Sentence examples for coordinates we have from inspiring English sources

As a matter of fact, by using the spherical coordinates, we have (52).

In these new coordinates we have a problem in a rectangle which can easily be mapped onto the square.

Returning to polar coordinates, we have (int _{Sigma } dSigma =R^{2}int _{0}^{2pi }dphi int _{0}^{pi } dtheta sin theta ).

In the particular case of local coordinates, we have x i, x j E * = 0, p a, x j E * = ρ a i and p a, p b E * = p e C ab e, Open image in new window.

For a noise perturbed oscillator, in the new coordinates we have frac{mathrm{d}}{mathrm{d}t} {theta} = omega+ h(theta,rho) xi (t), qquad frac{mathrm{d}}{mathrm{d} t} {rho}= f(theta,rho)+ g(theta,rho) xi(t), (47) where we have introduced (h=langlenabla_{x} theta, p rangle), (f=langlenabla_{x} rho, F rangle) and (g=langlenabla_{x} rho, p rangle).

For a perturbed oscillator, in these coordinates we have frac{mathrm{d}}{mathrm{d}t} {vartheta} = biggllangle nabla_{x} vartheta, frac {mathrm{d}}{mathrm{d}t} {x} biggrrangle = bigllangle nabla_{x} vartheta, f(x) + epsilon g x,t) bigrrangle = 1 + epsilon bigllangle nabla_{x} vartheta, g x,t) bigrrangle.

Data are based on structural coordinates we had previously determined (Srivastava et al., 2015 ) and deposited in the Protein Data Bank, accession code 4TXA.

For the z coordinate we have that the sequence ({pi _2 F^{2^k(n+1)}, kge 0}).

For each coordinate, we have to define one vector V → M that denotes the vector to be watermarked, and two reference vectors V → v ref1 and V → v ref. V → M, V → v ref1, and V → v ref are selected with respect of the correspondence to the following equations ∥ P ref1 − P ref ∥ 2 = max ( a, b ) ∈ { R, G, B } a ≠ b ∥ P a − P b ∥ 2 ; P M = P c. (3).

She is very intelligent, graceful and coordinated; we had a meaningful meeting together.

For (x_0 in Omega ) and (0 < r le min {R_1, {text {dist}}(x_0, partial Omega )}), there is a coordinate system depending on (x_0) and r such that in this new coordinate system we have that Open image in new window (2.3).