Radio Planetary Nebulae in the Small Magellanic Cloud

We present ten new radio continuum (RC) detections at catalogued planetary nebula (PN) positions in the Small Magellanic Cloud (SMC): SMPS6, LIN 41, LIN 142, SMP S13, SMP S14, SMP S16, J18, SMP S18, SMP S19 and SMP S22. Additionally, six SMC radio PNe previously detected, LIN 45, SMP S11, SMPS17, LIN321, LIN339 and SMPS24 are also investigated (re-observed) here making up a population of 16 radio detections of catalogued PNe in the SMC. These 16 radio detections represent ~15 % of the total catalogued PN population in the SMC. We show that six of these objects have characteristics that suggest that they are PN mimics: LIN 41, LIN 45, SMP S11, LIN 142, LIN 321 and LIN 339. We also present our results for the surface brightness - PN radius relation ({\Sigma}-D) of the SMC radio PN population. These are consistent with previous SMC and LMC PN measurements of the ({\Sigma}-D) relation.Comment: Accepted for publication in Astrophysics and Space Scienc

Generalized Supersymmetries and Composite Structure in M-Theory

We describe generalized D=11 Poincar\'{e} and conformal supersymmetries. The corresponding generalization of twistor and supertwistor framework is outlined with $OSp(1|64)$ superspinors describing BPS preons. The $\frac{k}{32}$ BPS states as composed out of $n=32 - k$ preons are introduced, and basic ideas concerning BPS preon dynamics is presented. The lecture is based on results obtained by J.A. de Azcarraga, I. Bandos, J.M. Izquierdo and the author$^1$.Comment: LaTeX, 7pages. Talk presented at the XVI-th Max Born Symposium ,,Supersymmetries and Quantum Symmetries `01" (21-25.09.2001, Karpacz, Poland) and International Nankai Symposium (8-11.10.2001, Tianjin, China). To be published in the Proceedings of Nankai Symposium, Ed. Ge Mo-Lin and J. Park, Int. J. Mod. Phys.

Algoritma golden section bootstrap dalam regersi non parametrik

ABSTRAK Bentuk taksiran kurva regresi nonparametrik ditentukan oleh parameter penghalus h yang lebih dikenal dengan nama bandwidth. Untuk mengetahui taksiran kurva regresi, dengan hubungan regresinya adalah Yi = m(X ) -1- - i = 1, 2, n digunakan metode bootstrap yaitu suatu resampling dari sekumpulan data pengamatan dengan pengembalian dengan massa peluangnya adalah lin untuk setiap titik data. Salah sate metode ini adalah Golden Section Bootstrap. Di sini digunakan penaksir Nadaraya-Watson yang diharapkan akan menghasilkan taksiran kurva regresi nonparametrik yang lebih halus dibanding taksiran kurva regresi dari data aslinya