ge

Define greater than or equal to relation

Syntax

A >= B
ge(A,B)

Description

A >= B creates a greater than or equal to relation.

ge(A,B) is equivalent to A >= B.

Input Arguments

A

Number (integer, rational, floating-point, complex, or symbolic), symbolic variable or expression, or array of numbers, symbolic variables or expressions.

B

Number (integer, rational, floating-point, complex, or symbolic), symbolic variable or expression, or array of numbers, symbolic variables or expressions.

Examples

Use assume and the relational operator >= to set the assumption that x is greater than or equal to 3:

syms x
assume(x >= 3)

Solve this equation. The solver takes into account the assumption on variable x, and therefore returns these two solutions.

solve((x - 1)*(x - 2)*(x - 3)*(x - 4) == 0, x)
ans =
 3
 4

Use the relational operator >= to set this condition on variable x:

syms x
cond = (abs(sin(x)) >= 1/2);
for i = 0:sym(pi/12):sym(pi)
  if subs(cond, x, i)
    disp(i)
  end
end

Use the for loop with step π/24 to find angles from 0 to π that satisfy that condition:

pi/6
pi/4
pi/3
(5*pi)/12
pi/2
(7*pi)/12
(2*pi)/3
(3*pi)/4
(5*pi)/6

Alternatives

You can also define this relation by combining an equation and a greater than relation. Thus, A >= B is equivalent to (A > B) & (A == B).

More About

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Tips

  • If A and B are both numbers, then A >= B compares A and B and returns logical 1 (true) or logical 0 (false). Otherwise, A >= B returns a symbolic greater than or equal to relation. You can use that relation as an argument for such functions as assume, assumeAlso, and subs.

  • If both A and B are arrays, then these arrays must have the same dimensions. A >= B returns an array of relations A(i,j,...)>=B(i,j,...)

  • If one input is scalar and the other an array, then the scalar input is expanded into an array of the same dimensions as the other array. In other words, if A is a variable (for example, x), and B is an m-by-n matrix, then A is expanded into m-by-n matrix of elements, each set to x.

  • The field of complex numbers is not an ordered field. MATLAB® projects complex numbers in relations to a real axis. For example, x >= i becomes x >= 0, and x >= 3 + 2*i becomes x >= 3.

See Also

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