Randomized local-spin mutual exclusion
... Increment promotion token whenever releasing a node Perform deterministic promotion according to promotion index in addition to randomized promotion ...
... Increment promotion token whenever releasing a node Perform deterministic promotion according to promotion index in addition to randomized promotion ...
L10: k-Means Clustering
... For all x ∈ X, find φC (x) (closest center c ∈ C to x) For all i ∈ [j] let ci = average{x ∈ X | φC (x) = ci } until The set C is unchanged If the main loop has R rounds, then this take roughly Rnk steps (and can be made closer to Rn log k with faster nearest neighbor search in some cases). But what ...
... For all x ∈ X, find φC (x) (closest center c ∈ C to x) For all i ∈ [j] let ci = average{x ∈ X | φC (x) = ci } until The set C is unchanged If the main loop has R rounds, then this take roughly Rnk steps (and can be made closer to Rn log k with faster nearest neighbor search in some cases). But what ...
12. Polynomials over UFDs
... Proof: (of theorem) We can now combine the corollaries of Gauss’ lemma to prove the theorem. Given a polynomial f in R[x], let c = cont(f ), so from above cont(f /c) = 1. The hypothesis that R is a unique factorization domain allows us to factor u into irreducibles in R, and we showed just above tha ...
... Proof: (of theorem) We can now combine the corollaries of Gauss’ lemma to prove the theorem. Given a polynomial f in R[x], let c = cont(f ), so from above cont(f /c) = 1. The hypothesis that R is a unique factorization domain allows us to factor u into irreducibles in R, and we showed just above tha ...
Full text
... In this paper we relate part of the work in [8] and [9] to other well-known polynomials. Thus, only some basic features of {An(x)} will be examined. It should be noted in passing that the expression for {An(x)} in (1.3) is in agreement with the form for the nth term of more general sequences of poly ...
... In this paper we relate part of the work in [8] and [9] to other well-known polynomials. Thus, only some basic features of {An(x)} will be examined. It should be noted in passing that the expression for {An(x)} in (1.3) is in agreement with the form for the nth term of more general sequences of poly ...
