BME332quiz_+1_Solutions.pdf - BME 332 Quiz 1 Index Notation...

This preview shows 1 out of 2 pages.

BME 332 Quiz 1, Index Notation Jan. 24, 2013 1. Consider the following second order derivative 2 ij kl W E E What is the tensorial order of this entity and many components does it have in 3D? Note that indicates a partial derivative. a. 4 th order tensor, 4 components b. 4 th order tensor, 16 components c. 4 th order tensor, 81 components d. 2 nd order tensor, 9 components Answer is C. There are four unique indices, so it is a 4 th order tensor 3 4 is 81. 2. The result of the following multiplication, im mj kj F S F is an entity B with the following indices: Answer is A. The unique indices are i and k, so these are transferred to the left hand side 3. If you wanted to write the equivalent matrix form for, im mj kj F S F which of the following would be correct (where the superscript T denotes transpose of the matrix): a.   F S F b.  T F S F c.
Image of page 1

Subscribe to view the full document.

Image of page 2
You've reached the end of this preview.
  • Winter '08
  • sh, ed d

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern