Yes, algolib's latex is much-much better. I wonder why it was not included in Maple, together with equivalent and other algolib's parts significantly improving Maple math functionality.

Alec

It is not 88^(1/3), it is 8*8^(1/3) with an invisible multiplication sign. It can be simplified to 16 using simplify.

Alec

I agree.

In both examples, the latex code producing the same expression as Maple gives in the output in Classic, or 2D-input in Standard would be good - for using latex to convert a worksheet to pdf. I could write it if necessary (and I did that, I think, at least 3 or 4 times in earlier posts in various places during last 6 or 8 years, including few bug reports that I used to submit at that time) - but everybody else could do that, too (except Maple).

Edit: By the way - I am not complaining. I use Maple for entertaining purposes and every piece of it brings a lot of fun.

Alec

Converting to FormalPowerSeries is relatively new to Maple, and works only in a limited number of cases. It would, certainly, be very useful if it worked for much larger class of functions.

The series -log(1-2*x) has coefficient 2^k/k at x^k, and dividing by (1-x) is the same as multiplication by (1+x+x^2+x^3+...) which makes the coefficient at x^n being equal to the sum of coefficients at 1, x, x^2,..., x^n in the original series.

Alec

Converting to FormalPowerSeries is relatively new to Maple, and works only in a limited number of cases. It would, certainly, be very useful if it worked for much larger class of functions.

The series -log(1-2*x) has coefficient 2^k/k at x^k, and dividing by (1-x) is the same as multiplication by (1+x+x^2+x^3+...) which makes the coefficient at x^n being equal to the sum of coefficients at 1, x, x^2,..., x^n in the original series.

Alec

Just wanted to add an example of what I might consider being a perfect picture for this example, written in PostScript (without tickmarks and text),

%!PS-Adobe EPSF-3.0
%%BoundingBox: 36 36 324 396
%%Pages: 1
%%Page: 1 1
newpath 
72 144 moveto
144 0 216 72 288 360 curveto
3 setlinewidth
stroke
newpath 
72 72 moveto
288 72 lineto
1.5 setlinewidth
stroke
newpath
144 72 moveto
144 360 lineto
stroke
%%EOF

It looks like that - myplot.pdf

Alec

PS For people unfamiliar with scientific publishing - lines in the eps should be about 1.5  times more thick than in the desirable output in the print, because of the printing process. Fonts should be also used of highest quality - preferably commercial of the Times family. Helvetica that Maple puts in the eps is absolutely unacceptable -Alec

It may look a little bit messy in Standard interface (especially in Document mode), but it looks OK in Classic.

Solution of differential equations in Classic vs. Standard, and in 1D input vs. 2D input, has a great advantage of reproducibility. Everything that has been typed is clearly seen and can be easily corrected if it was wrong. In Standard, or with 2D input, you never know what was actually typed, which mouse button was pressed (especially if a mouse has 5 buttons and 3 wheels), and what choice was used in the context menu, or Solving DE interactively.

Alec

It may look a little bit messy in Standard interface (especially in Document mode), but it looks OK in Classic.

Solution of differential equations in Classic vs. Standard, and in 1D input vs. 2D input, has a great advantage of reproducibility. Everything that has been typed is clearly seen and can be easily corrected if it was wrong. In Standard, or with 2D input, you never know what was actually typed, which mouse button was pressed (especially if a mouse has 5 buttons and 3 wheels), and what choice was used in the context menu, or Solving DE interactively.

Alec

I've just put maple.hdb, maple.ind, and maple.lib in classic folder in lib. Restarted Maple after that (i.e. shut it down and then started again), and did

libname:="C:\\Program Files\\Maple 12\\lib\\classic",libname;

and everything worked, even ?algolib (in Classic.)

Alec

I've just put maple.hdb, maple.ind, and maple.lib in classic folder in lib. Restarted Maple after that (i.e. shut it down and then started again), and did

libname:="C:\\Program Files\\Maple 12\\lib\\classic",libname;

and everything worked, even ?algolib (in Classic.)

Alec

Look at a similar case, f(x)=2^x. Then analogous calculations would give asymptotic 2^x/ln(2) while actual asymptotic is 2^(x+1). That gives a conjecture that in this case the asymptotic is 2^(n+1)/n.

Alec

Look at a similar case, f(x)=2^x. Then analogous calculations would give asymptotic 2^x/ln(2) while actual asymptotic is 2^(x+1). That gives a conjecture that in this case the asymptotic is 2^(n+1)/n.

Alec

Instead of style=point you could use filled=true.

Or just use Statistics:-ColumnGraph(sBox).

Alec

Instead of style=point you could use filled=true.

Or just use Statistics:-ColumnGraph(sBox).

Alec

What is sFunction? If you wanted to plot sBox, then plots[listplot](sBox) can be used, with style=point or without, or Statistics:-BarChart(sBox), or Statistics:-PointPlot(sBox), or Statistics:-LineChart(sBox), or Statistics:-ColumnGraph(sBox), or Statistics:-AreaChart(sBox).

Alec