Sentence examples for exists on the boundary of from inspiring English sources

Let K = (k1,..., k p ) and assume there exists an open box B δ * K0) = { K ∈ ℝ p | | k i - k0, i | < δ* for all i} contained in D such that For all K ∈ (K0), ℛ K) > 0; There exists on the boundary of B δ * (K0) such that ℛ = 0; There exists a path Γ ending at in D\ B δ * (K0) such that for all points on the path ℛ K) < 0. The sets D, B δ * (K0), and the path Γ are illustrated in Figure 1.

so that τ(k) exists on the boundaries of the acceptable region defined by Equation 24.

In the writings of ethologists and criminologists, it described a complex of factors which exist on the boundary of psychology and sociology, such as religious rituals and sexual mores (McLane Hamilton, 1900: 550; Gumplowicz, 1999[1899]: pt. 2, ch. 1).

Similarly, high gradient values in exist on the boundaries of moving object of and.

However, I felt that a transgender person exists on the boundary with regards to their gender, and they face discrimination and hatred coming from the either side of that boundary.

It has been found that the functionalized SEBS is dispersed in PA6 phase at about 50 nm in diameter and also exists on the domain boundary of PA6 and PC to envelope the PC domains in the blends with a matrix of PA6, while the unmodified SEBS attaches to PC particles but does not surround the domains.

Figure 7(c) shows, where high gradient values exist on the boundary region of moving object.

Some researchers hope to get around such problems by exploiting tiny waves of electrons that exist on the boundary between a metal and an electrical insulator such as glass or silicon.

A novel corner detection operator, capable of detecting corner points that exist only on the boundary of an object, is presented in this paper.

However, for many situations in which quantitative covariates exist, the MLE can be on the boundary of the parameter space (i.e. the predicted probability of the outcome equals to 1), leading to the difficulty of finding the MLE.

When a laminar boundary layer exists on the surface of an aerofoil up to the trailing edge, a tone or a number of tones are sometimes produced.