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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 domain of -1 to the x if you restrict the range to the real numbers?

(-1)^-2 = 1

(-1)^-1 = -1

(-1)^0 = 1

(-1)^1 = -1

(-1)^2 = 1

(-1)^3 = -1

For every whole number n (-1)^n equals either positive or negative 1.

How long will it take to go 250 miles at a speed of 85 mph?

distance = speed x time. In this case, just divide the distance by the speed.

How many km is there in the eeffel?

eeffel is equal to 399 meters. Is less than a kilometer.

eeffel is equal to 0.4 km.

What is the actual length of a room when 25 hundredths of an inch equals 2 feet?

It is impossible to answer the question without information on the scaled measurements.

Who are the mathematicians on variation?

Assuming you mean "the calculus of variations," all the big names were involved in its development; Bernoulli, Euler, Lagrange, Legendre, Cauchy, Clebsch, Weierstrass, Hilbert, and Lebesgue to name a few.

Who created polyhedrons?

No one. They are discoverable mathematical concepts.

What is 2.552 as a fraction?

2.552 = 2552/1000 and 319/125 and reduces to: 269/125

How does 1 over 3 to 100th power have a repeating or terminating decimal representation?

It is repeating. Any fraction in simplest terms which has ANY prime factor other than 2 or 5 in its denominator will be a repeating fraction.

What is a random sequence limit?

To the best of my knowledge, a random sequence limit imposes restrictions on random number generation. For example, one may want to generate random numbers such that any number does not occur consecutively three times.

Another definition of a random sequence limit is the number that a sequence of random measurements of some property converge to as the number of measurements increase.

What does the energy symbol w mean?

The energy unit is Joule for which the symbol is J. Imperial units for energy do not have the symbol W, either.