Sentence examples for condition of inequality from inspiring English sources

Segregation, separation of groups of people with differing characteristics, often taken to connote a condition of inequality.

However, it is difficult to obtain the equality condition of inequality (26) for general convex bodies.

In what follows, we characterize the equality condition of Inequality (1.3) in Theorem 1.2.

According to the equality condition of inequality (3.1), we see that equality holds in (3.7) if and only if K and L, (K'), and L are dilates, respectively.

According to the equality condition of inequality (4.7), equality holds in inequality (4.8) if and only if K and L are dilates.

According to the equality condition of inequality (3.1), we see that equality holds in (3.11) if and only if K and (K') are dilates.

It should be noted that we impose boundary conditions of inequality type on the crack.

For bodies with ith continuous curvature functions, the equality conditions of inequality of Theorem 4.7 are easily obtained from Propositions 3.10 and 4.5.

By the equality conditions of inequality (3.4) and the second inequality of (1.8), we know that equality holds in the second inequality of (1.9) if and only if K 1, …, K n all are balls centered at the origin.

Remark 4.1 The conditions of inequality (4.3) can be relaxed to p ≥ 1 and 0 ≤ i < n − 1, while the conditions of the equality that holds can be given separately.

According to equality conditions of inequality (2.8), we get equality in (1.12) for if and only if and are dilates, and for if and only if and are homothetic.