Greater

Greater

a > b represents the mathematical 'greater than' relation. Use a >> b to check it in a script.

Usages

a > b or Greater[ a, b ]

a > b represents the inequality a > b, for example in a definition or an answer. In a script, it is not checked: 4 > 2 stays 4 > 2. It is checked when it is used as a condition in If or While, or inside Simplify.

Example in rendered
The inequality x > 4. x > 4 or Greater[ x, 4 ] x>4x > 4
Example in out
Not checked in a script. 4 > 2 4 > 2
Checked inside Simplify. Simplify[ 4 > 2 ] True
Checked as a condition. a := 5
If[a > 4]
  r := 1
Else
  r := 0
End		 r = 1

a >> b or GreaterEval[ a, b ]

a >> b checks directly whether the value of a is greater than the value of b, and returns True or False. If one of the values is not known, for example because it contains a variable, the comparison is left unevaluated.

Example in out
4 is greater than 2. 4 >> 2 True
2 is not greater than 2. 2 >> 2 False
Numerical values are compared. Pi >> 3.15 False
A decimal number and a fraction. 0.3 >> 1/3 False
Each element of a list is compared. {1, 5, 3} >> 2 {False, True, True}
Quantities with the same unit. Quantity[3,'m'] >> Quantity[2,'m'] True
Cannot be decided. x >> 4 x >> 4
Details
  • Different units: quantities with different units are not compared: Quantity[3,'m'] >> Quantity[200,'cm'] is left unevaluated.
  • Undecided conditions: a condition in If that cannot be decided is treated as True.

See also: GreaterEqual, Smaller, EqualsEval, If