We analyze the micromagnetics of short longitudinal modulations a high-magnetization material in cylindrical nanowires made soft-magnetic lower magnetization such as permalloy, combining magnetic microscopy, analytical modeling, and micromagnetic simulations. The mismatch induces curling around axis modulations, an attempt to screen interfacial charges. angle increases with modulation length, u...

This study investigated the effects of high-intensity interval training (HIIT) vs. work-matched moderate-intensity continuous exercise (MOD) on metabolism and counterregulatory stress hormones. In a randomized and counterbalanced order, 10 well-trained male cyclists and triathletes completed a HIIT session [81.6 ± 3.7% maximum oxygen consumption (V̇o2 max); 72.0 ± 3.2% peak power output; 792 ± 9...

Let $A$ be a right coherent ring and $\mathcal{X}$ contravariantly finite subcategory of ${\rm{mod}}\mbox{-}A$ containing projectives. In this paper, we construct recollement abelian categories $({\rm{mod}}_{0}\mbox{-}\mathcal{X}, {\rm{mod}}\mbox{-}\mathcal{X}, {\rm{mod}}\mbox{-}A)$, where ${\rm{mod}}_{0}\mbox{-}\mathcal{X}$ is full ${\rm{mod}}\mbox{-}\mathcal{X}$ consisting all functors vanish...

Example 1.1. Let m = 7. The following table shows that the first time a nonzero number mod 7 has a power congruent to 1 varies. While Fermat’s little theorem tells us that a6 ≡ 1 mod 7 for a 6≡ 0 mod 7, we see in the table that the exponent 6 can be replaced by a smaller positive exponent for 1, 2, 4, and 6. k 1 2 3 4 5 6 1k mod 7 1 2k mod 7 2 4 1 3k mod 7 3 2 6 4 5 1 4k mod 7 4 2 1 5k mod 7 5 ...

The Fibonacci sequence F = 0, 1, 1, 2, 3, 5, 8, . . . has intrigued mathematicians for centuries, as it seems there is no end to its many surprising properties. Of particular interest to us are its properties when reduced under a modulus. It is well known, for example, that F (mod m) is periodic, that the zeros are equally spaced, and that each period of F (mod m) contains exactly 1, 2, or 4 ze...

Purpose. To study whether a corneal thickness segmentation model, consisting in a central circular zone of 1 mm radius centered at the corneal apex (zone I) and five concentric rings of 1 mm width (moving outwards: zones II to VI), could boost the diagnostic accuracy of Heidelberg Retina Tomograph's (HRT's) MRA and GPS. Material and Methods. Cross-sectional study. 121 healthy volunteers and 125...