Sentence examples for unit speed from inspiring English sources

Suppose α is a unit speed space curve on (S^{3}).

In the Lie group G, a spherical motion is determined by a unit speed space curve (alpha(s)).

We show that minimizing linear combination reduces to a unit speed scheduling problem under a polynomial penalty function.

Let α be a unit speed timelike or spacelike curve with non-lightlike vector fields (e_{2}), (e_{3}), (e_{4}), lying in ({mathbb {R}}^{4}_{1}).

Let α be a unit speed timelike or spacelike normal curve with non-lightlike vector fields (e_{2}), (e_{3}), (e_{4}), lying in ({mathbb {R}}^{4}_{1}).

The exact solution of this problem is the translation of the initial solution at unit speed: qleft( {x,t} right) = q_{0} left( {x - t} right) (22).

Being of considerable interest, for example, in studying the growth of crystals, the Wulff flow originated from the unit-speed outward normal flow.

Given a planar convex domain K of area (A_{K}) and perimeter (L_{K}), by growing in the unit-speed along the direction of the outward normal, the area of the corresponding domain, which is denoted by (A_{K}(t)), is a polynomial in t, which is known as the Steiner polynomial, that is, A_{K}(t)=A_{K}+L_{K}t+pi t^{2}.

However, I am concerned, for example, that the current designs of these products might not take fully into consideration the different weights of different users, potentially leading to the units speeding up or lurching in a manner that a user would not have reason to anticipate, especially a first-time user.

They then chose the unit of speed that they were most familiar with (mph or km/h) to make speed estimates.

To further minimize computations, we derived an elementary theorem to reduce the two-parameter soliton family to a parameter-free function, the soliton symmetric about the origin with unit phase speed.