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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 are some imaginary numbers?
i is the Imaginary Unit, equal to sqrt(-1). So i and any real number multiplied by i will all be imaginary numbers. Here are some: i, -i, 5i, -3i, i*pi, etc.
Look at the 9 and 3 which are bolded. If you're counting from 3 as the first digit (3.14...) , then the 9 is the 43rd digit. If you count the 1 (3.14...) as the first digit, then the 3 after that 9 is the 43rd digit.
Pi = 3.1415926535 8979323846 2643383279 5028841971 6939 93 7510 5820974944 306647 0938446095 505825923078164 0628620899 8628034825 3421170679 8214808651 328223172 5359408128 4811174502 8410270193 .... (no end)
Formula for refractive index in terms of speed of light in vacuum and speed of light in a medium?
Refractive Index= Speed of Light in Vaccum / Speed of Light in the material
Is a circumference of a compact disk a real number or imaginary?
I sense you're talking about the infinite disk, the hyperbolic disk or the Poincare
disk. The limit of the circumference is infinite and a real number and is not actually part of the hyperbolic plane.
Is there anything faster than the speed of light in a vacuum?
No. At least, all available evidence seems to indicate that it is not possible to transfer matter, energy, or information faster than the speed of light.
What's the mathematical term 'e' stands for what number?
e is a number equalling approximately 2.71828 and is the base for natural logarithms.
It is special because the derivative of ex is the same as itself.
e has many useful properties; the best known which is Euler's equation and which brings together e, i (the imaginary square root of -1) and the trigonometric functions:
eix = cos(x) + isin(x)
When x = π, this gives: eiπ = -1
Which is highest centillion or quadrillion?
According to the link I'm posting, a quadrillion is 1015, and a centillion is 10303, so centillion is bigger.
What is the approximate number for Pi?
Common approximations are: 3.14, 22/7 and this one, correct to six places, 355/113 which gives 3.141593.
What is the exact value of the speed of light in a vacuum?
The speed of light in a vacuum is 299 792 458 meters per second or 983,571,056.43045 feet per second or 186,282.397 miles per second or 670,616,629.2 miles per hour.
Are the molecules in a gas in constant motion?
Yes, the molecules of a gas are constantly in a random motion if the gas temperature is more than 0 degree kelvin. This random motion determines the average kinetic energy of the molecules which is equal to the temperature of the gas.
I hope this answers your question.
What effect of gravitational acceleration on Gravitational constant G?
The gravitational constant, G (big G), is a physical constant that doesn't change at all. The magnitude of gravitational acceleration, g (little g), has no effect on G.
Little g is used as an approximation for near-surface gravity of a planet (or other large mass). The reason it is used is because the formula for universal gravity and Newton's second law:
- F = G (mplanet*mobject)/(r3) -- r is the distance between the centers of mass
- F = mobject*aobject
- aobject = G (mplanet)/r3
We call the above magnitude, g. Each planet has its own g and Earth's is about 9.8 m/s2.
Why do people use the golden ratio?
There are several reasons. Two of them are:
1. It is said to be aesthetically pleasing.
2. It allows standard sizes of paper, such as A0, A1, A2, A3, A4, A5 etc and the B0, B1, etc where each size shares the measure for one side with its neighbour, and its other side is half that of its left neighbour and double that of the one to its right. The ratio of the two sides of any one of these sheets of paper is the Golden Ratio.
It would be investigated as possible terrorism because it was near a government building in the days following.
Why is the sunset more colorful than the sunrise?
Various colors are seen during sunrise and sunset because the light travelling through the air is scattered by air particles. Shorter wavelengths like blue and green scatter more than the longer wavelength of red and orange. At sunrise and sunset, the path of the light through the atmosphere is longer so no blue and green are visible and only red and orange light the sky. Sunset colors are more brilliant than sunrise because the evening air contains more particles as compared to the morning air.
How do you find the atomic mass of an element?
Atomic mass (not to be confused with atomic mass number) refers to the mass of a given atom of a specific isotope, and is often expressed in unified atomic mass units. Atomic mass is found by adding together the individual masses of the protons and neutrons in the nucleus (the mass of electrons is comparatively insignificant). The value displayed on the periodic table is a weighted average based on the relative natural occurrence of all possible isotopes of an element.
What makes atomic mass complicated is the fact that elements come in more than one isotope. Chemists need to know what a given element will actually weigh, in order to know how much to use (and so forth) when working with it in their laboratories, so the atomic mass refers to the actual weight of that element, per atom on the average. This depends upon the isotopes that exist, and also upon the relative abundance of those isotopes. It can only be determined experimentally, it is not something derived from the periodic table. You have to actually weigh the element to find out what it weighs.
*The atomic mass number of an element is the total number of neutrons and protons for a given isotope. For example 14C or carbon-14 has 6 protons and 8 neutrons.
Atomic mass is equivalent to the number of?
The atomic mass is the mass of an atom of that element in AMUs. (Atomic Mass Units)
The atomic number, however, is equivalent to the number of protons in an atom of that element.
The relative atomic mass of an element is the weighted average of the masses of the isotopes relative to 1/12 of the mass of a carbon-12 atom.
It is a weighted average as it takes into account the relative abundances of the different isotopes (atoms of the same element but with different numbers of neutrons) of an element. This number is found in the periodic table.
For example chlorine has two isotopes, 35Cl and 37Cl, in the approximate ratio of 3 atoms of 35Cl to 1 atom of 37Cl.
The number of protons and neutrons in a 35Cl atom must add up to 35, the mass number. The relative atomic mass of chlorine takes into account both isotopes and is therefore 35.5.
What does the atomic mass equals the number of?
An isotope's mass number is the sum of the protons and neutrons in each atomic nucleus of the isotope.
What are equivalent ratios to 110?
If you mean 1 to 10 then the equivalent ratio is 10 to 100
If you mean: 1 to 10 then the equivalent ratio is 10 to 100
Is the muffin snail sea shill a golden ratio?
No.
The golden ratio appears in plants but not animals.
Snail shells may grow in a spiraling (exponential) growth pattern but the golden ratio implies one particular growth rate which nature does not demand of them.
What are the dimensions of the golden ratio?
The golden ratio is a pure number and so has no dimensions.
The golden ratio is a pure number and so has no dimensions.
The golden ratio is a pure number and so has no dimensions.
The golden ratio is a pure number and so has no dimensions.
What does the atomic mass tell us?
it tells us that the number is equal to the number of protons plus the number of nuetrons in the nucleus of an atom
