states that the external effect of force are independent of the point of application of the force along its line of action.
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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):
State and explain problems in measurement and evaluation
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.
The principle of transmissibility of pressure states that when a pressure is applied at any point in a confined fluid, it is transmitted equally in all directions through the fluid. This means that the pressure acts equally on all surfaces in contact with the fluid, regardless of the point at which it is applied. It is a fundamental concept in fluid mechanics and is used to analyze and predict the behavior of fluids under various conditions.
Lami's theorem states that if three forces are in static equilibrium, then the magnitude of each force is proportional to the sine of the angle between the other two forces. Since the forces are in static equilibrium, they sum to zero. This means that if the force vectors are put end-to-end, they form a triangle. The "law of sines" applies to any triangle, and states that the length of each side is proportional to the sine of the opposite angle. Interpreting the sides as force vectors, we get a statement of Lami's theorem.
I will give a link that explains and proves the theorem.
kleene's theorem state that those who defined fa
List all the intermolecular forces between solutes2) List all the forces between solvents3) List all the intermolecular forces between solvent and solute4) State the energy comparisons.
A balanced group of forces acting on the object has no effect on its motion. The object continues moving in a straight line at constant speed.
what is mid point theoram?
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(cos0 + i sin0) m = (cosm0 + i sinm0)
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.
The Central Limit Theorem (abbreviated as CLT) states that random variables that are independent of each other will have a normally distributed mean.
To use a theorem to prove statements, you first need to identify the relevant theorem that applies to the situation at hand. Next, you clearly state the hypotheses of the theorem and verify that they hold true for your specific case. Then, you apply the theorem's conclusion to derive the desired result, ensuring that each step in your argument logically follows from the theorem and any established definitions or previously proven results. Finally, you summarize how the theorem provides the necessary justification for your statement.