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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
Who is responsible for finding out that the numbers in Pi were trascedental?
Ferdinand von Lindemann proved, in 1882, that pi was transcendental.
Why you call zero by the name zero?
The derivation is from the early 17th cent.: from French zéro or Italian zero, via Old Spanish from Arabic ṣifr 'cipher.'
What is the solution to 30X to 29Y?
"30X to 29Y" is not an equation nor an inequality. There is, therefore, not a mathematical solution to the question.
Do ANY number series in pi repeat themselves?
There are short strings of digits which will repeat, but there is no sequence which will repeat forever.
The Boltzman's constant is the physical constant relating to temperature to energy.
How many decillions are in 1 googol?
In researching the answer, we found the following definitions on the www :
1 decillion = 1033
1 googol = 10100
So the number of decillion in 1 googol is
10100 / 1033 = 10(100-33) = 1067
We couldn't find a name for 1067. Apparently it doesn't come up very often.
They may be. But as far as pi has been carried out until now ... 2.5 trillion decimal places
claimed in 2009 by a team in Japan ... no repeating digits have been found yet.
What is the use of finding number of tiles in daily life?
Well just say your wife/husband wants you to tile the bathroom. Instead of buying a random amount of tiles you can simply measure the area you want tiled to figure out the exact number of tiles needed. This is a pretty literal real life application though. Basically the tiles per certain area exercise also has the effect of teaching one how to deduce how many units [the tiles] will fit into a certain space [the area] this has all sorts of real world applications to do with problem solving if you really think about it and even though when I was in school I found these kinds of exercises pointless I often use the things I learnt in real life now :D
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.
