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To solve the problem mentioned above, a two-dimensional correlation interferometer algorithm based on new idea of dimension separation is proposed.
The idea of dimension reduction is explained and simulated in Section 4. In Section 5, the optimal spring potential function under different noise distributions is explored via extensive simulations.
For the CPAM I is sensitive to different auction formats, we come up with CPAM II which can improve the performance of CPAM I. Broadly speaking, CPAM integrates the idea of dimension reduction from scoring auction into that of incentive contract design from contract theory to solve the problem of ex post moral hazard.
With this idea of dimension, one generalizes the classical definition of Fredholm operator.
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The researchers and clinicians working on DSM-V had several ambitious goals, including using new findings from neuroscience and genetics to shape diagnoses, minimizing vast diagnostic dead zones of abnormal behavior that fall in the cracks of current criteria, and introducing the idea of "dimensions" to reflect varying degrees of symptom severity and the overlap among disorders.
Although this simplified model has some differences from our 2D to 3D simulation and application, it still sheds some light on the fundamental ideas of dimension expansion.
However, the idea of sufficient dimension reduction is to attain a sufficient subspace, which includes all of the information we need.
Advanced cosmological theories for lay folk who are a bit baffled by the idea of 10 dimensions.
India criticised proposals by Mr Jamali on May 6th for not going far enough on removing restrictions on trade, and for saying nothing significant on cross-border terrorism.That gives some idea of the dimensions of Mr Powell's "moment of opportunity".
Fold that half in half, and you get a better idea of the dimensions of this seven-table wine bar, formerly the takeout shop of Verbena, now an appealing niche with a small menu and a big wine list that specializes in half bottles.
The ∑ UiAHX, i index gives an idea of the dimensions of the heat exchangers and thus is also a global indicator of the cost of the heat transfer equipment.
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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