Fundamental theorem of arithmetic :- Every composite number can be expressed (factorized) as a product of primes, and this factorization is unique . apart from the other in which factors occur.
Convolution TheoremsThe convolution theorem states that convolution in time domain corresponds to multiplication in frequency domain and vice versa:Proof of (a):Proof of (b):
states that the external effect of force are independent of the point of application of the force along its line of action.
The empirical rule can only be used for a normal distribution, so I will assume you are referring to a normal distribution. Chebyshev's theorem can be used for any distribution. The empirical rule is more accurate than Chebyshev's theorem for a normal distribution. For 2 standard deviations (sd) from the mean, the empirical rule says 95% of the data are within that, and Chebyshev's theorem says 1 - 1/2^2 = 1 - 1/4 = 3/4 or 75% of the data are within that. From the standard normal distribution chart, the answer for 2 sd from the mean is 95.44% So, as you can see the empirical rule is more accurate.
Pythagoras most famous proof is the pythagorean proof . It states that in a right angled triangle , the square of hypoteneus ( the longest side of the triangle ) is equal to the sum of squares of the other two sides .
Fundamental theorem of arithmetic :- Every composite number can be expressed (factorized) as a product of primes, and this factorization is unique . apart from the other in which factors occur.
The crucial importance of prime numbers to number theory and mathematics in general stems from the fundamental theorem of arithmetic.
A reversible process is one that can be undone with no change in entropy of the system and surroundings. A cyclic process is one that starts and ends at the same state, with the system going through a series of state changes. All reversible processes are cyclic, but not all cyclic processes are reversible.
I will give a link that explains and proves the theorem.
kleene's theorem state that those who defined fa
Since internal energy is a state function and a cyclic process always returns to the same state (that's how you define a cyclic process), the value of the the internal energy will remain constant. That is not to say that it doesn't change along the cyclic path during the process - just that it always returns to the same value when the cycle is complete.
what is mid point theoram?
It was the Fundamental Order
state constitutions
(cos0 + i sin0) m = (cosm0 + i sinm0)
The state constitution
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.