Sentence examples for a well ordering from inspiring English sources

Since > is a well ordering, there must exist s 1 ∈ S 1 such that f ¯ = a 1 s 1 ¯ b 1 for some a 1, b 1 ∈ X ∗.

A well ordering > on T is called monomial (admissible) whenever α > β ⇒ u | α > u | β for any u ∈ T. Assume that T is equipped with a monomial ordering.

It follows that h ¯ = a g ¯ b > a h ¯ b and so we have the infinite descending chain h ¯ > a h ¯ b > a 2 h ¯ b 2 > a 3 h ¯ b 3 > ⋯, which contradicts the assumption that > is a well ordering.

The notion of reducing bizarre life experiences to books or exhibitions conforms to Ms. Calle's desire for a well ordered life.

The action builds to a mighty set piece in Indonesia, centered on a well ordered, sweetly traditional, mass-mobilized and synchronized folkloric spectacle, obviously officially approved, that's reminiscent of something organized for visiting heads of state.

OUM is based on so-called chalcogenide materials, the atomic structure of which can be changed reversibly from a well ordered crystalline state to a disordered, amorphous state by applying a burst of electrical current.

This indicates a well ordered supercooled fluid consisting of hydrogen bonded water structures.

The XRD pattern of Li[Ni1/3Co1/3Mn1/3]O2 revealed a well ordered hexagonal layered structure with low cation mixing.

Anatase nanotube arrays were grown by anodization with high crystallinity and a well ordered nanotubular structure.

Lemma 2.1 Let ( x α ) α ∈ Λ be a family in E having a well ordered index set Λ in R ∪.

The assembly of all the anacardic-acid-capped CdS, CdSe and CdTe nanoparticles is in a well ordered, mosaic-type arrangement of particles (Fig. 4).