Sentence examples for importance of the modified from inspiring English sources

In order to show the fundamental importance of the modified generalized Laguerre operational matrix of fractional integration, we apply it to solve the following multi-order FDE: D ν u ( x ) = ∑ i = 1 k γ j D β i u ( x ) + γ k + 1 u ( x ) + f ( x ), in  Λ = ( 0, ∞ ), (19).

This highlights the importance of the modified electronic structure of Pd/SnBi3SG in designing efficient charge separation as well as high quantum yield value (Φ ∼ 0.1 ± 0.05) exceeding that of Pd/BiSG (3 × 10−2) and SnBi3SG (10−2) photocatalysts.

Our observation that 61%% of the quantified ubiquitylation sites were on proteins whose global relative abundance levels were up- or down-regulated underscores the importance of analyzing the modified and unmodified forms of ubiquitylation substrates in studies that are designed to identify ubiquitylation sites that have potential functional significance.

The importance of capturing the modified vortex noise accurately is shown.

The greater importance of the slightly modified virus is that it allowed researchers from the W.H.O. and the Centers for Disease Control and Prevention in the United States to document that the virus almost certainly was passed from person to person.

The importance of the derived modified pdfs for such CS systems could be as great as that of the classical Wishart's Goodman's pdfs for systems with arbitrary receive channels.

If we theoretically focus on the importance of extreme lows, the modified criterion of Stiles et al. appears to be useful.

The findings highlight the importance of modifying the traditional expressive writing protocol to enhance its efficacy and reduce potential detrimental effects.

This finding supports the functional importance of proteolytically modified type I collagen in the vasculature but also raises the intriguing possibility that reduced αvß3 integrin signaling in SMCs, in addition to vascular stiffening, contributed to the hypertension observed in Col1a1 r/r mice.

This early work highlighted the importance of modifying the CNT surface for enhanced neurite outgrowth, a critical feature for enhanced in vivo performance in terms of biocompatibility, neuron growth and neurite/axonal elongation.

The importance of modified gravity for late acceleration of the universe has been reviewed by [7, 8].