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Women who have a high-risk of preterm labor would benefit from a device that continuously-monitors their cervical dilation. The proposed methodology for such a device consists of an internal device that measures the woman's cervical dilation and wirelessly transmits these measurements to an external device as well as her physician. When critical dilation is detected, the woman will be prompted to...
We consider the convolution or Hadamard product of planar harmonic mappings that are the vertical shears of the canonical half-plane mapping φ(z)=z/(1-z) with respective dilatations -xz and -yz, where |x|=|y|=1. We prove that any such convolution is univalent. Furthermore, in the case that x=y=-1, we show the resulting convolution is convex.
SWAN, the all-sky hydrogen Lyman-alpha camera on the SOHO spacecraft, designed primarily to image the interplanetary neutral hydrogen around the Sun, also observes comets continuously over large portions of their apparitions to the north and south of the ecliptic and at small solar elongation angles. Because of SOHO’s location at the L1 Lagrange point, analysis of SWAN images provides excellent temporal...
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