Step 1: Understanding D Value
The decimal reduction time (D value) is the time required at a specific temperature to reduce the microbial population by 90%.
Step 2: Evaluating the Options
- Thermal death time (TDT): The time needed to kill all the organisms at a given temperature, not just 90%.
- Decimal reduction time (D value): Correct, the D value measures the time to kill 90% of the organisms.
- Generation time: Time it takes for a population to double, unrelated to microbial death.
- Doubling time: Similar to generation time, refers to population growth.
Step 3: Conclusion
The correct term for killing 90% of organisms is the decimal reduction time (D value).
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.