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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 is 48 a good sample number when making a prediction from a scatter plot reliable?
There is no specific good number since the reliability of a prediction depends on the spread of the scatter plot. If the plot is tightly packed along some line (straight or curved) then a small number of observations will suffice. If, on the other hand, the plot consists of points all over the place then even 100 points is not sufficient for making reliable predictions.
How many inches are in 200 miles?
12 inches = 1 foot
5280 feet = 1 mile
1. Convert miles to feet by multiplying by 5,280.
200 x 5,280 = 1,056,000 ft
2. Convert feet to inches by x by 12
1,056,000 x 12 = 12,672,000 inches in 200 miles!
Assuming P(B) = 1/2 and P(G) = 1/2, the expected ratio of boys to girls would be:
B/G = 1.
Explanation:
Suppose 16 families. On their first child there would be 8 boys and 8 girls. From the
8 families that would try again their would be 4 girls and 4 boys. From the 4 families that would try again there would be 2 girls and 2 boys and from the 2 families that
would try again there would be 1 girl and one boy. Form the last family to try again
the chances of getting a boy or a girl is 1/2. So in a larger population than 16 families
half the time they would get a boy and half the time a girl. The relation of boys to
girls end up to be 1 to 1.
well use your right or left alot and you decide to use the other and your not use to it.
If there was only 15 words to describe grams number how would you describe it?
Assuming you mean "Graham's number", you can't really describe it in 15 words; except something like "finite, but beyond anything we can comprehend".
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.
What is the prime factor of a larger digits?
This question doesn't make sense. Please choose your words wisely.
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.
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.
LCM means the lowest common multiple of two or more numbers
When you have 100 items what base do you need to make a square based or rectangular based pyramid?
A 5*8 base.
Why mathematical applications are not taught to the students?
They are taught. Perhaps you cut classes when they were.
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
What do these numbers have in common 28 121 125 826 14929 56520 97526?
They all have a 2 as one of their digits.
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.
