It is shown that for any expansive, integer valued 2×2 matrix, there exists a (multi-)wavelet whose Fourier transform is compactly supported and smooth. A key step is showing that for almost every equivalence class of integrally similar matrices there is a representative A which is strictly expansive in the sense that there is a compact set K which tiles the plane by integer translations and su...

To cite: Maria AT, Firme R, Magro P, et al. BMJ Case Rep Published online: [please include Day Month Year] doi:10.1136/bcr-2015214282 DESCRIPTION A 2-year-old boy with unremarkable medical history presented to the emergency room due to sudden onset of left hip pain and limping gait, without fever or trauma. On observation, he had no signs of inflammation and no limitation of joint mobilisation....

At CRYPTO 2016, Cogliati and Seurin introduced the Encrypted Davies-Meyer construction, p2(p1(x) ⊕ x) for two n-bit permutations p1, p2, and proved security up to 2 . We present an improved security analysis up to 2/(67n). Additionally, we introduce the dual of the Encrypted Davies-Meyer construction, p2(p1(x)) ⊕ p1(x), and prove even tighter security for this construction: 2/67. We finally dem...

Grete Hermann proved in H] that for any ideal I in an n-dimensional polynomial ring over the eld of rational numbers, if I is generated by polynomials f 1 ; : : : ; f k of degree at most d, then it is possible to write f = P r i f i such that each r i has degree at most deg f + (kd) (2 n). Mayr and Meyer in MM] found (generators) of ideals for which a doubly exponential bound in n is indeed ach...

Yves Francois Meyer was born July 19th, 1939 in Paris, but he grew up in Tunisia. After his studies at the École Normale Supérieure he was a teacher for three years at the school Prytanée Militaire in La Flèche (Loire Valley) and obtained a position in Strasbourg afterwards. During this period he prepared his PhD which he presented in 1966. Formally Jean-Pierre Kahane was his advisor, but he co...

Non-standard number representation has proved to be useful in the speed-up of some algorithms, and in the modelization of solids called quasicrystals. Using tools from automata theory we study the set Zβ of β-integers, that is, the set of real numbers which have a zero fractional part when expanded in a real base β, for a given β > 1. In particular, when β is a Pisot number — like the golden me...

In this paper we carried out a diachronic analysis (1840-2009) of a corpus of 180 medical case report titles drawn from the British Medical Journal. We analyzed a series of quantitative variables (number of authors and their institutional affiliation, title length, and punctuation/ grammatical data) and qualitative variables (authors’ collaboration and types of titles). The results of our resea...

Theodor Meyer’s 1908 doctoral dissertation, with Ludwig Prandtl (1875–1953) as his advisor, introduced much of what has now become basic gas dynamics: not only the Prandtl–Meyer expansion but also the oblique-shock-wave theory as well. It is arguably the most influential dissertation in all of fluid dynamics. Yet no biography or even a photograph of Meyer has been available in the intervening c...

For many many thousand years, mankind has been using various plants as nutrient, beverage, cosmetics, dye and medicine to maintain health and to improve quality of life. In Aisa, particularly, Panax ginseng C.A. Meyer is considered to be the most precious plant among herbs, and ginseng has been in the spotlight worldwide. Even in the Western world, where there are greatly advanced research faci...