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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
For complex events, it is possible to calculate the probability of events, but often extremely difficult. In the given example, for an "average" person (that would need some definition to start with) you would need to know the probability of them scoring a basket without the blindfold - this can be found by observing a number of "average" people attempting a number of baskets and seeing how many are successful (the greater the number of observations, the better the accuracy of the [estimation of the] probability. Also, the effect of blindfolding them needs to be found - this is not so easy, but some measure could possibly be made - and then combining this effect and the probability found some estimation of the probability of the required event can be calculated.
Someone has analysed tennis scoring and given the probability of one of the players winning a point (which can be estimated fairly accurately through past observation) has calculated the probability of them winning the match; however, each match (and even a game within a match) can be affected by further factors (eg one player suffering a small injury) which modify the probability of winning a point, but a calculated probability can still be made.
Why has gold jewelry servived from thousands of years ago?
because its really low in the rective series and is hard to tarnish.
If Chuck Norris divided by zero would he implode?
the universe would implode all that would be left would be chuck Norris
How do you get the answer 1 by using all the digits 1 2 3 4 5 6 7 8 and 9?
(1+2) + 9 + (5+6) - (7+8) + (3+4); (3 + 9 + 11) - (15 + 7); (12 - 11) - 22; 23 - 22 = 1
How do you show an illustration of the number 6?
Use the character before the question mark in your question.
What is the difference between wavelet transform and wavelet packet transform?
in wavelet transform only approximate coeffitients are further decoposed into uniform frequency subbands while in that of wavelet packet transform both approximate and detailed coeffitients are deomposed further into sub bands.
It might not seem like math is useful at all, but it really is! For example, one major application of geometry would be working with areas and volumes. We encounter volumes every day; recipes, food labels, etc. Additionally, areas are quite useful; flooring is sold by the square foot, for example.
A good source of "real world" applications of mathematics can be found in word problems in many textbooks.
How can you get into calculus?
Typically, the pre-requisite for calculus is algebra and trigonometry. These are usually universally required because you need these skills to actually do the mathematics of the calculus. There are a lot of identities in trigonometry that you will wish you could remember when you are working with calculus of trigonometric functions.
What will be the size of the power set?
The cardinality (size) of the power set of a set with n elements is 2n.
How do you work a long division 5 in to 259?
5 into 25 goes 5 times, 5 into 9 goes once with 4 left over, 5 into 40 goes 8 times.
5 into 259 goes 51.8 times.
