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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 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.

How many kg are in 0.6 g?

1kg = 1000g so

6kg = 6000g so

0.6kg = 600g so

0.06kg = 60g so

0.006kg = 6g so

0.0006kg = 0.6g

0.0006kg

Is geometry useful at all?

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.

Why you use one sided z transform?

to incorporate initial conditions when solving difference equations using the z-transform approach

Penny is going to place 3 pictures on each page in her photo album. If Penny fills 17 pages with pictures will the total number of pictures be a prime or composite number Explain?

Total number of pictures = 3x17 = 51 which is a composite number because 51 is divisible by 1, 3, 17 and 51.

Product of any two counting numbers(except 1) always gives a composite number.

How do you spell 2550610?

It is spelled as two million five hundred and fifty thousands and six hundreds and ten