Hanoi graphs Hn p model the Tower of Hanoi game with p pegs and n discs. Sierpiński graphs Sn p arose in investigations of universal topological spaces and have meanwhile been studied extensively. It is proved that Sn p embeds as a spanning subgraph into Hn p if and only if p is odd or, trivially, if n = 1. MSC: 05C60

Direct observations of vortex structure only appear recently; in this essay we will examine these first observations. And then introduce experiments and theory about the dynamics of vortex core; meanwhile we will propose the principle of chirality conservation in vortex; and with this idea we present another explanation in Bussmann’s experimental results. Finally, reveal the high possible appli...

This work gathers new results concerning the semi-geostrophic equations: existence and stability of measure valued solutions, existence and uniqueness of solutions under certain continuity conditions for the density, convergence to the incompressible Euler equations. Meanwhile, a general technique to prove uniqueness of sufficiently smooth solutions to non-linearly coupled system is introduced,...

Pyridyl iodides were synthesized to serve as effective, economical, green and dual function additives for high efficiency and stable DSCs. Using commercial P25 as the photoanode, a high PCE of 7.81% was achieved with a pyridyl iodide-containing electrolyte. Meanwhile, DSCs based on our novel electrolytes demonstrated better stability.

I attack from both fronts: I bring ideas from differential geometry and finite-element analysis to model geometric problems more intuitively and more robustly. Meanwhile, I pursue user interfaces to reduce human effort and increase creative or scientific exploration of geometric data. To elaborate on these recurring themes, allow me to share four parallel and complementary branches of investiga...

According to our research, we evaluated that for the ovulation function in polycystic ovary syndrome (PCOS) with IR, Homeostasis model assessment-insulin resistance (HOMA-IR) is a clinic , simple and practical and sensitive Index for assessing the ovualtion failure. Meanwhile, after anti-IR treatment, HOMA-IR is also a reliable and simple for accessing the recoverying ovulation function.

Nations and people of the world are increasingly interconnected and mutually interdependent. Globally, most cities and countries are becoming more diverse internally, with citizens and residents of varying races, religions, ethnicities and national backgrounds. Meanwhile, greater the risk is associated with economic or political aloofness and social isolation. All of these social forces are fos...

Background Dobutamine stress cardiac magnetic resonance imaging (DCMR) was not an established test for coronary ischemia in 2003/2004. Meanwhile, long-term outcome has demonstrated a strong prognostic value of negative DCMR testing (Kelle et al. JACC CVI 2011). However, only limited data are as yet available about reimbursement for and costeffectiveness of DCMR in patients with stable coronary ...

The loss of truck fence reflects the indifference of corporate social responsibility (CSR); meanwhile, it shows the lack of governmental position in CSR construction. Because of the externality of CSR and the real requirement of Chinese social responsibility construction, the government should play a leading role, whose roles should be Regulator, supervisor and facilitator.

In this paper, by means of the q-Rice formula we obtain a general q-identity which is a unified generalization of three kinds of identities. Some known results are special cases of ours. Meanwhile, some identities on q-generalized harmonic numbers are also derived.