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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
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)
How do you calculate an average if the score is higher than 85 percent?
You add together the values and divide by the number of values.
How can 2 identical squares be cut and to form a bigger squares?
They can't, unless you're cutting them all into different sizes.
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.
What is the equivalent fraction for 2 5?
Multiply both the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer. You will have an equivalent fraction.
Why do you use laplace transform?
The most generalized reason would be:
"To solve initial-valued differential equations of the 2nd (or higher) order." Laplace is a little powerful for 1st order, but it will solve them as well.
There is a limitation here: Laplace will only generate an exact answer if initial conditions are provided. Laplace cannot be used for boundary-valued problems.
In terms of electronics engineering, the Laplace transform is used to get your model into the s-domain, so that s-domain analysis may be performed (finding zeroes and poles of your characteristic equation).
This is particularly useful if one needs to determine the kind of response an RC, RLC, or LC circuit will provide (i.e. underdamped, overdamped, critically damped).
Once in the s-domain, we may begin discussing the components in terms of impedance. Sometimes it is easier to calculate the voltage or current across a capacitor or an inductor in terms of the components' impedances, rather than find it in a t-domain model.
The node-voltage and mesh-current methods used to analyze a circuit in the t-domain work in the s-domain as well.
What is larger than a terabyte?
1024 terabytes equals 1 petabyte, 1024 petabytes equals 1 exabyte, 1024 exabytes equals 1 zetabyte, and 1024 zetabytes equals 1 yottabyte. Stay tuned...
There are infinitely many possible rules. One simple rule, for input n isU(n) = (n^2 + 3n + 2)/2 = (n + 1)*(n + 2)/2
or, equivalently, the sum of all the integers from 1 to n+1.
5 = 1 x (1 + .06/4)4Y
5 = (1.015)4Y
log(5) = 4Y log(1.015)
4Y = log(5)/log(1.015)
Y = 0.25 log(5)/log(1.015) = 0.25 (0.69897) / (0.00646604) = 27.025 years
That means you won't quite be there at the end of the 27th year,
but the interest payment at the end of the first quarter of the 28th
year will put you over the top.
When can you say that it is a prism?
A prism is a polyhedron (a many sided 3D shape) with two identical and parallel faces called the bases. The vertices of the two bases are joined by straight lines forming a number of rectangular faces. For example, a pentagonal prism consists of 2 pentagonal faces and 5 rectangular faces, and has 15 edges and 10 vertices.
How you can use fourier analysis in the communication?
Fourier analysis is used in communication systems to analyze and process signals by decomposing them into their frequency components. This allows for the effective modulation and demodulation of signals, enabling clearer transmission over various media. Additionally, it aids in filtering out noise and optimizing bandwidth usage, improving the quality and efficiency of data transmission in applications such as radio, television, and digital communication.
Why is it important to be able to identify sets and set theory as related to business operations?
Why is it important to be able to identify sets and set theory as related to business operations?
