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qr code vb.net open source Polar TwoSpace in .NET
Polar TwoSpace Code39 Recognizer In .NET Framework Using Barcode Control SDK for Visual Studio .NET Control to generate, create, read, scan barcode image in VS .NET applications. Encode Code 3 Of 9 In .NET Using Barcode generation for Visual Studio .NET Control to generate, create Code39 image in .NET framework applications. p /2 Recognize ANSI/AIM Code 39 In VS .NET Using Barcode reader for .NET framework Control to read, scan read, scan image in VS .NET applications. Barcode Printer In .NET Using Barcode generator for .NET framework Control to generate, create barcode image in .NET applications. x 3 2 1 1 2 3 Barcode Reader In Visual Studio .NET Using Barcode recognizer for .NET Control to read, scan read, scan image in VS .NET applications. Make Code 39 Extended In C# Using Barcode creation for .NET framework Control to generate, create ANSI/AIM Code 39 image in VS .NET applications. p /2 Generate Code 39 Extended In Visual Studio .NET Using Barcode generation for ASP.NET Control to generate, create Code 39 image in ASP.NET applications. USS Code 39 Printer In VB.NET Using Barcode creation for .NET Control to generate, create Code 39 Extended image in .NET framework applications. Figure 37 A graph of the Arctangent function The
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Data Matrix ECC200 Maker In Java Using Barcode creator for Android Control to generate, create DataMatrix image in Android applications. EAN13 Generation In None Using Barcode printer for Microsoft Word Control to generate, create EAN / UCC  13 image in Microsoft Word applications. If we take the Arctangent of both sides, we obtain Arctan (tan q ) = Arctan ( y /x) which can be rewritten as q = Arctan (y /x) Suppose the point P = (x,y) happens to lie in the first or fourth quadrant of the Cartesian plane In this case, we have p /2 < q < p /2 so we can directly use the conversion formula q = Arctan ( y /x) If P = (x,y) is in the second or third quadrant, then we have p /2 < q < 3p /2 That s outside the range of the Arctangent function, but we can remedy this situation if we subtract p from q When we do this, we bring q into the allowed range but we don t change its tangent, because the tangent function repeats itself every p radians (If you look back at Fig 25 again, you will notice that all of the branches in the graph are identical, and any two adjacent branches are p radians apart) In this situation, we have q p = Arctan ( y /x) which can be rewritten as q = p + Arctan ( y /x) Now we re ready to derive specific formulas for q in terms of x and y Let s break the scenario down into all possible general locations for P = (x,y), and see what we get for q in each case: P at the origin If x = 0 and y = 0, then q is theoretically undefined However, let s assign q a default value of 0 at the origin By doing that, we can fill the hole that would otherwise exist in our conversion scheme P on the +x axis If x > 0 and y = 0, then we re on the positive x axis We can see from Fig 36 that q = 0 P in the first quadrant If x > 0 and y > 0, then we re in the first quadrant of the Cartesian plane where q is larger than 0 but less than p /2 We can therefore directly apply the conversion formula q = Arctan ( y /x) Bar Code Generation In .NET Using Barcode maker for ASP.NET Control to generate, create bar code image in ASP.NET applications. Scan Barcode In Java Using Barcode Control SDK for BIRT Control to generate, create, read, scan barcode image in Eclipse BIRT applications. Polar TwoSpace
P on the +y axis If x = 0 and y > 0, then we re on the positive y axis We can see from Fig 36 that q = p /2 P in the second quadrant If x < 0 and y > 0, then we re in the second quadrant of the Cartesian plane where q is larger than p /2 but less than p In this case, we must apply the modified conversion formula q = p + Arctan ( y /x) P on the x axis If x < 0 and y = 0, then we re on the negative x axis We can see from Fig 36 that q = p P in the third quadrant If x < 0 and y < 0, then we re in the third quadrant of the Cartesian plane where q is larger than p but less than 3p /2, so we apply the modified conversion formula q = p + Arctan ( y /x) P on the y axis If x = 0 and y < 0, then we re on the negative y axis We can see from Fig 36 that q = 3p /2 P in the fourth quadrant If x > 0 and y < 0, then we re in the fourth quadrant of the Cartesian plane where q is larger than 3p /2 but smaller than 2p That s the same thing as saying that p /2 < q < 0 We ll get an angle in that range if we apply the original conversion formula q = Arctan ( y /x) In the interest of elegance, we d like the angle in the polar representation of a point to always be nonnegative but less than 2p We can make this happen by adding in a complete rotation of 2p to the basic conversion formula, getting q = 2p + Arctan ( y /x) We have taken care of all the possible locations for P A summary of the ninepart conversion formula that we ve developed is given in the following table q=0 q=0 q = Arctan ( y /x) q = p /2 q = p + Arctan ( y /x) q=p q = p + Arctan ( y /x) q = 3p /2 q = 2p + Arctan ( y /x) At the origin On the +x axis In the first quadrant On the +y axis In the second quadrant On the x axis In the third quadrant On the y axis In the fourth quadrant

