منابع مشابه
An off-axis, wide-field, diffraction-limited, reflective Schmidt Telescope
Off-axis telescopes with unobstructed pupils offer great advantages in terms of emissivity, throughput, and diffractionlimited energy concentration. For most telescope designs, implementation of an off-axis configuration imposes enormous penalties in terms of cost, optical difficulty and performance, and for this reason off-axis telescopes are rarely constructed. However, for the reflective Sch...
متن کاملGaussian Mersenne and Eisenstein Mersenne primes
The Biquadratic Reciprocity Law is used to produce a deterministic primality test for Gaussian Mersenne norms which is analogous to the Lucas–Lehmer test for Mersenne numbers. It is shown that the proposed test could not have been obtained from the Quadratic Reciprocity Law and Proth’s Theorem. Other properties of Gaussian Mersenne norms that contribute to the search for large primes are given....
متن کاملGeneralised Mersenne Numbers Revisited
Generalised Mersenne Numbers (GMNs) were defined by Solinas in 1999 and feature in the NIST (FIPS 186-2) and SECG standards for use in elliptic curve cryptography. Their form is such that modular reduction is extremely efficient, thus making them an attractive choice for modular multiplication implementation. However, the issue of residue multiplication efficiency seems to have been overlooked....
متن کاملMersenne and Fermat Numbers
The first seventeen even perfect numbers are therefore obtained by substituting these values of ra in the expression 2n_1(2n —1). The first twelve of the Mersenne primes have been known since 1914; the twelfth, 2127 —1, was indeed found by Lucas as early as 1876, and for the next seventy-five years was the largest known prime. More details on the history of the Mersenne numbers may be found in ...
متن کاملDesign Optimization Model for a Schmidt-Cassegrain Telescope ME 590 Final Report
The goal of this project is to create a medium-sized multidisciplinary design optimization model that displays strong interactions in-between design variables. This model will be inputted into an automated coordination composition method that will show the tradeoffs of decomposing the problem in different arrangements. A telescope product is used for the model. The telescope model chosen for th...
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ژورنال
عنوان ژورنال: International Astronomical Union Colloquium
سال: 1984
ISSN: 0252-9211
DOI: 10.1017/s025292110010853x