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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

Is 1 -2 a function?

1-2 is not a function because there is no defined function, such as f(n)=0n+1-2. Also, it does not contain a variable.

Does mathematical intelligence is related in taking mathematics courses?

No. But taking mathematical courses will give you the tools to work with, it will train your mind to think mathematically and it will give you mathematical questions on which to work.

No. But taking mathematical courses will give you the tools to work with, it will train your mind to think mathematically and it will give you mathematical questions on which to work.

No. But taking mathematical courses will give you the tools to work with, it will train your mind to think mathematically and it will give you mathematical questions on which to work.

No. But taking mathematical courses will give you the tools to work with, it will train your mind to think mathematically and it will give you mathematical questions on which to work.

How many months is 30000 hrs?

Average at 30 days per month.

30,000 hrs (1 day/24 hrs)(1 month/30 days)

= 41.7 months or 41 months and 21 days
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What is empty and universal set?

The empty set is the one that contains nothing at all.

The universal set contains everything.

Those are oversimplified definitions, but provide a good place to start.

When we talk about things in sets, we call the things contained in the sets elements. So we can be more precise and say the empty set is a unique set with no elements.

The universal set contains all elements INCLUDING itself.

How come an empty sets become an empty sets?

An empty set becomes an empty set by virtue of its definition which states that it is a set that contains no elements. In other words, it contains nothing, it is empty!

How do you type in r squared on a computer?

It depends on the capability of your computer.

In this web site, there are the text controls right above where I am typing my answer.

I will type r2, then select the '2' by itself, then click the x2 above the text box. Those two symbols, x2 and x2 are for subscript and superscript.

So, when done, r-squared is correctly displayed like this: r2.

What definition proves that the set of all odd natural numbers is a countable set?

It is NOT a 'countable set'. It is an infinite set. 1, 3, 5, 7, 9, 11, ... you can count to infinity and keep going.

How do you figure out your total amount of money after interest?

It depends on whether it is simple or compound interest. The formula for simple interest is A = P(1+rt), where A = amount of money after t years, P = Principal, or the amount of money you started with, and r = the annual interest rate, expressed as a decimal (i.e. 7% = 0.07).

For compound interest, the formula is A = P(1+r)t.

How many kilograms of wood in a cubic meter contain?

Different types of wood come in different densities; most types of wood have a density slightly less than that of water (which has 1000 kilograms per cubic meter), some (like balsa) have quite a lot less, and there are even types of wood that sink in water.

How do you calculate for the discount?

First place the price of your object on the calculator, such as $17.79.

Next you multiply it by thepercentage of discount, such as $17.79 by 20% of discount, if your calculator has this symbol % click it after you place your percentage of discount. Next you click the minus button -. Finally press the equal sign and that is the of 20% of discount from $17.79.

How much money is sixteen trillion pennies?

16 trillion 1 pence coins makes £160,000,000,000, or one hundred and sixty billion pounds.

What is the measured area of Egypt?

According to Wikipedia, Egypt is 1,010,000 square kilometers (390,000 square miles).

Do you divide or multiply when you subtract fractions?

None. You find the common denominator and subtract.

Ex.

1 3

2 - 4 =

STEP ONE:

Find the least common multiple between the denominators.

2 4 6 8

4 8 12

As you can see, four is the least common multiple.

Now, you multiple the first fraction, 1/2, by two because the denominator in 3/4 is four.

You should have 2/4 instead of 1/2 now.

STEP TWO:

Subtract.

3 2

4 - 4 = (the denominator stays the same, so all you have to figure out is what 3-2 equals and that is 1.)

STEP THREE:

Your answer is 1/4.

I hope that helps. :)

What is 25000 hours in days?

There are 24 hours in a day. Therefore to convert from hours to days you need to divide by 24. In this case, we get:

25,000/24 = 1041.66666rec

Thus, 25,000 hours is equivalent to 1,041 and 2/3 days.

Why do we divide and multiply both the numerator and denominator of a fraction to find an equivalent fraction?

cause both numbers have to be equal with both of the numbers in the first fraction its common sense someone that is dumb wouldnt know that

What is that square root of fraction 20 over 25?

The square root of fraction 20 over 25:

= √20

...√25

= √4(5)

......5

= 2√5

.....5

or 2 square root of 5 over 5

What is the area of 3m 3m 9m?

It is not possible to answer the question.

There are three measures, but they cannot form a 2D shape - a triangle.

If they are the lengths of sides of a solid figure, there is no information as to what shape that figure is - a cuboid or a parallelepiped.