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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
In a right-angled triangle the area of the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides.
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 for a system of coplanar, concurrent, and non-parallel forces in equilibrium, the magnitudes of the forces are directly proportional to the sines of the angles they make with a reference axis. This theorem is applicable when three forces act on a point and are in equilibrium. The forces must be concurrent, meaning they all meet at a single point, and coplanar, meaning they all lie in the same plane. Additionally, the forces must not be parallel to each other.
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.
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what is mid point theoram?
The radius-tangent theorem states that a radius drawn to the point of tangency of a circle is perpendicular to the tangent line at that point. This theorem is based on the fact that the radius of a circle is always perpendicular to the tangent line at the point where the tangent touches the circle. This relationship is crucial in geometry and helps in solving various problems related to circles and tangents.
(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.