Mathematical Constants

10100. If you write it out, you have a 1, followed by 100 zeroes.

The atomic mass of francium is approximately 223. It is a highly radioactive element and the heaviest known alkali metal.

Excellent question! It appears you're trying to connect the frequency of a wave to its velocity through the medium in which it's traveling, and you'll need to uncouple them. Let's look at some things to help you do that. If you've stood alongside a roadway and watched (and listened to) cars coming at you, you notice the pitch is higher as the vehicles approach, then lower as they pass and move away. The air is not moving toward you (unless you are way too close), and the sound is not coming at you "faster" and then "slower". The sound is traveling through the air at the same rate no matter which way the vehicle is moving. Here's what's happening. Sound comes from the source in the form of waves, moving out like an expanding bubble. When the vehicle is coming toward you rapidly, the vehicle shortens the gap between the siren and the next wave. The gap shortens because the sound only travels so fast and no faster, but the vehicle is catching up a little before the next wave comes out. This keeps happening, and if you could see the waves, you would see them bunching up together. The waves are closer. This means that there are more waves in one second's worth of sound. The frequency of sound waves is what gives rise to our experience of pitch. Higher frequency equals higher pitch. You can see what happens when the vehicle recedes. The sound is still traveling at the speed of sound, but because the vehicle is moving away, this has the effect of putting more space in between the waves of sound. there are fewer waves per second as the vehicle moves away from you; the sound hasn't changed velocity. Lower frequency equals lower pitch. It is essentially the same with light. Light, of course, does not need air or any other substance to travel through as sound does. But the light is not speeding up or slowing down. You are seeing either the "bunching up" of light waves or the "thinning" of the waves, depending on which way the object is moving. Think about it this way too. When you see light of various colors around you, you aren't imagining the different colors coming at you at different velocities, right? They all travel at the speed of light.

It is 0.2

Remains unaltered

There are 8 zeros.

The value of the Golden Ratio is (1 + sqrt(5))/2. It is visually appealing because it is!

complex

A "fact" is basically anything you can state, especially if such a statement is true. Since you can say "light has a speed", and since that is true, it follows that it's a fact.

Light through a "vacuum" is the meaning of "the speed of light." Light through glass is slower.

No. Just try it out. Typically a calculator will show an error message if an invalid operation is attempted.

Yes. The square root of 49 is 7, because 7 * 7 = 49. Seven does not have a decimal and is therefore a whole number.

Calcium has atomic number of 20, an atomic weight of 40.078 and an mass numbers of 40 - 48 inclusive in its isotopes. Atomic number is the count of protons in the nucleus. Mass number is the count of protons plus neutrons.

The question refers to atomic mass rather than atomic weight.

Atomic mass normally refers to the mass of a specific isotope of an element and is related to the mass number. Atomic weight ( or relative atomic mass as it is termed by IUPAC) the average mass of naturally occurring isotopes of an element.

The relationship between mass number and atomic mass is defined in terms of the Atomic mass unit which is in simple terms 1/12 of the mass of a 12C atom.

If you need to find out more about the relationship between mass number and and atomic mass you need to read the article "atomic mass unit" in wikipedia.

A parameter is a variable which takes different values and, as it does, it affects the values of some other variable or variables.

zero divided by 14 is zero ( zero divided by anything other than zero is always zero/)

In the 1940s. A more detailed time-frame is not readily available.

In mathematics, division by zero has an "undefined" result.

Here is how you calculate a coupling constant J: For the simple case of a doublet, the coupling constant is the difference between two peaks. The trick is that J is measured in Hz, not ppm.

The first thing to do is convert the peaks from ppm into Hz. Suppose we have one peak at 4.260 ppm and another at 4.247 ppm. To get Hz, just multiply these values by the field strength in mHz. If we used a 500 mHz NMR machine, our peaks are at 2130 Hz and 2123.5 respectively. The J value is just the difference. In this case it is 2130 - 2123.5 = 6.5 Hz This can get more difficult if a proton is split by more than one other proton, especially if the protons are not identical.

Originally, they were invented to provide solutions to algebraic equations, which would otherwise have no solution. Through the work of Euler, Gauss and others, the usefulness of imaginary and complex numbers in applications of periodic motion and waves was recognized. See related links.

The speed will depend on its initial velocity and any forces acting on it.

m3 kg-1 s-2.

This question has already been answered. Zero divided by zero is zero itself. It is NOT equal to two.