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CIf you have ANY problems, just type the magic word again. The Bright Software staff (Henrik and other nuts) will share with you some of the best and most useful advises./^ What the hell is going on? טܢퟅ֛) 9ݡ}Tݠי U*"vb*NўkD|0pɣ LNå+kڦ"Let`s call it PowerPizzaFest!" (Andre Horstmann)"Now I know why it did not work. I was looking in the wrong table." (Henrik "Where are the window updates?" Gudat)"Of course it works, but after 20 minutes it crashes..." (Joerg "PowerDeveloper" Kienzle)"Pas de probleme. Il faut mettre un truc ici...et ici...et ici...shit..." (Yann "Bale-Nimes-Paris Transports SA" Le Tensorer)"LDAL $E0C019 AND #$7F ...hmmm..." (Urs "Code Burger" Hochstrasser)"What, out of memory? Ah yes, that`s because my program allocates all available memory..." (Andre "PhoneBill=1/0" Horstmann)"Wer kauft das denn schon..." (Urs "Big Deal" Brunner)"Haengt der schon wieder vor dem Glotzkasten?" (my mother)"What? The dollar is falling??? Nooooo!" (Henrik "Where is the Money" Gudat)"What a surpriiiiiise!" (Francois "Eastern egg support center" Uhrich, BrainStorm)If the sine does not work, try the cosine.Don`t expect any sales after a 2-hour live demonstration of your product.Be prepared for thousands of inquiries when you decided to discontinue a product.When you forget to register a letter, it is already lost.And when the registered letter arrives, you realize that the customer offices just installed new scanners that erase magnetic data carriers.Reviews of the initial version appear always then when you have just started shipping a brand-new release.Try to be polite when a customer asks for symbolic integration.Printer drivers - drive you crazy.If you have a math exam tomorrow: try to be better in the next French test.The GS is not slow. You are thinking too fast.If you think you are thinking too fast, then you have lost control.Note: all these laws are valid within Switzerland only.The book you are searching for has a friend who lives 200km away.Symbolix`s lifetime warranty has just expired.Updates are free - but you must come and get yours yourself.Once a code segment works, never touch it again, rather patch the toolbox. The larger a company, the less they care about paying their debts.(Bright Software pays immediately.)If you have a math exam, no problem. If you have one but they don`t allow HP48s, forget it.This program is fully system 5.0 compatible. Both have about the same bugs-per-line ratio.If you want pirated copies and pay the regular list price, call Toolbox.And if you see them somewhere, LET ME KNOW.Bugs in this program are absolutely normal. Most routines have been written between 0h and 3h AM.Sorry, we don`t support customers. Our programs are self-explaining.Murphy`s laws eat a lot of valuable memory.The worst invention of the software industry are tax counters in telecomm programs.Apple Inc. has not abandoned the IIGS. We have abandoned Apple.Except for its CPU, sound, graphic and peripherals, the GS is the most powerful machine.Don`t buy another computer - any computer will be discontinued.Virtual reality is one way to admit that you can`t manage reality.If you can`t manage reality, don`t take drugs. Become a programmer......because they are addicted and earn money by doing criminal things - legally!How many tekkno guys do you need to replace a bulb?Three. One installs the new bulb and two keep the beat.How many bureaucrats are needed to replace a bulb?500. One replaces the bulb and 499 write an environmental report.How many information scientists are needed to replace a bulb?All experiments with those guys failed...How do you know that an elephant is hidden underneath your bed?When you hit the ceiling with the nose, I`d check it out.ETH: Ihr habt die Rechnung ohne den Wirth gemacht...How many system administrators are needed to fix a blown light bulb?One. He only has to restrict the access privileges to this particular room. (Peter "Megamailer" Kunz)"Sure it updates the window. Just wait...[2 minutes later]...Look! It draws! It draws!" 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O8 0'K9 : :8D:>)$}I:2( 1::_#9:* -; 6 .:%} 3):6.J9 C:0 : ;J;#!e; B!&6.*8 7v/b< ); s< 5W;<:{+<34_ < 5)) 4)=@<"F)UUUU < <7=UW= *29 T,Aq>>>+?9??+@@?4=2A !A A Ad1 ?91@)BA >A0#A.BBBB*A B& =$h@$@0<B9B>1C?B &B F**A( C? C&C0CC<A9BdC0<0+yC?< t/LC?83C0C`DpD?qC?B0&0<->-D??CiB>4M@DEK!/?1EFDB 00#!'?DD B?EEE??ED?D<DEME??E<]EB @E?>FIFAFOFEE=FEE`F?{F=0EE/EBCE?FF?ZFFFFHGEPFDGG&G ND?H?yF?\H&GH&GE??<fFGH<HHyH'DEM0kNFgG aIpIDB//|G r4 ?<0<I,IjG?D=<gFE I5E /B|HC<1BE0^DFIFF'C>pJ4@(;GB'+AvJ *KE(BL1A@LLLLLL-DbR0SSSTX6I!KV) ~L/WVjB!VGm4 GLDKACWWDMW 0<0WD#EXbW~WWqXW:V W WX>k V W\!SK8]X[0DJ6K(V8DCfHI^?CDC&8B"WD^DJw^[V[?^_^0Y ??93_<_XZJ_[x[>Wj_N[0__ 8@X<<0_Y"]<,_$+_r_ [g`e$[ js]jMkbWAkd9-^^(kEcVklkk^$_ ^_ Vl c&dR&e$Pi`%v^`/lYl?0<000?W <00KE0?0m`X0);m"ac8Z[dZEc<<0<<<b ?<?6ns[&bn[mof(maincnzng@nTn?Z?X%b00[n{m mnD$i Vdain[ ?ngnuo3nY?J[[Zo l#D^"`0i[Keb][W0?0<3< key or ENTER button). %%C07F KEEP VARIABLES Normally Symbolix deletes all variables before loading a new file. Set this flag if you want to merge the current list of variables with the variables contained in the file.If a variable appears twice, the one from the file replaces the variable in the list. Related commands: Open %%C059 SHOW ALERT WINDOW Check this box to let Symbolix inform you that you are attempting dangerous operations (deleting files or variables). Clearing this flag supresses all alert windows. Related commands: Delete (variables), Delete file %%C00D UPDATE SCREEN DURING SYMBOLIC OPERATIONS This flag tells Symbolix whether to show intermediate steps of symbolic operations or final results only. This option is especially helpful when you want to duplicate the necessary steps to come to the result. Note that enabling this option slows down execution of all symbolic operations significantly. You should clear this flag when processing symbolic commands in the background (multitasking environment). This will eliminate annoying pauses in the active application. Related commands: Expand, Sort, Collect, Simplify %%C011 INSERT SPACES WHEN REWRITING FORMULA Check this box when you want to separate two objects in the formula with a space. Formulas are normally easier to read when this formatting aid is turned on. Read also the help text for the check box above. Related commands: Expand, Sort, Collect, Simplify, Check Syntax, Trig Conversions %%C012 "CHECK SYNTAX OF FORMULA" REWRITES FORMULA Cleared: "CHECK SYNTAX" (see menu FORMULA) parses formula, but leaves it as it is. Returns, tabs or spaces are not removed. Checked: "CHECK SYNTAX" parses and rewrites the formula. All unnecessary characters (Returns, tabs, spaces) are deleted. If you told "CHECK SYNTAX" to insert spaces, two functions will be separated by a single space (see also help text of check box below). Related commands: Check Syntax of Formula %%C010 EVALUATE CONSTANTS If this radio button is set, expressions with symbolic constants (like Pi, e or StdT) are evaluated to symbolic results. Related commands: Collect %%C00F EVALUATE CONSTANTS If this radio button is set, functions with symbolic constants (like Pi, e or StdT) are evaluated to numeric results. They are replaced by their numeric value and treated like any other number. Note that symbolic constants which are part of an expression that cant be evaluated to a numeric result arent changed. Related commands: Collect %%C0FE %%W000 FUNCTIONS Inserts a function in the formula or executes it. If this window is linked to the formula (you should see the name of the current formula below the buttons), clicking on any function inserts the functions descriptor at the insertion point into the formula. If Symbolix displays a small calculator icon at the bottom, pushing a button executes the command on the stack. All arguments must be located on the stack before issuing a function. You can find a detailed description of all functions at the beginning of the math formula table (see menu WINDOW). Block Protection Brackets [..] This special pair of brackets locks expression in a formula. Expressions in these brackets cannot be changed by Expand, Collect, and Simplify. Derive Pseudo-Function Please see help text of the menu command DERIVE for mor einformation about the der() function. Complex functions As soon as you check the box allow complex numbers in the Preferences, Symbolic calculates with complex numbers. Most scientific functions produce complex results which may differ from their real counterparts. Affected windows: Formula or Stack (target), functions (source), constants & variables (source) %%C03D %%C03E %%C03F %%C040 %%C041 %%C042 BUILT-IN CONSTANTS Inserts a constant in the formula or pushes it on the stack. If you can see a small calculator icon below the scientific functions, clicking on a constant pushes its value (a numeric approximation) onto the stack. If you can read the name of the current formula, clicking on a constant inserts the constants descriptor at the insertion point into the formula. If the switch in the window of functions connects this window with the stack, Affected windows: Formula or Stack %%C04A DEFINE VARIABLE The DEFINE button creates a new variable. You can specify the name and assign a value to the new variable. If a variable of the same name already exists, it will be deleted first. Affected: List of variables %%C001 LIST CONTROL This control shows a list of all currently defined variables. You can select a variable by simply clicking on its name. If you hold down shift while clicking on a second name, all variables between these two are selected. Clicking the mouse button while holding down OA selects or deselects individual variables. Double-clicking on a name inserts a variable in the formula or pushes its value onto level 1 of the stack, depending on which of the two modules is the target. (A calculator icon below the scientific functions says that the variable will be pushed onto the stack, the name of a formula means that Symbolix inserts the variable in the formula window.) Affected windows (when double-clicking): Formula or Stack %%C049 DELETE VARIABLE Removes a variable from the list of variables. Selecting a group of variables deletes all highlighted variables. (See help text of list control on how to select more than one variable.) Affected: List of variables Related flags: Show Alert Windows %%C0E4 %%C0E5 MATH ENGINE Symbolix currently supports two math engines: SANE and FPE (Floating Point Engine). SANE is an extraordinarily robust and stabile collection of math routines. It is reliable, very precise, and damn slow. [sorry] The FPE is a coprocessor card made by a company that went out of business some time ago. However, this card is quite popular and features a modern 68881 math chip. This processor does not support all features of the SANE (notably halts, most NaN types) and is less precise in some situations (when calculating trigonometric functions). Since Symbolix communicates directly with the FPE (not via toolbox patches), you will notice a dramatic increase in speed. Because the company could not provide us with technical support, Symbolix has to deal with FPE-generated synch problems. Though the program contains advanced code to fix such errors on the fly, we can not guarantee that the patches work on all possible configurations. If this check box is dimmed and you have installed a FPE, make sure that the slot is set to Your Card. Also inactivate any FPE software patches. They are neither needed nor compatible with newer system releases. %%C05E %%C05F %%C060 %%C061 %%C063 %%C064 %%C065 %%C066 %%C00E SET S.A.N.E ENVIRONMENT These switches let you modify the SANE environment. You can either change the default rounding direction or enable and disable certain halts. Note that changing the default rounding direction affects internal calculations as well. It is not recommended that you enable halts on inexact results because such halts may occur during internal conversion. Note: these switches are only meaningful when you are using the SANE kernel. %%C06C %%C06D %%C06E %%C06F %%C070 %%C071 %%C072 %%C073 %%C074 %%C075 %%C078 %%C079 %%C077 STACK COMMANDS Drop: clears level 1 (2->1). Duplicate: duplicates level 1 (1->1,2). Clear all: clears all levels (double-click!). (Complex mode only) Swap: switches level 1 and 2. Over: copies level 2 to level 1. (2,1->3,2 and 2->1) Pick: copies level n (n is in level 1) to level 1 ([1]->1). Up,Down: scrolls stack. STO,RCL: stores level 1 in a variable, or recalls a variable (variable must be highlighted). Enter: enters values. Last: gets copy of last argument. Re<>Im: swaps real/imaginary part of level 1. (Complex mode only) Complex mode: mark the check box allow complex numbers in the Preferences to activate the complex mode. Affected windows: Stack %%C090 EDIT LINE (REAL) Here you can enter values you want to push onto the stack. Upon entering them, press to process the input. For complex values, check the box allow complex number in the window Preferences. You will then see a second (imaginary) stack to the right. %%C091 EDIT LINE (IMAGINARY) Here you can enter the imaginary part of a complex value you want to push onto the stack. Upon entering them, press to copy the complex value to level 1. %%C08F STACK DISPLAY (IMAGINARY) Lines 1-6 show the content of the first six levels of the real stack. To copy a value to the edit line, simply click on the value youd like to edit. (The original value wont be changed.) For complex stacks, check the box allow complex number in the window Preferences. You will then see a second (imaginary) stack to the right. %%C07A %%C07B %%C07C %%C089 EVALUATE FORMULA Display result only: evaluates and shows result in window. Store in variable: evaluates formula and stores result in highlighted variable. To stack: evaluates formula and pushes result onto stack Store in variable and loop: same as second button, but repeats this process until the Apple key is pushed. Evaluating recurrence formulae (last option) can be done in the background. Press Command-Control-Tab to put Symbolix into the background. %%C080 ALLOW COMPLEX NUMBERS Cleared: Symbolix calculates with real values only. Checked: the stack has a real and an imaginary part, and the formula module accepts complex expressions. Affected functions: all except for CEIL, FLOOR, IP, FP, MOD, RAN, FAC %%C00A TRIGONOMETRICAL CONVERSIONS - SINE Replaces SIN(X) with TAN(X)*COS(X) [COS TAN] or TAN(X)/(sign*SQRT(1+SQ(TAN(X)))) [TAN]. %%C006 TRIGONOMETRICAL CONVERSIONS - COSINE Replaces COS(X) with SIN(X)/TAN(X) [SIN TAN] or 1/(sign*SQRT(1+SQ(TAN(X)))) [TAN]. %%C004 TRIGONOMETRICAL CONVERSIONS - TANGENT Replaces TAN(X) with SIN(X)/COS(X) [SIN COS] or SIN(X)/(sign*SQRT(1-SQ(SIN(x)))) [SIN]. %%C04D TRIGONOMETRICAL CONVERSIONS - COTANGENT Replaces COT(X) with 1/TAN(X). %%C04F TRIGONOMETRICAL CONVERSIONS - SINE Replaces SIN(A+B) with SIN(A)*COS(B)+COS(A)*SIN(B). %%C050 TRIGONOMETRICAL CONVERSIONS - COSINE Replaces COS(A+B) with COS(A)*COS(B)-SIN(A)*SIN(B). %%C051 TRIGONOMETRICAL CONVERSIONS - TANGENT Replaces TAN(A+B) with (TAN(A)+TAN(B))/(1-TAN(A)*TAN(B)). %%C052 TRIGONOMETRICAL CONVERSIONS - COTANGENT Replaces COT(A+B) with (COT(A)*COT(B)+1)/(COT(B)-COT(A)). %%C088 LOAD STACK This button loads a stack file from a disk. Note that the previous contents are deleted. %%C087 SAVE STACK This button saves the entire stack to a disk. Symbolix always saves the imaginary stack, even when youre not in complex mode. %%M182 DISPLAY MODES This menu command opens a window. Click on a control in this window for more information. %%M183 SYSTEM This menu command opens a window that displays some information on the Symbolix version youre using. Available memory is also shown. %%M171 DERIVE This menu command scans the current formula for der()-functions and derives the expressions. Note that the functions IP, FP, MOD, CEILING, FLOOR, and FAC cannot be derived (for mathematical reasons), and Symbolix displays an alert box if you try to derive them. The syntax of the derive-function is der(var : expressions) var is an existing variable (it must appear in the list), and expression is an algebraic expression. Example: der(x: SIN(x)^(y) ) der() works with complex arguments. %%M108 SHUT DOWN EXTENSIONS Use this command to close down all extensions. If an extension is causing problems, select this menu item to "kill" it. Note that this command closes all extensions. Thus you have to re-open them if necessary. Some extensions shut down themselves upon quitting. To see whether an extension is still in memory or not, open the Extensions menu. If its menu item is marked, the extension is still active. %%M173 DERIVE ALL This menu command derives the entire formula. If you have entered an equation, Symbolix will derive both sides separately. IMPORTANT: before selecting this command, you must highlight the independent variable in the list. See help text of the DERIVE command for more information. %%M172 ELIMINATE (..) This menu command scans the current formula for unnecessary parentheses. It is a subcommand of SIMPLIFY and thus much faster. %%M165 2D GRAPH WINDOW This menu command opens the graph window. Symbolix uses the current formula for calculating the graph. Note that you can have only one graph in memory per formula. If you want to have several graphs of the same formula in memory, you must copy the formula into new documents (by using the NEW command). The graph window has an information bar, and clicking on it opens the graph menu with several menu commands. Many functions require a valid selection in the graph. To select a portion or x-coordinate of the graph, move the cursor to the upper left corner, hold down the mouse button, and then move the arrow to the lower right corner. %%M176 3D GRAPH WINDOW This menu command opens the 3D graph window. Clicking inside this window (in the content region) opens a pop-up menu where you can find commands for saving, exportin !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~g, printing, and purging graphs. (Note: you cannot access this menu if theres no graph in memory.) %%M141 3D CONTROL WINDOW This menu command opens the 3D control window. It allows you to calculate graphs of the form Y=F(X,Y) using the current formula. To learn more about the different controls, activate the help mode again, then push them. All three main commands (PLOT, AUTOSCALE, APPLY) support multitasking. Press Command-Control-Tab to calculate new graphs in the background. %%M162 CLOSE This menu command closes the current formula by freeing all memory blocks that belong to this formula. If you want to keep the graph in the graph window, save the picture to disk before closing the formula, or copy-and-paste it into another program via the clipboard. %%M161 NEW This menu command creates a new formula. At the same time, Symbolix allocates memory for one graph. You can have up to eight documents in memory. %%M101 QUIT Leaves this fantastic program. Under normal circumstances youll never have to execute this command. And if you do, let us know why you did...:) PS: did you return the registration card? Nooo? %%M10A CHECK SYNTAX OF FORMULA Check Syntax parses the formula and displays a message if it finds an error. Use this command when you want to test whether Symbolix accepts the formula in this form or not. Frequent errors are: undefined variables, misspelled functions (lowercase), bad nest calls (file not found). And dont forget: exponents have to be enclosed into parentheses! Related flags: Check Syntax Rewrites Formula, Insert Spaces when Rewriting Formula %%M10B EXPAND Expand rewrites an algebraic expression by expanding all products and powers. Normally, the resulting expression is longer but easier to read because most parentheses have been eliminated. EXPAND is multitasking compatible. Press Command-Control-Tab to expand a formula in the background. Its highly recommended to turn off screen updates (Update screen in the Preferences). Related flags: Update Screen, Insert Spaces %%M136 SORT Sorts terms of a sum. Coefficients are placed at the beginning of a sum and followed by built-in constants and variables. Always use this command before collecting a formula. %%M100 Hello World! Symbolix the first and only math program for symbolic & numeric math Copyright 1990-93 by Bright Software Switzerland Copyright 1994 by Henrik Gudat All rights reserved. Thanks to BrainStorm for reincarnating the Apple II spirit in Europe. The Golden Age is not yet over. Aurea prima... Sorry for stealing your Eastern Egg, BrainStorm. But I really liked it. More thanks go to: Joe, Andre, Dave Hecker and ... why dont you start the Credits extension? For more information on Symbolix or The Manager: Synergetix Henrik Gudat Missionsstr. 38 4055 Basel Switzerland voice +4161 3228220 (Mo-Fr 10-18 CET) online support gudat@avalon.unizh.ch or gudath@ezinfo.vmsmail.ethz.ch Watch out for our new memory utlity MultiView II... (bundled with Seven Hills' The Manager 1.1 and higher) %%M107 COLLECT Simplifies an algebraic expression by collecting like terms. The resulting expression is shorter but has more parentheses. It reverses the result of the EXPAND command. COLLECT is multitasking compatible. Press Command-Control-Tab to collect a formula in the background. Its highly recommended to turn off screen updates (Update screen in the Preferences). Related flags: Insert Spaces, Update Screen, Evaluate Constants To ... %%M105 SAVE AS... Saves the formula and the list of variables under a name specified by you. %%M104 SAVE Saves the formula under the last name. %%M103 OPEN Loads an equation file into memory and moves the old formula to the undo buffer. Pressing Command-Z toggles between the new and the old formula. Related flags: Keep Variables %%M13A MERGE VARIABLES Merges a variable segment of an equation file with the current list of variables. If a variable already exists in the list, itll be replaced with the variable of the equation file. %%M13B INSERT FORMULA Inserts a formula from a disk at the insertion point in the formula window. This command does not affect the list of variables. %%M13C DELETE FILE Deletes an equation, graph, or stack file from disk. Related flags: Show Alert Windows %%M0FA UNDO Undoes the work of a command from the RULES menu by exchanging the formula in the formula window with the one in the undo buffer. Selecting this item twice restores the original state. %%M139 SELECT ALL Highlights the entire formula in the formula window. Attention: certain commands (Cut, Copy, Paste, Clear) from the EDIT menu will work with the foremost window only! %%M13D 2D CONTROL GRAPH Opens the 2D control window. Please note that you have to select an independent variable from the list of variables (simply highlight a variable) before pressing PLOT or AUTOSCALING. Many functions for graph analysis can be chosen in the graph menu that appears when you click the information bar of the graph window. %%M142 SIMPLIFY Simplifies an algebraic expression by removing unnecessary parentheses and replacing complex expressions with their simpler equivalent. SIMPLIFY is multitasking compatible. Press Command-Control-Tab to simplify a formula in the background. Its highly recommended to turn off screen updates (Update screen in the Preferences) before putting Symbolix into the background. Related flags: Update Screen %%M102 SETUP Shows the printer setup dialog box. (Use the Control Panel NDA to select a printer) If youre trying to print without having gone trough the printer setup dialog box at least once, Symbolix will display this screen automatically. %%M144 OPEN 3D GRAPH... Opens a 3D graph file that has been saved in Symbolixs own file format. After loading it, press APPLY in the 3D control window to make the graph appear. Note that pressing PLOT or AUTOSCALING will calculate a new graph from the current formula and overwrites the data you have loaded into memory. You cannot change the resolution of a previously loaded graph. %%M146 OPEN GRAPH Loads a previously saved graph and links it to the current formula. %%M14B SELECTION TO STACK Converts a highlighted string from a text window (formula, formula table, or scrapbook) into a number and stores it in level 1 of the stack. If the selected text doesnt start with a number, this command does nothing. %%M14C STACK TO FORMULA Converts the value in level 1 of the calculator to a string and inserts it at the insertion point into the formula window. When being in complex mode, Symbolix packs both parts, real and imaginary part, into parentheses. %%M14E SOLVE Execute this command to find roots. Enter a starting value (one that is close to a root), then press either Solve or Loop. The latter command calculates an approximation, uses it as a new starting value and calculates the next one. Press the Apple key to stop this loop. TO STACK copies the last result to the calculator. Cancels gets you back to the desktop. %%M14F ADD VARIABLE Use this function to quickly define a new variable. Instead of pressing DEFINE in the window of constants&variables, highlight the variable in the formula and choose ADD VARIABLE. Spaces are substituted with underline characters. %%M152 SOUND Turns the bell on or off. If enabled, Symbolix will sound a bell as soon as a time-intensive operation is finished. The sample Symbolix will play can be set in the Sound CDev (Control Panel NDA). The program uses the Task Complete sound. The audio signal is especially helpful when working in a multitasking enironment. With sound enabled, youll know immediately when Symbolix has finished a background task. %%M157 SORT BEFORE SIMPLIFY If this menu command is checked, Symbolix will sort the formula before it calls the simplify module. The command is then a little bit slower but much more efficient. %%M153 INTEGRATE Numerically integrates a formula. Simply enter the interval, then the accuracy which determines how many data points have to be calculated (data points = accuracy * 6). The higher the value, the longer it takes to calculate. Choosing a small integer (min. 0) results in a lower precision. Press either INTEGRATE or AREA. Symbolix will calculate the integral or the area and display the result in the window. It then automatically increments accuracy by one and calculates the next integral or area. You can press the Apple key at any time to stop this loop. Click on TO STACK to move the result from the window to the calculator. You can then use this value for further calculations. %%M154 HELP After having selected HELP from the Apple menu, choose an item (a menu, button, or whatever) you want to know more about. You can also click the blue i icon to the left of this text to activate Symbolixs onine help. While help is active, this window is not visible. %%M159 CLOSE FRONT WINDOW This menu item closes the active window. It has the same effect as clicking the close box of a window. %%M130 FORMULA Hides or shows the formula window. %%M131 FUNCTIONS Hides or shows the functions window. %%M132 VARIABLES & CONSTANTS Hides or shows the window with all built-in constants and the list of variables. %%M138 STACK Hides or shows the stack window (the calculator). %%M14A MATHEMATICS Hides or shows the math formula table. If the formula tables do not appear in the window, make sure tht you have copied the file GSHelp.Math from the original program disk. %%M149 GEOMETRY Hides or shows the formula table for geometry. If the formula tables do not appear in the window, make sure tht you have copied the file GSHelp.Geo from the original program disk. %%M148 ELEMENTS Hides or shows the list of elements. The list is sorted alphabetically. The units of the different properties are located at the beginning of the formula table. Dont forget to take a look at the periodic system (Period.System) extension!! %%M14D SCRAPBOOK Hides or shows the scrapbook. There you can store anything you like (formulas, notes, constants...). The scrapbook is saved to disk whenever you quit this program, and loaded from the disk when you start up Symbolix again. %%M135 EVALUATE Shows the EVALUATE window. %%M134 PREFERENCES Shows the PREFERENCES window. %%M137 TRIGONOMETRICAL CONVERSIONS Shows the TRIG CONVERSIONS window. Open this window and push the button you want to know more about. %%M155 PRINT FORMULA This menu command sends the formula to the printer. The formula will be printed like a document in a word processor. Symbolix doesnt parse the formula, so you can insert any text you like into the formula (for example the name of the function). %%M156 SET FONT Changes the current font of the formula. Be careful when choosing a new font because some fonts dont have all the special character like pi, the root and so on. We recommend you only change the font before printing the formula. Notice also that the standard font (Shaston 8 point) can be displayed much faster than any other font. %%C100 SUPPORT MULTITASKING If you have installed The Manager, you might want to process several commands in the background. By checking this box youre telling Symbolix to operate in the background when pressing the combination Apple-Control-Tab (hold the keys down until the menu bar changes). This key sequence activates the Finder from where you can launch another application. When Symbolix has completed a task, youll hear a sound. (The sample can be set in the Sound CDev. Link it to the system event Task complete.) Upon returning to Symbolix, the result of the command is displayed. Tip: before executing a multitasking compatible command, check the settings in the Managers menu to the far left (Hide Me when Im not selected). Once youve started a command, you cannot change the state of this flag. Note: background processes take longer, especially when several applications that use multitasking are running. If you want to shorten the execution time of one of Symbolixs multitaskable commands, ... activate Symbolix again make sure the check box below (intensive background tasks) is checked If you want that Symbolix is running exclusively in the foreground, clear this check box. Youll notice a slight increase in execution speed whether you have installed The Manager or not. The Manager is a third-party product from Seven Hills Software Corp. and BrainStorm, France. We have tested all of our desktop based applications with this MultiFinder and can wholeheartedly recommend it. %%C106 INTENSIVE BACKGROUND TASKS Check this option when you have an accelerated computer or need the result of an operation very soon. Symbolix will process larger packets when working in the background. %%M13E HIDE MENU BAR Removes the menu bar allowing you to have slightly more desktop space. To redraw the menu bar, press Command-#. %%M16F MOVE WINDOW This command moves windows on the desktop, even if they dont have a title bar. The cursor will first change to a hand. Then click the window youd like to move and hold down the mouse button while moving the window. %%C107 CLOSE WINDOWS AUTOMATICALLY This option has been added for users of The Manager. When calculating graphs (2D and 3D) in the background, you normally have the control windows still open. They slow down screen updates and cant be closed while Symbolix is calculating a graph. If this box is checked, Symbolix closes the active control window (2D/3D Graph Control) immediately when you press APPLY (3D only), AUTOSCALE, or PLOT. Except for the small status window in the lower left corner, the whole desktop can be used by other applications. %%C0EA QUALITY (2D) Change the resolution (data points per graph) with this scroll bar. Unlike 3D graphs, 2D graphs look good in most cases even at low resolution. %%C0EC TRUE PROPORTION Eliminates vertical distortion when autoscaling 2D graphs. Graphs will show on the printed page the correct angles/ratios. Note: True Proportion works only when the two check boxes Double height (above) and Double vertical size (print dialog box) are both either cleared or checked. %%C0ED %%C0EE VERTICAL ALIGNMENT Because graphs with 1:1 x/y-ratio do not fill the entire window (in virtually all cases), you can specify where Symbolix should align the graph. %% ## EOFdow (in virtually all cases), you can specify where Symbolix should align the graph. %% ## EOFMT$ ODDDDODDO NDDDNDNfnfffnp2 2 222OODOGOODOOODGDG|O|O||DOO|||O|||O|||OOD||GO| YZ^_`acdef@UndoP D??DODODOD?DDDDH P OOODDDDDDDDOOOH OOP P DOODDO@DD@D@@DDOODDOP P P OOOODDH ODODDP DDDOOOH dO`DfO`O???ODODDDDDDDDDDODO???ADODDDDODODO03A30D33O333DDDDDDDODODODOODOODNNNNNNDDDNNNN4>K2<?2~<>0 =d=#-<! .d;#~-:9 ~8 d7 | U &/5GtQ4xv$2v 1&<0/ 43@459>Fz =P>,$?R|%@*T& Az0'B( E,51Fdp* H5?3 File Edit Cut-X X&XXX DDDDDDD |||||||||| L||||LDD|D||D t|D|t ||||||||||DDDDD|| DD||DDD|DD|| |||||||||||||||| L|||||||L|| DD|D|DD||D|Dt|||||D|t|| |||||||||||||||| DD||DDD||||| DDDDDDDDDD|||||||||||||||||L|||||||L|DD|||D|||DDtD||DD|t||||||||||||||||D|DDD||| OODOODGLDtO|t|tOGG||GGGGGGG|GGG|tODODGDDGDODD||OOOOOOOOO|OOOOOODGOOOOD|OOOOOO||OOOOOOOOO|DDGDDDDDDD|||||||||L||||||DD||t||tt|||||||||||||||||D|DDDDDDD?DDD?|||||DDO?||||DG||||tDD|||||||||D||DDDDDODDD=?OO=?ODOLDGOODLOOODDDDDOOO||||||OGOO||||DODt||DDOLOO|D||?OOO||||||OODD||DD??????<<p ]h>p 4 lines linesm iaC 5 lines <(0 1990-1993 Bright Software 1994 Henrik Gudat SYNERGETIX H. Gudat Missionsstr. 38 4055 Basel Switzerland e-mail gudat@avalon.unizh.ch Symbolix. The Simple Solution to Complex Math. le Solution to Complex Math. le Solution to Complex Math. 2 lines linesP 4 lines linesy grid QHelp ...PQJLRFCBx min x maxGItem 1ECEG Pop-up 3 lines wa 3 lines skip 1 unit0JLRFCBy min y max .JLRFCB min maxJLRFCB Units X~jhifgXc@nkml Print ... Solve ...T)Save ... (SHR format)Save ... (QuickDraw PICT)Evaluate ...JLRFCBx unit y unit / Ug0 Save ... (QuickDraw PICT)Display Format ...Choose Display Font ... Integrate ...Plot 2D Graph ...Plot 3D Graph ...Preferences ...Set Font ...Trig conversions ... Welcome to Symbolix, the ultimate math program! Copyright 1990-94 by Henrik Gudat Customer support: H. Gudat Missionsstr. 38 4055 Basel Switzerland InterNet: gudat@avalon.unizh.ch gudat@avalon.physik.unizh.ch SYMBOLIX (C) 1990-93 Bright Software (C) 1994 H. Gudat written by Henrik Gudat Could not load elements. Make sure all GShelp files are in the program directory. SYMBOLIX (C) 1990-93 Bright Software (C) 1994 H. Gudat written by Henrik Gudat Could not load math tables. Make sure all GShelp files are in the program directory. SYMBOLIX (C) 1990-93 Bright Software (C) 1994 H. Gudat written by Henrik Gudat Could not load formulas. Make sure all GShelp files are in the program directory.JLRFCBEureka! Symbolix 1.9 interim release The Manager FPE compatibleODGGDG?GGDDDODGDDDG?OGDDGGDG?OGDDGGDG?OGDDGGDG?GGDDGDDG?DGDDGDGG?DDODDDDDODODDDDDODDDGGDDOG?DDDODDDDD|DDDDDDODDGDDODDDGGDDDG?DDDDDOODtDDDDDOGGDDODODGDDDOG?DDDODODGDGDDDODDOGGGDDGG?DDDGGDODODDDDODODODOGDDDG?DDDGGDDDDDDODODtGDDDG?DDDDDDDDD|DGDODGGDDDG?DDDDDDDD|DGDODOGGDG?ODDDDDDD|DGDOGGODG?ODDODDDDD|DGDODGOG?GDOODDDDD|DGDODGOG?DLDDDDDDODOODOGOG?DDDDDDDDODODODGGOG?DOODDDDDGODDODGOGGG?DDODDDDDOOGDDODDGODGG?GDDDGDDDDDD|DDDDGDDDDtDGDDGDDGODDDDG?DOGDDDDDDDDDDDDtDGDDGDDGDGDDG?O?OO???D?D0??DD<<00?DG00?DG?0???0<0?l0->2 @ H =F<GP6QZ4rL >G.>4G 2= 2<3<@>G> G>O. J????.JFO JSO JS! )2A" s`<<<< hsN0000Paste 8/;Hp;Hp 0 S`F0++ SD`x0-- Sv`0** S`0// FpFpx4 $ (g| 2'.#y(2[d Rules Extensions View Formula Windows ClearAbout Eureka! Symbolix...Quit Page SetupOpen Formula...Save Save As...Revert to savedCollectShutdown ExtensionsMath DisplayCheck Syntax ExpandNew ItemSINCOSTANlnblogEXPy^xATANSQRTSECCSECCOTASINACOSSINHCOSHTANHASINHACOSHATANHSINCOSTANASINACOSATANSINHCOSHTANHSECCSECCOTk: BoltzmannVm: molar volumeR: universal gasStdT: stand. temperatureStdP: standard pressurec: speed of lightE0: permittivityu0: permeabilityg: accel. of gravityG: gravitationh: Planck's consthbar: Dirac's constq: electronic chargeme: electron massqme: q/me ratiomp: proton massmpme: mp/me ratioalpha: fine structure F: FaradayRb: Rydberga0: Bohr radiusuB: Bohr magnetonuN: nuclear magnetonph0: photon wavelengthf0: photon frequencyCoL: Compton wavelength rad: 1 radianc3: Wien's constkq: k/q E0q: E0/q qE0: q*E0esi: dielectric constEox: SiO2 dielectric con. I0: ref intensityHide FormulaHide FunctionsHide Constants/Variables NA: Avogadro's numberPreferencesEvaluateSortTrig conversions Show StackSelect All Merge Variables Insert FormulaDelete File Plot 2D Graph--- Plot 3D GraphSimplify-Open 3D Graph...-Open 2D Graph...-ElementsGeometryMathematicsSelection To StackStack To FormulaNotebookSolveAdd Variable--Sound IntegrateHelp Print FormulaSet FontSort Before Simplify-Close Front Windownot definednot definednot definednot definednot definednot definednot definedNewClose- Rename...2D Graph DisplayZoom with Autoscaling Zoom Manually Show SlopeShow Coordinates Show Range Save GraphPurge GraphPrint GraphCopy Graph to ClipboardMove Window-DeriveEliminate ((..)) Derive All--3D Graph DisplayExport Graph (QuickDraw PICT)Print GraphCopy Graph to ClipboardPurge Graph--Save Graph (GSymbolix format)Choose Display Font... Font SizesLoad Bar...Save Bar...Display Format System...Isolate Hide Menu Bar Functions LNBLOGEXPy^xSQRTSQIPFPRANLOGALOGCEILFLOORFACNEGABSSIGNXROOTINV+-+-*/(...)MODButtonConstants: NA: Avogadro's numberPie2Pi+INF-INF0 Edit Line FN(X)= VarDeleteDefine..'Check Syntax' rewrites formula$Insert spaces when rewriting formulato symbolic resultsEvaluate to numbers Symbolix Preferences Inexact Update screen Trigonometrical Conversions SinusCOS TANTANSIN TANCosinusTANTangentSIN COSSIN Check box CotangentTAN SIN( A+B ) COS( A+B ) TAN( A+B ) COT( A+B )-Show alert window before deleting variable(s)Show alert windowsAuto-route keystrokes To-nearestUpwardToward-zeroDownwardDivide-by-zeroOverflow UnderflowInvalidASINHACOSHATANHSwapOverDUP2DUPDropSTORCLRe<>ImUpDown0LastClearEnter Evaluate Display result onlyTo varTo variable, loopKeep variablesAllow complex numbers Elements Place holder Mathematics Notebook Geometry &Don't clear edit lines in stack windowSaveLoadTo stack Pop-up not defined 2D Graph Pop-up Find next root[...]= Stack 00Enterder+-*/ 3D Control -1010-1010-11hidden lines draw axes draw lines color fillPlotAutoscalingApplyColorsX var:Y var: Pop-up Export Graph (SHR format) draw grid 2D Control 3-36-6 Draw linesDraw labelsAutoscalingPlot Lock graph Check boxChoose font Double height Display Format 61046ENGENGENGENGFixedSCIAutoFixedSCIAutoFixedSCIAutoFixedSCIAutoApply Settings Title 0 Pop-up Item 1SANEFPEDSP Check box(x,y)(phi,r)true proportionsalign bottom align topColorsOptions3.141590!support The Manager multitasking Help intensive background tasksClose windows automatically 3D Graph TaFDb:;<U9KLqs6rB7RW ~ 5NS=AO4V"3 !"#$%&'()*+,-./ 0128evJIHMoY> z`_^]\[Zd~fghijknml}yxwz @|{#Zz@XxCcVvQqOoSs@@Ll@B B !! Ee . # p$ t% 2t;?&456789:;<=>? @!A"B#C$D%E&F'G(H)I*J+K,L-M.N/O011P122Q233R3S4PpT599U6RrV7Tt@W844X9Aa@Y:Z;[<@\=Gg]>##A@aBYybDdFfH77hI66iJ55jK>>kL<<@lM88@mN==nO++oRrSIi@sT??tU@uVFfvWwYWw@yZz[{\|]}^~_`aNnbKkdefg@h|ijklm@noMmqDdr((s@v@wx@yz}~@IiJLRFCDDBGeneral settings...FCBJLRFCUUB Value: FCUUBJLRFCUUBUnit/i:JLRFCUUBVars:FCUUBJLRFCDDBPreferencesJLRFCBReplace...FCDDBJLRFCB...withJLRFCBExpand...FCDDBJLRFCBTransform...FCDDBJLRFCDDBSANE environment...FCBJLRFCBRounding directionJLRFCBHalts enabledJLRFCBleft: +i right: +i loops:FCBJLRFCB(OA: Stop, Option: Pause)JLRFCDDB*0 FCB*1*2FCDDB FCBJLRFCDDB6| 5| 4| 3| 2| 1|JLRFCUUB6i| 5i| 4i| 3i| 2i| 1i|FCUUBJLRFCDDBx min x max y min y max z min z maxFCDDBJLRFCDDBResolution FCB( x )JLRFCBphi= theta= JLRFCDDB+ Perspective -FCDDBJLRFCBx min x maxFCBJLRFCBy min y maxJLRFCBcolor of left side: aFCBJLRFCBcolor of right side:JLRFCBcolor of axes:JLRFCBStack Formula Graph OtherJLRFCBProgram version: Revision: Min. system: Free memory: Largest block: RUBASYS interpreter: RUBASYS data: ALPAREC system: Evaluation module: Derive: 2D graph: 3D graph: Solver: Integrate: String formatter 1.7+:FCBJLRFCB1.80 d87 GS/OS 6.0 V18.0 V7.0 V21.0 V2.1i V1.2 V4.5 V2.0 V1.1 V1.0 V1.0JLRFCB_________________ JLRFCBquality:JLRFCB Options FCBJLRFCB Colors FCBJLRFCB Graph FCBJLRFCB Generic Settings JLRFCB Math Engine Defaults JLRFCDDBRounding direction:FCBJLRFCDDBHalts: Engine:FCBJLRFCBPlease wait...Stat textPX22d Pmz P Pc P'h P|PXP P\4 P}z| P} b &f P()N Pus$| Ptn| Ps n| Pq | Pj: Pl P6w P3f P+X~, 'w|L P P@`@@N@GSHelp.3 HelpText PrefWindow 2D controlRect2DCont2PrefRec1PrefRec2 Apple pStringFile pStringEdit pStringUndo pStringCut pStringCopy pString Paste pString Clear pString Close pString About pStringQuit pStringNew pStringOpen pStringSave pStringSaveAs pStringRevert pStringApplication Menu Bar Apple Menu File Menu Edit Menu RulesMenu ExtensionsMathDisplayOptionsMenu Constants WindowMenuMENUITEM_000000F9Undo Menu Item Cut Menu ItemCopy Menu ItemPaste Menu ItemClear Menu ItemClose Menu ItemAbout Menu ItemQuit Menu Item New Menu ItemOpen Menu ItemSave Menu ItemSaveAs Menu ItemRevert Menu ItemCollect CheckSyntaxExpand4Preferences3DGraphSystemDisplayFormats 2DControl ButtonBar WaitWindow 3DControlStackContent2DGraph PhysWindowUserFormulaTables2 FormularyWind EvalWindowWelcome TrigWindowPrefsWindowFNWindowConstWindowFunctionsWindowTool Startup TableMenu Bar names Menu Item names Menu Names AlertNamesTool Table namesWindowNames pString namesrName names&SyntaxErrorBracketMatchNoSenseBufferError DeletVars UCnstFullVarListFull SANEerrors ParenError MemoryErrorOpCancelVarListMerge ReallyClose?SelVarFirstIncludeErr1IncludeGSOSEmptyInclude SyntaxIncludeSenseInclude IndepErrorPrintErr HelpsNotFound CancelUserLibErrAskDelFNMemErrClipboardErrPurgeGraph? GraphAllocErr WrongDerivate CannotDerive!derError" InterValErr3D# IndepVar3D$GraphMemErr%NoAboutSorry& PressApply'FPEerror54~Syntax error. Please rewrite formula at the highlighted place.~^#154~Error: number of open and closed brackets does not match.~^#154~Error: sense of expression not clear.~^#152~Buffer too small to hold entire formula.~^#152~Do really want to delete the variables ?~#2~^#354~Table of numeric constants full. Operation aborted.~^#152~List of variables is full. Delete a variable first.~^#152~SANE error: *0~^#654~Buffer can hold 127 nested parentheses only.~^#152~Could not allocate enough memory to start GSymbolix.~^#552~Buffer overflow: could not expand formula.~^#154~End of list of variables reached during merge operation.~^#144~Do really want to close the formula and purge its graph? This command cannot be undone...~^#1~Close53~You must select an independent variable before executing this command.~^#152~Buffer too small to include "*0".~^#152~GS/OS was unable to load the file "*0".~^#152~"*0" is an empty file.~^#152~Syntax error. (Last file included was "*0")~^#154~Error: sense of expression not clear. ("*0" last file included)~^#152~You must specify the independent variable first (one for 2D, two for 3D plot).~^#154~GSymbolix was unable to print the screen.~^#153~Could not find GSymbolix help files.~^#652~Operation cancelled by user. (Note: formula may be corrupted)~^#153~Select two independent variables before executing this command.~^#152~Do you really want to delete this file?~^#3~#252~There is not enough memory to open a new formula.~^#154~The graph could not be copied to the clipboard.~^#153~Do you really want to purge the current graph?~#2~^#353~Could not allocate memory for graph. File not loaded.~^#162~der() function is not of the form der(var:expression), or independent variable hasnt been defined yet..~^#142~der() error: cannot derive MOD, CEILING, FLOOR, FAC, IP, FP, or SIGN. (Use Block Protection to skip function, i.e. [der(var:....)])~^#172~The formula contains one or more der()-functions and thus cannot be evaluated. Press CANCEL to abort, or DERIVE to differentiate the expressions and execute the command again.~ Derive ~^#182~The range parameters are not valid. Please make sure that... you have entered valid numbers you did not specify empty intervals~^#183~You must select two variables before pushing PLOT/AUTOSCALING. (To do this, highlight the independent variable for the X axis in the list, then press X var: in the 3D control window. Repeat this step for the Y axis.)~^#174~Memory Manager error: the 3D graph could not be plotted. (Plot graph at lower resolution and/or inactivate inits and desk accessories.)~^#190~There's not enough memory available to run the About... command. (ca. 200kB are required.) Please remove graphs (select PURGE GRAPH), extensions (select SHUT DOWN), and large inits/desk accessories. 1990-93 by Bright Software Switzerland, P.O. Box 18, CH-4153 Reinach 2 written by Henrik Byte Splitter Gudat~^ I will buy more memory 63~The 3D graph has been loaded. Please press the APPLY button (in the 3D Control window) to view it.~^#674~REGMEM error: the Floating Point Engine seems to be confused... (If the problem develops, disable the FPE tools in the window "Preferences".)~^#654~MEMREG error: the Floating Point Engine did not respond...~^#2 SYMBOLIX (C) 1993 Bright Software written by Henrik Gudat Could not load elements. Make sure all GShelp files are in the program directory. Symbolix (C) Bright Software 1993 written by Henrik Gudat Could not load math tables. Make sure all GShelp files are in the program directory.Welcome to GSymbolix, the ultimate math program! Copyright 1992 by Henrik Gudat / Bright Software Switzerland Customer support: P.O. Box 18, 4153 Reinach 2, Switzerland InterNet: gudat@avalon.physik.unizh.ch Symbolix (C) Bright Software 1993 written by Henrik Gudat Could not load formulas. Make sure all GShelp files are in the program directory.Symbolix online help Please select a function, command or object you want to know more about. Eureka! Symbolix DSP#(C) '92 Bright Software Switzerland 1990-1993 Bright Software Switzerland written by Henrik Gudat customer support: P.O. Box 18, 4153 Reinach 2, Switzerland InterNet gudat@avalon.physik.ch Symbolix. The Simple Solution to Complex Math.= Symboli*TB!Eureka! Symbolix formula documentEUC"Eureka! Symbolix 3D graph documentEbC"Eureka! Symbolix extensions folder EXTENSIONS T[) JLRFCBEureka! Symbolix 1.8 interim release The Manager FPE compatibleFCB Jc**JLRFCBEureka! Symbolix 1.8 interim release Congratulations, you have installed The Manager!JLRFCB(Shift: Stop Option: Pause)FCBJLRFCBSymbolix 1.8! Wow, youve installed The Manager! Many thanks to Dave Hecker for his valuable support...FCBM DT XY l] a k q y \ 4 H "p $ 8)8( Q8 k8B 82ĩ 8:ة 8L +8"` M82t Ԩ 8B [ 2 6 & < ( % 3 P A8 O8 ]8d k8ܪ y8x 8Ȫ/0123 g<.<<0<.<?????????????H] w( \ # l YUaU\U@ a $ ]$=<bJh $K rrgۼgZۻ˼ ۸ ˻W ˸0 M/ !(! !!?!(!""]!R ! "۽˻ٻ˻ S" "˻ۻ˻ɼ˙" "J!G!#!˻۸˻۹˽˼ܻNn!#˻ۻ#ۿN# ˼ۻ˽ۻܻȻ. O"$'˽˻ȼ#I#p%ۋˋۼ˼##ɻ% ۻ!Y&۽ș˻˼L&\'ۋ # %S&ۻɻ۽%P'&v(#% ͼ˻( ɻ˻ݻT "( #m$C('ػ˻˻M/%&'뜻*('_)A#)"H!)B")Z*ܘ`)f)˻^ٻ˻%%n& 7*08)̹!H%%.#)ۛ˻˻++"Z*\dDݶla)-#*˻'d+ɛA";x+ܳ8'!#˻˻ۼ ˻ɻ'˽˛̆fMB,˂R*cI*, ~ ˼'+R+ȹ#&r$2+F* ܖ!]) o,,3,**-ܻl$q)++Ȼ̻+ɉ+b3+D,-.- ȸ˿+(,Q++0-`<+?Flr.-g-.!V-@x-#t/DL+K1'//*2D.'hB)L4/5/t+DcD,4Lu01)˜0,͔ 0 0 0DK@0 &0Dk,/. c*kI @011iO1=x1u0].F 2,-$2˶1U2V1 F$˼B22 }3ĉ*܀D$*<3ɻͳ9;)DDb@0@)O(3fk!9*3$2 <+"+۔HAL 554 54/X4 _5C6U3F .i4 65̆i55 o&3̸d4ۻe$C5܋+5̼+ܻC5 31/l 6ˀ*aB6̶, 15 ݹK X4Kݹ m̻.q)G!mDD3̂*c5˻/˙Dۙ0 8,\6 ̙δ5!ANCK4k˻6%C6˹id ".c@6dD!CI6ݻffA˔ +| ̼i|5hnC0(DDl+77 ˖@ t+a!."d2kƼD3ː67 ˙f1*%i̸HDik,6˙6 ܖ06̔w6̴[7̼dffd0A9,@8DFk˸d 7F7ټDD"I7ɛوc8)D07̑k80l7BHD̻@C15 ADhdD7dl*9ik9#4k)ԋ*9˼,0./D9AB6܈+W9 2ݒH̼˻ 45 @Fdd1K,˄K9DF`#DaI؛Z8ܼ591=950݂0! >: 9k G!6 ! ۉc62,o,^,fP:D@)Lə*9˼ݔf.*:1 :2Dhh7;ݲ$w62 2%2DiW;ܻ:I9H !!;̀mə:Ʉ 84//*C+;˃/:CD-KT6 :`" a4K_.8'@(;ɋY*$CKD%P;̔D ;6@6I;IB9˔-BK/*64@ 5;# ij::99ܼ/$k7:CF6 K:ܜ ;K6.@H<H*< @1(<H:8FL.h:!#h^,4!=˂Fz<@=C#!=<#.@$D W49o=d<ɈDk=K=6II<ݶh=94#h7<:6B03$8C98Ƚ><h^=A=4F5 i`-؛̛e>cKB;d 7!54:%6)۾>??Dit5@??`$46#8>t5F>܉ .컼u>0F1 ?J3-ȼ<6>"?@>DC$2A}-)>m+ 00HIR5A!$/I6:>?>˘(<AN@09y8#@ܼ݀Nh̼a= idFC/N@Ȕ8:@>>̶lE+:1*Dm@̻n6@˘" AAA/Ɣ66h̻. λH<7A?21-$->,@A)ܼH@̻˼#B@6B4ۼ A=B KA:hA-g@<ݴ1;>>/Cݱ0oB/B ABɼL`BaB<@ݹC̽t9=BA08Cm?܄˽L̾aC l+AKۼCAL>ܘhCA ̼C ˓Bc C!얽̸ BB BKC ˝@;D ܸK߀Bܘ3-PD-hܼ̽˶Hܜ4̸DwCCK܌BA ܹ1B ̶LuCB)̼ۛa#d2ܼۛD!"NC̽$E"ܽݹaiɻ۽̜DSEDޘMDܛB d4kABԜ˽tCƼlܻDE$H@m@ ˻DQE D d8vCɈB AdD ߶p6%̼̼ݻAQFPFݸ $I۳,LܴnFFFACEkDܻDh̼ܼ˻ݻ7EBEFeFwF07M`Gݻic4EE 0ɛBE̙D7Kˋ܄E GkFGvF;GGݻ|F ݴCic(GG d1BFܹJFE ˈGkGbF HkcFۘɛYFPC/<8HFmG.< #DlVHGH 2@ kF9Gܻ˻GE|HaFH̸xH ˙4HHFH? H<ݻ+kHJH H 2̼K˘H왻GTHFH̹:H ˒HIuIIHI0݀(IgIIII#IyHkp6IܙHIII J̛IGJ JɉIܙJE1JI 2VJBuHQHr=ܙCGSJ JIJ%JJ IJ J ]JeJ|J KCKEHK J JUKJUK K[FKmBKJ NJC#MKI(K_iJ@KJ KqLLjLkL|LLL LLLI@L LLLLLL LLL M1MLMZMLGM4MDMLLLp:`MMKM IM LMMIMMpMZM >#URCTBRjUSTSTMT ;hT\UDLUTUSyUpJTTUCTU?RTJU0PDTxNMgNOTQTC=TaG/<CRLS>V=RA.VKVRSUvV#T SVSUpNQzU|V-VfNR@TU=FQZVV3VR W#RzX7W1R`XXX]X XSWQ_W\XXX3,XSTSQJXYO7QNPYV(YRYXRYYiWXYQW NWY`YQ;W̻ YDF̼ NOO̼YYYOYYX 5WYXYIYXzZXWWܴ2FW?ZiRUY ̹˛̜mN}ZYEYZYYYkW WXY)[P ]YSPYMS[ )QJ>[̼˼̙VXZZ YY|YxWYGW$RYsXY8Y `YX̸ۼXۻ`[WoFoOMUVq[ZRZRWY[WS3[R,[[wW?[[OB\˜w[\[WdSp\f\S\\FR[FCR%RL\Y[[xQY]X\x[dDdZC!9]S]\[IO\{[\ Z6\tPY[d\]v\Yz\ZRc[]RQz]`]\o[WVV˘]/X̹F^][ ]][/Y3^YX^\XZ^^^P^]VUTpY*\p[^]̴4I dZH>Hd˻˛L9dcbi_[d˄"H-[ˋ˸Kbd] NATe^]^dKGSW1YdɻITO\`ae˶hdqdɉC!H[ 0eb?Q NMp\:ax[Rdw[ a %dvb7Z_;fb̹ifJYfA8`dbe4eZSa^`fW fe[{fC^bf˘9Y Ia/efffcf6bAdbpd] O9f1cf b ̉˂4fchaH|gg\ٛe Rg g!alSxcgNdPc,\af˼Ycigd\!#cDcgePhPb TecaXKTFb g$d˻˜E_LeFrhi]an[ua ae SQf>da'iWIf Kbh ]ft^ˈaDgdIfZ]h]]@SLdaeZFNRh f{gZj˶Dld˛gdDBU]_id#jbIh`ia^\ BThPX`̹ˉ hUWnhA\vjXj 2̸D _8jjgZNAT_ Qj hJgTjyZ!ZjdAI]j1g26dhg_9fjf``Xm\da˹9aX 8^ $k˹byf˖Ckdb R za RPgh`k/i iW aZkWjSeDgk;klckSQ[ licd0WYgl mhC6`ܘi cl^ Ullg oPkj`k pkkfYk̻:b>m˙6f˛hD4lfk~hn @Vl-mil˼jl ebhnnfGZ7m1&n\fkj lV _ofil̼ rli LhFpDF1ocf\j'pKje Wpjo̘h#lZnU kg'[̸3f_pdfl XYVpcep˼hk4pzZ_˘n NqFHo 2[˔B fFfnq_ fheW`ț|oZ[h%n̻ogq nfFZ _kɛrqrhf:pgS Rh|q̻*\lr\h\qDUpDrphp Kh[raoqp] ,lpGqcn kD3rd4D6u]_j˻dHr`rBiZqnro7qkjolf\̻FjksBhmsffssȻp ;_Vl˙fhd CstdiëgXo_ n l pst`prms=rtD(jt\*h0t_; UU__UUodUUv__v8vvvUvv#w5wvv&w/$w1wv_Ywv__wU`wuwcw/wv5v|wlwjw+ww|wqwwnw v>UiwvSwwvw8xx wv[w xIw{xxxxx^x*worww8%xiww6w!wxxwAw xBxfw:wxCyyPy8w yyVw*yuw Byv Ew xy9vyzEo ywz%w7vgZv9vu\H}}} }@}} wff3"UU꾪ﺽ/?UU꿺?UU몮?UU*UUUU/UUUUUU)>UU.UU믽.UU)9UUUUUU?.UU;UUUUUU/+UUUU?>UU>9UU>ﮯ믯UUꪩ뮯UU꿺?UUUU?UUꪪUUUU﮿?UUUUUUUU?UUUUUU?UUUUUUUUUU??????? > ? >@@A &BBfC4jfE~F@$G~H@Hp8H@9NPhjm"4b(:4+!4@,?;@|:@D~@$@ܥ @đ d&` ̞RJ\JJJJ@ rJ@ LK@ 2K@(PK@ <pK@dK@ $K@ K@ K@ԳL@".L@" PL@ pL@ \L@ DL@ L@ L@ M@"p42M@5PM@ =nM@&>M@?M@@M@AM@(ČBN@tE4N@"8FVN@ HvN@"I@@J@K@"L@VpM4@ШNR@ ،O@P @Q>@R\@ Sz@"X@"`Y@ Z@ [@"b\ @"&]B@"~^d@ _@ `@ a@ 4b@"xc@ dd&@ eF@ ff@ (l@Hm@ؑn@o@(Np@(q0@rN@sl@t@(u@(w@x@y@("z>@{\@2|z@n}@"g ~@" @ @ ; @:@VZ@V@V<@V@ 0@@@@&2@&ܹX@"h@"d@ @ @(*@(R@(z@(@(r$$ : Z z" :Xv$""$ "B`~& $ D"f" ( $"F"h" " * J j * J j * J j""&Db"& $ D d $" ( H h""""""4"V"x"h"""" (F f(V"$"F f #" $" @"" ". n&ǜ&"0"h"" ;X<N N X XظX \XX;NzXHNX\XX XԷ(X <X б IX`]XжdX Xm@q@4u@y@|@H@(@@@0@ȴ@p@x@4@з@@@H@Ը @!@w"@Ĺ#@X$@l%@&@ '@ع(@|)@*@`+@|,@p-@.X /X(0 X811X2JXh3bX|4tXL5X6X87X`8Xt9X:X;X8<X<=X>'X?9X@OXȯAZXܯBfXCvXDX,EX@FXTGXhHXIX̰JXK X LX MXN3X0ONXDP`X ȺQmX(R|X,SXxTXU.X HVXhWXXXмYXZX["X\1X ]˟X^KX_MX`OX,aݟX8b_X hchXTdjXe{Xf}XZgXFhX 2iX |jXЭkXTlXmX 0nX oX |pXqXHrX sXLtX `uv wx3y5zH{T|`}l~x x 1IUW^oz|~ԙ+!-H RZ\ʙ h@4t@w@|@ @ @h@l@ @@̬@@ܫ@@@@@,@@ԩ@@Ĵ@@@@@@@ @!@"@#@$@X%@& @|' @(@̻)@*@ D+#@ ,,@D-0@X.7@ l/@@ 0`@%41@H2@\3@p4@5@6@7@8@9@Խ: @ľ;@<@ؾ=@>&@?.@@2@ A<@ BF@(CJ@0DU@̫E`@<Fk@Kv@.PL@dM@xN@O@P@Q@ R@ȠS@ ܠT@ U@W@X$@hY*@|Z0@̡[1@\2@]7@^<@_A@`E@0aJ@bN@cR@dY@e\@Тfa@gc@hh@in@ jt@ 4k@Hl@\m@po@p@ԣq@r@ s@$t@ 8u@v@'w8@Px=@dyB@ zK {T}`~k & I Sbdgilw "&+: D MTY]a k y" ț )( Q kB 2 : +" M2 B [2 B W* N % 3 A O ] k y ! / = K Y * * + + &+ ( 6 D R ` n | ! 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O"$'˽˻ȼ#I#p%ۋˋۼ˼##ɻ% ۻ!Y&۽ș˻˼L&\'ۋ # %S&ۻɻ۽%P'&v(#% ͼ˻( ɻ˻ݻT "( #m$C('ػ˻˻M/%&'뜻*('_)A#)"H!)B")Z*ܘ`)f)˻^ٻ˻%%n& 7*08)̹!H%%.#)ۛ˻˻++"Z*\dDݶla)-#*˻'d !"#$%&'()*+,-./01+ɛA";x+ܳ8'!#˻˻ۼ ˻ɻ'˽˛̆fMB,˂R*cI*, ~ ˼'+R+ȹ#&r$2+F* ܖ!]) o,,3,**-ܻl$q)++Ȼ̻+ɉ+b3+D,-.- ȸ˿+(,Q++0-`<+?Flr.-g-.!V-@x-#t/DL+K1'//*2D.'hB)L4/5/t+DcD,4Lu01)˜0,͔ 0 0 0DK@0 &0Dk,/. c*kI @011iO1=x1u0].F 2,-$2˶1U2V1 F$˼B22 }3ĉ*܀D$*<3ɻͳ9;)DDb@0@)O(3fk!9*3$2 <+"+۔HAL 554 54/X4 _5C6U3F .i4 65̆i55 o&3̸d4ۻe$C5܋+5̼+ܻC5 31/l 6ˀ*aB6̶, 15 ݹK X4Kݹ m̻.q)G!mDD3̂*c5˻/˙Dۙ0 8,\6 ̙δ5!ANCK4k˻6%C6˹id ".c@6dD!CI6ݻffA˔ +| ̼i|5hnC0(DDl+77 ˖@ t+a!."d2kƼD3ː67 ˙f1*%i̸HDik,6˙6 ܖ06̔w6̴[7̼dffd0A9,@8DFk˸d 7F7ټDD"I7ɛوc8)D07̑k80l7BHD̻@C15 ADhdD7dl*9ik9#4k)ԋ*9˼,0./D9AB6܈+W9 2ݒH̼˻ 45 @Fdd1K,˄K9DF`#DaI؛Z8ܼ591=950݂0! >: 9k G!6 ! ۉc62,o,^,fP:D@)Lə*9˼ݔf.*:1 :2Dhh7;ݲ$w62 2%2DiW;ܻ:I9H !!;̀mə:Ʉ 84//*C+;˃/:CD-KT6 :`" a4K_.8'@(;ɋY*$CKD%P;̔D ;6@6I;IB9˔-BK/*64@ 5;# ij::99ܼ/$k7:CF6 K:ܜ ;K6.@H<H*< @1(<H:8FL.h:!#h^,4!=˂Fz<@=C#!=<#.@$D W49o=d<ɈDk=K=6II<ݶh=94#h7<:6B03$8C98Ƚ><h^=A=4F5 i`-؛̛e>cKB;d 7!54:%6)۾>??Dit5@??`$46#8>t5F>܉ .컼u>0F1 ?J3-ȼ<6>"?@>DC$2A}-)>m+ 00HIR5A!$/I6:>?>˘(<AN@09y8#@ܼ݀Nh̼a= idFC/N@Ȕ8:@>>̶lE+:1*Dm@̻n6@˘" AAA/Ɣ66h̻. λH<7A?21-$->,@A)ܼH@̻˼#B@6B4ۼ A=B KA:hA-g@<ݴ1;>>/Cݱ0oB/B ABɼL`BaB<@ݹC̽t9=BA08Cm?܄˽L̾aC l+AKۼCAL>ܘhCA ̼C ˓Bc C!얽̸ BB BKC ˝@;D ܸK߀Bܘ3-PD-hܼ̽˶Hܜ4̸DwCCK܌BA ܹ1B ̶LuCB)̼ۛa#d2ܼۛD!"NC̽$E"ܽݹaiɻ۽̜DSEDޘMDܛB d4kABԜ˽tCƼlܻDE$H@m@ ˻DQE D d8vCɈB AdD ߶p6%̼̼ݻAQFPFݸ $I۳,LܴnFFFACEkDܻDh̼ܼ˻ݻ7EBEFeFwF07M`Gݻic4EE 0ɛBE̙D7Kˋ܄E GkFGvF;GGݻ|F ݴCic(GG d1BFܹJFE ˈGkGbF HkcFۘɛYFPC/<8HFmG.< #DlVHGH 2@ kF9Gܻ˻GE|HaFH̸xH ˙4HHFH? H<ݻ+kHJH H 2̼K˘H왻GTHFH̹:H ˒HIuIIHI0݀(IgIIII#IyHkp6IܙHIII J̛IGJ JɉIܙJE1JI 2VJBuHQHr=ܙCGSJ JIJ%JJ IJ J ]JeJ|J KCKEHK J JUKJUK K[FKmBKJ NJC#MKI(K_iJ@KJ KqLLjLkL|LLL LLLI@L LLLLLL LLL M1MLMZMLGM4MDMLLLp:`MMKM IM LMMIMMpMZM >#URCTBRjUSTSTMT ;hT\UDLUTUSyUpJTTUCTU?RTJU0PDTxNMgNOTQTC=TaG/<CRLS>V=RA.VKVRSUvV#T SVSUpNQzU|V-VfNR@TU=FQZVV3VR W#RzX7W1R`XXX]X XSWQ_W\XXX3,XSTSQJXYO7QNPYV(YRYXRYYiWXYQW NWY`YQ;W̻ YDF̼ NOO̼YYYOYYX 5WYXYIYXzZXWWܴ2FW?ZiRUY ̹˛̜mN}ZYEYZYYYkW WXY)[P ]YSPYMS[ )QJ>[̼˼̙VXZZ YY|YxWYGW$RYsXY8Y `YX̸ۼXۻ`[WoFoOMUVq[ZRZRWY[WS3[R,[[wW?[[OB\˜w[\[WdSp\f\S\\FR[FCR%RL\Y[[xQY]X\x[dDdZC!9]S]\[IO\{[\ Z6\tPY[d\]v\Yz\ZRc[]RQz]`]\o[WVV˘]/X̹F^][ ]][/Y3^YX^\XZ^^^P^]VUTpY*\p[^]̴4I dZH>Hd˻˛L9dcbi_[d˄"H-[ˋ˸Kbd] NATe^]^dKGSW1YdɻITO\`ae˶hdqdɉC!H[ 0eb?Q NMp\:ax[Rdw[ a %dvb7Z_;fb̹ifJYfA8`dbe4eZSa^`fW fe[{fC^bf˘9Y Ia/efffcf6bAdbpd] O9f1cf b ̉˂4fchaH|gg\ٛe Rg g!alSxcgNdPc,\af˼Ycigd\!#cDcgePhPb TecaXKTFb g$d˻˜E_LeFrhi]an[ua ae SQf>da'iWIf Kbh ]ft^ˈaDgdIfZ]h]]@SLdaeZFNRh f{gZj˶Dld˛gdDBU]_id#jbIh`ia^\ BThPX`̹ˉ hUWnhA\vjXj 2̸D _8jjgZNAT_ Qj hJgTjyZ!ZjdAI]j1g26dhg_9fjf``Xm\da˹9aX 8^ $k˹byf˖Ckdb R za RPgh`k/i iW aZkWjSeDgk;klckSQ[ licd0WYgl mhC6`ܘi cl^ Ullg oPkj`k pkkfYk̻:b>m˙6f˛hD4lfk~hn @Vl-mil˼jl ebhnnfGZ7m1&n\fkj lV _ofil̼ rli LhFpDF1ocf\j'pKje Wpjo̘h#lZnU kg'[̸3f_pdfl XYVpcep˼hk4pzZ_˘n NqFHo 2[˔B fFfnq_ fheW`ț|oZ[h%n̻ogq nfFZ _kɛrqrhf:pgS Rh|q̻*\lr\h\qDUpDrphp Kh[raoqp] ,lpGqcn kD3rd4D6u]_j˻dHr`rBiZqnro7qkjolf\̻FjksBhmsffssȻp ;_Vl˙fhd CstdiëgXo_ n l pst`prms=rtD(jt\*h0t_; UU__UUodUUv__v8vvvUvv#w5wvv&w/$w1wv_Ywv__wU`wuwcw/wv5v|wlwjw+ww|wqwwnw v>UiwvSwwvw8xx wv[w xIw{xxxxx^x*worww8%xiww6w!wxxwAw xBxfw:wxCyyPy8w yyVw*yuw Byv Ew xy9vyzEo ywz%w7vgZv9vu\H}}} }@}} wff3"Note that enabling this option slows down execution of all symbolic operations significantly. You should clear this flag when processing symbolic commands in the background (multitasking environment). This will eliminate annoying pauses in the active application. Related commands: Expand, Sort, Collect, Simplify %%C011 INSERT SPACES WHEN REWRITING FORMULA Check this box when you want to separate two objects in the formula with a space. Formulas are normally easier to read when this formatting aid is turned on. Read also the help text for the check box above. Related commands: Expand, Sort, Collect, Simplify, Check Syntax, Trig Conversions %%C012 "CHECK SYNTAX OF FORMULA" REWRITES FORMULA Cleared: "CHECK SYNTAX" (see menu FORMULA) parses formula, but leaves it as it is. Returns, tabs or spaces are not removed. Checked: "CHECK SYNTAX" parses and rewrites the formula. All unnecessary characters (Returns, tabs, spaces) are deleted. If you told "CHECK SYNTAX" to insert spaces, two functions will be separated by a single space (see also help text of check box below). Related commands: Check Syntax of Formula %%C010 EVALUATE CONSTANTS If this radio button is set, expressions with symbolic constants (like Pi, e or StdT) are evaluated to symbolic results. Related commands: Collect %%C00F EVALUATE CONSTANTS If this radio button is set, functions with symbolic constants (like Pi, e or StdT) are evaluated to numeric results. They are replaced by their numeric value and treated like any other number. Note that symbolic constants which are part of an expression that cant be evaluated to a numeric result arent changed. Related commands: Collect %%C0FE %%W000 FUNCTIONS Inserts a function in the formula or executes it. If this window is linked to the formula (you should see the name of the current formula below the buttons), clicking on any function inserts the functions descriptor at the insertion point into the formula. If Symbolix displays a small calculator icon at the bottom, pushing a button executes the command on the stack. All arguments must be located on the stack before issuing a function. You can find a detailed description of all functions at the beginning of the math formula table (see menu WINDOW). Block Protection Brackets [..] This special pair of brackets locks expression in a formula. Expressions in these brackets cannot be changed by Expand, Collect, and Simplify. Derive Pseudo-Function Please see help text of the menu command DERIVE for mor einformation about the der() function. Complex functions As soon as you check the box allow complex numbers in the Preferences, Symbolic calculates with complex numbers. Most scientific functions produce complex results which may differ from their real counterparts. Affected windows: Formula or Stack (target), functions (source), constants & variables (source) %%C03D %%C03E %%C03F %%C040 %%C041 %%C042 BUILT-IN CONSTANTS Inserts a constant in the formula or pushes it on the stack. If you can see a small calculator icon below the scientific functions, clicking on a constant pushes its value (a numeric approximation) onto the stack. If you can read the name of the current formula, clicking on a constant inserts the constants descriptor at the insertion point into the formula. If the switch in the window of functions connects this window with the stack, Affected windows: Formula or Stack %%C04A DEFINE VARIABLE The DEFINE button creates a new variable. You can specify the name and assign a value to the new variable. If a variable of the same name already exists, it will be deleted first. Affected: List of variables %%C001 LIST CONTROL This control shows a list of all currently defined variables. You can select a variable by simply clicking on its name. If you hold down shift while clicking on a second name, all variables between these two are selected. Clicking the mouse button while holding down OA selects or deselects individual variables. Double-clicking on a name inserts a variable in the formula or pushes its value onto level 1 of the stack, depending on which of the two modules is the target. (A calculator icon below the scientific functions says that the variable will be pushed onto the stack, the name of a formula means that Symbolix inserts the variable in the formula window.) Affected windows (when double-clicking): Formula or Stack %%C049 DELETE VARIABLE Removes a variable from the list of variables. Selecting a group of variables deletes all highlighted variables. (See help text of list control on how to select more than one variable.) Affected: List of variables Related flags: Show Alert Windows %%C0E4 %%C0E5 MATH ENGINE Symbolix currently supports two math engines: SANE and FPE (Floating Point Engine). SANE is an extraordinarily robust and stabile collection of math routines. It is reliable, very precise, and damn slow. [sorry] The FPE is a coprocessor card made by a company that went out of business some time ago. However, this card is quite popular and features a modern 68881 math chip. This processor does not support all features of the SANE (notably halts, most NaN types) and is less precise in some situations (when calculating trigonometric functions). Since Symbolix communicates directly with the FPE (not via toolbox patches), you will notice a dramatic increase in speed. Because the company could not provide us with technical support, Symbolix has to deal with FPE-generated synch problems. Though the program contains advanced code to fix such errors on the fly, Bright Software can not guarantee that the patches work on all possible configurations. If this check box is dimmed and you have installed a FPE, make sure that the slot is set to Your Card. Also inactivate any FPE software patches. They are neither needed nor compatible with newer system releases. DSP: upcoming feature of Symbolix 2.0. This is a superfast, DSP-driven corpocessor card. Contact Bright Software or CTI Hardware for latest news. %%C05E %%C05F %%C060 %%C061 %%C063 %%C064 %%C065 %%C066 %%C00E SET S.A.N.E ENVIRONMENT These switches let you modify the SANE environment. You can either change the default rounding direction or enable and disable certain halts. Note that changing the default rounding direction affects internal calculations as well. It is not recommended that you enable halts on inexact results because such halts may occur during internal conversion. Note: these switches are only meaningful when you are using the SANE kernel. %%C06C %%C06D %%C06E %%C06F %%C070 %%C071 %%C072 %%C073 %%C074 %%C075 %%C078 %%C079 %%C077 STACK COMMANDS Drop: clears level 1 (2->1). Duplicate: duplicates level 1 (1->1,2). Clear all: clears all levels (double-click!). (Complex mode only) Swap: switches level 1 and 2. Over: copies level 2 to level 1. (2,1->3,2 and 2->1) Pick: copies level n (n is in level 1) to level 1 ([1]->1). Up,Down: scrolls stack. STO,RCL: stores level 1 in a variable, or recalls a variable (variable must be highlighted). Enter: enters values. Last: gets copy of last argument. Re<>Im: swaps real/imaginary part of level 1. (Complex mode only) Complex mode: mark the check box allow complex numbers in the Preferences to activate the complex mode. Affected windows: Stack %%C090 EDIT LINE (REAL) Here you can enter values you want to push onto the stack. Upon entering them, press to process the input. For complex values, check the box allow complex number in the window Preferences. You will then see a second (imaginary) stack to the right. %%C091 EDIT LINE (IMAGINARY) Here you can enter the imaginary part of a complex value you want to push onto the stack. Upon entering them, press to copy the complex value to level 1. %%C08F STACK DISPLAY (IMAGINARY) Lines 1-6 show the content of the first six levels of the real stack. To copy a value to the edit line, simply click on the value youd like to edit. (The original value wont be changed.) For complex stacks, check the box allow complex number in the window Preferences. You will then see a second (imaginary) stack to the right. %%C07A %%C07B %%C07C %%C089 EVALUATE FORMULA Display result only: evaluates and shows result in window. Store in variable: evaluates formula and stores result in highlighted variable. To stack: evaluates formula and pushes result onto stack Store in variable and loop: same as second button, but repeats this process until the Apple key is pushed. Evaluating recurrence formulae (last option) can be done in the background. Press Command-Control-Tab to put Symbolix into the background. %%C080 ALLOW COMPLEX NUMBERS Cleared: Symbolix calculates with real values only. Checked: the stack has a real and an imaginary part, and the formula module accepts complex expressions. Affected functions: all except for CEIL, FLOOR, IP, FP, MOD, RAN, FAC %%C00A TRIGONOMETRICAL CONVERSIONS - SINE Replaces SIN(X) with TAN(X)*COS(X) [COS TAN] or TAN(X)/(sign*SQRT(1+SQ(TAN(X)))) [TAN]. %%C006 TRIGONOMETRICAL CONVERSIONS - COSINE Replaces COS(X) with SIN(X)/TAN(X) [SIN TAN] or 1/(sign*SQRT(1+SQ(TAN(X)))) [TAN]. %%C004 TRIGONOMETRICAL CONVERSIONS - TANGENT Replaces TAN(X) with SIN(X)/COS(X) [SIN COS] or SIN(X)/(sign*SQRT(1-SQ(SIN(x)))) [SIN]. %%C04D TRIGONOMETRICAL CONVERSIONS - COTANGENT Replaces COT(X) with 1/TAN(X). %%C04F TRIGONOMETRICAL CONVERSIONS - SINE Replaces SIN(A+B) with SIN(A)*COS(B)+COS(A)*SIN(B). %%C050 TRIGONOMETRICAL CONVERSIONS - COSINE Replaces COS(A+B) with COS(A)*COS(B)-SIN(A)*SIN(B). %%C051 TRIGONOMETRICAL CONVERSIONS - TANGENT Replaces TAN(A+B) with (TAN(A)+TAN(B))/(1-TAN(A)*TAN(B)). %%C052 TRIGONOMETRICAL CONVERSIONS - COTANGENT Replaces COT(A+B) with (COT(A)*COT(B)+1)/(COT(B)-COT(A)). %%C088 LOAD STACK This button loads a stack file from a disk. Note that the previous contents are deleted. %%C087 SAVE STACK This button saves the entire stack to a disk. Symbolix always saves the imaginary stack, even when youre not in complex mode. %%M182 DISPLAY MODES This menu command opens a window. Click on a control in this window for more information. %%M183 SYSTEM This menu command opens a window that displays some information on the Symbolix version youre using. Available memory is also shown. %%M171 DERIVE This menu command scans the current formula for der()-functions and derives the expressions. Note that the functions IP, FP, MOD, CEILING, FLOOR, and FAC cannot be derived (for mathematical reasons), and Symbolix displays an alert box if you try to derive them. The syntax of the derive-function is der(var : expressions) var is an existing variable (it must appear in the list), and expression is an algebraic expression. Example: der(x: SIN(x)^(y) ) der() works with complex arguments. %%M108 SHUT DOWN EXTENSIONS Use this command to close down all extensions. If an extension is causing problems, select this menu item to "kill" it. Note that this command closes all extensions. Thus you have to re-open them if necessary. Some extensions shut down themselves upon quitting. To see whether an extension is still in memory or not, open the Extensions menu. If its menu item is marked, the extension is still active. %%M173 DERIVE ALL This menu command derives the entire formula. If you have entered an equation, Symbolix will derive both sides separately. IMPORTANT: before selecting this command, you must highlight the independent variable in the list. See help text of the DERIVE command for more information. %%M172 ELIMINATE (..) This menu command scans the current formula for unnecessary parentheses. It is a subcommand of SIMPLIFY and thus much faster. %%M165 2D GRAPH WINDOW This menu command opens the graph window. Symbolix uses the current formula for calculating the graph. Note that you can have only one graph in memory per formula. If you want to have several graphs of the same formula in memory, you must copy the formula into new documents (by using the NEW command). The graph window has an information bar, and clicking on it opens the graph menu with several menu commands. Many functions require a valid selection in the graph. To select a portion or x-coordinate of the graph, move the cursor to the upper left corner, hold down the mouse button, and then move the arrow to the lower right corner. %%M176 3D GRAPH WINDOW This menu command opens the 3D graph window. Clicking inside this window (in the content region) opens a pop-up menu where you can find commands for saving, exporting, printing, and purging graphs. (Note: you cannot access this menu if theres no graph in memory.) %%M141 3D CONTROL WINDOW This menu command opens the 3D control window. It allows you to calculate graphs of the form Y=F(X,Y) using the current formula. To learn more about the different controls, activate the help mode again, then push them. All three main commands (PLOT, AUTOSCALE, APPLY) support multitasking. Press Command-Control-Tab to calculate new graphs in the background. %%M162 CLOSE This menu command closes the current formula by freeing all memory blocks that belong to this formula. If you want to keep the graph in the graph window, save the picture to disk before closing the formula, or copy-and-paste it into another program via the clipboard. %%M161 NEW This menu command creates a new formula. At the same time, Symbolix allocates memory for one graph. You can have up to eight documents in memory. %%M101 QUIT Leaves this fantastic program. Under normal circumstances youll never have to execute this command. And if you do, let us know why you did...:) PS: did you return the registration card? Nooo? %%M10A CHECK SYNTAX OF FORMULA Check Syntax parses the formula and displays a message if it finds an error. Use this command when you want to test whether Symbolix accepts the formula in this form or not. Frequent errors are: undefined variables, misspelled functions (lowercase), bad nest calls (file not found). And dont forget: exponents have to be enclosed into parentheses! Related flags: Check Syntax Rewrites Formula, Insert Spaces when Rewriting Formula %%M10B EXPAND Expand rewrites an algebraic expression by expanding all products and powers. Normally, the resulting expression is longer but easier to read because most parentheses have been eliminated. EXPAND is multitasking compatible. Press Command-Control-Tab to expand a formula in the background. Its highly recommended to turn off screen updates (Update screen in the Preferences). Related flags: Update Screen, Insert Spaces %%M136 SORT Sorts terms of a sum. Coefficients are placed at the beginning of a sum and followed by built-in constants and variables. Always use this command before collecting a formula. %%M100 Hello World! Symbolix the first and only math program for symbolic & numeric math Copyright 1990-93 by Bright Software Switzerland. All rights reserved. written by Henrik Gudat Version 1.8 interim release Thanks to BrainStorm for reincarnating the Apple II spirit in Europe. The Golden Age is not yet over. Aurea prima... Sorry for stealing your Eastern Egg, BrainStorm. But I really liked it. More thanks go to: Larry, Andre, Christopher, Dave Hecker and ... why dont you start the Credits extension? For more information on Symbolix, the DSP coprocessor card, or The Manager: Bright Software Clinical Research P.O. Box 18 4153 Reinach 2 fax +41 61 711 52 63 InterNet gudat@avalon.physik.unizh.ch GEnie A.HORSTMANN %%M107 COLLECT Simplifies an algebraic expression by collecting like terms. The resulting expression is shorter but has more parentheses. It reverses the result of the EXPAND command. COLLECT is multitasking compatible. Press Command-Control-Tab to collect a formula in the background. Its highly recommended to turn off screen updates (Update screen in the Preferences). Related flags: Insert Spaces, Update Screen, Evaluate Constants To ... %%M105 SAVE AS... Saves the formula and the list of variables under a name specified by you. %%M104 SAVE Saves the formula under the last name. %%M103 OPEN Loads an equation file into memory and moves the old formula to the undo buffer. Pressing Command-Z toggles between the new and the old formula. Related flags: Keep Variables %%M13A MERGE VARIABLES Merges a variable segment of an equation file with the current list of variables. If a variable already exists in the list, itll be replaced with the variable of the equation file. %%M13B INSERT FORMULA Inserts a formula from a disk at the insertion point in the formula window. This command does not affect the list of variables. %%M13C DELETE FILE Deletes an equation, graph, or stack file from disk. Related flags: Show Alert Windows %%M0FA UNDO Undoes the work of a command from the RULES menu by exchanging the formula in the formula window with the one in the undo buffer. Selecting this item twice restores the original state. %%M139 SELECT ALL Highlights the entire formula in the formula window. Attention: certain commands (Cut, Copy, Paste, Clear) from the EDIT menu will work with the foremost window only! %%M13D 2D CONTROL GRAPH Opens the 2D control window. Please note that you have to select an independent variable from the list of variables (simply highlight a variable) before pressing PLOT or AUTOSCALING. Many functions for graph analysis can be chosen in the graph menu that appears when you click the information bar of the graph window. %%M142 SIMPLIFY Simplifies an algebraic expression by removing unnecessary parentheses and replacing complex expressions with their simpler equivalent. SIMPLIFY is multitasking compatible. Press Command-Control-Tab to simplify a formula in the background. Its highly recommended to turn off screen updates (Update screen in the Preferences) before putting Symbolix into the background. Related flags: Update Screen %%M102 SETUP Shows the printer setup dialog box. (Use the Control Panel NDA to select a printer) If youre trying to print without having gone trough the printer setup dialog box at least once, Symbolix will display this screen automatically. %%M144 OPEN 3D GRAPH... Opens a 3D graph file that has been saved in Symbolixs own file format. After loading it, press APPLY in the 3D control window to make the graph appear. Note that pressing PLOT or AUTOSCALING will calculate a new graph from the current formula and overwrites the data you have loaded into memory. You cannot change the resolution of a previously loaded graph. %%M146 OPEN GRAPH Loads a previously saved graph and links it to the current formula. %%M14B SELECTION TO STACK Converts a highlighted string from a text window (formula, formula table, or scrapbook) into a number and stores it in level 1 of the stack. If the selected text doesnt start with a number, this command does nothing. %%M14C STACK TO FORMULA Converts the value in level 1 of the calculator to a string and inserts it at the insertion point into the formula window. When being in complex mode, Symbolix packs both parts, real and imaginary part, into parentheses. %%M14E SOLVE Execute this command to find roots. Enter a starting value (one that is close to a root), then press either Solve or Loop. The latter command calculates an approximation, uses it as a new starting value and calculates the next one. Press the Apple key to stop this loop. TO STACK copies the last result to the calculator. Cancels gets you back to the desktop. %%M14F ADD VARIABLE Use this function to quickly define a new variable. Instead of pressing DEFINE in the window of constants&variables, highlight the variable in the formula and choose ADD VARIABLE. Spaces are substituted with underline characters. %%M152 SOUND Turns the bell on or off. If enabled, Symbolix will sound a bell as soon as a time-intensive operation is finished. The sample Symbolix will play can be set in the Sound CDev (Control Panel NDA). The program uses the Task Complete sound. The audio signal is especially helpful when working in a multitasking enironment. With sound enabled, youll know immediately when Symbolix has finished a background task. %%M157 SORT BEFORE SIMPLIFY If this menu command is checked, Symbolix will sort the formula before it calls the simplify module. The command is then a little bit slower but much more efficient. %%M153 INTEGRATE Numerically integrates a formula. Simply enter the interval, then the accuracy which determines how many data points have to be calculated (data points = accuracy * 6). The higher the value, the longer it takes to calculate. Choosing a small integer (min. 0) results in a lower precision. Press either INTEGRATE or AREA. Symbolix will calculate the integral or the area and display the result in the window. It then automatically increments accuracy by one and calculates the next integral or area. You can press the Apple key at any time to stop this loop. Click on TO STACK to move the result from the window to the calculator. You can then use this value for further calculations. %%M154 HELP After having selected HELP from the Apple menu, choose an item (a menu, button, or whatever) you want to know more about. You can also click the blue i icon to the left of this text to activate Symbolixs onine help. While help is active, this window is not visible. %%M159 CLOSE FRONT WINDOW This menu item closes the active window. It has the same effect as clicking the close box of a window. %%M130 FORMULA Hides or shows the formula window. %%M131 FUNCTIONS Hides or shows the functions window. %%M132 VARIABLES & CONSTANTS Hides or shows the window with all built-in constants and the list of variables. %%M138 STACK Hides or shows the stack window (the calculator). %%M14A MATHEMATICS Hides or shows the math formula table. If the formula tables do not appear in the window, make sure tht you have copied the file GSHelp.Math from the original program disk. %%M149 GEOMETRY Hides or shows the formula table for geometry. If the formula tables do not appear in the window, make sure tht you have copied the file GSHelp.Geo from the original program disk. %%M148 ELEMENTS Hides or shows the list of elements. The list is sorted alphabetically. The units of the different properties are located at the beginning of the formula table. Dont forget to take a look at the periodic system (Period.System) extension!! %%M14D SCRAPBOOK Hides or shows the scrapbook. There you can store anything you like (formulas, notes, constants...). The scrapbook is saved to disk whenever you quit this program, and loaded from the disk when you start up Symbolix again. %%M135 EVALUATE Shows the EVALUATE window. %%M134 PREFERENCES Shows the PREFERENCES window. %%M137 TRIGONOMETRICAL CONVERSIONS Shows the TRIG CONVERSIONS window. Open this window and push the button you want to know more about. %%M155 PRINT FORMULA This menu command sends the formula to the printer. The formula will be printed like a document in a word processor. Symbolix doesnt parse the formula, so you can insert any text you like into the formula (for example the name of the function). %%M156 SET FONT Changes the current font of the formula. Be careful when choosing a new font because some fonts dont have all the special character like pi, the root and so on. We recommend you only change the font before printing the formula. Notice also that the standard font (Shaston 8 point) can be displayed much faster than any other font. %%C100 SUPPORT MULTITASKING If you have installed The Manager, you might want to process several commands in the background. By checking this box youre telling Symbolix to operate in the background when pressing the combination Apple-Control-Tab (hold the keys down until the menu bar changes). This key sequence activates the Finder from where you can launch another application. When Symbolix has completed a task, youll hear a sound. (The sample can be set in the Sound CDev. Link it to the system event Task complete.) Upon returning to Symbolix, the result of the command is displayed. Tip: before executing a multitasking compatible command, check the settings in the Managers menu to the far left (Hide Me when Im not selected). Once youve started a command, you cannot change the state of this flag. Note: background processes take longer, especially when several applications that use multitasking are running. If you want to shorten the execution time of one of Symbolixs multitaskable commands, ... activate Symbolix again make sure the check box below (intensive background tasks) is checked If you want that Symbolix is running exclusively in the foreground, clear this check box. Youll notice a slight increase in execution speed whether you have installed The Manager or not. The Manager is a third-party product from Seven Hills Software Corp. and BrainStorm, France. Bright Software has tested all its desktop based applications with this MultiFinder and can wholeheartedly recommend it. %%C106 INTENSIVE BACKGROUND TASKS Check this option when you have an accelerated computer or need the result of an operation very soon. Symbolix will process larger packets when working in the background. %%M13E HIDE MENU BAR Removes the menu bar allowing you to have slightly more desktop space. To redraw the menu bar, press Command-#. %%M16F MOVE WINDOW This command moves windows on the desktop, even if they dont have a title bar. The cursor will first change to a hand. Then click the window youd like to move and hold down the mouse button while moving the window. %%C107 CLOSE WINDOWS AUTOMATICALLY This option has been added for users of The Manager. When calculating graphs (2D and 3D) in the background, you normally have the control windows still open. They slow down screen updates and cant be closed while Symbolix is calculating a graph. If this box is checked, Symbolix closes the active control window (2D/3D Graph Control) immediately when you press APPLY (3D only), AUTOSCALE, or PLOT. Except for the small status window in the lower left corner, the whole desktop can be used by other applications. %%C0EA QUALITY (2D) Change the resolution (data points per graph) with this scroll bar. Unlike 3D graphs, 2D graphs look good in most cases even at low resolution. %%C0EC TRUE PROPORTION Eliminates vertical distortion when autoscaling 2D graphs. Graphs will show on the printed page the correct angles/ratios. Note: True Proportion works only when the two check boxes Double height (above) and Double vertical size (print dialog box) are both either cleared or checked. %%C0ED %%C0EE VERTICAL ALIGNMENT Because graphs with 1:1 x/y-ratio do not fill the entire window (in virtually all cases), you can specify where Symbolix should align the graph. %% ## EOF34 56789:; >t 5 Eureka! Symbolix DSP#(C) '92 Bright Software Switzerland:GSCLUB461:Symbolix.19???ODODDDDDDDDDDODO???1?ADODDDDODODO03A30D33O333DDDDDDDODODODOODOODNNNNNNDDDNNNN NDDDNDNfnfffnv t > /@Ė/@j@~@@W@~t@@{@p @H8x)@?Tz+@ZT, @&h= Symboli*TB!Eureka! Symbolix formula documentEUC"Eureka! Symbolix 3D graph documentEbC"Eureka! Symbolix extensions folder EXTENSIONS