ВИШКІЛ ОФІЦЕРІВ-ТАНКІСТІВ ЧЕРВОНОЇ АРМІЇ: 30–40-ві роки XX ст.

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A load estimation algorithm based on k-means cluster analysis was developed. The algorithm applies cluster centres – of previously clustered load profiles – and distance functions to estimate missing and future measurements. Canberra, Manhattan, Euclidean, and Pearson correlation distances were investigated. Several case studies were implemented using daily and segmented load profiles of aggreg...

Rr Xx-xx

The growing availability of low-power sensors, microprocessors, and transmitters makes it increasingly attractive to use distributed sensor networks for track-health monitoring. Widespread implementation of these networks will require robust and low-maintenance methods for powering the electronics. This research investigates two principal methods of harvesting mechanical power from passing rail...

Math 3040 Spring 2009 The Natural Numbers

Proofs are used both to assist or insure the solution of specific problems in mathematics and to provide the cement that holds together the construction of large-scale mathematical structures, such as the theory of real numbers or the theory of groups. In this and subsequent chapters, we shall be using proofs for a large-scale project, namely the construction of some of the most common number s...

Math 3040 : Spring 2009 The Rational Numbers

1. The Set Q 1 2. Addition and multiplication of rational numbers 4 2.1. Definitions and properties. 4 2.2. Comments 7 2.3. Connections with Z. 9 2.4. Better notation. 10 2.5. Solving the equations Ea,b and Ma,b. 12 3. Ordering the rational numbers 13 4. Sequences and limits in Q 18 5. Non-convergent Cauchy sequences of rationals 20 5.1. An irrational sequence of rationals 20 5.2. An irrational...

Submitted xxxx; Revised xxxx; Published xx/xx