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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 find out what the fraction of 31.456?

31.456 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its equivalent, in rational form, is 31456/1000. You can simplify this rational fraction if required.

Why you use fast fourier transform?

The fast fourier transform, which was invented by Tukey, significantly improves the speed of computation of discrete fourier transform.

How do you change a three fourhts to a percent?

Three fourths is 3/4. That is the same as 75/100 which is 75%. You can see that 3/4=75/100 by multiplying the top and bottom both by 25.

What is an LCM related to?

LCM means the lowest common multiple of two or more numbers

What are some examples of false proofs other than 1 equals 2 and all triangles are isosceles?

The statements that you offer as examples of false proofs are actually not false proofs, they are merely false assertions. You have not offered any line of reasoning. You would have to explain why 1 equals two, or all triangles are isosceles, in order to have a false proof. Here is a recent example of a false proof. Last month, in April 2013, the continent of North America experienced colder weather than the average for April. As a result, some people have concluded that global warming is not happening. The belief is that if there is some part of the world that was not warmer than average last month, then the world must not be on a long-term warming trend. This is, of course, not true. The long-term climate trends show global warming, but there are occasional fluctuations.

How do you express a whole number as a product of its primes?

This is called a prime factorization.

1. Start with the smallest prime that evenly divides into the number and divide.

2. Take the answer and divide by the smallest prime that evenly divides into the number .... repeat, until no longer divisible by any prime but itself.

ex: 12 .....

12 divide by 2 = 6

6 divide by 2 = 3 (3 is a prime)

ans... 2x2x3

How long will it take to go 250 miles at a speed of 85 mph?

distance = speed x time. In this case, just divide the distance by the speed.