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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

What is the sum of nine and 37 hundredths and 2.8?

9 and 37 hundredths = 9.37, and 2.8 = 2.8, obviously. Therefore, our answer is:

9.37+2.8=12.17

What does ECM data link problem mean on your 1992 Oldsmobile 88?

It means it's time to get a used instrument cluster (digital speedometer). The only way I could troubleshoot the problem was to buy the service manual on ebay--$15. I had to go twice until I got a good one, but it was worth the $50.

What is the meaning of AxB as applied to set theory?

it denotes the set of ordered pairs with elements of A and b in the format (a,b)

What is a homogeneous region?

the same kind or type of area having a dominant or unifying characteristic

How can you design a multiband filter?

5 methods to design a multiband filter are: Windowing: Apply window to truncated inverse Fourier transform of desired "brick wall" filter Multiband with Transition Bands: Equiripple or least squares approach over sub-bands of the frequency range Constrained Least Squares: Minimize squared integral error over entire frequency range subject to maximum error constraints Arbitrary Response: Arbitrary responses, including nonlinear phase and complex filters Raised Cosine: Lowpass response with smooth, sinusoidal transition

What is 20 percent of 360?

To calculate the answer you can just multiple .20 by 3.60. The answer is .72.

Why limit related with cluster point?

If x is a cluster point for the sequence {x_n}, there is a subsequence of {x_n} whose limit is x. The subsequence can be constructed by choosing a sequence of shrinking neighborhoods V_k about x. Since x is a cluster point, each such neighborhood contains infinitely many elements of {x_n}. By choosing a new point x_k from each neighborhood V_k, we get a subsequence {x_k} of {x_n} with lim x_k = x.

What is the fourier transform of the Laplace operator of a function?

Let F(f) be the fourier transform of f and L the laplacian in IR3, then

F(Lf(x))(xi) = -|xi|2F(f)(xi)

What is six and one half divided by five?

6 1/2 divided by 5 = 13/2 (1/5) = 13/10 or 1 3/10

What is smaller -5 or -8?

-8 ofcoarse cause it is the farthest away from 0

Is one hundred two the same as 1.2?

Not at all. One hundred two would be written 102. It is much larger than 1.2 which is one and a fifth.