1+1

b=3

?b

a=4;
?a

(* ctrl + /*)

(88/22)

(*ctrl ^ *)
(3^3)

(x^4)

(*ctrl + 2*)
(Sqrt[9])

Sin[5]

Sin[5+Pi]

Head[5]

Head[5.]

Head[5+I]

Sin[5.]

Sin[5.]

-0.9589242746631385`

(*enumerate expr*)
N[Pi]

(*overloaded functions*)
N[Pi,100]

α

(*esc a esc gives us α*)
α

α

Integrate[((Sin[2x])/((x^3)+x)),x]

Plot[x*Sin[(x^(-1))],{x,-2Pi,2Pi},PlotRange->Full]

kyncl is a bad man and bad teacher

kyncl*is*a*bad*man*and*bad*teacher

Solve[(x^2)==1]

x=1;
ClearAll[x]
Solve[(x^2)==1]

(x^2)==1

Plot[x*Sin[(x^(-1))],{x,-2Pi,2Pi},PlotRange->Full,PlotStyle->Red]

plt1=Plot[x*Sin[100*Exp[-x]],{x,1,10},PlotRange->All,AspectRatio->1,PlotStyle->Purple,AxesLabel->{"x","f[x]"},GridLines->All];

Plot[x*Sin[100*Exp[-x]],{x,1,10},PlotRange->All,AspectRatio->1,PlotStyle->Purple,AxesLabel->{"x","f[x]"},GridLines->Full]

Show[plt1,Plot[x^2,{x,1,10}]]

{1,2,3}

Table[i,{i,1,10}]

Table[x^i,{i,1,10}]

a=Table[i,{i,1,10}]

?a

Table[ape,{12}]

Table[(i^2),{i,5}]

Table[i,{i,2,5}]

Table[i,{i,0.3,5,0.5}]

exprs=Table[(x^(2i-1)),{i,1,5}]
Plot[exprs,{x,-1,1}];

Plot[{x,(x^3),(x^5),(x^7),(x^9)},{x,-1,1}];

Plot[{Sin[x],Cos[x]},{x,-Pi,Pi},AxesLabel->{"x","Sin[x] Cos[x]"},PlotStyle->{{Red,Dashed},{Blue,Thickness[0.003]}},GridLines->{{((-Pi)/2),0,(Pi/2)}, {((-1)/(Sqrt[2])),0,(1/(Sqrt[2]))}}]

plt1=Plot[x*Sin[100*Exp[-x]],{x,1,10},PlotRange->All,AspectRatio->1,PlotStyle->Purple,AxesLabel->{"x","f[x]"},GridLines->All];

Show[plt1,Plot[Exp[-0.1x],{x,1,10},PlotStyle->Blue],PlotLabel->"2plots"]

data=Table[{x,Sin[x]},{x,0,2Pi,0.2}];
pltdata=ListPlot[data,PlotStyle->{PointSize[0.02],Red}];

Show[Plot[Sin[x],{x,0,2Pi},AxesLabel->{"x","Sin[x]"}],pltdata]

?___

ClearAll[f];
f[x:_]:=(x^2);
{f[x],f[5]}

ClearAll[f];
f[x]:=(x^2);
{f[x],f[5]}

ClearAll[f];
f[x_]:=(x^2);
{f[x],f[5]}

ClearAll[a];
a[n_]:=a[n-1]*n;
a[0]:=1;

Trace[a[3]]

3!

ClearAll[f]
f[x_Integer]:=x^2

f[2.5]

f[2]

ClearAll[f,test]
test[x_]:=x<2;
f[x_]:=x^2;
f[x_?test]:=x;
Plot[f[x],{x,0,4}]

ClearAll[f];
f[x_]:=0.5x;
f[x_Integer]:=(x^2);
f[x_?EvenQ]:=(Sqrt[x]);
f[2]:=0;
{f[2],f[3],f[4],f[Pi]}

ClearAll[f];
f[{x_,y_}]:=(x^y);
f[{x_,y_Integer}]:=(y^x);
f[{1,y_}]:=y;
{f[{Pi,E}],f[{Pi,3}],f[{1,100}]}