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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
Why are the opposite angles in a parellelogram equal?
Because they are angles that are subtended by pairs of sides that are parallel to each other.
There are several ways of proving the angles are equal.
What is differential equation in mathematics?
It is an equation containing differentials or derivatives, there are situations when variables increase or decrease at certain rates. A direct relationshin between the variables can be found if the differential equation can be solved. Solving differential equations involves an integration process:first order dy _____ which introduces one constant arbitrary dx And secnd order which introduces two arbitrary constant arbitraries 2 d y ______ 2 d x dx
What is the use of the Laplace transform in industries?
Further electronic designs will most likely require improved methods of these techniques.
What is a fast Fourier transform?
A fast Fourier transform is an efficient algorithm for working out the discrete Fourier transform - which itself is a Fourier transform on 'discrete' data, such as might be held on a computer. Contrast this to a 'continuous Fourier transform' on, say, a curve. One would need an infinite amount of data points to truly represent a curve, something that cannot be done with a computer.
Check out: The Scientist And Engineer's Guide To Digital Signal Processing. It is a free, downloadable book that deals, inter alia, with Fourier transforms; chapters 8-12are germane to your question. This is a highly practical, roll-yer-sleeves-up book for, as the title says, scientists and engineers, but Smith describes the underlying theory well. The sample code supplied with the book is in BASIC and FORTRAN, of all things; the author does this for didactic purposes to make the examples easy to understand rather than efficient.
Ingredients
- 1 lb Ground beef
- 1 Sm Cabbage
- 1 cn Tomato soup undiluted
- 1 Salt & pepper to taste
Alternately layer ground beef and cabbage in a large dutch oven ending with cabbage. Pour undiluted soup over the top. Add salt and pepper if desired. Cover and bake for 1 hour.
What are counting numbers greater than 10 but less than 20?
The "natural numbers": 11, 12, 13, 14, 15, 16, 17, 18, 19.
What is relation between laplace transform and fourier transform?
The Laplace transform is related to the Fourier transform, but whereas the Fourier transform expresses a function or signal as a series of modes ofvibration (frequencies), the Laplace transform resolves a function into its moments. Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.
What is the difference between fourier series and discrete fourier transform?
Fourier series is the sum of sinusoids representing the given function which has to be analysed whereas discrete fourier transform is a function which we get when summation is done.
What is the most common 4 digit passcode?
Believe it or not loads of people use ones like 1234 or 0000
Which is the largest number to have a name (example - 100 Hundred)?
It is infinity which can't be exactly determined.
Why does sin plus cos equal one?
There is no reason at all. For most angles sin plus cos do not equal one.
How do you define an upper bound of a subset?
Let B, ≤ be a partially ordered set and let C⊂ B with c Є C. Then the element bЄ B is an upper bound for C if c ≤ bfor each c Є C.
See related links for more information.
How do you calculate dollars and cents?
You add it. Or you can use decimals if i have $8.50 and i want to take out $5.00 i would use decimals and same if your adding subtracting etc.
If you don't know how to multiply decimals just ignore them then add them i the end, how you know where it goes? You count how many numbers are behind!
Same for division except you divide.
What example is there for when a power of 2 is equal to a power of 4 and greater than the number W?
4 = 2²
→ 4^x = 2^(2x)
We want 4^x > w
Taking logs gives:
x log 4 > log w
→ x > log w / log 4
This can be solved to find a value of x by using logs to any base (the same base for each log).
Note that as w become less positive the value of x decreases at a much faster rate.
As w tends towards 0+, x will become more and more negative.
If w is negative, log w does not exist and all values of x will solve the problem - this is obvious as 4 (and 2) to all powers are positive which are all greater than a negative number.
If you require an integer solution to the problem, then the set of solutions starts with the first integer that is greater than x and continues with each next integer higher.
Examples:
- w = 40
- w = 64
no
What are the importance of quantitative methods in decision making?
what are the importance of quantitative techniques in managerial dicision making
Is triple dot product defined?
If by "triple dot product" you mean u·v·w, then no, because that would imply the existence of a dot product between a vector and a scalar.
