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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
How do you get the answer of 89-29.341?
Do the math!Line up the numbers, one below the other so that the decimal points are aligned. Remember that 89 is equivalent to 89.000. Then carry out the subtraction of 39341 from 89000 as normal. Insert the decimal point in the same column.
What are some unique properties of imaginary numbers?
1. i1 = i, i2= -1, i3= -i, i4= 1, i5= i, i6= -1 and so on.
2. Euler's constant e, when raised to the power of a complex number, gives a point in the complex plane according to Euler's Identity, e^(iθ
) = cos(θ
) + i*sin(θ
).
Whenθ
is replacedby pi, we get:
e^(iπ)
= cos(π
) + i*sin(π
)
= -1 + 0
= -1
In other words, e^(iπ)
+ 1 = 0.
3. Many intriguing fractals have been discovered in the complex plane, the most famous of which is the Mandelbrot Set. This is formed by an iterative process of a point in the plane. It produces a beautiful image, nicknamed by many as the "Thumbprint of God". (Google Images is your friend here - check it out.)
4. De Moivre's Theorem holds true in the realm of the imaginary, stating that
(r cisθ
)n= rncis nθ
.
This is a fascinating theorm in itself, but it also has hidden implications.
For example, if r = 1 (the point was 1 unit away from the origin), and you were to plot this point with a small angle above the positive real axis, then raising this number to an increasing power would result in that point making a full revolution about the origin and coming right back to where it started.
This is because rnstays the same (1^(anything) = 1), but the angle is slowly increasing as the power does. Therefore, as the angle increases, a circle is plotted around the origin with radius 1.
There are many other fascinations around complex numbers, but this covers the basics.
No. I have heard it described as "The Eleventh Commandment" : "Thou Shalt Not Divide By Zero". Attempts to do so result in an "infinity".
in simpler, e=1+1/1!+1/2!+1/3!+...
"!" means multiply the previous numbers together (EX: 5!=5x4x3x2x1)
How many zeros in a googol times 10?
A googol consists of 100 zeroes, therefore, multiplying a googol by 10 would give 1 followed by 101 zeroes.
Why do constant constants have units?
Constants in the sense you mean are different to mathematical constants. They usually refer to a system in which two values are proportionate and so are of the units associated with the system.
What is the place and value of 62468?
A single digit in a number can have a place value. A number with several digits cannot.
I will assume you meant to ask,
"What is absolute zero?"
Absolute zero is the lowest possible temperature, at -273 degrees Celsius, or 0 Kelvins.
What are the first 200 numbers of pi?
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819
Why zero divided by 0 equals to two?
Actually, zero divided by zero is a non-real number, not two. This has to do with some complicated rules of math, but the simplified rule is division by zero is not possible.
In boyle's law which is held constant?
In case of BOYLE'S law,temperature is held constant! thank you!!
Why is anything divided by zero undefined?
because it would be every positive number and there are infinaty numbers so people don't do it.
What is Avogadro's Number used for?
It is the number of particles in one mole of a given substance. used to convert units.
Is the volume of a gas directly or inversely proportional to the number of particles in a gas?
Directly proportional, at pressure and temperature constant.
How does the radius of the electron cloud compare to the radius of the nucleus?
It is about 100,000 times larger
