B. Redundant Test Locations Here, we provide a simple illustration to show that two locations t1 = (v1,w1) and t2 = (v2,w2) which are too close to each other will reduce the optimization objective. We consider the Sinusoid problem described in Section 3.1 with ω = 1, and use J = 2 test locations. In Figure 6, t1 is fixed at the red star, while t2 is varied along the horizontal line. The objecti...

The Gyárfás tree packing conjecture states that any set of n−1 trees T1, T2, . . . , Tn−1 such that Ti has n− i+ 1 vertices pack into Kn (for n large enough). We show that t = 1 10n 1/4 trees T1, T2, . . . , Tt such that Ti has n− i+ 1 vertices pack into Kn+1 (for n large enough). We also prove that any set of t = 1 10 n1/4 trees T1, T2, . . . , Tt such that no tree is a star and Ti has n− i+ 1...

Medullary hemorrhage is rare, and the causative role of hypertension still remains controversial. Cavernous angioma and other vascular malformations have been reported to cause medullary hemorrhage. A 53-year-old man was admitted to our hospital for vertigo. Medullary hemorrhage and multiple small hypointense lesions were detected on T2-star weighted magnetic resonance imaging (T2*W MRI). One a...

We combine Galaxy Evolution Explorer [(GALEX); ultraviolet (UV)] and Sloan Digital Sky Survey [(SDSS); optical] photometry to study the recent star formation histories of ∼100 field galaxies on the optical red sequence, a large fraction of which exhibit widespread signs of disturbed morphologies in deep optical imaging that are consistent with recent merging events. More than 70 per cent of bul...

Electrodes are surgically implanted into the subthalamic nucleus (STN) of Parkinson's disease patients to provide deep brain stimulation. For ensuring correct positioning, the anatomic location of the STN must be determined preoperatively. Magnetic resonance imaging has been used for pinpointing the location of the STN. To identify the optimal imaging sequence for identifying the STN, we compar...