saying array for formulas and functions

... hyperplane H = {x| p, x = α} separates S1 and S2 if p, x ≥ α for each x ∈ S1 and p, x ≤ α for each x ∈ S2 If, in addition, p, x ≥ α + ε for each x ∈ S1 and p, x ≤ α for each x ∈ S2, where ε is a positive ... vector p and a scalar α such that p, x > α and p, x ≤ α for each z ∈ A A y x z Here p = x − y tvnguyen (University of Science) Convex Optimization 50 / 108 Chapter Duality for sets and functions ... Optimization 53 / 108 Chapter Duality for sets and functions Illustration p p tvnguyen (University of Science) A Convex Optimization 54 / 108 Chapter Duality for sets and functions Supporting hyperplane...

Ngày tải lên: 23/10/2013, 15:20

... properties for sets and functions Linear Subspaces Let us recall that a subspace L is a subset of IRn which satisfies the property : ∀x, y ∈ L, ∀α ∈ IR, x + y ∈ L and αx ∈ L and that two affine sets A and ... properties for sets and functions Examples Let C = {x} Then aff C = {x}, int C = ∅ and ri C = {x} Let C = [a, b] where a, b ∈ IR n with a = b and n ≥ Then aff C is the straight line generated by a and ... Chapter Topological properties for sets and functions Illustration tvnguyen (University of Science) Convex Optimization 39 / 108 Chapter Topological properties for sets and functions Closure or l.s.c...

Ngày tải lên: 23/10/2013, 15:20

... techniques and functions for amortizing loans, analyzing investments, dealing with bonds, and using discounting for business case and cash-flow analysis This Book’s Special Features Formulas and Functions ... values and formulas ■ If you want to scrub everything from the range (values, formulas, formats, and comments), select the range and then hold down the Ctrl key Next, click and drag the fill handle ... range’s cell attributes ■ Formulas Pastes only the cell formulas ■ Values—Converts the cell formulas to values and pastes only the values ■ Formats—Pastes only the cell formatting ■ Comments—Pastes...

Ngày tải lên: 13/12/2013, 09:16

... pasted Formulas and Number Formats Pastes the cell formulas and numeric formatting Values and Number Formats Converts the cell formulas to values and pastes only the values and the numeric formats ... learn techniques and functions for amortizing loans, analyzing investments, and using discounting for business case and cash-flow analysis This Book’s Special Features Formulas and Functions with ... values and formulas ■ If you want to scrub everything from the range (values, formulas, formats, and comments), select the range and then hold down the Ctrl key Next, click and drag the fill handle...

Ngày tải lên: 18/03/2014, 14:54

... pasted Formulas and Number Formats Pastes the cell formulas and numeric formatting Values and Number Formats Converts the cell formulas to values and pastes only the values and the numeric formats ... learn techniques and functions for amortizing loans, analyzing investments, and using discounting for business case and cash-flow analysis This Book’s Special Features Formulas and Functions with ... values and formulas ■ If you want to scrub everything from the range (values, formulas, formats, and comments), select the range and then hold down the Ctrl key Next, click and drag the fill handle...

Ngày tải lên: 05/07/2014, 12:21

... the book and in the continuous usage of the functions and formulas you will discover here xvii This page intentionally left blank Chapter Formulas in Excel Production per hour Data for some ... Excel is the well-known standard spreadsheet application that allows you to easily perform calculations and recalculations of data by using numerous built-in functions and formulas Although you may ... versatile functions and formulas inside Excel that most users haven’t discovered yet, this book was written to help readers uncover and use its wide range of tools For each function or formula,...

Ngày tải lên: 14/08/2014, 08:21

... cells B2:B14 and type the following formula: =(A2*1.8)+32 Press Figure 1-24 Note: You can create a user-defined format to insert the degree sign (°) Go to the Format menu, and select ... cells B2:B14 and type the following formula: =(A2-32)/1.8 Press Figure 1-25 Note: You can create a user-defined format to insert the degree sign (°) Go to the Format menu, and select ... Select cell A2 and enter 10 Select cell B2 and enter 50 Select cell D2 and type =B2*A2 In cells A4:A7 enter the number of boxes from to Select cells B4:B7 and type the following formula: =$B$2*($A$2/A4)...

Ngày tải lên: 14/08/2014, 08:21

... check for valid numbers: Enter some values in column A and change the format for some of them to text (using the Cells option from the Format menu) Select cells B2:B10 and type the following formula: ... want to combine the information from columns A and B Figure 3-30 To combine and format text: In a worksheet, copy the data shown in Figure 3-30 Select cells C2:C10 and type the formula =B2/1000 Press ... uppercase and lowercase Select cells B2:B10 and type the following formula: =CODE(A2) Press Figure 3-27 86 Chapter The DOLLAR function converts a number to text format and applies...

Ngày tải lên: 14/08/2014, 08:22

... Select cell F2 and enter 12.50 (hourly rate for Monday through Friday) Select cell F5 and enter 18.50 (hourly rate for Saturday and Sunday) Select cells D2:D10 and type the following formula: =IF(OR(WEEKDAY(A2)=1,WEEKDAY(A2)=7), ... cells D2 and type the following formula: =QUARTILE($B$2:$B$10,0) Select cells D3 and type the following formula: =QUARTILE($B$2:$B$10,1) Figure 5-18 Basic Statistical Functions 143 array: An array ... A12, A13, and A14 with 1, 2, and 3 Select cells B12:D14 and type the following formula: =LARGE(B$2:B$10,$A12) Press Figure 5-5 130 Chapter Use the INDEX, MATCH, and LARGE functions...

Ngày tải lên: 14/08/2014, 08:22

... components in the given arrays and returns the sum of those products SUMPRODUCT (array1 , array2 , array3 , ) array1 , array2 , array3 , : From2 to 30 arrays whose components to be multiplied and then added ... to 999 in cells A2:D10 and then replaces the formulas with calculated values To generate integer random values: Select cells A2:D10 and type the following formula: =INT(RAND()*1000) Press ... C13 and type the following formula: =SUBTOTAL(3,B2:B10) Press Figure 6-29 174 Chapter Use the RAND function to generate random values To generate randomized values Excel provides the RAND...

Ngày tải lên: 14/08/2014, 08:22

... the array form of the LOOKUP function to return a value from a one-row or one-column range or from an array LOOKUP(lookup_value, array) lookup_value: A value that will be looked up in an array array: ... cell B9 and type the following formula: =LOOKUP($A$9,$A$1:$B$8) Press Select cell C9 and type the following formula: =LOOKUP($A$9,$A$1:$C$8) Press Lookup and Reference Functions ... searches for a value in the top row of a table or an array of values, and then returns a value in the same column from a row that is specified in the table or array HLOOKUP(lookup_value, table _array, ...

Ngày tải lên: 14/08/2014, 08:22

... Condition and type the following formula: =A1=LARGE($A$1:$E$10,2) Format as in steps and Select Formula Is under Condition and type the following formula: =A1=LARGE($A$1:$E$10,3) Format as in steps and ... click Conditional Formatting 10 Select Formula Is and type the following formula: =$B$1=A3 11 Repeat steps and to format the cells 10 12 Click OK Conditional Formatting with Formulas 255 Figure ... Formatting Select Formula Is and type the formula =HF(A1) Click Format From the Patterns tab, select a color and click OK Click OK 258 Chapter 10 10 Figure 10-15 Conditional Formatting with Formulas...

Ngày tải lên: 14/08/2014, 08:22

... 11-1 Working with Array Formulas 277 Use the INDEX, MAX, ISNUMBER, and ROW functions to find the last number in a column Use the table from the previous tip and continue with array formulas Now we ... Figure 10-29, and select the range A2:B12 On the Format menu, click Conditional Formatting Select Formula Is and type the following formula: =AND( $A3>($A2+1),$B3>($B2+1)) Click Format From the ... following formula: =$F$2=B2 Click Format In the Patterns tab, select a color and click OK 11 10 Click OK Working with Array Formulas 281 Figure 11-5 282 Chapter 11 Use the AVERAGE and IF functions...

Ngày tải lên: 14/08/2014, 08:22

... Solutions with Formulas 313 Use a custom function to change all cells with formulas to values This macro changes all cells with formulas to cells containing values Note that all formulas will ... cells containing formulas When executed, each cell that contains a formula is listed by its cell address, along with the formula and the current value To determine and document all formulas in the ... conditional formatting Select cells A5:D12 From the Format menu, click Conditional Formatting Select Formula Is and type the following formula: =$D5=MAX($D$5:$D$12) Click Format to select the desired formatting...

Ngày tải lên: 14/08/2014, 08:22

... formulas absolute reference format, 66 arithmetic, 57-58 array formulas constants, 93 operating on multiple ranges, 91-92 arrays, selecting, 91 circular reference formulas, 95-96 comparison formulas, ... function, 398 forecasting business performance, regression analysis, 385 forecasting values, plotting, 395-396 Form controls, 105 formatting See also conditional formatting Currency format, applying ... factors (row 8) and the discounted cash flows (rows and 10) Figure 20.6 The discounted yearly and cumulative cash flows for a rental property 20 490 Chapter 20 Building Discount Formulas The key...

Ngày tải lên: 14/08/2014, 08:22