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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 roles of roman numerals?

Roman numerals were fully developed during the Roman Empire, as the Roman Empire had a large amount of territory; numbers was required to measure and control the immense and vast territory. The Romans made use of Roman numerals, which was based primarily 7 letters which composed the Roman numeration, the Romans assigned values to each letter corresponding to each of the following values: I is 1, V is 5, X is 10, L is 50, C is 100, and D is 500and M is 1,000.

Jim has 16 sticks of length 1cm 16 sticks of length 2cm and 15 sticks of length 3cm Can Jim make a rectangle of the sticks if he is required to use all of them?

The total length of Jim's available materials is:

16 x 1 = 16

16 x 2 = 32

15 x 3 = 45

Total . . . 93 cm

Since he's required to use all of them, the perimeter of his rectangle has to be 93 cm.

Perimeter = (2 lengths) + (2 widths) = 93 cm.

Divide each side by 2:

(1 length) + (1 width) = 46.5 cm

Either the length or the width has to be a whole number plus 1/2 .

Jim can do that if he's allowed to break one stick in half, but not if he's not.

When is a metric on a set complete?

A metric on a set is complete if every Cauchy sequence in the corresponding metric space they form converges to a point of the set in question. The metric space itself is called a complete metric space.

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How many 275.104 hz.khz?

There are 0.275104 kilohertz in 275.104 hz.

What fraction is greater than 6 8?

Assuming you mean 6/8: Two ways to get a greater fraction are to make the numerator greater; or to make the denominator smaller.

Which can be solved by n munis 24 eqully 150?

n-24=150

n=150+24

n=174

Hence the required answer is 174

Where would you find an explanation as to why sales sales had increased by 25 percent?

There could be lots of reasons.

The product could have suddenly come [back] into fashion.

The price of a complementary product could have fallen substantially.

The price of a competitive product could have risen sharply.

A competitor has gone out of business.

The comparisons are over dissimilar periods: the sales of ice creams in the Summer should be at least 25% higher than in the Spring.


A more systematic analysis of the sales data is required.