Weak vs Strong Dependency - Mathematics Stack Exchange In probability, weak dependence of random variables is a generalization of independence that is weaker than the concept of a martingale A (time) sequence of random variables is weakly dependent if distinct portions of the sequence have a covariance that asymptotically decreases to 0 as the blocks are further separated in time
What exactly does linear dependence and linear independence imply . . . Mathematical Definition of Linear Dependence Let S be the set of vectors S = {V1, V2, V3,… ,Vn} The set S is linearly dependent if and only if CV1+ C2V2 + C3V3 +… + CnVn=zero vector for some all Ci’s at least one is non zero The condition of checking linear dependence if c1 or c2 is non zero then the two vectors are linearly dependent
Is there a symbol for dependent? - Mathematics Stack Exchange This is an accurate example of a text using a symbol for dependence, exactly what the questioner wanted! Came here because I'm reading it and looking for the latex $\endgroup$ – Joseph Garvin
Linear Dependence Lemma - Mathematics Stack Exchange This is out of my textbook, Axler's "Linear Algebra Done Right" which I am self-studying from (I organized my thoughts in which I would like some sort of response with Roman Numerals) Linear
affine geometry - What does it mean to be affinely independent, and . . . Here's the main ideas relating linear and affine (in)dependence: Let $\mathbf p_i\in\mathbb{R}^d$ be points in a real space Reminder of linear (in)dependence As a brief reminder about linear (in)dependence: the points are linearly dependent iff there's not-all-zero coefficients $\alpha_i$ such that $\sum_i \alpha_i \mathbf p_i=0$
Dependencies between A and B in $(A\\Rightarrow B),$ and in $(A . . . Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
Finding Linear Dependence Relation - Mathematics Stack Exchange Find a linear dependence relation between the following vectors: x1 = (1, -1, 2) x2 = (-3, 2, 1) x3= (1, 2, -3) x4= (2, 3, 1) I've already created a matrix and reduced and I know how to tell whether it is linearly independent or not, but I don't understand how to find an actual relation Thanks