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Numerical Analysis and Simulation

The study of algorithms for problems related to continuous mathematics

818 Questions

Four fundamental operations on whole number?

Yes, there are.

Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.

Is 100000000000000000000 trillions or billions?

judging by the number of zeros you have written, assuming they are correct, the number seems to be 100 quintillion, or 100 million trillion. Or any other relevant combination. Make it easy on yourself - try writing 1 X 10 to the power of the number of zeros you have.

Where are simulations used?

simulations are used to test the product before putting the product out on the market. Also every company that sells products uses simulations. A simulation is simply a test. Car companys put their cars through many simulation tests to see how it will fair on the road. Beauty product companys simulate their product on people to see how it will look and how it will work. Soap companys simulate their product on people to see how good there product works against their competitors.

What is name for number 1000000000000000000?

The answer is quintillion. Before quintillion in quadrillion then trillion. After quintillion is sextillion then septillion and so on.

Definition of numerical analysis?

Numerical Analysis - an area of mathematics that uses various numerical methods to find numerical approximations to mathematical problems, while also analysing those methods to see if there is any way to reduce the numerical error involved in using them, thus resulting in more reliable numerical methods that give more accurate approximations than previously.

What is the difference of HAVC VRV and VAV?

VRV stands for Variable Refrigerant Volume and refers to an air conditioning system which varies the volume of refrigerant in the coil to meet requirements. VAV stands for Variable Air Volume and refers to an air conditioning system which varies the volume of supply air into the room to meet requirements.

What is the formula for relative error?

The formula for relative error is:

Erel= |x-x*| / |x|, where x is the proper value, and x* an approximate value.

Name 10 alkalis?

Some examples of alkalis include: sodium hydroxide, potassium hydroxide, calcium hydroxide, magnesium hydroxide, ammonia, lithium hydroxide, sodium carbonate, potassium carbonate, sodium bicarbonate, and calcium carbonate.

The numerical value of an expression?

Is the value obtained when all the variables have been given their value and the expression has been calculated according to mathematical rules.

What is absolute error?

Absolute error is the difference between an estimated or measured value and it's actually value.

For Example:

To determine the absolute error you would have to have a measurement or an estimate of whatever this object is. At which point you would take the difference between the estimated value and the actual value.

For example: 21.571 is the True value 20.000 is the Recorded Value.

Thus: (True value) - (Recorded Value) = Absolute error (21.571) - (20.000) = 1.571

What is the difference between numerical analysis and numerical methods?

Short answer; there isn't any.

Long/picky answer; numerical methods tend to look at, surprisingly, numerical methods on solving certain problems such as finding answers to equations (finding fixed points), calculating errors and really just doing calculations using these methods.

Numerical analysis on the other hand, does all of this but also looks deeper into why error occurs from these methods and looks into ways of adjusting these methods or developing better ones that reduce the errors given so as to obtain much more accurate approximations to the solution you are trying to find for a given problem.

How much is hecto?

A hecto is a amount. hecto, if you ar refering to an amount, would be estinated 0.01 (one tenth.)

What digits are considered significant in a measurement?

Non-zero digits are always significant. Thus, 569 has three significant digits, and 69.35 has four significant digits. Zeros are sometimes significant and sometimes aren't: # Zeroes placed before other digits are not significant; 0.0968 has three significant digits. # Zeroes placed between other digits are always significant; 70063 kg has five significant digits. # Zeroes placed after other digits but behind a decimal point are significant; 7.90 has three significant digits. # Zeroes at the end of a number are significant only if they are behind a decimal point as in (c). Otherwise, it is impossible to tell if they are significant. For example, in the number 8200, it is not clear if the zeroes are significant or not. The number of significant digits in 8200 is at least two, but could be three or four. To avoid uncertainty, use scientific notation to place significant zeroes behind a decimal point: 8.200 * 103 has four significant digits

8.20 * 103 has three significant digits 8.2 * 103 has two significant digits

What is the theory based on Budan's theorem for itterative methods in numerical mathematics?

The theorem that the number of roots of annth-degree polynomial lying in an open interval equals the difference in the number of sign changes induced byndifferentiations at the two ends of the interval

What is 30cc?

the same as 30 milliliters.

this is the capacity of an engine

What does the word mean mean in mathmatical terms?

it means the average. add up all of the numbers and divide by the number of numbers you added. for example, 10+ 10+10=30 the mean is 30 divided by 3 = 10 the average! A nasty average?

Definition of evaluation?

the making of a judgment about the amount, number, or value of something; assessment.

What is the square root of 13?

Go 3.25 units of distance in any direction. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line. Turn 90 degrees clockwise and go 3.25 units of distance in a straight line.

You will have travelled along a square route whose total distance is 13 units. Alternatively you could have turned counter clockwise each time.