(* --- *)
(* jupyter: *)
(*   jupytext: *)
(*     text_representation: *)
(*       extension: .wolfram *)
(*       format_name: light *)
(*       format_version: '1.5' *)
(*       jupytext_version: 1.14.4 *)
(*   kernelspec: *)
(*     display_name: Wolfram Language 12 *)
(*     language: Wolfram Language *)
(*     name: wolframlanguage12 *)
(* --- *)

(* +
JupyterImageResolution = 84;
JupyterOutTextForm = "TeX";

TeX[x_] := ToString[TeXForm[x]]
(* -

D[D[f[x],x],x] //TeX

Series[f[x, y], {x, x0, 2}, {y, y0, 2}] //TeX

Exp[Sum[2*k^j*y[j],{j,1,Infinity}]]

Sum[2*k^j*y[j],{j,1,Infinity}]

Replace[x->1/y][Sum[x^n/n!,{n,0,Infinity}]] //TeX

Replace[x^2 -> a + b][x^2]

a=Sum[x^n/n!,{n,0,Infinity}] /.x->Sum[2*k^j*y[j]+(y[j]-1/(j*k^j))*d[j],{j,1,3}]

a/.y[2]->0/.y[3]->0

Series[a,{y[1],0,10}]

Coefficient[Series[a,{y[1],0,10}],k] //TeX

For[i = 0, i < 4, i++, Print[{i}]]

data = Table[i + j, {i, 1, 5}, {j, 1, 4}]

MatrixForm[data]

ListLinePlot[data, AxesOrigin -> {0, 0}]



StarcoderdataJupyterScriptsDedupFiltered