alright well this isn't for an assignment for school or anything I just like meaningful quotes and I am too lazy to look for some. I would like quotes...
Hey, rish here again. I was just wondering if you guys new any funny quotes or any quote. Like ones people have never heard of. Im focusing on funny q...
hey guys. thanksss i am looking for some cute quotes dealing with summer and life. but no emo/sad quotes just some cute ones. THANX <334 ...ple...
what are some good insperational quotes or song lyrics?? tHanKs (:
What r ur peoples favorite quotes bout friends, losing someone, love, life, etc...
I have a portfolio with some stocks, 2 short put options (cash secured) and 1 short covered call. I would like to estimate beta for the portfolio. ...
For a 100,000 dollar portfolio, what should one be expecting to see day to day? I know this is somewhat of a dumb question since day to day anything c...
A financial analyst is concerned with the risk associated with a portfolio of stocks. She draws a random sample of nine monthly returns (expressed as ...
If I'm interested in talking to 3 schools with about 15 pieces or less of artwork, how long, estimated, would it take me at one of these portfolio day...
It starts out with a $1500 investment into just one stock, and then the porfolio expands to 10-15 stocks using funds from the $336/month and it will g...
we often reduce risk by creating a portfolio which includes a mix of investments with high, medium, and low risk. what return will we expect and how s...
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!
im mean that will chack out my car to see what the problem is for free, then i pay to get the work done?
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...