one of the most practical routine tests for convergence of a positive series makes use of the ratio test. if this test fails, we can use rabbe's test. when rabbe's test fails the next sharper criteria which may sometimes be used is the bertrand's test. if this test fails, we can use a generalization of bertrand's test and such tests can be continued innitely. for simplicity...

We consider computing optimal k-norm preemptive schedules of jobs that arrive over time. In particular, we show that computing the optimal k-norm of flow schedule, 1 | rj , pmtn | ∑ j(Cj − rj) k in standard 3-field scheduling notation, is strongly NP-hard for k ∈ (0, 1) and integers k ∈ (1,∞). Further we show that computing the optimal k-norm of stretch schedule, 1 | rj , pmtn | ∑ j((Cj − rj)/p...

INTRODUCTION Modified, reversal technique of fixation in digital replantation using K-wires was analyzed. The results obtained from the standard technique and reversal technique of fixation using K-wires were compared. OBJECTIVE The aim was to compare the results of osteofixation using K-wires in digital replantation when either standard or reversal, modified technique was used. METHODS A r...

Segmentation refers to the process of partitioning a digital image into multiple segments known as super-pixels. Image segmentation is typically used to locate objects and boundaries in images. SOM-K, a new unsupervised natural image segmentation method based on SOM and k-means. Intensity and L*, U*, V* values of a color image are taken as features to be trained by a SOM network. The output pro...

We propose k-means, a new clustering method which efficiently copes with large numbers of clusters and achieves low energy solutions. k-means builds upon the standard k-means (Lloyd’s algorithm) and combines a new strategy to accelerate the convergence with a new low time complexity divisive initialization. The accelerated convergence is achieved through only looking at kn nearest clusters and ...

Using improved theoretical calculations of the decay form factors in the Light Cone-QCD sum rule approach, we investigate the decay rates, dilepton invariant mass spectra and the forward-backward (FB) asymmetry in the decays B → (K, K *)ℓ + ℓ − (ℓ ± = e ± , µ ± , τ ±) in the standard model (SM) and a number of popular variants of the supersymmetric (SUSY) models. Theoretical precision on the di...