{1,2,Pi,  Sin[x+y],{3-I,Sin[3.0]},c}

{1,2,Pi,  Sin[x+y],{3-I,Sin[0.0]},c}//TreeForm

{1,2,Pi,  Sin[x+y],{3-I,Sin[3.0]},c}//FullForm

{1,2,Pi,  Sin[x+y],{3-I,Sin[3.0]},c}//Head

Head[{1,2,Pi,  Sin[x+y],{3-I,Sin[3.0]},c}]

{1,2,Pi,  Sin[x+y],{3-I,Sin[3.0]},c}[[3]]

sin[1,2,Pi,  Sin[x+y],{3-I,Sin[3.0]},c][[3]]

sin[1,2,Pi,  Sin[x+y],{3-I,Sin[3.0]},c]//TreeForm

?*Form

{{1,2,3},{a,b,c},{α,β,γ},{4,5,6}}//MatrixForm

{{1,2,3},{a,b,c},{α,β,γ},{4,5,6}}//ColumnForm

{{1,2,3},{a,b,c},{α,β,γ},{4,5,6}}//TableForm

{{1,2,3},{a,b,c},{α,β,γ},{4,5,6}}//FullForm

(3+6/1234)

%+1

%%-1

%17

Out[17]

{1,2,3,4}//FullForm

Apply[Plus,{1,2,3,4}]

Map[Sin,{1,2,3,4}]

Map[Plus,{1,2,3,4}]

3+

Plus[1]

Attributes[Plus]

Map[Head,
{1,2.,Pi, Sin[x+y],{3-I,Sin[3.0]},c,"another entry"}]

Head[1]

Map[f,{{1,2,3},{4,5,6}}]

Map[f,{{1,2,3},{4,5,6}}]//TreeForm

Map[f,{{1,2,3},{4,5}},{2}]//TreeForm

Map[f,sin[a+b+c,4]]

Map[f,{{1,2,3},{4,5}},2]//TreeForm

Map[f,{{1,2,3},{4,5}},{3}]

Map[f,{{1,2,3},{4,5}},{-1}]

Map[f,{{1,2,3},{4,5}},{0}]

f[{{1,2,3},{4,5}}]

f[{{1,2,3},{4,5}}]==Map[f,{{1,2,3},{4,5}},{0}]

Map[Apply[sin,#]&,{{1,2,3},{4,5}}]

1234!;

x = Pi/E

?x

b=x E

c := x E

?b

?c

Set (* = *)

SetDelayed (* := *)

b

c

?c

x

x=3

b

c

Exp[2+Sin[Pi]+Sin[1. Pi]]

Exp[2+Sin[Pi]+Sin[1. Pi]]//Trace

Exp[2+Sin[Pi]+Sin[1. Pi]]//Trace//TreeForm

Sin[1. Pi]

Exp[2+Sin[Pi]+Sin[1. Pi]]

TracePrint[Exp[2+Sin[Pi]+Sin[1. Pi]]]

Sum[1/i^2,{i,1,Infinity}]

Sum[1/i^3,{i,1,Infinity}]

Zeta[3]//N

Sum[1/i^3.,{i,1,Infinity}]

NSum[1/i^3,{i,1,Infinity}]

b

Clear[x,b,c]

b

?b

x+Sin[x]

Plot[x+Sin[x],{x,0,2Pi}]

Plot3D[x y+Sin[x],{x,0,2Pi},{y,0,1}]

?*Plot*

ParametricPlot[{Sin[t],Sin[2 t]},{t,0,2Pi}]

ParametricPlot3D[{Sin[t],Sin[2 t],Sin[4 t]},{t,0,2Pi}]

Integrate[x+Sin[x],x]

D[x+Sin[x],x]

NIntegrate[x+Sin[x],{x,.1,Pi}]

123+Sin[123]

N[123+Sin[123],123]

NIntegrate[x+Sin[x],{x,.1,Pi}]//Trace

myList=%5

myList[[-2]]
myList[[5]]

myList[[5,1]]
myList[[5,-2]]
myList[[5]][[1]]

Drop[myList,2]

Drop[myList,-2]

Take[myList,2]

Take[myList,-2]

Last[myList]

myList[[Length[myList]]]

myList[[2;;5]]

myList[[-1]]

myList[[;;]]

myList[[3;;-2]]

Join,Append, Prepend

Join[{1,2,3,4},{a,b,c}]

Join[{1,2,3,4,a},{a}]

Join[{1,2,3,4},{a}]

Union[{w,z,b,a,4},{a}]

Intersection[{w,z,b,a,4},{a}]

l1= {1,2,3,4};
l2={a,b,c};

Join[l1,l2]

l1
l2

l1 = Join[l1,l2]

l1

Append[{1,2,3,5},{a,b,c}]

{1,2,3,5,{a,b,{Pi,E}},{b,c,d}}//TreeForm

Map[
myF,
Flatten[
{1,2,3,5,{a,b,{Pi,E}},{b,c,d}}]
]

Map[
myF,
{1,2,3,5,{a,b,{Pi,E}},{b,c,d}},
{3}
]

?Union

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

Table[i^2,10]

Table[i^2,{10}]

Table[i^2,{i,10}]

Table[i^2,{i,1,10}]

Table[i^2,{i,10,-4,-2}]

Table[i^2,{i,{a,2,"paolo",Sin[Pi/2]}}]

ten=Table[i^2 j z,{i,10,-4,-2},{j,3},{z,2,3}]

Length[ten]

Dimensions[ten]

TreeForm[ten]

?Random

Table[
Random[Integer,{0,12}],
20
]

RandomInteger[{0,12}, 20]