Mathematical Constants

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

anything divided by zero is infinity.

The golden ratio is irrational, so the umber iself cannot be written out completely. It is approximately equal to 1.618033989:1. It can be represented algebraicly through the equation (1+SQRT(5))/2 or trigonometrically by the equation 1/(2cos(72)) in degrees.

#!/bin/sh

echo "6.0221415 * 10²³"

#!/bin/sh

echo "6.0221415 * 10 ^ 23"

There are One Hundred Zeroes in a Googol.

1 googol = 1 × 10100

A One followed by 100 zeroes.

A googol is 1 X 10100, so it has 100 zeroes.

mathematician Euclid

102-because a googol has 100 zeroes

No, it is an irrational number.

3.141

Pi has been calculated to over 1 trillion places, but it has an infinite number of places since it's sequence never repeats.

10^100 = The number 1 followed by 100 Zeros

11 11

Although most of us do not use imaginary numbers in our daily life, in engineering and physics they are in fact used to represent physical quantities, just as we would use a real number to represent something physical like the length of a stick or the distance from your house to your school.

In general, an imaginary number is used in combination with a real number to form something called a complex number, a+bi where a is the real part (real number), and bi is the imaginary part (real number times the imaginary unit i). This number is useful for representing two dimensional variables where both dimensions are physically significant. Think of it as the difference between a variable for the length of a stick (one dimension only), and a variable for the size of a photograph (2 dimensions, one for length, one for width). For the photograph, we could use a complex number to describe it where the real part would quantify one dimension, and the imaginary part would quantify the other.

In electrical engineering, for example, alternating current is often represented by a complex number. This current requires two dimensions to represent it because both the intensity and the timing of the current is important. If instead it were a DC current, where the current was totally constant with no timing component, only one dimension is required and we don't need a complex number so a real number is sufficient. The two key points to remember are that the imaginary part of the complex number represents something physical, unlike it's name implies, and that the imaginary number is used in complex numbers to represent a second dimension.

Remember, a purely imaginary voltage in an AC circuit will shock you as badly as a real voltage - that's proof enough of it's physical existence. I'll put a link in the link area to a great interactive site (it's actually my site but for it's educational purposes only) that explains the imaginary number utility more visually with animations.

Pi is a transcendental number that relates the diameter of a circle to its circumference

(C = pi * d).

There are an infinite number of digits. The first 100 decimal places are:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470...

Pi has an infinite number of digits and no endpoint. There are no repeated

sequences as with fractions because pi is an irrational number, the relationship

between a circle's diameter and its circumference.

Pi has been calculated to more than 10 trillion digits. Using 3.1416 will result in

only a 0.002 % difference from the longer forms. Depending on the degree of

accuracy sought, pi can be approximated as:

3.14

3.1416

3.1415926535

The fraction 22/7 is often used for pi. Obviously, it's not the 'correct' value. But

it's easy to use, and it turns out to give results that are only about 0.04% wrong

compared to using the 'true' value for pi.

Pi does not have "numbers"; it is a single number. The individual symbols (in the

decimal representation) are called "digits", not "numbers".

It is believed (though not yet proved) that every integer is in the decimal

expansion of pi an infinite number of times. E.g. 5358979 is found near the

beginning and 79 occurs three times just in the first 100 digits.

i dont know but when you find out tell me

See the link below

There is no 'last' integer, the expression 'infinity' is sometimes used to describe a quantity, but, it's not a last number.

Pi is an irrational number.
Pi (π) is a irrational and infinite number whose value is the ratio of any circle's circumference to its diameter. These are the first few decimals to the never ending sequence of numbers... 3.1415926535897932384626433832795 It is more commonly expressed as 3.14 or 3.14159.

There is no one person who invented it there are several people who had contributed.

There is virtually no use of grahams number.

A square pyramid (the most common) has a square base with 4 isosceles triangles on each side that come to one point called a vertex.

art, architecture, and music

Approximately 1.618033988749894848204586834365638117720...