Numerical Analysis and Simulation

Topology is the study of objects (often surfaces in 3D) where details like position, shape and curvature are unimportant. Two topological objects are considered equivalent if they can be stretched to look like one another. An example of two different topological objects are a sphere and a doughnut shape (torus); the sphere cannot be stretched to look like the torus because it doesn't have a hole and the torus does.

money is decimals, 5 items cost 2.40. what is the cost of one item?

0: 99,959

1: 99,757

2: 100,026

3: 100,230

4: 100,230

5: 100,359

6: 99,548

7: 99,800

8: 99,985

9: 100,106

Use a caliper that's made for inside measurement.

You change a number in any base to any other base by iteratively dividing by the second base, using the rules of arithmetic for the first base, recording the remainders in reverse order, until the quotient is zero. For instance, to change 2510 to 110012, follow the steps...

25 / 2 = 12 remainder 1

12 / 2 = 6 remainder 0

6 / 2 = 3 remainder 0

3 / 2 = 1 remainder 1

1 / 2 = 0 remainder 1

Read the remainders from bottom to top to get the result 110012.

Tokenizing is the process of taking big pieces of source data, breaking them into little pieces, and storing the little pieces in variables. Probably the most common tokenizing situation is reading a delimited file in order to get the contents of the file moved into useful places like objects, arrays or collections. We'll look at two classes in the API that provide tokenizing capabilities: String (using the split() method) and Scanner, which has many methods that are useful for tokenizing.

I will assume that the question is to find the maximum number of balls that could be packed into the space and that each ball must be kept intact.

1 inch = 25.4 mm (exactly)

1 mm = 1/25.4 inches = 0.03937007874015748031496062992126

The standard ping pong ball is 40mm in diameter according to the link

40 mm * 0.03937007874015748031496062992126 =

1.5748031496062992125984251968504 inches in diameter

12 feet = 12 feet*12 inches per foot = 144 inches (in reference to the room's dimensions)

We lay the balls end to end along one wall to see how many fit.

144/1.5748031496062992125984251968504 inches = 91.44

At most, 91 whole balls will fit in this space.

We now come to the complication that has to do with how the balls might be packed together efficiently (known as the sphere packing problem). For this solution, I will assume that the balls are not packed in an offset manner (the centers of which would form hexagons), but rather are in a configuration where the centers of the balls form a lattice like structure similar to the integer locations on the usual Cartesian Coordinate system. (One difficulty proving the packed solution is that to be clear, one probably needs the ability to enter images into the answer, something that currently is not allowed.) Therefore, I will simply proceed with the assumption that no offsetting of the balls takes place.

91 balls in each of the 3 directions of the cube gives 91*91*91=753,571 total balls.

Notice that one cannot simply calculate the number of balls in a cubic foot and then multiply by the number of cubic feet in the room. That is because the balls don't fit exactly into the cubic foot and the extra space accumulates as more cubic feet are utilized.

Square centimeter, a unit of area: the area equivalent to a square that has a side length of 1 cm.

Because it is in same units as the original data. For example, if you have a sample of lengths, all in centimetres, the sample variance will be in units of centrimetres2 which might be more difficult to interpret but the sample standard deviation with be in units of centimetres, which would be relatively easy to intepret with reference to the data.

The generic answer is represented by the equation (4 * N) + 50 where N is the number. Some specific answers include:

50 is 50 less than 4 * 0 (N=0)

54 is 50 less than 4 * 1 (N=1)

58 is 50 less than 4 * 2 (N=2)

62 is 50 less than 4 * 3 (N=3)

Finding out what is 50 less than the product of 4 and a number suggests an equation with two variables as follows:

A - 50 = 4 * B

Accordingly, there are an infinite number of solutions to this equation. Solving for A as follows:

A = (4 * B) + 50

Now we can solve for A when selecting any B.

If you mean a spiral then in polar coordinates the function r(theta)=k theta (where k is some constant) will work. If you want a vector field then something like F(x,y)=(-y,x) will work.

If the book is currently available as an online ebook in regards to a class, then one should be capable of downloading it from the virtual library in regards to the school requiring it. Otherwise, a teacher may hand it out on a flash drive at the beginning of class rather than as a download for students in order to keep the files from corrupting or other incidents.

The probability that 12 randomly selected people from a group of 12 men and 18 women will all be women is (18 in 30) times (17 in 29) times (16 in 28) times (15 in 27) times (14 in 26) times (13 in 25) times (12 in 24) times (11 in 23) times (10 in 22) times (9 in 21) times (8 in 20) times (7 in 19), which is equal to 8,892,185,702,400 in 2,180,547,008,640,000, which is equal to 68 in 16,675,which is equal to 0.00407796.

$139.95

graphical representations

This may be a coincidence that this number keeps popping up. It maybe that the acid you are using has an atomic mass weight of 75. And if you are always using this acid then 75 will always pop up.

See related link for a little more info

The coefficients and constant in one of the equations are a multiple of the corresponding coefficients and constant in the other equation.

It is your estimate minus the true value divided by the true value and multiplied by 100.

So, % error = (estimate - actual) / actual * 100, in absolute value.

For example, if you estimate that there are 90 jelly beans in a jar when there are actually 130 your percentage error is:

(90-130)/130 * 100 = -40/130 * 100 = -0.308*100 = -30.8%

After absolute value, the answer is simply 30.769, or 30.8%.

Only because you are superstitious enough to believe that there is anything like a lucky number.

| 2x + 3 | = 11

make 2 cases case 1) 2x + 3 = 11; solve x = 4

case 2) 2x + 3 = -11; solve x = -7

always 2 cases one = positive and one = negative

math 7

9.3 in scientific notation is 9.3 x 100.

it means "C" which is average