Sentence examples for in fact noting from inspiring English sources

In fact, noting that, and using the Hölder inequality, we have (27).

In fact, noting the definition of (t^{(alpha)}=frac{Gamma(t+1)}{Gamma(t+1-alpha)}), it is easy to observe that (t^{(alpha-1)} t^{ 1-alpha)}neq1).

In fact, noting that ∥ x n + 1 − q ∥ < ∥ y n − q ∥, we have d = lim inf n → ∞ ∥ x n + 1 − q ∥ ≤ lim inf n → ∞ ∥ y n − q ∥ ; on the other hand, it follows from (3.2) that lim sup n → ∞ ∥ y n − q ∥ ≤ d, which implies that lim n → ∞ ∥ y n − q ∥ = d.

Musk stressed the production challenges repeatedly in his initial comments regarding the car, in fact, noting that the manufacturing process for something as complex as this vehicle is bound to occur on an S-curve, and that there are "10,000 unique components in the car," with production speed ultimately bound to move only "as fast as the slowest one".

By using Lemma 2.5, in order to complete the proof, it suffices to show that η n k → 0 ( k → ∞ ) implies that lim ¯ k → ∞ δ n k ≤ 0. In fact, noting condition (iii), we get from η n k → 0, ∥ z n k − T 1 z n k ∥ → 0 and ∥ T 1 n k z n k − T 2 T 1 n k z n k ∥ → 0 all hold.

In fact, noting that NICD dynamics are strongly pulsatile, the above integrals will likely be dominated by the number of sampled NICD peaks in a given pool.

In fact, notes Smith, the dodo crops up in Tradescant's catalogue for his museum in Vauxhall in 1656.

"To Daniel Owen [82 mins] the Ganges is nowhere near Trivandrum, quite the opposite end of the country in fact," notes Usha Sundaram.

(Wood, in fact, notes that a large majority of Muslims reject ISIS, and neither Cohen nor Wood entirely dismisses political and socioeconomic contributors to religious extremism).

This is in fact noted by Kripke himself.

Hundreds of millions of datapoints per month, in fact, notes the CEO.