Tennis

Source: Wikihow

Parts of Court

Scoring

Game

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

$a,b$	0	1	2	3	4+
Call	Love	15	30	40	Deuce/Advantage/Game

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

Set

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

Set Tie Breaker

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

Match

Best of 3 or 5