Sentence examples for indefinite form from inspiring English sources

Whereas true jigs were quick and wild solo dances of indefinite form, gigues were danced by couples in formal ballet style.

Yet he is no Johnsonian stone-kicker; indeed, he is at pains, and great pains they are, to acknowledge the insubstantiality of a world - or "a creation", to use the term and indefinite form of the book's subtitle - which common sense insists is solid all the way down.

The minimum of indefinite quadratic form is derived in the form of innovations through utilizing Krein space orthogonal projection and innovation analysis approach.

Then, by introducing a Krein space stochastic system and applying re-organized innovation analysis approach, the minimum of indefinite quadratic form and its existence condition are derived.

A Krein space stochastic system with multiple fictitious outputs is constructed by associating with the minimum problem of the introduced indefinite quadratic form.

Moreover, the choice of an adequate non-degenerate indefinite quadratic form makes a non-degenerate central conic seen as a unit circle.

Via choosing the suitable fictitious outputs to guarantee the minimum of indefinite quadratic form is positive, the existence condition of the adaptive smoother and its analytical solutions are obtained in virtue of nonstandard Riccati difference equations.

By comprehensively analyzing the H∞ performance, Lipschitz conditions and unknown parameter's bounded condition, a positive minimum problem for an indefinite quadratic form is introduced such that the H∞ adaptive smoothing problem is achieved.

First, the design of H∞ smoother is equivalent to the problem that a certain indefinite quadratic form with respect to a new state-space constraints has a minimum and the smoother is such that the minimum is positive.

The fixed point theorem is used to show that a bounded representation in a separable Hilbert space which has an invariant indefinite quadratic form with finitely many negative squares is unitarizable (equivalent to a unitary representation).

By introducing an equivalent auxiliary system and a new certain indefinite quadratic form performance function, the system uncertainty can be appropriately considered into the new performance function and the fault estimator design is converted to the minimization problem of a quadratic form.