$("#section1").add("p")

Selects #section1 and then adds all the paragraphs

$("p").filter(".important")

Selects all the paragraphs where the class = important

$("p").not(".important")

Excludes all the paragraphs where the class = important

$("p").filter(".important").end()

Cancels the filter operation

$("#section1").parent()

Selects #section1 and then adds all the paragraphs

$("p").parent("#section1")

Selects the parent element of all the paragraphs who ID is section1

$("#section1").children()

Selects all the children of #section1

$("#section1").children("p[b]")

Selects all the child paragraphs of #section1 with bold text

$("#section1").children("b")

Selects all direct children bold text. (None should come up)

$("#section1").find("b")

Finds all children and grand chilren bold text elements.

$("#section1 p").contains("Third")

Selects all our paragraphs which contain the text Third

$("#section1").next()

Selects the next sibling of #section1