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lt

Define less than relation

Syntax

A < B
lt(A,B)

Description

A < B creates a less than relation.

lt(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 less than 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 =
 1
 2
 

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

syms x
cond = abs(sin(x)) + abs(cos(x)) < 6/5;

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

for i = 0:sym(pi/24):sym(pi)
  if subs(cond, x, i)
    disp(i)
  end
end
0
pi/24
(11*pi)/24
pi/2
(13*pi)/24
(23*pi)/24
pi

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 less than 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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