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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

What is a hydrodynamic coupling?

A hydrodynamic coupling is used on a tractor to convert the power of the engine for other purposes. It allows you to operate equipment such as a post hole digger, hay baler, or log splitter from a connection on the tractor.

Which letter is used generally to denoted the golden ratio?

The Greek letter phi, which is like a circle with a diagonal; line running through it from upper right to lower left.

25 as a ratio?

A ratio is a comparison (by dividing) of two numbers, so 25 by itself is not a ration. One quantity (for example a population) might outnumber another one by 25 to 1, or by 25 to 24. Those are ratios.

What is the biggest number that MATLAB can represent?

It has been awhile, but if I recall, I think it has a way to represent infinity. But infinity is a concept, not an actual number. I am sure that their website would list the specs, though.

Why is zero raise to zero undefined?

By definitions,x^0 = 1 for any non-zero number x

also

0^x = 0 for any positive x


So, if 0^0 was defined, then the first definition would say it was equal to 1 and the second that it was equal to 0.


There is a more detailed but complicated explanation which relies on limits but I hope this will suffice.

When did Dalton publish law of constant composition?

Joseph Proust, based on experiments conducted at the end of the 18th Century claimed that elements combined in constant proportions. Dalton's atomic theory, (1903) built on this earlier work and put it into a theoretic framework.

How can you get atomic mass?

Pick up a periodic table. There are numbers above and below each element. Eg, carbon will have a 6 (atomic number) and 12(.011). The 12.001 is Carbon's mass. If it is molecular mass, it involves adding the atomic masses together. And remember, say if it is O2 you add it twice because there are two of that element.

Why is pi an irraitonal number?

The value of pi is an irrational number because it cannot be expressed as a fraction

How does the average speed of light in glass compass with its speed in a vacuum?

There are several different types of glass, and light has a somewhat different speed

in each of them.

On the average, the speed of light across all typical types of glass is in the neighborhood

of 2/3 its speed in vacuum, or around 200,000 km/sec .

Why is the square root of 2 times the square root of 2 two?

It is usually taken to be 2 because the taking the square root is considered to be the inverse of squaring - or multiplying by itself.

However, sqrt(2) * sqrt(2) can be equal to -2 (instead of 2) if the two square roots are allowed to take opposite signs.

What the mean by law constant of proportion?

It means that different compounds composed of the same elements have their own unique proportion of those elements. For example, both water (H2O) and hydrogen peroxide (H2O2) are composed of hydrogen and oxygen. However, the proportion of hydrogen to oxygen in water is 2 to 1, and the proportion of hydrogen to oxygen in hydrogen peroxide is 1 to 1.

Who is attributed with the discovery of the golden ratio?

Nobody has been identified.

The Golden ratio has fascinated people in ancient cultures for centuries. It has been of interest, not just to mathematicians, but also to biologists, musicians, architects, artists, and other disciplines.

How do you turn imaginary numbers into real numbers?

The imaginary number (i) is defined as the square root of -1.

If you multiply i by i you get -1

What is the historical significance of the golden ratio?

History Golden Ratio ( 1.61803398875...) The golden ratio has fascinated Western intellectuals of diverse interests for at least 2,400 years. According to Mario Livio: Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics. Source: Wikipedia, Golden Ratio

How is Avogadros number related to a mole?

Avogadro's number (generally written as 6.02 x 10^23) is the number of atoms or molecules it takes to have one mole of a particular atom or molecule. For example, one mole of Hydrogen is just 6.022x10^23.

Are molecules of a substance in motion only as a gas?

No, they are in motion in a liquid as well. In a solid they vibrate in place.