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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
Is the speed of light slower in air or in a vacuum?
Speed of light is max. in vaccum and slower in air.
In NMR spectroscopy, a Doublet of doublet is a signal that is split into a doublet, and each line of this doublet split again into a doublet. Occurs when coupling constants are unequal.
What is the exact speed of light in a vacuum?
The current internationally accepted number is: 299,792,458 meters per second.
Note. While the number above is correct, it is not 'the current internationally accepted number'. The number is now correct by definition. Physicists world-wide have agreed that c is 299 792 458 m s-1.. Physical constants are usually quoted with 'error bars', which indicate the accuracy of measurement. Here there are no error bars - what you see is what you get, and what physics will get ever after. The second is now defined by an atomic clock, and the meter is defined by reference to c and the second. If there were to be a tiny error that had crept in, the meter is what would change.
Where does the negative sign go in imaginary numbers?
The basic theory of imaginary numbers is that because (-) numbers squared are the same as (+) numbers squared there is not a correct continueos line on a graph.
How do you work out the exact value of Fibonacci's constant?
You cannot.
Fibonacci constant is the sum of the reciprocals of the Fibonacci sequence.
Thus it is 1/1 + 1/1 + 1/2 + 1/3 + 1/5 + 1/8 + ...
It is known that this series converges to an irrational number that is approximately 3.359 885 666 243 177 553 172 011 302 918 927 179 688 905 133 731 968 486 495 553 815 325 130 318 996 683 383 615 416 216 456 790 087 297 04
As of 20 October 2013, no closed formula for the constant was known.
Light speed is constant but why Einstein take square in his equation?
Partly to ensure that the dimensions of the equation balance.
Is there number bigger than googol?
Yes, there are an infinite number of numbers bigger than a googol. A googolplex is one example.
Those speeds are equal, even though the speed of the light
was temporarily less while it was inside the glass.
check your interior or instrument panel lights fuse, they usually are all connected and when the fuse blows they all go.
Where can you use rounding of numbers in daily life?
In calculating sales tax. Sales tax is rarely given as a whole number and is more often several decimal places long (e.g., 8.325%). Since any calculation performed with such a number is likely to have at least as many decimal places, the tax is rounded UP and added to the original total.
When was the number zero first used?
The first traces evidence that has been noted on the zero was found in the 3rd century B.C.E. 5,000 years ago. The first recorded zero is attributed to the Babylonians. They wrote in cuneiform and their zero was represented by a slanted double wedge that was inserted between cuneiform symbols for numbers. Then after a long period where nobody else used zero the Mayans independently invented zero in the 4th century CE. Their zero was represented by a black football shaped figure that looks like it has a white smiley in the center. The final independent discovery of the zero was in India in the middle of the 5thcentury. Their zero was represented by a dot. It later spread to China,Arabia, and Europe in which it became the zero we know now as an open circle.
What is the dimensional formula of gravitational constant?
Well, let's see:
Force of gravity = G M1 M2 / R2
So G = (force) x (distance)2 / (mass)2 = (M L / T2) x (L2) / (M2) = (M L3) / (M2 T2) =
(Length)3 (Mass)-1(Time)-2
What is the mass of a marble with a diameter of 2.5?
The answer depends on:
- the units used for 2.5: millimetres, centimetres, inches, or other; and
- the density of the substance that the marble is made of: glass, stone, other.
And since you have not bothered to share either bit of information, I cannot provide a more useful answer.
What was Ace Bailey's jersey number?
Ace Bailey wore #6 for the Maple Leafs between 1926-1933. His number and the number of Bill Barilko (#6) are the only two the Maple Leafs have retired, other than #99 for Wayne Gretzky which has retired league wide.
What is the meaning of the Roman numeral after the names of popes?
In most cases it serves to indicate the number of popes who have taken that name. Benedict XVI means that there were 15 popes prior to the present one who have taken the name Benedict. Given the long history of the church and the vagaries of human history (to say nothing of the controversial anti-popes) the numbers are not always accurate. If I am not mistaken, the popes named John have not been accurately counted. There may be others. But there is really no significance beyond that; it's just a way to tell them apart.
Which is smaller pico or googol?
Pico is 10-12, googol is much larger than 1, therefore pico would be far smaller.
How many is G2 in Graham's Number?
g1 = 3 ↑↑↑↑ 3
g2 = 3 ↑↑......g1 arrows......↑↑3
g3 = 3 (g2 arrows) 3
etc...
g1 = 3 ↑↑↑↑ 3 = 3 times 3 in 3 ↑↑↑ 3 = > This is 3 ↑↑↑ 3 ↑↑↑ 3 -> this is: 3 ↑↑↑ (3 ↑↑↑ 3)
Now, lets do the ( ) first:
3 ↑↑↑ 3 = 3↑↑3↑↑3 = 3↑↑(3↑↑3)
We have to go back once more:
from that 3↑↑(3↑↑3)
to that: 3↑↑3
3↑↑3 = 3 ↑ (3 ↑ 3) = 3^(3^3) = 3^27 = 7.625.597.484.987
Then the next step:
3↑↑(7.625.597.484.987) = a power tower of 7.625.597.484.987 3s where you have to go from the top to the bottom:
Imagine this Power tower and lets just calculate from the top:
3^3 = 27
3^27 = 7.625.597.484.987
3^7.625.597.484.987 = a big number, (I've calculated it: ~ more than 200 pages A4 with small letters . the number has approx.~ 6.9 x 10^6 digits
My problem is: how would I name such a big number, there is no name for it yet, and it's a big way bigger than 10^600 which is called centillion I think, I haven't found a way tpo name that number. Should I simply call it A number for a step for Grahams numbers? How do I get a real name for this number?
Why exactly do you use a time constant?
Time constants are used in order to define time.
Without any use of any time constants, we would not have any way of telling the time. We would not be able to have a calendar. The world would grow towards chaos. At least the world as we know it.
Time constants today define gamma radiation, x-rays, color of light, radio waves, computer speed, sound waves, seconds, minutes, hours, days, weeks, months, years, decades, centuries, millennium and much more that I can't think of at the moment.
Time constants today define our way of living.
We relate many things to time. Some of these are energy, speed and distance.
Time constants define degradation of various materials.
On a large scale, they define the universe itself.
