Apple Reference & Presentation Library 1994 February Supplement

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FrameMaker Help | 1994-01-27 | 49.6 KB | 486 lines | [FHlp/Fram]

math3.hlp FHlpFram <MakerFile 4.0K> Footnote TableFootnotee Hypertextl Headinge EquationRegular EquationRegular EquationRegular EquationVariable Symbol gotolink mainmenu.hlp:firstpage gotolink keymenu.hlp:firstpage gotolink index1.hlp:firstpage previouslink previouspage nextpage gotolink math1.hlp:Overview gotolink math2.hlp:Relations< gotolink math2.hlp:Calculus gotolink math2.hlp:Matrices gotolink math3.hlp:Functions gotolink math3.hlp:Positioning gotolink math3.hlp:Position... gotolink math2.hlp:Delimiters gotolink mainmenu.hlp:firstpagee gotolink keymenu.hlp:firstpage gotolink index1.hlp:firstpagei previouslinkrt previouspageHe nextpage gotolink math1.hlp:Overview gotolink math2.hlp:Relations< gotolink math2.hlp:Calculus gotolink math2.hlp:Matricesion gotolink math3.hlp:Functions gotolink math3.hlp:Positioning gotolink math3.hlp:Position... gotolink math2.hlp:Delimiters: gotolink mainmenu.hlp:firstpagep:f gotolink keymenu.hlp:firstpage quitfi gotolink index1.hlp:firstpage previouslink previouspagego nextpageve nextpagego gotolink .hlp:lastpage gotolink .hlp:firstpage equations:evaluatingat Functions page newlink Functionsm $gotolink math1.hlp:Equations palettego =functions, in equations;equations, math elements in:functionsp gotolink kmath2.hlp:Functions Positioning page.h newlink Positioning $gotolink math1.hlp:Equations palettepr equations:positioning inHe equations:spacing ingo gotolink math3.hlp:Position... equations:alignment in equations:line breaks in &gotolink graphic4.hlp:Line Break After Math Element Position Settings newlink Position...ing )Math Element Position Settings dialog boxo gotolink math3.hlp:Positioning newlink Alignmentg newlink Microposition Offsetst newlink Spacingge nextpagehl gotolink math2.hlp:lastpage nextpagego nextpageve nextpagego nextpage . nextpagego nextpagers nextpageeq nextpage <$lastpagenum>et <$monthname> <$daynum>, <$year>q "<$monthnum>/<$daynum>/<$shortyear>go ;<$monthname> <$daynum>, <$year> <$hour>:<$minute00> <$ampm>t "<$monthnum>/<$daynum>/<$shortyear> m <$monthname> <$daynum>, <$year>q "<$monthnum>/<$daynum>/<$shortyear>s: <$fullfilename>o <$filename>s <$paratext[HiddenTitle]> <$paratext[HiddenStatement]> <$curpagenum>oli <$marker1>ne <$marker2>li (Continued) + (Sheet <$tblsheetnum> of <$tblsheetcount>)* Heading & Page <$paratext> on page <$pagenum>go <$pagenum>g See Heading & Page %See <$paratext> on page <$pagenum>.s Table & Page 7Table <$paranumonly>, <$paratext>, on page <$pagenum>2 ProductName <Default Font>FrameMaker Body[H Body . Bodyfi 0equal[char[a],plus[char[b],num[3.00000000,"3"]]] !plus[char[b],num[3.00000000,"3"]] char[a]^ 0equal[char[a],plus[char[b],num[3.00000000,"3"]]] char[a] 0equal[char[a],plus[char[b],num[3.00000000,"3"]]]ar !plus[char[b],num[3.00000000,"3"]] Running H/F 3 EQUATIONS hortcuts Main Menu Running H/F 3 Introduction Relations page Calculus page Matrices page Functions page Positioning page Math Element Position Settings More in list... EQUATIONS hortcuts Main Menu Running H/F 3 (continued) EQUATIONS Introduction Relations page Calculus page Matrices page Functions page Positioning page Math Element Position Settings More in list... hortcuts Main Menu Page of the Equati palette where you insert functions (trigonometric, Ghyperbolic, logarithmic, and others) in an equation, and where you use l Acommands to evaluate and transform mathematical expressions. You n Mdisplay this page by clicking Functions at the top of the Equations palette. LTo insert a function, select an expression or put the insertion point in an Lequation. Then click the function on the Functions page. FrameMaker Rplaces the function at the insertion point or applies it to the selection (except Lfor the limit and general functions). If more than one question mark prompt Jappears in the equation when you click, press Tab to move from one prompt to another. SYou can use shortcuts to insert functions in equations and to evaluate expressions. GTo use a command on the Functions page, select the expression you want lo 9to evaluate. Then choose the command from a pop-up menu. Addition 8Add Fractions Adds fractions, expressing the result 0as a single fraction. Also combines like terms. 1Order Sum Arranges polynomials in decreasing powers of a selected variable. .Order Sum Reverse Arranges polynomials in *increasing powers of a selected variable. Multiplication 5Factor Factors a selected term out of a product. 2Factor Some Factors a selected term from only those terms that contain it. 5Multiply Out Simplifies the selected expression, 6distributes multiplication over addition, and expands 5a selected term raised to a positive integral power. ;Multiply Out Once Multiplies the first pair of factors +on the left side of a selected expression. 7Distribute Distributes division and multiplication @ 4over addition and transforms products and quotients /involving radicals and exponents into a single mu expression raised to a power. /Distribute Over Equality Performs the same +operation on both sides of the equal sign. Division 7Long Division Performs long division in a fraction z 3containing a polynomial numerator and denominator. 2Select one variable in the fraction to divide by. 8Remove Division Converts division to multiplication 4by changing positive exponents to negative and vice versa. 6Remove Division 1 Level Converts the top level of 5division to multiplication in a selected expression. -Remove Negative Powers Converts negative u 7exponents to positive by replacing multiplication with nd division and vice versa. Moreip ,Remove Negative Powers 1 Level Converts ha 7negative exponents to positive at the top level of the .expression. If the selected expression has no 2negative exponents at the top level, this command has no effect. Evaluation 5Number Crunch Changes integers to floating-point +numbers and then evaluates the expression. 8Show All Digits Shows the full internal accuracy of a floating-point number. 1Evaluate Evaluates expressions, performing a 0variety of operations depending on the selected 2expression. For example, this command rewrites an 2expression raised to a power of less than 20 as a /product, computes the factorial of an integer, 5computes the determinant of a 1 1 or 2 2 matrix, L 3extracts a term from a sum or product, rewrites an at 4Evaluate Between operator as a difference, rewrites ex 6the logarithm of a product as a sum of logarithms and 0a logarithm of a power as a product, rewrites a ex 4logarithm to a base in terms of natural logarithms, uc 7and rewrites a choice function in terms of factorials. /Evaluate Substitution Performs a specified s a 1substitution and then simplifies the expression. 6Evaluate Integrals Rewrites the selected integral with a polynomial integrand. .Evaluate Derivatives Evaluates a selected /derivative, applying the chain rule to complex 5expressions when necessary. For partial derivatives, 7all dependencies must be explicitly written. For total d 6derivatives, FrameMaker assumes that elements ;depend on the variable of differentiation. For 5derivatives, expand the expression with the Evaluate command first. 4Evaluate Derivatives 1 Level Evaluates only the o $top level of a selected derivative. Morere Rules 2Enter Rule Stores a rule for substituting one 2expression for another. Select the expression you .want to store as a rule (such as ) before choosing Enter Rule. 1Apply Rule Substitutes one term ( in the . 8preceding example) or set of terms for another ( in o 1the example) in a selected expression, using the -assignment ( in the example) stored with the Enter Rule command. 4Designate Dummy Designates the selected term in -an expression as a dummy variable. The dummy variable appears in boldface. 7A dummy variable on the left side of a rule allows you 7to substitute the expression on the right side for any J 2variable. For example, suppose you select and choose Designate Dummy and then Moreer 4select the entire expression and choose Enter Rule. 4When you later select any expression in an equation 6and choose Apply Rule, FrameMaker substitutes for the selected expression. Other Rewrites 2Simplify Simplifies expressions, performing a 0variety of operations depending on the selected os /expression. For example, this command performs 6integer arithmetic, groups terms in a sum or product, 5divides out common factors in a fraction, interprets =the complex number and distributes exponentiation $across multiplication and division. 6Simplify Some Simplifies the selected expression, *but does not multiply fractions together. 7Isolate Term Isolates a selected expression on one the .side of the equal sign. This command does not 4combine terms or solve for the selected expression. 2Expand First Term Expands the first term of a 7selected summation ( ) or product ( Moreex 5Expand All Terms Expands all terms of a selected s .summation ( ) or product ( Page of the Equati palette where you change the position >s H(micropositioning) and spacing for expressions, change the alignment of Lhorizontal and vertical lists and multiline equations, set and clear manual Lline breaks in multiline equations, and inspect the position and spacing of Oan expression. You display this page by clicking Positioning at the top of the Equations palette. Microposition 7Repositions an expression so it s closer to or farther l t )away from other elements in an equation. 5The large arrows move the selection in the indicated F 2directions. The center button moves the selection back to its original position. Spacing Adds or removes white space around the selected expression. .The plus/minus buttons change the white space 3adjacent to the indicated edges. The center button t o /restores the expression s default white space. Moreay Position Settings @Opens the Math Element Position Settings dialog box it 3to show the positioning, spacing, and alignment of re the selected expression. Alignment: Left/Right Aligns items in vertical lists, multiline equations, and c 6matrix columns along their left or right edges, their :centers, or to the left or right of their equal signs. If 9you choose Left of = or Right of = and an item, line, or 3column doesn t have an equal sign, the item aligns along its left side. 9To set automatic alignment, click in the list, equation, 3or matrix and choose an item from the pop-up menu. 8To set a manual alignment point at the insertion point, 4choose Set Manual. The item, line, or column aligns 3with other items along the manual alignment point. 2To clear the manual alignment point, choose Clear *Manual with the alignment point selected. Morens Alignment: l Up/Down 4Aligns horizontal lists and matrix rows along their tops, bottoms, or baselines. Line Breaking Sets and clears manual line breaks in an equation. 4To force an equation to break across lines, put the le 2insertion point where you want the line break and choose Set Manual. 9To clear the line break, select the part of the equation 2containing the manual line break and choose Clear Manual. 0You can specify the length at which an equation 5breaks automatically across lines. To do so, use the Automatic Line Break Afte r setting in the Object Properties dialog box Dialog box where you inspect and change the position, spacing, and on. Kalignment of a math element, expression, or equation. You open this dialog Wbox by clicking Position Settings on the Positioni page of the Equations palette. Alignment 7Shows the horizontal and vertical alignment for lists, #multiline equations, and matrices. Microposition Offset 7Shows the position of an expression in relation to its Bre original position. Spacing 1Shows the amount of white space added or removed 6at the top, left, bottom, and right of an expression. Right More2o More2Continued Referenceo More2 More2Continuedti More2Continued p More2Continued l More2Continuednm More2Continuednt More2Continued More2Continued m More2 More2Continuedet More2Continuedon More2i Header Footer TOCSubTopic RunningHead Title PBSideH SideBody SideBody SideH SideBody PBBody EquationVariable EquationVariable EquationRegular EquationRegular EquationRegular EquationRegular EquationVariable Button SmallRunningHeader Active Emphasis Medium Double Thickf Very Thin Builder Comment Maker Windows Black White Green Magenta Yellow Helvetica Times-Roman Helvetica-Bold Symbol Times Helvetica Symbol Regular Regular Regular HH@B@/ sig_dfl math3.hlp FHlpFram FHlpFram rg&`* ?`0J- 4.0.2P1a&4.0.2P1a, Frame Technology 1988-1994 4.0.2P1a FrameMaker Version 4.0.2P1a