Tennis

Source: Wikihow

Parts of Court

Scoring

Game

Let $a, b =$ points scored by players 1 and 2, respectively

$a = b = x < 3 \rightarrow$ "$x$ - all"
$a = b \ge 3 \rightarrow$ Deuce
$a = b + 1 , ~ b \ge 3\rightarrow$ "Advantage to player 1"
$a = b + 2, ~ a \ge 4 \rightarrow$ "Game won by player 1"

Set

Let $a, b =$ number of games won by players 1 and 2
$a \ge 6 \land a \ge b + 2 \rightarrow$ player 1 wins the set
$a = b = 6 \rightarrow$ play tiebreaker

Set Tie Breaker

Let $x, y =$ scores of players 1 and 2 in the tiebreaker
$x \ge 7 \land x \ge y + 2 \rightarrow$ player 1 wins the set

Match

Best of 3 or 5