Sentence examples for inverse proposition from inspiring English sources

We prove that the level sets of a probability density function correspond to minimum volume sets and also determine the conditions for which the inverse proposition is verified.

We assert that the inverse proposition of (ii) also holds.

However, the inverse proposition is not necessarily true, as is illustrated in the following example.

The following is just an inverse negative proposition of SFBFP.

This is the inverse of the proposition above, and it's hard to pull off.

Dr. Robert Spitzer's research on gays would have more credibility if he studied the inverse of his proposition: it would be interesting to find out if heterosexuals can make a successful change to becoming gay.

Moreover, we have (u^{mathfrak{d}_{p}}(0,z,epsilon) equiv0) and using the properties of the Fourier inverse transform from Proposition 9, we deduce that (u^{mathfrak{d}_{p}} t,z,epsilon)) solves the main equation (154) on (mathcal{T} times H_{beta'} timesmathcal{E}_{p}). Now, we proceed to the proof of the estimates (162).

Hence, using the properties of the Fourier inverse transform from Proposition 9, we deduce that the analytic forcing term (f^{mathfrak{d}_{p}} t,z,epsilon) = mathcal{F}^{-1}( m mapsto F^{mathfrak{d}_{p}} epsilon t,m,epsilon))(z)) solves the linear Cauchy problem (220), for all (t in mathcal{T}), all (z in H_{beta'}), and all (epsiloninmathcal{E}_{p}).  □.

where c-1 is the inverse element of c. Proposition 1.

We fix δ ∈ (0, 1) and denote by to be a right inverse of provided by Proposition 1.

and denote by a right inverse of Δ provided by Proposition 3 with.