Sentence examples for middle boundary from inspiring English sources
The middle boundary curve of M k, τ T is located in a small neighborhood of Γ m.
Points in the middle boundary curve have a height which can be estimated by O ( τ k + 2 ).
Nearby the middle boundary the surface is the vertical graph of U m ( r, θ ) = H ˜ ρ τ, φ m ( τ r, θ ) + V m ( r, θ ), with ρ τ = τ.
The minimal surfaces described in Theorem 1.1 come in 1-parameter families, they have finite genus ≥1, they meet orthogonally the boundary of the ball only along the middle boundary curve.
We recall that we modified the immersion of M k, τ T in R 3 in order to have the normal vector n ˜ τ to M k, τ T equal to the normal vectors n c ( ± s τ, ⋅ ) in a neighborhood of its top and bottom boundary curves and equal to e 3 in a neighborhood of the middle boundary curve.
So three unit normal vectors to ∂ B 3 along the top (resp. bottom, middle) boundary curve of M ˜ k, τ T are obtained replacing r by r ˜ i and z by U ˜ i ( θ, r ˜ i ) in the formula giving ν ˜.
Linear mixed models included random effects of subjects and movies, and fixed effects of age group (younger adult, older adult), presentation condition (unedited, event middle, event boundary), and information type (midpoint, boundary).
These results are compared with studies in small mammals, pollen analysis and geomorphology, giving a scenario for the palaeoclimatic and palaeoenvironmental changes that occurred during the Early to Middle Pleistocene boundary in Atapuerca, and hence a scenario for the hominins that once lived in the Sierra de Atapuerca.
The GSSP defining the Lower-Middle Devonian boundary and base of the Eifelian Stage is at Schöenecken-Wetteldorf in the Eifel.
This rich fissure filling locality has yielded thousands of fossils and is currently dated to the early-middle Miocene boundary, around 17 million years ago (MN 4/5 in the MN zonation).
Extinctions at the Middle Permian Late Permian boundary were even more severe bordering on catastrophic with a reduction of 70 percent to 80 percent from the Middle Permian generic maxima.
