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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

Why can't zero be divided?

because there is nothing to divide, it is in all absolute zero, a black hole, a compilation of nothing

How do you work out complement fractions?

In order to work out a complement fraction, one would take the initial fractional value and add "x" to it, thus equaling the target value. Then with a simple switch of the two sides of the equations and a balancing order, the x would solve itself.

Why is it that when you subtract four consecutive numbers the answer is always double the highest number but in minus?

Clarify. Subtract four consecutive numbers ... from what?

It appears you mean something like:

22

- 21

- 20

- 19

And the answer is NOT -44.

It is -38 ... negative double of the LOWEST number.

If this is what you mean, then you have discovered another rule of mathematics. It will always work.

1001

- 1000

- 999

- 998

= -1996

Exactly the negative double of 998

What is the answer to 3 yards plus 1 feet?

3 yards plus 1 feet equals '10 feet' because there are 3 feet in 1 yard

Why is an empty set a subset of every set?

Because every member of the empty set is also a member of the other set. "If x is an element of the empty set, then it is also an element of the other set." Because the first part of the "if" is always false, the result is true. If this doesn't seem logical, see the Wikipedia article on "Vacuous truth".

What is a sentence for unit rate?

the unit rate of this problem that we need to find our deals with 1

Is power set of singleton set equal to null set?

No. Let A = {a} (a singleton set)

then

P(A) = {a, 0}

where 0 is the null (empty) set.