Re: ListPlot with row vectors

*To*: mathgroup at smc.vnet.net*Subject*: [mg28510] Re: ListPlot with row vectors*From*: "Allan Hayes" <hay at haystack.demon.co.uk>*Date*: Tue, 24 Apr 2001 01:48:47 -0400 (EDT)*References*: <9bvvbd$3s7@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Nicola, > I have 2xN matrix whose column vectors are points in the cartesian plane. I > would like to plot these points, and therefore I assumed that ListPlot would > do the job. But I realized that ListPlot only plots a one row vector against > integer numbers, or at the most a list of points in the form > {{x1,y1},{x2,y2},{}...} > The problem is that I have the points in the form > A={{x1,x2,x3,x4,x5,x6...},{y1,y2,y3,y4,y5}}. > How can I turn my matrix into a form that Mathematica can use, so to plot > the points on the plane? A = {{2,1, 1, 1, 2, 1}, {0, 0, 1, 3, 0, 1}} {{2, 1, 1, 1, 2, 1}, {0, 0, 1, 3, 0, 1}} A1=Transpose[A] {{2, 0}, {1, 0}, {1, 1}, {1, 3}, {2, 0}, {1, 1}} > One more questions, if you don't mind. How can I have the starting matrix A > contain only unique points? In other words, there should be no repetitions > of the same point in the matrix. If you only want to plot the points then theire order is not important, so you can use A2= Union[A1] {{1, 0}, {1, 1}, {1, 3}, {2, 0}} To remove repeats withou altering the order we can use Carl Woll's technique: RemoveRepeats[x_List]:=Block[{i},i[n_]:=(i[n]=Sequence[]; n); i/@x]; A3= RemoveRepeats[A1] {{2, 0}, {1, 0}, {1, 1}, {1, 3}} -- Allan --------------------- Allan Hayes Mathematica Training and Consulting Leicester UK www.haystack.demon.co.uk hay at haystack.demon.co.uk Voice: +44 (0)116 271 4198 Fax: +44 (0)870 164 0565 "Nicola" <pasquino at seas.upenn.edu> wrote in message news:9bvvbd$3s7 at smc.vnet.net... > I have 2xN matrix whose column vectors are points in the cartesian plane. I > would like to plot these points, and therefore I assumed that ListPlot would > do the job. But I realized that ListPlot only plots a one row vector against > integer numbers, or at the most a list of points in the form > {{x1,y1},{x2,y2},{}...} > The problem is that I have the points in the form > A={{x1,x2,x3,x4,x5,x6...},{y1,y2,y3,y4,y5}}. > How can I turn my matrix into a form that Mathematica can use, so to plot > the points on the plane? > > One more questions, if you don't mind. How can I have the starting matrix A > contain only unique points? In other words, there should be no repetitions > of the same point in the matrix. > > Please *post* and *email* your replies. > Thanks for your help! > > Nicola > > >