Meyer Shapiro : un crítico contradictorio

Towards the Generalized Shapiro and Shapiro Conjecture

We find a new, asymptotically better, bound g 6 1 4 d2 + O(d) on the genus of a curve that may violate the generalized total reality conjecture. The bound covers all known cases except g = 0 (the original conjecture).

Shapiro on Patent Settlements

Intellectual property rights are widely recognized as critical assets in many industries, especially “high-tech” industries. Companies like IBM, Intel, and Hewlett-Packard regard their patents and copyrights, along with their other intangible assets such as know-how, as central elements giving them competitive advantage. Likewise, many software companies, from Microsoft to software startups see...

Generalised Rudin-Shapiro Constructions

A Golay Complementary Sequence (CS) has Peak-to-Average-Power-Ratio (PAPR) ≤ 2.0 for its one-dimensional continuous Discrete Fourier Transform (DFT) spectrum. Davis and Jedwab showed that all known length 2m CS, (GDJ CS), originate from certain quadratic cosets of Reed-Muller (1,m). These can be generated using the Rudin-Shapiro construction. This paper shows that GDJ CS have PAPR ≤ 2.0 under a...

Un petit cercle, un grand exemple (دایره‌ای کوچک، سرمشقی بزرگ )

نام هانری کربن با دو دایره گره خورده است: دایرة ارانوس و دایرة تهران؛ دایره‌هایی که مطابق منظر کربن، می‌توان آنها را به‌درستی رمزی و مثالی خواند. این مقاله به دایرة تهران اختصاص دارد، دایره‌ای تحقیقی که با حضور اندیشمندانی چند، و با محوریت دو شخصیت از شرق و غرب، علامه سید محمد حسین طباطبایی و هانری کربن، شکل می‌گرفت. برغم همه مشکلات فنی و فیزیکی ارتباط کلامی، این دو مرد، به خوبی با یکدیگر «مقاب...

Generalized Rudin – Shapiro sequences