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The main motive of this research is to study energy-efficient data-gathering mechanisms to detect sensor data irregularities. To detect the sensor data irregularities is useful for practical applications as well as for management of network, because the patterns found can be used for both decision making in applications and system performance tuning. For example, irregularities in sensory data ...

The local velocity field of young stars is dominated by the galactic rotation, the kinematics of the Gould Belt and the nearest OB associations and open clusters, and the kinematics of the spiral structure. We reexamined here this local velocity field by using a large sample of nearby O and B stars from the Hipparcos Catalogue. The high quality astrometric data are complemented with a careful c...

1. The Classical Problems 1 2. Roth’s Orthogonal Function Method 5 3. Halász’s Modification of Roth’s Method 7 4. The Method of van der Corput 10 5. The Method of Davenport 12 6. Generalizations of the Problem 16 7. Beck’s Probabilistic Method 23 8. A Combinatorial and Geometric Approach 27 9. A Fourier Transform Approach 37 10. An Integral Geometric Approach 46 11. The Davenport-Roth Method Re...

In this study, the association of Equatorial Ionization Anomaly (EIA) with various post sunset ionospheric irregularity manifestations are brought out empirically using Global Positioning System derived Total Electron Content (GPS - TEC) data from five stations centered around 77° E longitude as well ionosonde at a dip equatorial station Trivandrum (geographic latitude 8.5° N ; geographic E) fo...

Suppose (x1, x1 ,..., xs+J is a sequence of numbers with xi E [0, 1) which has the property that for each r < s and for each k < r, the subinterval [k/r, (k + l/n)) contains at least one point of the subsequence (xl, xz ,..., x7*). For fixed d, we wish to find the maximum s = s(d) for which such a sequence exists. We show that s(d) < 4(d+a12 for all d and that s(O) = 17. Let X = (x1, x2 ,...) b...

THEOREM IB (Roth [11]). For every natural number N^2, there exists a distribution 0* of N points in U such that I. L-l \DL[&;B(y)]\dy«L(\ogN) u Note that Theorems 1A and IB remain true in the trivial case L = 1. Suppose now that ^ is a distribution of N points in the unit torus U = [0, 1)*, where K 5= 2. Let A be a compact and convex body in U. For any real number A € (0, 1], any proper orthogo...

Democratic societies are built around the principle of free and fair elections, and that each citizen's vote should count equally. National elections can be regarded as large-scale social experiments, where people are grouped into usually large numbers of electoral districts and vote according to their preferences. The large number of samples implies statistical consequences for the polling res...