Results 41 to 50 of about 54,181 (174)
Spanning trees of finite Sierpiński graphs [PDF]
We show that the number of spanning trees in the finite Sierpiński graph of level $n$ is given by $\sqrt[4]{\frac{3}{20}} (\frac{5}{3})^{-n/2} (\sqrt[4]{540})^{3^n}$.
Elmar Teufl, Stephan Wagner
doaj +1 more source
On the Mahler measure of hyperelliptic families
We prove Boyd’s “unexpected coincidence” of the Mahler measures for two families of two-variate polynomials defining curves of genus 2. We further equate the same measures to the Mahler measures of polynomials y³ − y + x³ − x + kxy whose zero loci define
Bertin, M., Zudilin, W.
core +1 more source
A priori bounds for the generalised parabolic Anderson model
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
Crystal structures of titanium–aluminium and –gallium complexes bearing two μ2-CH3 units
The isotypic crystal structures of two titanocene complexes containing an EMe3 unit (E = Al, Ga; Me = methyl) with two μ2-coordinating methyl groups, namely [μ-1(η5)-(adamantan-1-yl-2κC1)cycylopentadienyl]di-μ2-methyl-methyl-2κC-[1(η5 ...
Tim Oswald +4 more
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Two dialects for KZB equations: generating one-loop open-string integrals
Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in refs. [1–3].
Johannes Broedel +2 more
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Connecting Chemical Worlds – Context-based Learning Co-developed
Chemistry as well as chemistry education often raise two different perceptions among non-experts: Chemistry (education) provides spectacular phenomena, experiments and entertainment, but is also perceived as incorporating high levels of risk and many ...
Ilka Parchmann +5 more
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Why Is the Peak Group Analysis So Effective for IR Spectra Analysis?
ABSTRACT Peak group analysis (PGA), an MCR algorithm, has proven to be very successful in extracting pure component spectra and concentration profiles from IR and Raman spectral data when investigating carbonylation reactions with transition metal catalysts.
Klaus Neymeyr +4 more
wiley +1 more source
Shifts with decidable language and non-computable entropy [PDF]
Automata, Logic and ...
Peter Hertling, Christoph Spandl
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Mathematics education research on algebra over the last two decades: quo vadis?
Algebra is a crucial component of mathematics education as it introduces learners to the mathematical world of modeling relationships and handling abstract quantities.
Joaquin Marc Veith +6 more
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Konrad Zuse und die ETH Zürich: Zum 100. Geburtstag des Informatikpioniers Konrad Zuse (22. Juni 2010) [PDF]
Zusammenfassung: Der deutsche Bauingenieur Konrad Zuse (1910-1995) hat 1941 die Z3 vorgeführt, den ersten frei programmierbaren und in binärer Gleitpunktrechnung arbeitenden Rechner der Welt.
Bruderer, Herbert
core

