Excel's Formula - sisman

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422 Part V: Miscellaneous <strong>Formula</strong> Techniques Figure 16-5: Using circular reference formulas to generate unique random integers in column A. Each formula in column A contains a circular reference. The formula in cell A1, which was copied down the column, is =IF(OR(Dupes0,(AND(A1>=Lowest,A1
Chapter 16: Intentional Circular References 423 Solving a recursive equation A recursive equation is an equation in which a variable appears on both sides of the equal sign. The following equations are examples of recursive equations: x = 1/(x+1) x = COS(x) x = SQRT(X+5) x = 2^(1/x) x = 5 + (1/x) You can solve a recursive equation by using a circular reference. First, make sure that you turn on the Enable Iterative Calculation setting. Then convert the equation into a self-referencing formula. To solve the first equation, enter the following formula into cell A1: =1/(A1+1) The formula converges at 0.618033989, which is the value of x that satisfies the equation. Sometimes, this technique doesn’t work. For example, the formula allows the possibility of a division by zero error. The solution is to check for an error. If the formula displays an error, modify the iterated value slightly. For example, the preceding formula can be rewritten using the IFERROR function: =IFERROR(1/(A1+1),A1+0.01) IFERROR was introduced in Excel 2007. Following is a version of the formula that’s compatible with previous versions of Excel: =IF(ISERR(1/(A1+1)),A1+0.01,1/(A1+1)) Figure 16-6 shows a worksheet that calculates several recursive equations in column B. The formulas in column D provide a check of the results. For example, the formula in column D2 is =1/(B2+1) <strong>Formula</strong>s in column E display the difference between the values in column B and column D. If the solution is correct, column E displays a zero (or a value very close to zero). You can access recursive equations.xlsx, the workbook shown in Figure 16-6, on the companion CD-ROM.
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Excel ® Microsoft 2010 ® Microsof
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Excel® 2010 Formulas Published by
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Publisher’s Acknowledgments We’
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vi Part VII: Appendixes Appendix A:
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viii Keyboard shortcuts . . . . . .
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x Potential Problems with Names . .
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xii Date-Related Functions . . . .
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xiv Working with Tables . . . . . .
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xvi Chapter 13: Financial Schedules
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xviii Creating Links to Cells . . .
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xx Excel’s Auditing Tools . . . .
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xxii Does the text match a pattern?
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1 INTRODUCTION Welcome to Excel 201
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VBA code listings Introduction 3 Do
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Introduction 7 You can also use thi
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Basic Information Chapter 1 Excel i
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Introducing Worksheet Functions In
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Let Excel insert functions for you
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Manipulating Text In This Chapter
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Working with Dates and Times In Thi
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Counting and Summing Techniques In
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Getting a quick count or sum Chapte
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Yet another way to perform this cou
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The following array formula does th
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10 Miscellaneous Calculations In Th
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Table 10-1: Excel Rounding Function
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Round it up to the nearest penny.
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Introducing Arrays In This Chapter
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Chapter 14: Introducing Arrays 369
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Appendixes Appendix A Excel Functio
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770 Index array formulas (continued
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5. Limited Warranty. (a) WPI warran
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