Sentence examples for we henceforth write from inspiring English sources

For notational brevity, we henceforth write [ y(x)]⊤ to mean [ y(x 1 ), …, y(x r )]⊤.

I will henceforth write the name of the current president of North Korea as Kim Jong-il, which will cause readers to pronounce his name correctly.

Twenty-six years later, when the Ottoman sultan Süleyman I took Baghdad, Fuzuli attempted to curry favour with his new masters and henceforth wrote in the name of the Ottoman sovereign.

Henceforth we write, so that can assume only the values,, with probabilities,, defined in (2.2)–(2.7), respectively.

Henceforth, we write to denote the image of the original torus into the 2-complexo through the identifications above.

For uniformity of the literature, henceforth, we shall write C p instead of X p and C ∞ instead of X ∞.

Henceforth we will briefly write (G^) (or (G^)) instead of (G^{sigma}) if the sign of each even cycle is negative (or positive).

If m is even, then essentially, there exist two orientations σ 1 (the sign of the even cycle is positive) and σ 2 (the sign of the even cycle is negative) such that ρ s ( G σ 1 ) = ρ ( G ) and ρ s ( G σ 2 ) < ρ ( G ). Henceforth, we will briefly write G − (or G + ) instead of G σ if the sign of each even cycle is negative (or positive).

Thus we will omit mention of the measure henceforth and write L 2 O (M ) for the Bergman space.

We henceforth work under the following assumption.

This is why we henceforth focus on functional process flexibility.