Sentence examples for exists the inverse of from inspiring English sources

From this theorem, there exists the inverse of H ∗ T H ∗, and therefore we can obtain the exact solution of (4) by (7).

If the spectral radius or, more roughly, the norm of the operator are less than one, then there exists the inverse bounded operator which is of course positive.

We also give a sufficient condition under which the Green's operator associated with μ exists, and is the inverse of −Δμ.

Also, in t-NMF, p<2 causes the same behavior because the term (sigma _{ij,n}^{p-2}) exists in (63), where the inverse of (sigma _{ij,n}^{2-p}) (2−p>0) mitigates the low-rankness.

If the inverse of exists, then various kinds of means can be defined by ( 3.14 ).

If the inverse of exists, then from (2.20) we get (2.27).

An algorithm for a quantum computers exists, that can figure out the inverse of Elliptic Curve Discrete Logarithm in polynomial time.

Thus, if the inverse dose rate effect exists, the risk of lung cancer is underestimated in our risk assessment.

The exponential behavior exists for time delays longer than the inverse of the nearest neighbor resonance spacing.

If the inverse of (f /g") exists, then various kinds of means can be defined by (9).

The proposed method is evaluated by solving two typical problem existed in the inverse problem of the impact-force reconstruction.