Sentence examples for continuum of zeros from inspiring English sources

Next, we apply our combinatorial lemma to prove the existence of a continuum of zeros for a parameterized excess demand mapping (Theorem 8).

The result which is common for our proofs of the existence of zeros for excess demand mappings, continuum of zeros for parameterized excess demand mappings, and for a proof of Sperner's lemma is the following combinatorial Lemma 2, which generalizes the combinatorial lemma presented in [1].3.

Then we apply the generalized lemma to prove: (1) a theorem on the existence of a zero for an excess demand mapping, (2) the existence of a continuum of zeros for a parameterized excess demand mapping, (3) Sperner's lemma on labelings of triangulations.

Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students.

The application of a quantizing magnetic field B transforms the zero-field continuum of states into a set of unequally spaced Landau levels (LLs) with a distinct behaviour.

The study analyzed friendship ties among 84 subjects (ages 23 to 38) in a business management class by asking them to rank one another on a five-point continuum of closeness from "I don't know this person" to "One of my best friends". The feelings were mutual 53percentt of the time while the expectation of reciprocity was pegged at 94percentt.

Two-way communication and two-way education between everyone touching the continuum of care around a diagnosis is of paramount importance for these broader programs to be successful.

Eiko and Koma, the Japanese avant-gardists, win the runner-up best-title award for "When Nights Were Dark," their 25th-anniversary meditation on the continuum of time (Nov. 29-Dec. 3).

There's no magic to January 1st, it's all a continuum of time.

For example, OCCs for Items G2, G5, and G16 do not span the continuum of possible total scores as scoring options 2 to 7 begin between the 5th to 25th percentiles.

The stochastic switching patterns of gpW are perfectly amenable to a two-state description, in contrast with the continuum of states that one might expect for a barrierless (downhill) protein.