Team matches for two-person games / sports, e.g. chess are considered. In a competition between two teams A and B each player of team A has to play against exactly one player of team B. To arrange this assignment each team chooses a line-up. For the line-up the playing strength is the most common criterion. The best player of A should be the rst and so on. Assuming that team A has lined up its ...

Faugère's F5 algorithm computes a Gröbner basis incrementally, by computing a sequence of (non-reduced) Gröbner bases. The authors describe a variant of F5, called F5C, that replaces each intermediate Gröbner basis with its reduced Gröbner basis. As a result, F5C considers fewer polynomials and performs substantially fewer polynomial reductions, so that it terminates more quickly. We also provi...

صفحه‌­ی مینیاتوری LEU پرتودهی شده در رآکتور تحقیقاتی تهران که برای تولید رادیوایزوتوپ مولیبدن-99 استفاده می‌شود، منبع پرتوزایی متشکل از رادیوایزوتوپ‌های مختلف است. محاسبه و تخمین آهنگ دز تابش‌های گامای گسیلی این منبع، به منظور مقایسه با مقادیر مجاز توصیه حمل‌ونقل مواد پرتوزا حفاظت پرتویی کارکنان حین انجام تست‌های آزمایشگاهی داغ، پیش هر اقدام عملی، امری ضروری مقاله، اعتبار یک روش پیشنهادی جهت هد...

MutantXL is an algorithm for solving systems of polynomial equations that was proposed at SCC 2008 and improved in PQC 2008. This article gives an overview over the MutantXL algorithm. It also presents experimental results comparing the behavior of the MutantXL algorithm to the F4 algorithm on HFE and randomly generated multivariate systems. In both cases MutantXL is faster and uses less memory...

A new geometric proof is given for the standard description of subgroups in the Chevalley group G = G(F4, R) of type F4 over a commutative ring R that are normalized by the elementary subgroup E(F4, R). There are two major approaches to the proof of such results. Localization proofs (Quillen, Suslin, Bak) are based on a reduction in the dimension. The first proofs of this type for exceptional g...

OBJECTIVE To explore the laws of traditional Chinese medicine (TCM) syndromes in unstable angina, and to establish the preliminary diagnostic criteria for TCM syndromes. METHODS Multi-center prospective research on TCM syndromes in 815 cases of unstable angina was done with the nonlinear dimension reduction by factor analysis. RESULTS There were five extracted factors in factor analysis: F1...

The formant frequencies of Malaysian Malay children have not been well studied. This article investigates the first four formant frequencies of sustained vowels in 360 Malay children aged between 7 and 12 years using acoustical analysis. Generally, Malay female children had higher formant frequencies than those of their male counterparts. However, no significant differences in all four formant ...

Signature-based algorithms are a popular kind of algorithms for computing Gröbner basis, including the famous F5 algorithm, F5C, extended F5, GV and the GVW algorithm. In this paper, an efficient method is proposed to solve the detachability problem. The new method only uses the outputs of signature-based algorithms, and no extra Gröbner basis computations are needed. When a Gröbner basis is ob...

The perceptual measures are often used to assess distortions in image compression. In this article different images were evaluated using the Picture Quality Scale (PQS) measure with neural network. On the basis of original and compressed images the local distortions in the compressed image are calculated. Then five factors {F1, F2, F3, F4, F5}, which represent these distortions are computed, an...

In this paper, we present an efficient attack on the multivariate Quadratic Quasigroups (MQQ) public key cryptosystem. Our cryptanalysis breaks the MQQ cryptosystem by solving a system of multivariate quadratic polynomial equations using both the MutantXL algorithm and the F4 algorithm. We present the experimental results that show that MQQ systems is broken up to size n equal to 300. Based on ...