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What does the fundamental theorem of arithmetic state?
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.
State and prove convolution theorem for fourier transform?
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):
State and explain Theorem of transmissibility of forces?
states that the external effect of force are independent of the point of application of the force along its line of action.
State the main reason for using the empirical rule rather than chebyshevs theorem?
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.
What does Pythagoras most famous proof state?
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 .
What does the fundamental theorem of arithmetic state?
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.
State the characterictics prime numbers share?
The crucial importance of prime numbers to number theory and mathematics in general stems from the fundamental theorem of arithmetic.
What is the difference between reversible and cyclic process?
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.
State and prove Arzela Ascoli theorem?
I will give a link that explains and proves the theorem.
Definition of kleene's theorem plus example?
kleene's theorem state that those who defined fa
What is the value of internal energy in a cyclic process in thermodynamics?
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 does each theorem state?
what is mid point theoram?
A model for future state constitutions in America was the?
It was the Fundamental Order
How do you find the standard form after you have used the De Moivre's theorem?
(cos0 + i sin0) m = (cosm0 + i sinm0)
What form the fundamental laws of the state government?
state constitutions
What does the triangle inequality theorem state?
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.
What does the Central Limit Theorem state?
The Central Limit Theorem (abbreviated as CLT) states that random variables that are independent of each other will have a normally distributed mean.
