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Artificial intelligence-powered signal analysis of loop-mediated isothermal amplification (LAMP) for the screening of Kaposi sarcoma at the point of care.

Sens Diagn
Hull D, Boza J, Manning J, Chu X, Cesarman E, Semeere A, Martin J, Erickson D.   +7 more
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On places of algebraic function fields.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1984
Let \(F\) be an algebraic function field in \(n\) variables over a field \(k\) of characteristic 0. Let \(Q\) be a place of \(F\), trivial on \(k\), with residue field \(FQ\) and value group \(v_Q(F)\). It is shown that that \(Q\) can be approximated by places \(P\) of \(F/k\) which have certain prescribed properties. For example, it is shown that, if \
Kuhlmann, F.-V., Prestel, A.
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Simple Algebras Over Rational Function Fields

Canadian Journal of Mathematics, 1979
The well-known Hasse-Brauer-Noether theorem states that a simple algebra with center a number field k splits over k (i.e., is a full matrix algebra) if and only if it splits over the completion of k at every rank one valuation of k. It is natural to ask whether this principle can be extended to a broader class of fields.
Nyman, T., Whaples, G.
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Kodaira Dimension of Algebraic Function Fields

American Journal of Mathematics, 1987
Es sei K ein algebraischer Funktionenkörper vom Transzendenzgrad d über einem beliebigen Konstantenkörper k. Besitzt K/k ein glattes eigentliches Modell X, so ist die Kodairadimension \(\kappa\) (X) von X unabhängig vom Modell, also durch K/k eindeutig bestimmt. Genauer gilt: Bezeichnet \(\omega_ X=\bigwedge^ d\Omega^ 1_{X/k}\) die kanonische Garbe auf
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ALGEBRAIC CURVES OVER FUNCTION FIELDS. I

Mathematics of the USSR-Izvestiya, 1968
This paper studies the diophantine geometry of curves of genus greater than unity defined over a one-dimensional function field.
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On Rationality of Algebraic Function Fields

Canadian Mathematical Bulletin, 1969
Let A be an algebraic function field with a constant field k which is an algebraic number field. For each prime p of k, we consider a local completion kp and set Ap = Ak ꕕ kp. Then we have the question:Is it true that A/k is a rational function field (i.e., A is a purely transcendental extension of k) if Ap/kp is so for every p ?
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Algebraic Function Fields and Global Function Fields

2002
So far we have been working with the polynomial ring A inside the rational function field k = F(T). In this section we extend our considerations to more general function fields of transcendence degree one over a general constant field. This process is somewhat like passing from elementary number theory to algebraic number theory.
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Algebraic function fields, algebraic curves and Goppa codes

2017
This thesis gives an introduction into the theory of algebraic function fields and algebraic curves with an application to Goppa codes. The first two chapters focus on function fields in a purely algebraic setting and have the Riemann-Roch Theorem as their main result. Algebraic curves are approached from the perspective of function fields.
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-Adic Dirichlet characters of algebraic function fields

Journal of Soviet Mathematics, 1979
A theory of precyclic P-extensions is developed which contains the well-known Witt theory. This theory makes it possible to describe so-called P-adic Dirichlet characters of function fields. In particular, for a trigonometric sum of the form where P is a prime number and f is a polynomial, its expression in terms of the zeros of a certain L function
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Algebraic Function Fields of One Variable

1986
Like Chapter 1 this chapter is primarily a survey. We give more than references for only occasional less well known results.
Michael D. Fried, Moshe Jarden
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