Let k g be the class of k connected cubic graphs of girth at least g For several choices of k and g we determine a set Ok g of graph operations for which if G and H are graphs in k g G H and G contains H topologically then some operation in Ok g can be applied to G to result in a smaller graph G in k g such that on one hand G is contained in G topologically and on the other hand G contains H to...

The “weak” BSD conjecture predicts that for an elliptic curve E over a number field K, we have rankE(K) = ords=1 L(E/K, s). The miracle of this formula is that it relates two quantities with very different origins: the left hand side is an algebraic object while the right hand side is an analytic object. Furthermore, the algebraic rank is “global” in nature, while the analytic rank can be defin...

Kirschner wires (K-wires) are widely used for fixation of fractures and dislocations in the hand as they are readily available, reliable, and cost-effective. Complication rates of up to 18% have been reported. However, K-wire breakage during removal is rare. We present one such case illustrating a simple technique for retrieval. A 35-year-old male presented with a distal phalanx fracture of his...

OBJECTIVES Today many clinicians use both stainless-steel hand K-files and nickel- titanium rotary files during endodontic treatment. It is of great importance for the clinician to have confidence in the accuracy of an apex locator even if these files were used interchangeably. The purpose of this in vitro study was to evaluate the accuracy of the Raypex5 electronic apex locator using stainless...

The Gradient and Spin Echo (GRASE) pulse sequences has been used primarily for T2 weighted imaging, with the spin echoes of the CPMG sequence utilized for the center of k-space. While to date, T2 contrast has been a fundamental feature of GRASE, it is possible to obtain T2* and BOLD signal contrast mechanisms in GRASE by shifting the central region of k-space from spin echoes to gradient echoes...

introduction: the most important aims of root canal preparation are the removal of vital pulp tissue, remaining necrotic debris and infected dentin, eliminating the bulk of bacteria present in the root canal system. the aim of this study was to compare the cleaning efficacy of hand k-flexofiles and rotary race and k3 instruments in root canal preparation. materials and methods: a total of 60 si...

OBJECTIVES Vitamin K has bone and cartilage effects, and previously shown to be associated with radiographic osteoarthritis. We evaluated vitamin K's effect on hand osteoarthritis in a randomised controlled trial. METHODS This was an ancillary study to a randomised controlled trial assessing the effects of phylloquinone supplementation (vitamin K arm) versus placebo on bone loss and vascular ...

A case of multiple carpometacarpal joints volar dislocation in a young man of 25 years of age is reported. He presented with pain and deformity of his left hand immediately after road traffic accident. He was unable to move his left hand. X-rays of the affected hand showed volar dislocation of all four medial carpometacarpal joints. Dislocated joints were reduced, fixed with K-wires and immobil...