Recent content by esis
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MHB 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...- esis
- Post #7
- Forum: Linear and Abstract Algebra
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MHB 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?- esis
- Post #5
- Forum: Linear and Abstract Algebra
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MHB 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 +...- esis
- Post #4
- Forum: Linear and Abstract Algebra
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MHB 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...- esis
- Thread
- Combination Difference Lines Vectors
- Replies: 7
- Forum: Linear and Abstract Algebra
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MHB Algorithm for finding all the borders of R in all dimensions?
Thanks! I was wondering about that. :)- esis
- Post #5
- Forum: Linear and Abstract Algebra
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MHB 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)) =...- esis
- Post #3
- Forum: Linear and Abstract Algebra
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MHB 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...- esis
- Thread
- Algorithm Dimensions
- Replies: 4
- Forum: Linear and Abstract Algebra
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MHB Solving Variables Puzzle: Correlation Coefficients & SPSS for N=850
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...- esis
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics