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A more simplistic solution is to use fixed-point arithmetic, directly mapping floating-point numbers to integers We will just imagine a decimal point between the third and fourth digits The weakness of using fixed-point arithmetic s that you are limited in how many decimal spots you can use after the floating point However, the precision is generally good enough to suit the needs of sprite movement To achieve the best precision, you should use a long integer, because it is the largest numerical format in the Java language Long integers offer 64 bits for floating-point number representation Because most devices have small screens and relatively coarse sprite movement, most sprite math usually involves real numbers in the range between 0001 and 1000000 Because you'll need four digits to represent 1000, its integer value would be 1000 Further, the integer value of 1000000 would be 1000000 Our custom floating-point library must also implement common mathematical functions For example, the trigonometric sine function can be calculated using an interactive formula This approach is very precise if a high enough number of iterations are performed Unfortunately, it is difficult to predict how many loops are needed to calculate sine with precision, and each loop eats up precious time A much faster approach is to use pre-calculated value tables (a list of values) for each function The table for sine can have the results for angle values of 0, 10, 20, and so on, all the way to 90 If a game needs to find the sine of 6 , the library uses linear interpolation to calculate it based on neighboring results The more values that are in the table, the more precise results can be More precision can also be achieved by interpolating through more points Listing 171 implements a basic floating-point library for J2ME Listing 171 The Float Class.

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Listing 171 creates a library that isn't complete, but offers enough functionality to move prites in a game All functions are static, enabling any other class to easily access the methods The float value is represented as a long integer You must carefully keep track of numbers you use in the game some long integers will actually be floating-point numbers The constant VALUE_ONE represents the number 10, and the number of zeros shows how many decimal places are reserved after the decimal point You can change this value to offer different levels of precision By increasing the constant, the maximum float value decreases Some values in mathematical libraries are represented as constants The most commonly used constants are pi ( ) and E Because the game needs only trigonometric functions, the constant E is not needed Pi has the value 3142 to provide the highest precision possible with three decimal places after the decimal point A floating-point number can be created with two createFloat() methods One method accepts just an integer value, and the other accepts an additional fraction part If method parameters exceed the maximum value, an exception is thrown To retrieve the integer part of a floating number, your game can call the getInteger() method To retrieve the fraction part, call the getFraction() method Addition and subtraction are done in the traditional way When multiplying, however, the result must be divided with the VALUE_ONE constant at the end to keep the result at the same decimal point precision During division, the result is multiplied by VALUE_ONE to keep the same decimal point precision To avoid additional precision losses, the numbers must be multiplied before dividing them.

156 - Investment Planning (4) Because this is a relative measure, the Sharpe index must be used to compare alternative investments Note: In comparing, bigger is better (5) If the portfolio is fully diversi ed (all nonsystematic risk has been eliminated), then the Sharpe index should yield similar results for a comparison of several investments as the Treynor index (6) The Sharpe ratio is calculated as rp rf Si s where rp is the portfolio rate of return, rf is the risk-free rate of return, and is the standard deviation of the portfolio B Treynor ratio (1) Relative measure of the risk-adjusted performance of a portfolio based on the market risk (ie, the systematic risk); therefore, use with diversi ed portfolios (2) Risk is measured by the beta coef cient ( ) (3) If the portfolio is fully diversi ed (all nonsystematic risk has been eliminated), then both indices (Sharpe and Treynor) should yield the same results, because diversi cation will eliminate all unsystematic risk from the portfolio (4) Because this is a relative measure, the Treynor index must be used to compare alternative investments In comparing, if the Ti 0, that is good; if < 0, that is no good (5) The Treynor index should be computed for the market to determine whether a particular portfolio has outperformed the market The results do not indicate by how much each portfolio outperformed the market (6) The Treynor ratio is calculated as beta where rp is the realized return of the portfolio and rf is the risk-free rate of return C Jensen ratio (1) Alpha, , is an absolute measure of performance and measures how well a managed portfolio performed relative to an unmanaged portfolio of equal risk (2) It determines how much the realized return differs from the required return The following formula is used to nd alpha: = rp [rf + (rm rf) beta] (3) In the equation, the (referred to as alpha) value indicates whether a portfolio manager is superior or inferior in market timing and stock selection A positive alpha indicates a superior manager, and a negative alpha indicates an inferior manager (4) Example: Assume a return of 15 percent with a beta of 12 for manager X when the market return is 143 percent and the risk-free rate is 7 percent The alpha is expressed as (a) = 015 [007 + (0143 007)12] = 00076 (b) This indicates inferior performance because it is negative If portfolio manager Y earns a return of 125 percent with a beta of 07, then the alpha is expressed as = 0125 [007 + (0143 007) 07] = 00039 (c) This indicates superior performance because it s positive The absolute return for manager X is higher, but the risk-adjusted return for manager Y is greater, denoting Ti rp rf.

11: Eliminating Excise. Make qr-code with .net using . for .net control to generate, create qr barcode image in . As in the last example, many applications have one lace where the values (such as filenames, numeric values, and selected options) are displayed for output and another place where user input to them is accepted. This follows the implementation model, which treats input and output as different processes. A user s mental model, however, doesn t recognize a difference. He thinks, There is the number. I ll just click on it and enter a new value. If the application can t accommodate this impulse, it is needlessly inserting excise into the interface. If options are modifiable by a user, he should be able to do so right where the application displays them.Related: EAN-8 Generator .NET , UPC-E Generation .NET , .NET ISBN Generation

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length; i++) { trace(i, lines[i]); } // 0 Oh ActionScript three //1 you make coding delightful /2 I think you are neat. bar code for java Using Barcode recognizer for .The rst and second delimiters in the example have different ormats, but the regular expression catches them both. Additionally, by interpreting the whitespace (represented by \s, as you ll learn in the next section, Constructing Expressions ) as part of the delimiter, it is not included in the split-up substrings. As you can see, all three lines print out without extra whitespace in the beginning.Related: Intelligent Mail Generating .NET

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