Given a semialgebraic description of an object in real 3-space, we compute a semialgebraic description of the rounded or blended object using circular constant radius rounding and blending. Our approach uses a real elimination method that can handle polynomial inequalities both in the input and in the output. We discuss the general properties of constant radius rounding of objects from inside a...

The sensitivity of the reflection of shortwave radiation over the Southern Ocean to the cloud properties there is estimated using observations from a suite of passive and active satellite instruments in combination with radiative transfer modeling. A composite cloud property observational data description is constructed that consistently incorporates mean cloud liquid water content, ice water c...

Single-particle tracking was used to measure the diffusion in aqueous suspension of dilute colloidal clusters, 2-9 mum in size, fabricated by joining 1.57 mum spheres into planar arrangements of various particle numbers and symmetries (doublet, trimer, square, pentamer, hexamer, and so forth). They were allowed to sediment close to a glass surface and their Brownian motion parallel to the surfa...

We develop a semi-analytic model for planet formation during the pre-main sequence contraction phase of a low mass star. During this evolution, the stellar magnetosphere maintains a fixed ratio between the inner disk radius and the stellar radius. As the star contracts at constant effective temperature, the ‘snow line’, which separates regions of rocky planet formation from regions of icy plane...

Mechanical ruled diffraction grating is a kind of super-fine technology. During the process, the material distortion happens along with the geometry nonlinearity and material nonlinearity. In this paper, start from the dynamic assembly , measure the mechanical property by nano-indenter and scratching test , establish the finite element simulation model based on Deform software, analyze the main...

Conventional non-Abelian SO(4) gauge theory is able to describe gravity provided the gauge field possesses a specific polarized vacuum state. In this vacuum the instantons and antiinstantons have a preferred direction of orientation. Their orientation plays the role of the order parameter for the polarized phase of the gauge field. The interaction of a weak and smooth gauge field with the polar...