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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 avogadro's number the same as molar mass?

no youre thinking of molar mass and atomic weight although you use avogadro's number to find molar mass

What is the entire number for pi?

c/d, where c is the circumference of a circle, and d is it's diameter. There is no way to express every individual digit of pi, as there are an infinite number of them. This the basic principle of what we call an irrational number.

In which other fields is the lettr you of imaginary number used?

Imaginary, or more precisely complex numbers (vectors that have a real part and an imaginary part) are used in a variety of fields, including:

  • Electrical engineering - in AC, several quantities are best described by complex numbers.
  • Quantum physics
  • Theoretical math - often, an understanding of complex numbers can even help you better understand real numbers.
  • Art - for a start, take a look at the Mandelbrot Set!
  • And many others more.


Imaginary, or more precisely complex numbers (vectors that have a real part and an imaginary part) are used in a variety of fields, including:
  • Electrical engineering - in AC, several quantities are best described by complex numbers.
  • Quantum physics
  • Theoretical math - often, an understanding of complex numbers can even help you better understand real numbers.
  • Art - for a start, take a look at the Mandelbrot Set!
  • And many others more.


Imaginary, or more precisely complex numbers (vectors that have a real part and an imaginary part) are used in a variety of fields, including:
  • Electrical engineering - in AC, several quantities are best described by complex numbers.
  • Quantum physics
  • Theoretical math - often, an understanding of complex numbers can even help you better understand real numbers.
  • Art - for a start, take a look at the Mandelbrot Set!
  • And many others more.


Imaginary, or more precisely complex numbers (vectors that have a real part and an imaginary part) are used in a variety of fields, including:
  • Electrical engineering - in AC, several quantities are best described by complex numbers.
  • Quantum physics
  • Theoretical math - often, an understanding of complex numbers can even help you better understand real numbers.
  • Art - for a start, take a look at the Mandelbrot Set!
  • And many others more.

Is there a relation between Faraday's constant and current density?

i=F*sum(zi*Ci) where, i is the current density, F is Faradya's constant, zi is the velence of species i, Ci is the concentration

Can you find pi on the number line?

Only approximately. Since pi is an irrational number, it cannot be expressed numerically, but only symbolically. You can put a dot on the line very close to where pi would be, but if the scale of the line were magnified enough, there would always be some error in the placement of the dot.

How do you find the number of pi?

By examining the formula:

C= πd

Where C is the circumference of a given circle, π is pi and d is the diameter of the circle.

We can infer that (C/d)=π

So pi is the value of the circumference of ANY circle divided by its diameter.

Speed of red light and blue light in a vacuum?

In a vacuum the speed of red and blue light are the same as all light, 300,000,000m/s. Their frequency and wavelength will be different but the speed remains the same.

What is Vitruvian Man golden ratio?

Vitruvia Man is a famous ink drawing by Leonardo DaVinci.
In it, DaVinci uses the golden ratio several times to make the proportions of the male figure.

Explain how avogadro's number can give two conversion factors?

using Avagadro's number you can go from a number of something to mols, or you can go backwards, from mols of something to particles/atoms/molecules etc.

When were imaginary numbers invented?

Rafael Bombelli defined imaginary numbers in 1572, and Descartes named them 'imaginary' in 1637. It wasn't until the work of Euler in the 1700's that a usefulness for imaginary numbers was found, though. See the Wikipedia articles I linked for some good information on imaginary and complex numbers. I also linked an explanatory video that is pretty good as well.

Why is any number divided by zero is not defined?

Because it is impossible to find out how many lots of nothing (zero) you can fit into a given number. Some people think that the answer is infinity, however all calculators will say there is an error

What does the square root of 2 equal to?

It is an irrational number meaning that it cannot be represented as a fraction or with any number of decimal places (it would go on for an infinite amount of digits). It can only be approximated. To 5 decimal places it is:

1.41142

Avogadro's number of representative particles is equal to one mole?

Yes. 6.022 * 1023, the number of atoms or molecules in one mole, is also known as Avogadro's number.

What is the 75th number of pi after decimal point?

Please search: Pi = 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

What propels light to the speed of light?

Nothing propels it at all. It actually always goes that fast, even from its creation. To explain it to you mathematically would require the use of 4-D tensor products, so I won't bother with that here. Suffice it to say, that is one of the postulates of Einstein's general relativity. Light always travels at the same speed in any reference frame.

Have a 1984 Chevy Caprice Classic with a 5.0 Liter LG4 engine. I think it could be a 307 because the timing says to set it at 20 degrees BTDC and the Hayes manual lists 20 deg. as the set for 85 307?

307 Chevrolet was phased out in 1973. There was 307 cubic inch Oldsmobile V8, but that motor was not offered in the Caprice. You have a 305 if it's a gas-burning V8. The only other engines offered for that year were the base V6 and the diesel-burning 350.

this above answer is wrong.

the caprice did indeed use a 307 in the 80s.

Can all wavelengths of light travel at the same velocity in certain mediums?

Yes, all wavelengths of light have the same velocity in every medium. In fact, all types of electromagentic radiation travel at the same speed in a given medium.