The stick index of a knot is the least number of line segments required to build the knot in space. We define two analogous 2-dimensional invariants, the planar stick index and the spherical stick index. We find bounds on these quantities in terms of other knot invariants, and give planar stick and spherical stick constructions for torus knots and for compositions of trefoils.

In the last decade, dramatic changes in lacrosse stick design are believed to be associated with changes in the play of the game; however, there is a limited understanding of how the lacrosse stick propels the ball. We predicted that the lacrosse stick would perform as a passive extension of the player's hand and hypothesized that ball shot speed would be equal to the speed at the tip of the st...

in order to investigate the effects of  management models on the diversity of wooden species, forests of third series of shiler, the first division mehrbanrud watershed and third and fourth series of eight division of behshahr – neka townships were studied with participatory and governmental management respectively. the diversity of the wooden species have been evaluated by diversity parametric...

Granular packings exhibit significant changes in rheological and structural properties when the rotational symmetry of spherical or circular particles is broken. Here, we report on experiments exploring differences dynamics a grain-scale intruder driven through packing either disks pentagons, where presence edges vertices grains introduces possibility constraints at edge-edge contacts. We obser...

background : accidental needle-stick injuries (nsis) are a hazard for health-care workers and general public health. nursing workers are at high risk for occupational exposure to blood-borne pathogens (such as hbv, hcv and hiv) via sharp injuries of needle stick. methods : this descriptive analytical cross-sectional study was done on 158 nursing workers of khanevadeh hospital in tehran to study...

In this paper we prove several new parity results for broken k-diamond partitions introduced in 2007 by Andrews and Paule. In the process, we also prove numerous congruence properties for (2k+1)-core partitions. The proof technique involves a general lemma on congruences which is based on modular forms.

This paper highlights the contribution of TerraSAR-X (TSX) High Resolution (HR) images for temperate glacier monitoring. A series of 14 images have been acquired since October 2007 on the Mont-Blanc test area. This area involves well-known temperate glaciers which have been monitored and instrumented ("stick" for annual displacement/ablation, GPS, cavitometer for basal displacement...) for more...

We investigated the acquisition of skill in balancing a stick (52 cm, 34 g) on the fingertip in nine participants using three-dimensional motion analysis. After 3.5 h of practice over 6 wk, the participants could more consistently balance the stick for longer durations with greatly reduced magnitude and speed of stick and finger movements. Irrespective of level of skill, the balanced stick beha...

background and aims: needle stick injuries are a common and serious occupational hazard in the medical settings. so, this study was aimed to assess the incidence of needle stick injury among medical students at tabriz imam reza hospital in 2014. methods: this is a cross-sectional study which its data was collected from 211 medical students in tabriz imam reza hospital. the study was done using ...