Subgroup of cyclic group
Let the dihedral droup Dn be given by element the of order n and b of order 2, where ba = a^1b. Describe that any subgroup of cyclic group generated by a is normal in Dn.
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Management is concerned that the further drop in sales volume will generate the loss and is considering the temporary suspension of operations until demand in the metals markets reebounds and prices once again rise.
Design a finite state machine which takes in string of bits, and terminates in an accepting state if the string of bits ends with 10110. Clearly point out the meaning of each state. Hint: it can be done with 6 states.
A function f is defined on the set of real numbers. Determine whether or not f is one-to-one and justify your answer.
Write down a code to calculate a natural spline S(x) which interpolates a collection of given points (x0, y0),(x1, y1), , , ,(xn, yn) where x0 < x1 < x2 < . . . < xn.
Describe that the system has two equilibriam and find the linearizations of this system around those points. Calculate and plot the solution of both the linear and nonlinear system.
A ladder 20 feet long is placed against a wall. if the distance on the ground from the wall to the ladder is 12 feet , how many feet up the wall does the ladder reach?
Illustrate a relation R on X by xRy iff f(x)=f(y). Determine the equivalence classes?
Prove that the greatest common divisor of the integers a and b is the same as the greatest common divisors of the integers a-b and b.
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