Sentence examples for is not extendible from inspiring English sources

But obviously the pair of solutions (M, gab) and (M*, g*ab) violates the condition that determinism was supposed to guarantee as Ψ is not extendible to an isometry from D+ onto D+.

Since each linear character of G ″ is not extendible to G ′, μ ( 1 ) = 1, which implies that G ″ has exactly four linear characters and one non-linear irreducible character.

Suppose all the non-linear irreducible characters of G ′ are not extendible to G. By Lemma 2.3, G is a Frobenius group with a kernel G ′ and a cyclic complement L of order p. Furthermore, we have that G has at most p + 1 non-linear irreducible characters.

Therefore, all the elements of L ∖ are not extendible to G. It is easy to check that G ″ = G ″ g = ⋯ = G ″ g p − 1 = φ for each g ∈ G ∖ G ′, where λ δ ∈ L. So G vanishes at the elements where φ vanishes.

If χ = θ G, then χ vanishes on G ∖ G ′, which implies that G has at most p + 1 irreducible characters induced from irreducible characters of G ′. Since the non-principle linear irreducible characters of G ′ are not extendible to G, one has that | G ′ / G ″ | = k p + 1, where 0 < k ≤ p + 1.

Also, CGPredictor is highly extendible for user modification with any of the functions which can be implemented by R. CGPredictor is not limited to DNA methylation microarrays and is scalable to various kinds of microarray analysis problems.

Our findings for humans and macaques may not be readily extendible to other species such as the dairy cow given that the incidence of cytoplasmic crescent formation is species-specific.

Today's holding is limited to training the clergy, but its logic is readily extendible, and there are plenty of directions to go.

Note that φ is also extendible to.

The model has general validity and it is easily extendible to other interlocking and ATP systems.

HINT is also extendible to different hardware platforms of sensor nodes.