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Mathematical Analysis
Mathematical analysis is, simply put, the study of limits and how they can be manipulated. Starting with an exhaustive study of sets, mathematical analysis then continues on to the rigorous development of calculus, differential equations, model theory, and topology. Topics including real and complex analysis, differential equations and vector calculus can be discussed in this category.
2,575 Questions
How many hours does 1 ton of pellets last?
The answer will depend on what the pellets are composed of and how they are being "consumed".
Nonisotropic or anisotropic refers to a medium in which some characteristics depends on the direction in which the medium is studied.
A very common anisotropic material is wood. It is much easier to split it along its grain than across the grain.
1/6
Why?
.125 times 2 is 25, 25 times 3 is 75, so 3 X 2 = 6
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Really, to answer the question we must formulate an equation,
what percent of .75 IS .125 can be expressed:
.125 = .75 * P (Where P represents the percent)
So a simple re-arrangement and we get:
P = .125/.75 = .166666666666 or rounded to 16.67%
which is what the question was really asking
Could also have gone 1/8 divided by 3/4 = 1/6 = .1666666666=>
Is the empty set an element of every set?
No. An empty set is a subset of every set but it is not an element of every set.
The collision theory is when atoms, molecules or ions bash together or collide together.
Collision theory states that the rate of a reaction may be increased by : increasing pressure; raising the amount of heat energy; raising the concentration of the reactant and by introducing a catalyst.
Differences between full range Fourier series and a Half range Fourier series?
half range--- 0 to x
full range--- -x to x
That is not even true!
100% of 3000 = 3000
50% of 3000 = 1500
. -------- +
. 4500
So 150% of 3000 is 4500
What are the four parts of induction?
1.Show it works for the loest value (substitute into separate ways of finding value)
2.Assume it works for x=k
3.Prove it works for x=k+1 by rearranging into required form
4.conclude
How many times is it 6.53 in a day?
It is 6:53 two times each day. Once at 6:53 AM, and once at 6:53 PM.
Why do you need to write ordinary numbers into scientific notations?
A quick story: A long time ago, scientists were working on a big project where they had to use huge numbers, in the billions in the trillions and quadrillions. One day, a scientist name Billy Bob had to write the number six-hundred quadrillion 10 times so he could give this number to his friends. His hand grew very tired as he added zero after zero.
Finally, he stood up, and said, "My hand freaking hurts and I'm done writing all these damn zeros!"
So, he invented a system were he wrote down exactly how many zeros to add, or, how many times to the right or the left the decimal place should be moved.
For example, 4.5 x 1030 = 45000000000000000000000000000000. If you had to write that number over and over again, you would feel like crap.
Also, it serves another purpose with multiplying and dividing large numbers.
For example:
(4 x 103) x (5 x 106) First, you would multiply the 4 and the 5 to get 20. Then, add the "baby numbers" together to get 9. That would make it 20 x 109, but then you make it 2.0 instead of 20, so by doing that you would also take one away from the exponent (because you move the decimal point one less place), making the final answer 2 x 108. That's A LOT easier to write and multiply than the real numbers.
So, there. Why waste time writing all those digits?!
