Question
The value of $T\left(\frac{1}{2}\right)$ is :
The correct answer is
$\sqrt{\pi}$
Identify T(x) Function
The question asks for the value of $T\left(\frac{1}{2}\right)$. Given the options and the common mathematical context where such questions appear, $T(x)$ typically represents the Gamma function, denoted as $\Gamma(x)$.
Evaluate T(1/2) Using Gamma Function Property
The Gamma function $\Gamma(x)$ is a generalization of the factorial function to complex and real numbers. A fundamental property of the Gamma function is its value at $x = \frac{1}{2}$:
$ \Gamma\left(\frac{1}{2}\right) = \sqrt{\pi} $
Assuming $T(x) = \Gamma(x)$, we can directly apply this property:
$ T\left(\frac{1}{2}\right) = \Gamma\left(\frac{1}{2}\right) = \sqrt{\pi} $
Conclusion
Therefore, the value of $T\left(\frac{1}{2}\right)$ is $\sqrt{\pi}$.
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Important Questions from Miscellaneous
- Which of the following scheduler/schedulers is/are also called CPU scheduler ?
(A). Short Term Scheduler
(B). Long Term Scheduler
(C). Medium Term Scheduler
(D). Asymmetric Scheduler
Choose the correct answer from the options given below: - A situation where two or more processes are blocked, waiting for resources held by each other is called:
- External fragmentation occurs ________.
- Which disk scheduling algorithm looks for the track closest to the current head position?
- Which CPU scheduling algorithm prefers the process with the shortest burst time?
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