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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 do you figure out equivalent expressions using the same bases?
Logarithmic bases. exponential bases. addition, subtraction, multiplication, or division. more information needed to answer your question.
How many square yards are in a rectangle 12.00 feet wide and 900.00 feet long?
The area would be 10,800 square feet. Divide by 9 will give you 1,200 square yards.
How do you find the Nash equilibrium?
Step by step guide on how to find a Nash Equilibrium or Equilibria
Step 1. Look at the payoff matrix and figure out whose payoff's are whose:
Step 2. Figure out Player A's best response to all of player B's actions
Step 3. Figure out Player B's best response to all of player A's actions
Step 4. A Nash equilibrium exists where Player B's best response is the same as Player
Let P and Q have coordinates (Px, Py) and (Qx, Qy), respectively (here x and y are intended as subscripts)
Note that Py = f(Px) and Qy = f(Qx)
Slope m = (vertical difference) / (horizontal difference)
m = (Qy-Py) / (Qx-Px)
What is the use of a differential?
Differentials can be used to approximate a nonlinear function as a linear function.
They can be used as a "factory" to quickly find partial derivatives.
They can be used to test if a function is smooth.
What is the angle called when light hits a mirror or glass block?
If I remember correctly, the angle that the light makes with the plane of the surface is called the incident angle.
Incident angle.
One ton is 2000 LB. One LB is 16 oz. 2000 x 16 = 32,000 oz per ton.
What are the four basic operation of venn diagram?
The four basic operations for sets A and B, in the universal set U are:
- Union (A or B)
- Intersection (A and B)
- Symmetric Difference (A or B but not both)
- Complement (not A - relative to U).
How do you enter data into TI83 to find explained variation total variation?
Some TI83's can be set up differently, so it is highly recommendable to read the user guide for the TI83 in question. The user would need to go into the VarStat option and enter all the appropriate fields to have the calculator bring in the appropriate variables and totals.
What are the odd integers greater than 40?
Any integer that is divisible by 2 with no remainder is even otherwise it is an odd integer
What is the advantage of using OLS method?
OLS leads to a closed-form solution. The problems in other metrics such as L1 do not. Furthermore, the statistical theory for OLS is much richer than for other metrics in spite of the fact that OLS leads to difficulties in dealing with 'outliers'.
Your engine is not running or your "RPM gauge" is broken.
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.
