Bissoy.com
Doctors Medicines MCQs Q&A

Invariant permutations of two functions can form __________

Invariant permutations of two functions can form __________ Correct Answer groups

Suppose, there are two functions f1 and f2 which belong to the same equivalence class since there exists an invariant permutation say, π(a permutation that does not change the object itself, but only its representation), such that: f2*π≡f1. So, invariant permutations can form a group, as the product (composition) of invariant permutations is again an invariant permutation.

Related Questions

Which of the following statements are correct? 1. A continuous-time system is said to be time-invariant if the parameters of the system do not change with time. 2. The characteristics of a time-invariant system are fixed over time. 3. If the input to the time-invariant system is delayed by t0 seconds, the characteristics of the output response are also delayed by t0 seconds.
Letx(t) be the input and y(t) be the output of a continuous time system. Match the system properties P1, P2 and P3 with system relations R1, R2, P3, P4.
Properties
P1 : Linear but NOT time-invariant
P2 : Time-invariant but NOT linear
P3 : Linear and time-invariant
Relations
R1 : y(t) = t2x(t)
R2 : y(t) = t |x(t)|
R3 : y(t) = |x(t)|
R4 : y(t) = x(t - 5)
As per the RBI Act, 1934, the following functions are described as the functions of a Central Bank:
1. Banking functions
2. Advisory functions
3. Supervisory functions
4. Promotional functions
Identify the correct combination:
The permutations of {a, b, c, d, e, f, g} are listed in lexicographic order. Which of the following permutations are just before and just after the permutation bacdefg?
Von-mises or Distortion-energy Criteria proposed that yielding will occur when the second invariant of the stress deviator J2 exceeds some critical value. The second invariant of the stress deviator J2 is equal to __________ b) 1/2 c) d) 1/2
Assertion (A) It has been suggested that while roles answer the question 'how to be interfaced with other people to reach our goals'? Functions answer the question 'what do you do to accomplish our goals'?
Reason (R) Roles are more relational while functions go beyond inter-personal relations. Functions such as planning, decision-making etc may not necessarily involve working with others and several managerial functions can be performed without communication with people.
There are two sets given below. Set – I specifies the IT related acronyms, while Set – II indicates their functions. Match the two and give your answer by selecting the appropriate code.   Set – I  (Acronyms)    Set – II (Functions) (a)    CPU (i) Type of technology used on a flat–screen monitor. (b)  RAM   (ii)  Controls all the functions performed by the computer’s other components. (c)  ROM   (iii)  Temporary storage, also known as primary storage. (d)  LCD   (iv)  Permanent storage that is not erased when the computer’s power is turned off.
Abstract class A has 4 virtual functions. Abstract class B defines only 2 of those member functions as it extends class A. Class C extends class B and implements the other two member functions of class A. Choose the correct option below.
20 amino acids undergo different permutations and combinations to form a large number of proteins.
The impulse response functions of four linear systems S1, S2, S3, S4 are given respectively by
$${h_1}\left( t \right) = 1,$$   $${h_2}\left( t \right) = u\left( t \right),$$   $${h_3}\left( t \right) = \frac{{u\left( t \right)}}{{t + 1}},$$    $${h_4}\left( t \right) = {e^{ - 3t}}u\left( t \right)$$
Where u(t) is the unit step function. Which of these systems is time invariant, causal, and stable?