Sentence examples for leading to a proof from inspiring English sources

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The argumentation leading to a proof that the rational faculty is not corporeal attempts to derive the nature of the soul from the fact of immediate self-awareness.

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As an application, functional calculus estimates for bounded operators with at most polynomially growing powers are derived, leading to a new proof of classical results by Peller from 1982.

The method developed in this section can in fact be generalized to arbitrary curves, leading to a more direct proof of the finiteness of (_nmathrm{Br}(K _V) for a suitable explicitly defined set (V) of discrete valuations of an arbitrary finitely generated field (K); details will be published elsewhere.

The results in this paper show the fabrication procedure at each stage, leading to a structure designed to demonstrate proof of principal of our approach.

In water immersion, the ultimate strength deteriorates faster than the proof stress level leading to a decreasing damage tolerance of the vinyl-ester composite laminates.

The proof of concept is made experimentally using a cheap commercially available actuator on a simply supported plate, leading to a good dynamic range from 100 Hz to 1 kHz.

This proof of principle study demonstrates that inhibition of the JAK2/STAT3 pathway by the addition of CYT387 suppresses the 'stemness' profile in chemotherapy-treated residual cells in vitro, which is replicated in vivo, leading to a reduced tumor burden.

One possible development is a changing of allegiances leading to an ex-girlfriend or friend of one of the suspects coming forward with proof of a confession.

More recently, the interior surface of eVLPs was specifically functionalised with a variety of molecules including fluorescent dyes, leading to the proof of concept demonstration of tumour targeting with eVLPs [ 25 ].

Page D7 Give That Old Deck New Life D2 A Paradise in Upstate New York D4 OBITUARIES DETLEF GROMOLL, 70 A mathematician who helped lay the foundations for studying the abstract distortions of shapes in three or more dimensions, he did research that formed some of the groundwork leading to the proof of the Poincar?onjecture, one of the most famous and intractable problems in mathematics.

Next, we take the preliminary steps leading to the proof for existence and uniqueness of the solution to DRWL for r 1<r 2 and P E R 1<P E R 2. For the particular case when r 1=r 2 and P E R 1=P E R 2, we refer the reader to [43].

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