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(d) We say that a machine (M') polynomially reduces (resp. is polynomially equivalent) to a machine M if the configuration equivalence problem of (M') polynomially reduces (resp. is polynomiall equivalent) to the configuration equivalence problem for M. .
We say that a machine (M') polynomially reduces (resp. is polynomially equivalent) to a machine M if the configuration equivalence problem of (M') polynomially reduces (resp. is polynomiall equivalent) to the configuration equivalence problem for M. A deterministic machine M is called universally halting if it does not have infinitely long computations (see [8]).
Finally, CBGA is applied to successfully solve the stiffness equivalence problem of the small-aspect-ratio aircraft wing to tapered beam.
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Our results suggest a natural analogue of the Shift Equivalence Problem in the context of C⁎-correspondences.
The explanation of the equivalence problem is given as follows.
Thus we just need to modify the Minsky machine ( MM _4) so that the new machine ( MM _m), (m>4), has the same complexity of the configuration equivalence problem but time function larger than (g(n^4)).
This could reduce the equivalence problem.
Students in the Intervention First group were able to maintain their scores on the test of equivalence problems 4 weeks after the conclusion of the intervention.
Moreover, for the Intervention First group, the level of performance on equivalence problems persisted for 4 weeks after the intervention ended, but the students' relational thinking was not maintained.
In Section 2, we make some preliminaries in Henstock-Kurzweil integral; in Section 3, we will prove the equivalence of problem (1.3) and an integral equation as well as existence and uniqueness of solution for the linear problem which associate with (1.3); in Section 4, we are devoted to the existence results for the singular problem (1.3).
The symmetry and continuity of the bilinear form (B {Omega},cdot,cdot)) and the properties of the set (K_{t}) provide (see [29]) the equivalence of problem (6) to the variational inequality xi_{t}in K_{t}, quad B(Omega, xi_{t},{chi}-xi_{t} geq int _{Omega} F({chi}-xi_{t}),{chi}-xi_{t} geql chintW,w, psi)in K_{Omega}
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com