Sentence examples for additionally suppose from inspiring English sources

From now on we additionally suppose that (X) is paracompact.

Additionally suppose that x and y are decreasing and satisfy conditions (1.7), (1.8).

In order to prove our main results, we additionally suppose the following assumptions: (2.1).

Remark 2.3 If, in the above remark, we additionally suppose that x ∗, y ∗ ∈ Fix ( T ) ⇒ ( x ∗, y ∗ ) ∈ E ( G ), then Fix ( T ) = S Fix ( T ) = { x ∗ }.

Additionally suppose that (minmathbb{N}), (x_{i},y_{i}in [ a,b ] ) and (w_{i}inmathbb{R}) for (iin{1,2,ldots,m}).

Additionally suppose that (mathbf{x}, mathbf{y}in[ a,b]^{m}) are two decreasing m-tuples and (mathbf{w}inmathbb{R}^{m}) which satisfy conditions (1.4), (1.5).

Histotype A, which is assigned to Cymatosaurus, the oldest diagnostic sauropterygian and additionally supposed to represent the earliest pistosaur, shows an initial stage of this radial FLB type.

Additionally, we suppose μ s >μ d, which is naturally well accepted.

Second, handling many different e-coins, if we work with many vendors this, additionally, could suppose tidying up an important of e-money that cannot be used with other vendors.

Additionally, the supposed filaments resulting from this division were reconstructed with a rounded tip.

Suppose additionally that (4.8).