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Why can't a contintuity principle guarantee the existence of a solution here?
Therefore by the Banach Contraction Mapping Principle guarantee that has a unique fixed point, say.
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The same principle guaranteed the comparable accuracy.
The internal consistency principle guarantees consistency among different perspectives of an atomic model, whereas the external consistency principle guarantees that different components in a coupled model are consistent.
This principle guarantees the overall stability and the reduction of interactions between the position and force subcontrollers.
They believed that some as yet undiscovered hereditary principle guaranteed that the Anglosphere – the white Commonwealth plus America – promoted free trade and prosperity.
This week, after 18 years of dithering and doubts, the Duma (the lower house of parliament) voted to ratify WTO entry, in principle guaranteeing Russian products access to world markets.
The trouble is that this exposes part or all of their retirement income to so-called investment risk a risk highlighted by recent falls in share prices.In principle, guarantees can mitigate the riskiness of individual retirement saving.
Now South decided that he was going to bid a slam, so he threw in a fake five-heart control-bid (cue-bid), which in principle guaranteed first-round heart control (the heart ace or a heart void).
From this claim, the Leray-Schauder alternative principle guarantees that.
Banach's Contraction Mapping Principle guarantees that has a unique fixed point, say, that is,.
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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