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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

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.

See related links for more information.

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.

Who pioneered calculus?

Calculus was pioneered by Sir Issac Newton, followed by Gottfried Leibniz.

What is integration in mathematics?

Opposite of differentiation. Given the rate of change of something (for example, speed [which is rate of change of position] ) which might vary according to some formula, then integration is a way of calculating the total distance after a specified interval.

Is the number 0 a complex or real number?

It is a real number because for example water freezes at 0 degrees Centigrade

What is thirtyseven divided by zero equal?

In mathematics, in almost all instances, you are not allowed to divide by zero, so the answer would be 'disallowed' or something similar.

When you think about division in the most basic sense, it is the act of separating a quantity into a number of groups. So when you try to imagine separating 37 of something into zero groups, the equation does not make sense.