Hi On Thu, Sep 18, 2008 at 2:25 PM, William Stein <[EMAIL PROTECTED]> wrote: > [...] > This will be going on the main sagemath.org webpage, and could be a > superb way of getting > students really interested in sage. I wonder if somebody could > volunteer to read through > the tutorial and make some comments, find typos, etc.? It's fun, not > too long, etc.
>From the "Limits at Infinity" page at http://sage.math.washington.edu/home/elliottd/calctut/inflimits.html here are some typos and suggestions: [1] You might want to rewrite the snippet "Let's analyze a couple of not-so-straigtforward examples concerning" as "Let's analyze a couple of not-so-straightforward examples concerning" (i.e. fix the typo "straigtforward") [2] For the graph at http://sage.math.washington.edu/home/elliottd/calctut/pix/calctut/inflimits06.png the accompanying Sage code gives a graph that's different from your graph. I still obtain a graph of the same function as that in your graph, but the minimum and maximum parameters of the y-axis are different from yours. Perhaps you might want to use this Sage code: plot((2*x^4 + x^2 + 2)/(x^4 + 1), x, -4, 4).show(xmin=-3, xmax=3, ymin=-1, ymax=2.5) [3] You might want to rewrite the sentence "A function that continues to move between two or more values as its independent variable (x) approaches positive or negative infinity is called an oscillating function." as "An oscillating function is a function that continues to move between two or more values as its independent variable (x) approaches positive or negative infinity." [4] For the graph at http://sage.math.washington.edu/home/elliottd/calctut/pix/calctut/inflimits12.png its accompanying Sage code produces a plot that's a bit different from your image. Perhaps you set your minimum y-value to something like "ymin=-1"? [5] You might want to rewrite the sentence "The sine of a really big number must still be somewhere in the range of -1 and 1, while denominator, however, will simply be a really big number." as "The sine of a really big number must still be somewhere in the range of -1 and 1, while the denominator will simply be a really big number." [6] Under the section "Oscillating Functions", the code snippet def f(x): return sin(x)/x print '| x | f(x) |' print '|-------------------|' for x in [10000..10010]: print '|%6i | %+f |'%(x, f(x)) produces this within my Sage 3.1.1 session: sage: def f(x): ....: return sin(x) / x ....: sage: print '| x | f(x) |' | x | f(x) | sage: print '|-------------------|' |-------------------| sage: for x in [10000..10010]: ....: print '|%6i | %+f |'%(x, f(x)) ....: | 10000 | -0.000031 | | 10001 | -0.000097 | | 10002 | -0.000074 | | 10003 | +0.000017 | | 10004 | +0.000092 | | 10005 | +0.000083 | | 10006 | -0.000003 | | 10007 | -0.000086 | | 10008 | -0.000090 | | 10009 | -0.000011 | | 10010 | +0.000077 | which doesn't really produce a table header that's contiguous with the table entries. Perhaps you were trying to do something like: def f(x): return sin(x) / x def table(): print '| x | f(x) |' print '|-------------------|' for x in [10000..10010]: print '|%6i | %+f |'%(x, f(x)) So with the above two function definitions, we would get sage: table() | x | f(x) | |-------------------| | 10000 | -0.000031 | | 10001 | -0.000097 | | 10002 | -0.000074 | | 10003 | +0.000017 | | 10004 | +0.000092 | | 10005 | +0.000083 | | 10006 | -0.000003 | | 10007 | -0.000086 | | 10008 | -0.000090 | | 10009 | -0.000011 | | 10010 | +0.000077 | which I assume is what you want to show: a table header together with table entries. -- Regards Minh Van Nguyen Web: http://nguyenminh2.googlepages.com Blog: http://mvngu.wordpress.com --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
