Sentence examples for left inverse from inspiring English sources
noun
A related function that, given the output of the original function returns the input that produced that output.
- In order for a function to have a left inverse it must be injective.
Proof First, let us show that the operator Q + λ has a left inverse.
where the symbol "L" stands for the (non- unique left inon- uniqueatrix poleftminversethbf {{underline {Sigma }}}left (q^{-1}right)).
where superscript "L" denotes every non-unique left inverse of matrix polynomial (mathbf {{underline {Sigma }}}^{mathrm {L}}left (q^{-1}right)).
Left inverse model can be considered as a perfect dynamic compensation of the dynamic thrust measurement system, and in practice, it can be approximated by RBF-NN based on least mean square (LMS) algorithms.
Using the fact that (^{c}D_{0,t}^{beta}) is the left inverse of (I_{0,t}^{beta}), we can easily get our required result.
The axioms may be weakened to assert only the existence of a left identity and left inverses.
We start with the classical minimum-norm right and least-squares left inverses known as T-inverses in the polynomial case.
respectively, where (non- unique right anon- uniqueerightof the polynomiandmatrix (mathbf {{underleft {Sinversesleft (q^{-1}right)) include the degrees of freedom.
It should be emphasized that the unique right and left inverses including the Hermitian conjugates are not applicable in the time-domain signal perfect reconstruction approach presented here [23].
Two versions of solutions of (upbeta) can be derived from (10) regarding left pseudo-inverse or right pseudo-inverse.
