Let A be an n n Hermitian matrix and let x be a vector in Cn. Show that if c = xHAx

Classical Mechanics 0
Consider the rapid steady precession of a symmetric top predicted in connection with (10.112). (a) Show that in this motion the angular momentum L must be very close to the verti-cal. [Hint: Use (10.100) to write down the horizontal component Lhor of L. Show that if is given by the right side of (10.

Probability and Statistics for Engineering and the Sciences 9
Problem 12E The accompanying summary data on CeO2 particle sizes (nm) under certain experimental conditions was read from a graph in the article "NanoceriaEnergetics of Surfaces, Interfaces and Water Adsorption" (J. of the Amer. Ceramic Soc., 2011: 3992-3999): a. What proportion of the observat

Biology: The Dynamics of Life 1
Make a list of the characteristics that archaebacteria and eubacteria share. Then make a list of their differences.

Campbell Biology 10
Emerging viruses arise by a. mutation of existing viruses. b. the spread of existing viruses to new host species. c. the spread of existing viruses more widely within their host species. d. all of the above.

Principles of Economics 6
Give three examples of important trade-offs that you face in your life.

Urban Economics 8
Performance City Consider a region where households produce and consume musical performances, either live performances or free recorded performances transmitted over the Internet into homes. After accounting for price, the utility from a live performance is three times the utility from recorded music

Introductory Chemistry: A Foundation 9
Give an example of a synthesis reaction and of a decomposition reaction. Are synthesis and decomposition reactions always also oxidationreduction reactions? Explain.

Biochemistry 9
In 1828, Whler was the first person to synthesize an organic compound (urea, from ammonium cyanate). How did this contribute, ultimately, to biochemistry?