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Convert . NET HTML to PDF in with easyPDF SDK. Set it up fast and easy, use . NET Sample Codes collection. Download free trial & code samples now! In high-school math courses, you were probably taught that you can view complex numbers in two ways: as rectangular coordinates x + yi or as polar coordinates of a phase r and magnitude . In most computer systems, complex numbers are stored in the first format, although often the second format is more useful. Wouldn t it be nice if you could look at complex numbers through either lens You could do this by explicitly converting from one form to another when needed, but it would be better to have your programming language look after the transformations needed to do this for you. Active patterns let you do exactly that. First, here is a standard definition of complex numbers: [<Struct>] type Complex(r: float, i: float) = static member Polar(mag,phase) = Complex(mag * cos phase, mag * sin phase) member x.Magnitude = sqrt(r*r + i*i) member x.Phase = atan2 i r member x.RealPart = r member x.ImaginaryPart = i Here is a pattern that lets you view complex numbers as rectangular coordinates: let (|Rect|) (x:Complex) = (x.RealPart, x.ImaginaryPart) And here is an active pattern to help you view complex numbers in polar coordinates: let (|Polar|) (x:Complex) = (x.Magnitude, x.Phase) The key thing to note is that these definitions let you use Rect and Polar as tags in pattern matching. For example, you can now write the following to define addition and multiplication over complex numbers: let addViaRect a b = match a, b with | Rect (ar, ai), Rect (br, bi) -> Complex (ar+br, ai+bi) let mulViaRect a b = match a, b with | Rect (ar, ai), Rect (br, bi) -> Complex (ar*br - ai*bi, ai*br + bi*ar) vb.net pdf: VB . NET PDF Library SDK to view, edit, convert, process PDF file for ... vb.net pdf PDFsharp download | SourceForge. net
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Best VB . NET adobe PDF to Text converter SDK for Visual Studio .NET. Convert PDF to text in .NET WinForms and ASP.NET project. Text in any PDF fields can ... As it happens, multiplication on complex numbers is easier to express using polar coordinates, implemented as follows: let mulViaPolar a b = match a, b with | Polar (m, p), Polar (n, q) -> ComplexPolar (m*n, p+q) Here is an example of using the (|Rect|) and (|Polar|) active patterns directly on some complex numbers via the pattern tags Rect and Polar You first make the complex number 3+4i: > let c = Complex (30, 40);; val c : complex > c;; val it : complex = 30r+40i > match c with | Rect (x, y) -> printfn "x = %g, y = %g" x y;; x = 3, y = 4 val it : unit = () match c with | Polar (x, y) -> printfn "x = %g, y = %g" x y;; x = 50, y = 0. In addition to using the Sounds app, you can use the Contacts app to set custom ring tones or alerts for people. 1. Start the Contacts icon and type a few letters to find the contact you wish to edit, e.g., Ma Tr to find Martin Trautschold. Click the Menu key and select Edit. vb.net pdf . NET PDF SDKs - Foxit Developers | PDF SDK technology
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