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Ectodermal patterning in the avian embryo: epidermis versus neural plate

Ectodermal patterning of the chick embryo begins in the uterus and continues during gastrulation, when cells with a neural fate become restricted to the neural plate around the primitive streak, and cells fated to become the epidermis to the periphery. The prospective epidermis at early stages is characterized by the expression of the homeobox gene DLX5, which remains an epidermal marker during ga

Explicit multipole formulas and thermal network models for calculating thermal resistances of double U-pipe borehole heat exchangers

Double U-pipe boreholes are the second most used type of ground heat exchangers after single U-pipe boreholes. The borehole thermal resistance is a key design and performance parameter for the double U-pipe boreholes. Another parameter that is particularly important for double U-pipe boreholes is the internal thermal resistance between the U-pipes. There is, however, a general lack of methods that

Asymptotics of Maximum Likelihood Parameter Estimates For Gaussian Processes: The Ornstein–Uhlenbeck Prior

This article studies the maximum likelihood estimates of magnitude and scale parameters for a Gaussian process of Ornstein-Uhlenbeck type used to model a deterministic function that does not have to be a realisation of an Ornstein- Uhlenbeck process. Specifically, we derive explicit expressions for the limiting values of the maximum likelihood estimates as the number of observations increases. The

Nonexistence of Subcritical Solitary Waves

We prove the nonexistence of two-dimensional solitary gravity water waves with subcritical wave speeds and an arbitrary distribution of vorticity. This is a longstanding open problem, and even in the irrotational case there are only partial results relying on sign conditions or smallness assumptions. As a corollary, we obtain a relatively complete classification of solitary waves: they must be sup

The artful early instruments of Peter Apianus : Ein kunstlich Instrument of 1524, its precursors and its successors

In 1524, Petrus Apianus published two closely related works—one the Latin Cosmographicus liber, aimed at an educated audience of international readers, and the other, Ein kunstlich Instrument, a shorter, more practical book for those who could read German but had no Latin. Both books nevertheless make use of most of the same instruments, including Apianus’ early volvelles. Most of these instrument

University students’ understandings of concept relations and preferred representations of continuity and differentiability

The aim of the study reported in this paper is to investigate how students understand continuity and differentiability during and after a calculus course. The students’ choices of representations, both claimed and acted, were also studied. The study is part of a larger study of four student groups taking a calculus course. 207 students answered a questionnaire during the course and of them, 11were