Finding the Max and Min Modulus

Related BrainMass Solutions

• Design Engineering (Maximum Power Transmitted; Maximum Torsional Shear Stress; Greatest Twist in Degrees)

  It uses tension and torque to find maximum power, as well as twisting moment and polar modulus to find greatest twist.

• Finding descriptive sample statistics

  To find out the range=Max - Min, we need to find the maximum and minimum. For instance, if we want to compute the range of the data: weights. Then we can use the functions MAX and MIN (both can be found in Excel).

• Maximum Modulus Theorem : Let f be analytic in the disk B(0;R) and for 0 =< r < R define A(r) = max { Re f(z) : |z| = r}. Show that unless f is a constant, A(r) is a strictly increasing function of r.

  But we note that max{|g(z):|z|=r}=exp(A(r)) and max{|g(z)|:|z|=s}=exp(A(s)), so we have exp(A(r))The maximum principle and maximum modulus theorem are investigated.

• Finding extreme values for functions of two variables

  To get the absolute max and min, we have to determine the limit of the function as it approaches the "edges" of the domain and compare these with the values of the local maxima and minima found.

• Calculating the Second Moment of Area

  Using the formula below, calculate the second moment of area of the bar and use this to estimate the modulus of a composite material that will just meet the design specification.

• Finding critical points of a function z=f(x,y)

  If D > 0 and zxx < 0 the point is a relative max 3. If D < 0, Saddle point 4. If D = 0 need higher order tests.

• Size of Sampling Plant

  plant) = Min ($42: $42) = $42 Next, we find the maximum among these minimum values: Max (Minimum number) = Max (-$20: $22: $42) = $42 Thus, the minimax decision is the small plant.

• Max and Min Absolute Values

  The clue is wrong and your calculation for is wrong. . To find absolute max or min of in a closed interval, we should find the values of at the two end points and all the relative max and min values of .

• Logic and Simplifying an Expression : Simplify min(a,b,c,d) + max(a,b,c,d)

  For example, assuming a and d are the min and max (the answer, however, should work for all variables), the expression should allow us to figure that out.