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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
Explain the difference between the constant of a hyperbola and the constant of an ellipse?
In contrast, for an ellipse it is the ''sum'' of these distances that is a constant
Pi can be, and has been, calculated in many different ways.
One of the earliest was to inscribe a shape with many, many sides (upwards of 96) whose diameter is known and whose perimeter can be calculated and dividing the result by the diameter. The more sides you add to the inscribed shape, the closer you get to pi.
Then there were equations formed to find pi. Two such equations are:
pi=4/1-4/3+4/5-4/7+4/9-4/11 and so on
or
pi=(2/1)*(2/3)*(4/3)*(4/5)*(6/5)*(6/7)*(8/7)*(8/9) and so on. The top numbers are just all even numbers twice -> 2, 2, 4, 4, 6, 6, 8, 8... and the bottom numbers are the odd numbers doing the same, but with 1 not being repeated -> 1, 3, 3, 5, 5, 7, 7, 9, 9... Multiply all the fractions by each other and you'll get close and closer to the actual value of pi.
Pi, however, will never be completely known since it never ends and it never repeats. There are now better equations of finding pi but they would require great mathematical knowledge to understand.
How did you get the value of 111 ones plus 1 hundreds 11 tens?
111 = 111 x 1
100 = 1 x 100
110 = 11 x 10
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321 = total
What fraction of 2.30 is 0.69?
I believe you're asking to solve for x if x/2.30 = 0.69. If so, x = 1.59.
A single digit in a number can have a place value. A number with several digits cannot.
The mass of carbon -12 atom is known as standard atomic mass
Operating ratios are types of ratios that serve as gauges of a company's operating success (or profitability) for a given period of time. They are also known as profitability ratios.
What are the units of measure for atomic mass?
It is measured in Atomic Mass Unit i.e. molecular mass unit (u - micron)
1u = 1.66x10^-27 kg
Why cant absolute zero be obtained?
Absolute zero is where all of the molecules of all the atoms cease to move. This is unachievable by today's science because you cannot stop an atom completly.
Who discovered that the speed of light is constant?
James Clerk Maxwell, the English physicist and mathematician, working with results
published by Faraday and Coulomb and Gauss and Ampere and all the other scientists
before him who worked on electricity, put all of their work together, and discovered
(mostly with math) that all of this electric and magnetic stuff should produce waves
that can travel through empty space and carry energy from one place to another.
Other smart people thought that was all very interesting, but if these waves existed,
then what would they look like ? What would they sound like ? What would they
feel like ? What would they smell like ? How would you know if there were any of
these mysterious waves around you ?
From Maxwell's math, he was able to tell what the speed of these waves would be
if they existed. It was a very high speed, and very tough to measure, but as years
went on and experimental technology got better and Physicists got smarter, a lot of
scientists made better and better measurements of the speed of light. And the more
accurate their measurements got, the closer and closer their numbers came to the
speed of these mysterious "electromagnetic" waves from Maxwell's equations.
It finally became obvious that these waves are all around us, and that light is
a form of them. Could they also exist in other forms ? What do you think ?
Solvency ratios are rations that indicate the ability of a company to meet its long-term obligations on a continuing basis and thus to survive over a long period of time.
When calculating an atoms approximate mass how is the mass of electrons figured?
electrons are the same as protons
What is the si unit for measuring gas?
Depends on what you are measuring. If you need to determine the amount of gas, the best unit would be the mole; but depending on the situation the gram might be acceptable. Avoid using volume units like liters as for those to have any real meaning you also need to know the pressure and temperature of the sample.
Is any Armstrong number above 1000?
No, because according to one definition, an Armstrong number can have only three digits.
Armstrong numbers belong to a class of numbers, called Narcissistic numbers. A Narcissistic number of n digits must equal the sum of the nth power of its digits.
So, the smallest 4-digit Narcissistic number is 1634 = 1^4 + 6^4 + 3^4 + 4^4.
The largest Narcissistic number is the 39-digit numbers:
115132219018763992565095597973971522401.
It has been proved, by D Winter in 1985, that there can be no larger Narcissistic number in base 10 arithmetic.
What are the first 40 numbers of pi?
The first 40 decimals of pi are
3.1415926535 8979323846 2643383279 5028841971
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To get a lot of decimals simple search "decimals of pi" in Google - there are many pages.
