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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
Why is the golden ratio important?
It's important because it is found (or appears to be) in so many areas of life, most notably in nature, and most importantly in mathematics. The Fibonacci sequence and the concept of fractals (like the infinitely divisible golden rectangle) are great examples of this. Ancient Egyptian and Greek architects built many of their structures with this ratio in mind. Philosophers see this ratio as having an important significance, since it occurs in nature so often.
A lot of people believe that this formula, known as the golden ratio or phi (φ) pops up in everyday life. The truth is that it does not actually appear in the places it is said to. Many claims of its occurrence are false.
Is googol and googolplex the same thing?
No. A Googol is 1.0 × 10100 = 1 followed by 100 zeroes A Googolplex is 1.0 × 10Googol = 1 followed by Googol zeroes
Pi equals= 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510.
This is to 50 decimal places.
You can just write it as 3.142. Even at A level maths, you don't have to write out the whole thing.
1 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000
How many hundreds in a googol?
There are 1000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000 hundreds in a googol.
If zero divided by zero is undefined then how is zero divided by a whole number is zero?
if there is 0 in the numerator it is zero regardless. But if it's zero in the denominator and zero in the numerator then it is undefined in all such cases where the denominator equals zero.
What is a multiplicative inverse of an imaginary number?
The same as for a real number: 1 divided by the number.For example, the multiplicative inverse (or reciprocal) of 2i is 1 / 2i = -(1/2)i.
There are several useful representations of the constant e.
1. e = the unique number a such that if f(x) = a^x, then f'(x) = a^x.
2. e = lim(x->infinity)(1 + 1/x)^x
3. e = the infinite sum 1/0! + 1/1! + 1/2! + 1/3! + ...
All three of these representations can be shown to be equal.
In base 10, e is approximately 2.718281828.
Is the sum of two pure imaginary numbers always a pure imaginary number?
Yes, the only argument would be the example, i + (-i) = 0. However, many people don't realize that 0 is both a purely real and pure imaginary number since it lies on both axes of the complex plane.
* changeless: unvarying in nature; "maintained a constant temperature"; "principles of unvarying validity" * steadfast in purpose or devotion or affection; "a man constant in adherence to his ideals"; "a constant lover"; "constant as the northern star" * a quantity that does not vary * a number representing a quantity assumed to have a fixed value in a specified mathematical context; "the velocity of light is a constant" * ceaseless: uninterrupted in time and indefinitely long continuing; "the ceaseless thunder of surf"; "in constant pain"; "night and day we live with the incessant noise of the city"; "the never-ending search for happiness"; "the perpetual struggle to maintain standards in a democracy"
What is Pi 3.14159 extended to 13 numbers?
3.141592653589793238462
64338327950288419716939
93751058209749445923078
16406286208998628034825
34211706798214808651328
238446095505
What is a number that is bigger than a googelplex?
googelplex+1
It is that simple.
Any real number has an infinite number of numbers larger than it.
there is not a greater number than googelplex because googelplex is the limit of numbers and you cannot go beyond that limit.
An irrational number. Nothing may be rationally divided by zero.
graham'number is explain by scienstist graham.it is very larg number which is explain for ramsey theory.
List all the imperial and metric units?
Scroll down to related links and look at "Conversion of units - Wikipedia".
What are the first 100 numbers of pi?
3. 14159265358979323846264338327950288419716939937510 58209749445923078164062862089986280348253421170679
What are the first 100 numbers of pi 3.14..?
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
How many zeros are in a googol plex?
A googol has 100 zeros. A googolplex has a googol of zeros.
1 googol is 10100. A googolplex is 10googol .
What is the difference between a constant and a coefficient?
In a linear equation given as y = mx + c, the c represents a constant. This is because the x- and y- variables don't directly influence it, and it remains exactly what it is - constant - no matter what.The m is the coefficient - the value which provides scale. It also remains constant, but it is coupled to the variable of this equation, x.
In the quadratic equation y = ax2+ bx + c, the 'c' here is a constant, and both 'a' and 'b' are coefficients.Both 'a' and 'b' are attached to the variable x, so both are considered coefficients. This rule holds true for all orders of polynomials.
(Important note: The letter 'c' is not always used to represent the constant value in an equation, so watch out - so long as it isn't influenced by the variable of the equation, it's the constant.)
