Recent content by esis

  1. esis

    Difference Between Lines and Vectors (Linear Combination Problem)

    Fascinating! This really opens up a new way of thinking for me. With my background in Sociology, I am usually more inclined to think of theoretical concepts in relation to concrete empirical observations in a continuous hermeneutic process of theorizing, observation. I think that's why social...
  2. esis

    Difference Between Lines and Vectors (Linear Combination Problem)

    Oh and Deveno. I tried your example and got the following results for u = (1, 2) and w = (4, 2): So am I correct in realizing that the line when c is positive is valid only for c >= 0? And vice versa for negative values of c? Are they the each other's... inverse?
  3. esis

    Difference Between Lines and Vectors (Linear Combination Problem)

    Aha ok! I apologize, I'll try to be more clear. I'm a bit new to writing about math... By c and d, I meant scalars of vectors v and w: I did'nt realize that the full explanation in the solution set of the line was: "All vectors cv + dw are on the line passing through (0,0) and u = 1/2v +...
  4. esis

    Difference Between Lines and Vectors (Linear Combination Problem)

    Hello Everyone! I am working my way through Gilbert Strang's book on linear algebra. I came across a set of solutions to the problems whose solutions are not listed in the book http://www.scribd.com/doc/86849289/1/Problem-Set-1-1-page-8. However, as I was working on the following question: I...
  5. esis

    Algorithm for finding all the borders of R in all dimensions?

    Thanks! I was wondering about that. :)
  6. esis

    Algorithm for finding all the borders of R in all dimensions?

    Thanks Deveno! Ok, so since I had P, R and Q to start with, I should get two more parallelograms by adding two points a and b to P and R, and c and d to P and Q PRab a = R - RS = (1, 3) - (3, 1) = (-2, 2) b = P - RS = (1, 1) - (3, 1) = (-2, 0) PQdc c = P - PR = (1, 1) - ((1, 3) - (1, 1)) =...
  7. esis

    Algorithm for finding all the borders of R in all dimensions?

    Hey Guys! To begin with, I apologize if I am using the wrong terminology. I've just begun learning about linear algebra. So I was working on a problem in the book "Introduction to Linear Algebra" by Gilbert Strang, fourth edition (problems 9 and 11 on p. 8). Problem 9: If three corners of a...
  8. esis

    Which correlation coefficient for categorical and ordinal variables in SPSS?

    Also, try doing it in Excel! That way, you'll really get an intuitive feel for how Spearman's correlation coefficient works. Calculating Spearman's r From Scratch Step 1: Create Your Table Create columns for the IDs, variables, ranks, d, and d^2 (see table 1 below). Step 2: Sort According to...