Sentence examples for expressions without the from inspiring English sources

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It is also shown that for some specific constellations the EVM can be calculated via easy to use expressions without the need for a power series expansion.

Most existing aberration integrals for foil correctors are not suitable because of an integration by parts that had been applied to them, such to obtain expressions without the fourth derivative of the axial potential.

The Animation task reflects purely perceptual discrimination of facial expressions, without the need for labeling the expressions displayed on the face [ 25].

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These results suggest that the integration of shRNA-CX3 or -CX5 into the genome of these transgenic rice plants has caused sequence-specific interference with homologous OsCKX2 expression withouting affecting the expression of other CKX genes.

Generations of arts funding rounds in this country have been governed by the belief that, in a free and fair society, there exists the necessity for a culture to express itself – and experiment with that expression without the interference of the state, political parties or private interests such as corporations.

The silent emergency refers to the suppression of fundamental rights to freedom of thought and expression, without the declaration of an actual internal emergency as in 1975.

Note that this expression, without the constant, is similar to the initial form of the AR model [2].

Rationale: This approach allows the location of each line of input via an XPath expression without the risk of modification due to normalisation of the document.

We may also use the above expression without the final term as an approximation that assumes a distance of zero from the depot to the center of the tour area, which can be considered a lower bound.

In the present study, the decreased NADPH generation still met the requirement for higher β-galactosidase expression without the secreting process, which indicated that the high β-galactosidase production in G1HL was not NADPH limited.

The cocktail δ-integration strategy allows for modulation of multiple gene expression, without the exact knowledge of rate-limiting steps, and therefore, could be used as a promising strategy for the production of bio-based chemicals in recombinant S. cerevisiae.

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