I find seeing the results of Pig commands on sample data a good companion to the PigLatin language reference, so I setup some simple sample data and ran commands, capturing the results.Here's the sample data as well as the commands:

/data/one:

a   A   1
b   B   2
c   C   3
a   AA  11
a   AAA 111
b   BB  22

/data/two:

x   X   a
y   Y   b
x   XX  b
z   Z   c

Pig commands and their results:

one = load 'data/one' using PigStorage();
two = load 'data/two' using PigStorage();

generated = FOREACH one GENERATE $0, $2;
(a, 1)
(b, 2)
(c, 3)
(a, 11)
(a, 111)
(b, 22)

grouped = GROUP one BY $0;
(a, {(a, A, 1), (a, AA, 11), (a, AAA, 111)})
(b, {(b, B, 2), (b, BB, 22)})
(c, {(c, C, 3)})

grouped2 = GROUP one BY ($0, $1);
((a, A), {(a, A, 1)})
((a, AA), {(a, AA, 11)})
((a, AAA), {(a, AAA, 111)})
((b, B), {(b, B, 2)})
((b, BB), {(b, BB, 22)})
((c, C), {(c, C, 3)})

summed = FOREACH grouped GENERATE group, SUM(one.$2);
(a, 123.0)
(b, 24.0)
(c, 3.0)

counted = FOREACH grouped GENERATE group, COUNT(one);
(a, 3)
(b, 2)
(c, 1)

flat = FOREACH grouped GENERATE FLATTEN(one);
(a, A, 1)
(a, AA, 11)
(a, AAA, 111)
(b, B, 2)
(b, BB, 22)
(c, C, 3)

cogrouped = COGROUP one BY $0, two BY $2;
(a, {(a, A, 1), (a, AA, 11), (a, AAA, 111)}, {(x, X, a)})
(b, {(b, B, 2), (b, BB, 22)}, {(y, Y, b), (x, XX, b)})
(c, {(c, C, 3)}, {(z, Z, c)})

flatc = FOREACH cogrouped GENERATE FLATTEN(one.($0,$2)), FLATTEN(two.$1);
(a, 1, X)
(a, 11, X)
(a, 111, X)
(b, 2, Y)
(b, 22, Y)
(b, 2, XX)
(b, 22, XX)
(c, 3, Z)

joined = JOIN one BY $0, two BY $2;
(a, A, 1, x, X, a)
(a, AA, 11, x, X, a)
(a, AAA, 111, x, X, a)
(b, B, 2, y, Y, b)
(b, BB, 22, y, Y, b)
(b, B, 2, x, XX, b)
(b, BB, 22, x, XX, b)
(c, C, 3, z, Z, c)

crossed = CROSS one, two;
(a, AA, 11, z, Z, c)
(a, AA, 11, x, XX, b)
(a, AA, 11, y, Y, b)
(a, AA, 11, x, X, a)
(c, C, 3, z, Z, c)
(c, C, 3, x, XX, b)
(c, C, 3, y, Y, b)
(c, C, 3, x, X, a)
(b, BB, 22, z, Z, c)
(b, BB, 22, x, XX, b)
(b, BB, 22, y, Y, b)
(b, BB, 22, x, X, a)
(a, AAA, 111, x, XX, b)
(b, B, 2, x, XX, b)
(a, AAA, 111, z, Z, c)
(b, B, 2, z, Z, c)
(a, AAA, 111, y, Y, b)
(b, B, 2, y, Y, b)
(b, B, 2, x, X, a)
(a, AAA, 111, x, X, a)
(a, A, 1, z, Z, c)
(a, A, 1, x, XX, b)
(a, A, 1, y, Y, b)
(a, A, 1, x, X, a)

SPLIT one INTO one_under IF $2 < 10, one_over IF $2 >= 10;
-- one_under:
(a, A, 1)
(b, B, 2)
(c, C, 3)