G. Navarro raised the question whether the ordinary character table X(G) of a finite group G determines the Sylow numbers of G. In this note we show that this is the case when G is nilpotent-by-nilpotent, quasinilpotent, Frobenius group or a 2-Frobenius group. In particular Sylow numbers of supersoluble groups are determined by their ordinary character table. If G and H are finite groups with i...

The problem of the existence and construction of a table of osculating rational functins fj m for 1, m > 0 is considered. First, a survey is given of some results from the theory of osculatory rational interpolation of order s¡ — 1 at points x¡ for i > 0. Using these results, we prove the existence of continued fractions of the form c0 + c, -(x y0) + . . . + ck-(x y0) . . . (x yk_x) ck + l •<* ...

Nowadays development environments are required to be open: users want to be able to work with a combination of their preferred commercial and home-grown tools. TakeFive has opened up SNiFF+ with a so-called "Symbol Table API"; Rational has opened up the UML tool Rose via the so-called "Rose Extensibility Interface (REI)". On the other hand, efforts are underway to define standards for exchangin...

For water levels, generally a non-stationary variable, the technique of universal kriging is applied in preference to ordinary kriging as the interpolation method. Each set of data in every sector can fit different empirical semivariogram models since they have different spatial structures. These models can be classified as circular, spherical, tetraspherical, pentaspherical, exponential, gauss...

Attempt 3 questions. (If you attempt more, only the best 3 will be counted.) All questions carry the same number of marks. Unless otherwise stated, all groups are compact (or finite), and all representations are of finite degree over C. 1. Define a group representation. What is meant by saying that a representation α is simple? Determine all simple representations of S 3. from first principles....

There is a simple formula for the absolute value of the determinant of the character table of the symmetric group Sn. It equals aP , the product of all parts of all partitions of n (see [4, Corollary 6.5]). In this paper we calculate the absolute values of the determinants of certain submatrices of the character table X of the alternating group An, including that of X itself (Section 2). We als...

Document analysis often starts with robust signatures, for instance for document lookup from low-quality photographs, or similarity analysis between scanned books. Signatures based on OCR typically work well, but require good quality OCR, which is not always available and can be very costly. In this paper we describe a novel scheme for extracting discrete signatures from document images. It ope...

This paper discusses the process of implementing an off-line system for recognizing handwritten Arabic words. In order to recognize a word, its character decomposition should be known. This is done through segmentation. In our model, Arabic character recognition goes through a preprocessing stage followed by a recognition stage. Each character of the word is investigated in order to determine i...

According to Ayurveda, a healthcare system is like table which stood upon four factors i.e., Bhishaka (physician), Dravya (medicaments), Upasthata (attendant) and Rogi (patient), among physician considered be the most principal factor others. Charaka Samhita being foremost compendium of Ayurveda has given much emphasis on various characteristic an ideal along with his duties, functions other es...

Table 2: Confusion matrix with 93.30% rec. rate and 1.39% error rate. 9 Acknowledgments The authors thanks ELSAG S.p.A., Italy, for supplying the character database and all researchers and staa of IRST that have contributed to this work. 15 Figure 5: A random subsample of size normalized characters. Second, values of free parameters are learned through a gradient-descent based algorithm. The cl...