Sentence examples for denotes the reflection from inspiring English sources

where denotes the reflection in the hyperplane orthogonal to.

Let (Omega ) be a hyperbolic subdomain of ({mathbb {C}}) and let (Delta ) be an open disk centered at a point (ain {mathbb {C}}{setminus }Omega.) Suppose that (I(Omega {setminus }Delta )subset Omega,) where I denotes the reflection in the circle (partial Delta.) Then (Delta cap Omega ) is hyperbolically convex in (Omega.) In particular, we have.

Here, ℛ ϕ denotes the reflection of light due to a mismatch in the refractive index at the boundary (see Appendix B, Eq. (B.4)).

Finally, let (z in {varphi ne 0}) denote the reflection of (x) across (F).

Let (w_i) denote the reflection of the vector (frac{partial F}{partial x_i}(bar{x})) across the hyperplane orthogonal to (F bar{x} -F bar{y})), so that begin{aligned}w_i = F bar{x} -F bar{y}rtial x_i}(bar{x}) - 2, leftlangle frac{partial F}{partial x_i}(bar{x}),frac{F(bar{x})-F(bar{y})}{|F(bar{x})-F(bar{y})|} rightrangle, frac{F(bar{x})-F(bar{y})}{|F(bar{x})-F(bar{y})|}.

M denotes the multiple reflection of the seafloor.

In addition, Γ t) = Diag[γ1 t),..., γ L (t)] where γ l t = ρ l t e j 2 π β f D, l t, t denotes the complex reflection coefficient of the l th target during the t th pulse repetition period.

We consider the problem of determining a potential V x) in the one-dimensional Schrödinger equation, given as data the reflectivity r(k) = |R k)|2, where R(k) denotes the usual quantum mechanical reflection coefficient.

For a finite subset X⊂Rn of unit vectors, GX denotes the group generated by reflections rx fixing hyperplanes orthogonal to x∈X.

In this respect, (s_{ij}) denotes the transposition (ij), what should not be confused with the reflection (s_i).

where N represents the number of scatterers, here, N = 4, σ represents the real reflection coefficient of the scatterers, σ ⌢ denotes the estimated value.