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As the polymer concentrations in aqueous solutions increase, the aggregated polymer exhibited more defined ordered structures than random structures observed at low polymer concentrations.
Having defined ordered pairs, one can now define ordered triples $(a,b,c)$ as $(a , b,c)$, or in general ordered $n$-tuples $a_11,\ldots,a_n)$ as $a_11, (a_2,\ldots,a_n))$.
Russell frequently said in English that relations could be understood as sets of pairs (or longer tuples) but he had no implementation of this idea (in fact, he defined ordered pairs as relations in PM rather than the now usual reverse!) For a discussion of the history of this simplified type theory, see Wang (1970).
Upon binding to a target molecule, the disordered structure is converted to a defined ordered structure or remains partially or even fully disordered.
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Using our coin example, the actual placement of items is less important than how we define ordered verse disordered.
Using the defined order, one can define the majorization [29].
Let (e_0<e_1<e_2<cdots ) be all elements of (mathsf {B}_infty ) taken in the <span class="lh">defined order.
In parallel, relations are created in a defined order between each of the respective attribute values.
Customers request specifying product options later than required by the currently defined order fulfilment process of the OEM.
(3) The PCs were used as a SVM model input following a stepwise procedure using the defined order.
Putting the 'well ordered' case on adequate auxiliary functions, it allows that lower and upper solutions could be well ordered, by reversed order or without a defined order.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com