Annotation of Examples/AppKit/Graph/English.lproj/Help.nib/data.nib, revision 1.1.1.1

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�[3350c]{\rtf0\ansi{\fonttbl\f0\fswiss Helvetica;}
                      3: \margl40
                      4: \margr40
                      5: {\colortbl;\red0\green0\blue0;}
                      6: \pard\tx1340\tx4040\tx6320\f0\b\i0\ulnone\fs28\fc0\cf0 \
                      7: 
                      8: \fs36 Graph
                      9: \b0\fs32  � 
                     10: \b Quick Help
                     11: \fs24 \
                     12: 
                     13: \b0 \
                     14: Graph is an application which graphs two dimensional functions of the form "y = F(x)" and three dimensional functions of the form "x = F
                     15: \fs18\dn6 x
                     16: \fs24\dn0 (u, v); y = F
                     17: \fs18\fc1\cf1\dn6 y
                     18: \fs24\fc0\cf0\dn0 (u, v); z = F
                     19: \fs18\fc1\cf1\dn6 z
                     20: \fs24\fc0\cf0\dn0 (u, v); .  The function F(x) may use:\
                     21: 
                     22: \pard\tx1340\tx3020\tx5820\fc0\cf0                     
                     23: \i Example
                     24: \i0 \
                     25: 
                     26: \pard\tx1340\tx6080\fc0\cf0    the independent variable "x"    
                     27: \b x
                     28: \b0\i \
                     29:        
                     30: \i0 integer and real numbers   
                     31: \b -34, 3.14159, -4.1e-9
                     32: \b0 \
                     33: 
                     34: \i     
                     35: \i0 radix numbers (e.g., base 16, 2)   
                     36: \b 16#1Ae,  2#101011
                     37: \b0 \
                     38:        basic arithmetic operators + -  *  /    
                     39: \b 9 + 0.3 * x
                     40: \b0 \
                     41:        the modulus operator %  
                     42: \b x % 3
                     43: \b0 \
                     44:        the exponent operator ^ 
                     45: \b x ^ 4 - 1
                     46: \b0 \
                     47:        parentheses for grouping        
                     48: \b (x + 1) * (x - 1)
                     49: \b0 \
                     50:        two common constants, pi and e  
                     51: \b 2 * pi + e ^ x\
                     52:        
                     53: \b0\ul coefficients A through H
                     54: \ulnone        
                     55: \b A*x^2 + B*x + C
                     56: \b0 \
                     57: 
                     58: \b     
                     59: \b0 basic trig functions       
                     60: \b sin(x), cos(x), tan(x)
                     61: \b0 \
                     62: 
                     63: \b     
                     64: \b0 basic inverse trig functions       
                     65: \b asin(x), acos(x), atan(x)
                     66: \b0 \
                     67:        exponential and natural log     
                     68: \b exp(1/x^2), ln(x+1)
                     69: \b0 \
                     70:        square root     
                     71: \b sqrt(x)
                     72: \b0 \
                     73: 
                     74: \pard\tx1340\tx6380\fc0\cf0 \
                     75: To enter a new equation, type an expression using the above terms into the forms labeled "
                     76: \b x =
                     77: \b0 ",  "
                     78: \b y =
                     79: \b0 ", or "
                     80: \b z =
                     81: \b0 " and hit return.\
                     82: \
                     83: Graph lets you change the values of the coefficients in real time, with the sliders on the right side of the document window.  Sprinkle these through your functions and play with their values to gain insight into how the components of your function interact.\
                     84: \
                     85: There is a separate "Copy Graph" command for copying your work to other applications.  Graph supports Object Links as a source.  This means if you do "Paste and Link" in an application that supports Object Links, your pasted graphs will stay up to date even when you change them back in Graph.\
                     86: \
                     87: In 2D documents, the 
                     88: \b Zoom In
                     89: \b0  and 
                     90: \b Zoom Out
                     91: \b0  buttons enlarge and shrink the image by a factor of two.  The other scaling control is the 
                     92: \b Auto Scale
                     93: \b0  switch.  If this is on, then the view of the graph is always scaled so the whole image fits.  If it is off, the piece of the plane being  viewed remains the same while other controls are changed.  The range of x values over which the function is evaluated are controlled by the 
                     94: \b Min�x
                     95: \b0  and 
                     96: \b Max�x
                     97: \b0  sliders. The 
                     98: \b Resolution
                     99: \b0  slider controls how many points within the x range are plotted.  A higher resolution means a smoother graph, but it will be a little slower to update.\
                    100: \
                    101: In 3D documents, the 
                    102: \b Zoom
                    103: \b0  slider moves the eyepoint closed and farther to the origin of the space.  You can rotate the figure by just clicking on the graph itself and dragging.  The range of u and v values over which the functions are evaluated are controlled by the 
                    104: \b Min�u
                    105: \b0 , 
                    106: \b Max�u
                    107: \b0 , 
                    108: \b Min�v 
                    109: \b0 and 
                    110: \b Max�v
                    111: \b0  sliders. The 
                    112: \b Resolution
                    113: \b0  slider controls how many points within the u and v range are plotted.  The number of polygons plotted is proportional to the resolution squared.  A higher resolution means a smoother graph, but it will be a little slower to update.\
                    114: 
                    115: }
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                    117: 
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