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Mathematical Constants

Intriguing, ubiquitous, and at times mysterious, numerical constants set the allowable limits for all universal phenomena. Whether your questions involves π, Avogadro's number, Planck's constant, the atomic mass unit, or any of the other multitudes of immutable numbers used in science, this is the category where they should be asked.

2,332 Questions

How do you know how to answer a question of female partner about herself truthfully without causing any annoyance at all?

A truthful answer will many times hurt the receiver's feelings. If the truth you need to convey is negative, be as honest and as gentle as possible AND offer a solutuion if you can.

How would you solve an imaginary number with -31 as its exponent?

The following discussion is for complex numbers; this includes (pure) imaginary numbers as a special case. This type of powers (a complex number to the power of a real number) are very simple if you write the complex number in polar coordinates, specifying an absolute value and an angle. Raise the absolute value to the specified power, and multiply the angle by the power.

Example (writing on a piece of paper is clearer; it is difficult to represent some of the symbols here):

(1 + i)6 = [(square root of 2) angle (45 degrees)]

Square root of 2 to the power 6 is 8.

45 degrees x 6 = 270 degrees, which is the same as minus 90 degrees.

The result is, then, 8 at an angle of -90 degrees. Converting this back to rectangular coordinates, this is equal to -8i.

What are the importance of number pi?

Your pie wouldn't be a circle, it'd be some random shape. god bless the greeks.

What is a googol and how many zeros are in it?

A googol is 10100 , that is 10*10*10*...*10 (one hundred lots of ten). It has 100 0s.

After which decimal in the number pi is there no repetition?

Although it hasn't been found statically speaking if you keep doing something forever the most unlikely out comes will occur so if pi goes on forever the out come of repeating becomes more and more unlikely but will eventually be forced to occur.

How do I do this problem 9--2x-5?

if u said 9=2x-5 then add 5 to both sides so u get: 14=2x. then divide both sides by 2 so u get: x=7

What is pi in an explanatory form not the number form?

pi is the ratio between the circumference of a circle and it's diameter.

If you take the circumference of any circle, and divide it by that same circle's diameter, the resulting number will be pi.

Are all imaginary numbers are real numbers?

No. None are because the opposite of a real number is an imaginary number. In real numbers there are rational, irrational, counting, whole numbers, and integers.

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.

How many 'f's are there in pi?

In base 10, there are none. In base 16 or higher, there are infinitely many.

How do you create an illustration of golden ratio?

If you are using a program, i would recommend looking at
http://www.mathworks.com/moler/chapters.html
in the intro to matlab section they have a code to illustrate the golden ratio

if by hand, draw a rectangle with sides 1 and (1+sqrt(5))/2 and draw an extra line at the 1 mark on the longer side.

Is universal gravitation is constant on moon as on earth?

Yes, the universal gravitational constant is believed to be the same across the whole of the universe.

What do you use a googol for?

it's a number it looks like this: 10^10^100 and googolplex is a number it is higher than the number of hydrogen atoms in the observable universe! scientist use googol for rocket science!

EDIT:

10^10^100 is a googolplex, not a googol.

A googol is 10^100 whereas a googolplex is 10^googol

Its use, however, has no mathematical significance. A googol was pretty much invented for fun by a mere 9-year old.

How fast is time?

It's a hard question. Time is as fast as you want it to be.

I would say that this is about the same as asking "How long is distance?" The question just doesn't make sense.

Does Corde have any page on anything?

YES A MYSPACE HERE IS HOW YOU FIND HIM=1. GO TO HIS FRIENDS MYSPACE AT WWW.MYSPACE.COM/CHANA_BABII THEN AND HIM=