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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 a simple interest in math?
Simple interest is interest that is calculated only on the amount of unpaid principal on a loan. Such interest is not added to the value of the loan but is tracked separately.
Compound interest is interest that is calculated on the total of unpaid principal and accumulated interest on a loan.
The difference is in simple interest there is no interest charged on accumulated interest while in compound interest there is interest charged on accumulated interest.
How can you count the maximum number of license plates a state can issue?
First you need to know the rules like:
- There are never the letter O as All Os are Zeros
- Do all the first digits need to be Letters
- How many digits must there be, Where I live currently 7 letters or numbers
- Can there be vanity plate of all letters and do they need to conform to the other rules?
When you know all the rules:
- How many letters, and how many places can they be used
- How many numbers can be used and where in the sequence
- Where are the gaps or dashes and how must they be used.
This example is not correct, you need to figure yours out for yourself based on your homes rules: Formula is ( Letters X allowed positions ) X ( Number of numbers X allowed positions.) and that could be X number of position that could be either numbers or letters.
Is it possible for a finite set to have the same cardinality as its power set?
No.
If the cardinality of a finite set is N, then that of its power set is 2N. These cannot be equal for any non-negative integer N.
What is meant by bimodal distribution?
You are likely familiar with the probability density function of the normal distribution--that is, the bell-shaped curve.
A bimodal distribution is one whose probability density function has two 'humps' or maxima. In other words, values of the random variable are more likely to occur around where those two maxima occur than elsewhere, in the same way that values of a normally distributed random variable are more likely to occur around its maximum.
half of 627 is 313 1/2. Three hundred and thirteen and a half.
What is the range of the function 1 2 2 4 3 6 4 8?
The smallest number is 1 and the largest number is 8. The range is the largest minus the smallest, so it is 8-1=7.
Why do men find it so hard to apologize?
It's just not men that have this problem, but I've had many female friends that don't apologize, but try harder in our relationship. Sometimes we just have to accept that. As long as the person tries to change (without apology) and things are running more smoothly that's all that matters. Some men detest confrontations and it shows up in the business world and many other aspects of life. (eg: two female employees in a snit and the male boss or supervisor hits the floor!) Men have had it driven into their heads from the beginning of time that they should be wise, strong, protect those around them they love and that's one tall order. To apologize is an admission they didn't do a very good job. They want to seem tough.
Zero
any number instead of 4 like 1234567890 and it will still be ZERO!!!!!!!!!!!!
How do you write in words of 637 657 square kilometers?
Six hundred and thirty-three thousand, six hundred and fifty-seven square kilometers.
How will you factor quadratic trynomial?
If the leading coefficient is 1 (or you don't see any number in front of x^2) then find 2 factors f1,f2 which multiply to get the constant term, c, and add to get the coefficient of x, or b,. Then the factors would be (x+f1)(x+f2). Always watch for negatives. Example: x^2 + 2x - 8 B= 2 C= -8 We want 2 numbers that multiply to -8 and add to 2. Since they multiply to a negative number, one must be positive and one must be negative. Since the sum is positive, the larger must also be positive. Analyzing signs can help with determining the factors. With our example, the factors would be 4, -2 so the factor of x^2 + 2x - 8 is (x + 4)(x - 2) To factor quadratic trinomials with a coefficient of the quadratic term , other than 1, I would try the AC method. Here is an example Factor 2x^2 - 3x - 2 With the AC method, find the product of the a, the coefficient of the quadratic term, and c, the constant Here AC = 2*-2 = -4 Then find your b, or coefficient of x B = -3 AC = -4 B = -3 To factor, you need to find a pair of factors that multiply to get AC but adds up to B Our factors would be -4 and 1 since -4*1 = -4 and -4 + 1 = -3 Then rewrite your factors (Ax + f1)(Ax + f2) where f1, f2 are the factors you just found. For our example, (2x - 4)(2x + 1). Finally, factor out any common factor from each binomial (here we can factor 2 out of 2x-4 to get (x - 2)(2x +1)) If this doesn't work, resort to the Quadratic Formula. The factors are then (x - (-b + sqrt(b^2-4ac))/2a)(x - (-b - sqrt(b^2 - 4ac))/2a)
What are all the common factors of 24and 36?
The prime factors of 24 are 2,2,2 and 3
The prime factors of 36 are 2,2,3 and 3
Thus the common factors are 1,2,3,4,6 and 12.
An empty set is this { }
It's just a set with nothing in it.
What is a function of fourier analysis?
It is to convert a function into a sum of sine (or cosine) functions so as to simplify its analysis.
How fast would a person be going if they traveled 625 miles in 48 hours?
speed 13 miles, 36 yards and 2 feet per hour
What digit did Arab mathematician alkhwarizmi give to the west around 800 BB?
All the digits!
Muhammad ibn Musa al-Khwarizmi gave the West all of the Hindu digits and much more besides. Please see the link.
What fraction is bigger 2-3 or 5-6?
When expanded, 2/3 becomes 4/6, being one-sixth lower than the other. So, 5/6 is greater.
How many seconds are in 4.05 minutes?
1 minute = 60 seconds
4.05 minutes = 4.05 x 60 seconds = 243 seconds
How to select 1st function in integration by parts?
When you integrate by parts, you generally want to select part of a function that can be differentiated easily (and also, simplifiable), and the rest of it be easily integrable. For example, the integral of x2sin(x) dx is quite simple since we can choose u = x2 --> du = 2xdx, and dv = sin(x)dx, v = -cos(x), and go on from there. However this would require applying parts twice.
