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Numerical Analysis and Simulation
The study of algorithms for problems related to continuous mathematics
818 Questions
What is the use of gaussian elimination in education world situations?
Gaussian elimination is used to solve systems of linear equations.
If the true value is 21.751 grams what is the absolute error and the percent error?
In order to determine the absolute error of this 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 two.
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
To determine the Percent value, applying the skills learned above, it is represented by the following equation
(Recorded value - True value) / True value*100%
(20.000 - 21.571) / 21.751*100% = -7.28%
It is possible to have multiple points of absolute error for instance. If you have 3 measurements one above the true value, the true value, and one below the true value. (e.g 20, 21.571, 22.571) can be represented as +/- 1.571g
Yes, a set can be infinitely large. For instance, the set of all odd integers is infinitely large.
What is 123.7 x 123.7 x 138.4 calculated as feet and inches?
There is insufficient information in the question to properly answer it. You did not specify the units of the three constants 123.7, 123.7, and 138.4. Please restate the question.
How many cars long is 882ft and 9inches?
The answer depends on the lengths of individual cars which varies from model to model.
4 and 9
The number system decimal evolved because?
Perhaps the ancient men counted on fingers. If we got 6 fingers per hand, many things would be easier - since we have 12 months in year, 12 hours on clock, 12 semitones in musical scale, division of 12 can be done more ways than ten (we can divide 12 in 2,3,4,6 without rest) etc.
What is the definition of 6 M's of design of experiment?
Manning
Method
Material
Management
Machine
Measurement
sorry but are gone mad
What is the circumference of a rectangle plate whose length is 6meters and width is 2 meters?
Only circles have a circumference but if you mean its perimeter it is 6+6+2+2 = 16 meters
2 9 5 13 10 19 17 best completes sequence?
Any number that you choose can be the next number. It is easy to find a rule based on a polynomial of order 7 such that the first seven numbers are as listed in the question followed by the chosen next number. There are also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one. The simplest polynomial solution based on a polynomial of order 6 isU(n) = (-46*n^6 + 1104*n^5 - 10465*n^4 + 49680*n^3 -122959*n^2 + 148026*n - 64980)/180 for n = 1, 2, 3, ... Accordingly, the next term is -341.
How do you compare one ratio against another ratio?
You divide them. For instance, to compare 1:3 against 3:5, treat them as fractions (1/3 and 3/5) and divide, in this case getting 5/9, which says that 1:3 is slightly more than half of 3:5. Remember that you can divide fractions by inverting one of them and multiplying - 1/3 divided by 3/5 is the same as 1/3 multiplied by 5/3.
How do you interpret cross tabulations?
This is a big topic! May I suggest that you go to the attached link and search for cross tabulation? Having perused some of the results, if you formulate other questions please feel free to submit them.
How do you know what number to use to start estimating with Newton's Method?
I don't think there is a general rule for getting a starting point.
Some random number might help; for instance, you might try with the number zero. If the method doesn't converge, you may need to try a different number.
A general understanding of the function involved may help you choose a good starting point.
Which number is irrational -5.72?
There are no irrational numbers in the value -5.72. All of the components of the value are represented by rational numbers.
An irrational number is any number that cannot be represented by a fraction a/b where a and b are integers.
-5.72 itself is rational as it can be represented by -572 / 100.
The digits of the value are also rational as they can be represented as -5/1, 7/1 and 2/1, respectively.
What is the correct equation 20 8 4 4 equals 18?
The correct equation to solve 20 ÷ 4 x 4 + 8 equals 18 is as follows: First, divide 20 by 4 to get 5. Then, multiply 5 by 4 to get 20. Finally, add 8 to 20 to get the final answer of 28.
