introduction to p-adic numbers and p-adic analysis - a baker

... dispersion.Just as it is natural to use the median and the interquartile range to- gether, so is it natural to use the mean and the standard deviation together.In the case of a symmetric random variable, ... expected valueof a random variable (the population mean, µ), and one important measureof dispersion, the standard deviation of a random variable (the populationstandard deviation, σ). This chapter ... interquartile range of a normal randomvariable is approximately 1.35 standard deviations. If we encounter a randomvariable for which this is not the case, then that random variable is notnormally...

... a prime number.15An Introduction to p-adic Numbers and p-adic Analysis A. J. Baker [4/11/2002]Department of Mathematics, University of Glasgow, Glasgow G12 8QW,Scotland.E-mail address: a. baker@ maths.gla.ac.ukURL: ... term of 3-adic norm smaller than 1/33.2. THE p-ADIC NORM AND THE p-ADIC NUMBERS 27Notice that the p-adic expansion of a p-adic number is unique, whereas the decimal expansionof a real need ... a. baker@ maths.gla.ac.ukURL: http://www.maths.gla.ac.uk/∼ajb16 2. THE p-ADIC NORM AND THE p-ADIC NUMBERS Definition 2.3. If 0 = x ∈ Z, the p-adic ordinal (or valuation) of x isordpx = max{r...

... Data Types and Variables “Variables” are simply storage locations for data. You can place data into them and retrieve their contents as part of a C# expression. The interpretation of the data ... data stored in relational database systems, though it can also access data in non-relational sources. 14 Visual Studio Tutorial: Introduction to Visual Studio and C# 2.2.7 Build and ... includes a large library and supports several programming languages which allow language interoperability (each language can use code written in other languages). The .NET library is available to all...

... they are about to enter a separate RFblock is almost mandatory. High-quality RF feed-through capacitors and entire pi-type filters are commercially available and often come as integral parts ... following:98 Antennas and Associated Hardware•Main beamwidth [at 3-dB or, sometimes, at 1-dB points (e.g., for trackingantennas)];•Sidelobe level;•Front -to- back ratio;•Polarization and polarization ... frequency, and phase. Naturally, we can use combinations as well, butthey may appear as unwanted modulations, too. The nature of the modulating, orthe baseband signal can be analog or digital [23], a...