no writes to that memory can occur without entering the same lock. In a properly designed program, associated with every lock is a region of memory for which it provides mutual exclusion. Unfortunately, there is no obvious artifact of the code that makes this association clear...
replicating data. This might seem like a reasonable approach, but as you start using Entity Resolution more broadly across your enterprise, replication quickly becomes unmanageable. Plus, when you add the matrix of data source permissions to the mix, a “multiple instances” approach quickly becomes...
Every matrix has a “rank,” which is the number of linearly independent columns it has. If a column is linearly independent, it means that it can’t be represented as a combination of other columns in the matrix. On the other hand, a dependent column is one that can be represented as...
What makes a problem 'hard'? A problem is considered 'hard' if it requires a lot of effort to solve, due to complexity, high requirements for skill or knowledge, or physical difficulty. 7 Is degeneration reversible? Depending on the context, some forms of degeneration, especially physical or...
instance, in computer science, a 2D tensor is a matrix (it's a tensor of rank 2). In linear algebra, a tensor with 2 dimensions means it only stores two values. The rank also has a completely different definition: it is the maximum number of its linearly independent column (or row) ...
(linear algebra) The maximal number of linearly independent columns (or rows) of a matrix. Rank (algebra) The maximum quantity of D-linearly independent elements of a module (over an integral domain D). Rank (mathematics) The size of any basis of a given matroid. Rank To place abreast, ...
Being a complete intersection, this occurs when the Jacobian matrix of the map has less than full rank, or equivalently that the gradient vectors for are linearly dependent, where the is in the coordinate position associated to . One way in which this can occur is if one of the gradient ...
We have now found a test for determining whether a given set of vectors is linearly independent:A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant. The set is of course dependent if the determinant is zero. ...
Notice how the matrix above is just he matrix of coefficients of the system of linear equations. We can assumpt that the vetor equation can be represented by a form. The form is called matrix eqution. 3.2 The condition of linearly dependent ...
(Actually, it turns out that one can essentially write all definable sets as an intersection of sets of this form; see this previous blog post for more discussion.) To regularise the set , it is convenient to square the adjacency matrix, which soon leads to the study of counting functions...