The virial theorem relates the total kinetic energy of a self-gravitating body due to the motions of its constituent parts, T to the gravitational potential energy, U of the body. What does the virial theorem indicate for a galaxy in a steady state? The virial theorem provides a very simpleRead More →

Parseval’s theorem states that the energy of a signal in the time domain equals the energy of the transformed signal in the frequency domain. What is parseval’s theorem in Dtft? Remarks: Parseval’s theorem tells us that the DTFT is a linear transform that preserves the norm of a signal (upRead More →

The molecules of the gas are point particles that do not interact with each other. So it does not take energy for the molecules of an ideal gas to separate from each other. This means that the internal energy consists only of kinetic energy (no potential energy). Does every degreeRead More →

Explanation: No we cannot solve all the recurrences by only using master’s theorem. … Explanation: The recurrence relation of merge sort is given by T(n) = 2T(n/2) + O(n). So we can observe that c = Logba so it will fall under case 2 of master’s theorem. Can Master theoremRead More →

Chebyshev’s theorem is used to find the proportion of observations you would expect to find within a certain number of standard deviations from the mean. Chebyshev’s Interval refers to the intervals you want to find when using the theorem. What is the formula for Chebyshev’s theorem? Two standard deviations equalRead More →