Map

l={"a","b",3,4,{-5,x,Exp[Pi]},f[6],t[5]}

Map[h, l]

TreeForm[l]

TreeForm[Map[v,l]]

Map[v,l,{2}]

TreeForm[Map[v,l,{2}]]

TreeForm[Map[v,l,{1,2}]]

l

Map[{#,Sqrt[#]}&,l]//MatrixForm

?v

Map[v[#]&,l]
Map[v[#],l]
Map[v&,l]
Map[v,l]

Map[v,
{
{1,2,3},
{a,b,c}
}
]

Map[v,
{
{1,2,3},
{a,b,c}
},
{2}
]//MatrixForm

Map[v,
{
{1,2,3},
{a,b,c}
},
Infinity
]//MatrixForm

Map[v,l,Infinity]//TreeForm

MapAll[v,l]//TreeForm

exp= a + Sin[x Exp[1/2 Pi]] -Cos[y]

TreeForm[exp]

Map[v,exp]

Map[v,tt[11,22,kk]]

Map[v,tt[11,22,kk],Heads->True]//TreeForm

l=RandomInteger[{10^2,10^3},{19}]

Is there any prime number in l?

PrimeQ[6]

Map[PrimeQ,l]

Apply[Or,Map[PrimeQ,l]]

Map[{#,PrimeQ[#]}&,l]

Select[l,PrimeQ]

Is there any number divisible by 17?

Map[{#,Mod[#,17]==0}& , l]

Select[l, Mod[#,17]==0&]

l -> {n, Exp[n]}

Map[{#,N[Exp[#]]}&,l]

l -> Sin[#]^n &

Map[ Sin[#2]^#1& ,l]

Map[Sin[#]^n&,l]

Map[Sin[]^#&,l]

Map[Function[{x},Sin[x]^#]&,l]

Map[Function[{x},Sin[x]^#]&,l][[2]][3.]

Sin[3.]^299

Map[Function[{x},Sin[x]^#]&,l][[2]]//Head

lf={Sin, Cos,#^3-#&,Integrate[(1-x^2)/x^2,{x,1,#}]&}

Evaluate each function in Pi

Map[#[Pi]& ,lf]

l1={a,b,c,d,e};
l2={1,2,3,4,5};

Construct {a, b^2, c^3, d^4, e^5}
or
Construct {f[a,1], f[b,2], f[c,3], f[d,4], f[e,5]}

Map[
Map[Function[{x},x^#]&,l2]
]

Map[#1^#2&,{l1,l2},{2}]

Map[#1^#2&,{l1,l2},{2}]

f[{a,1}],f[{b,2}], ...

Transpose[{l1,l2}]

{l1,l2}\[Transpose]

Map[v,{l1,l2}\[Transpose]]

Map[#[[1]]^#[[2]]&,{l1,l2}\[Transpose]]

lf
lpts={0,1,Pi,E};
lexp={1/2,-2,3,-3};

Construct {f_1[pts_1]^exp_1,  f_2[pts_2]^exp_2, ... }

{lf,lpts,lexp}\[Transpose]

Map[v,  {lf,lpts,lexp}\[Transpose]]

Map[#[[1]][#[[2]]]^#[[3]]&,  {lf,lpts,lexp}\[Transpose]]

MapThread[v,{lf,lpts}]

MapThread[#1[#2]^#3&,{lf,lpts,lexp}]

MapIndexed[v,{a,b,c,"a","b","c",1,2,3}]//ColumnForm

l={{-5,x,Exp[Pi]},{f[6],t[5]},Pi}

MapIndexed[v,l,{2}]

MapIndexed[v,{a,b,c,"a","b","c",1,2,3}]

MapIndexed[f[#1,#2[[1]]]&,{a,b,c,"a","b","c",1,2,3}]