Sentence examples for will be invariant from inspiring English sources

Also by using this method the extracted components will be invariant to speaker variations.

Another important theorem states that for any chord AB in a circle, the angle subtended by any point on the same semiarc of the circle will be invariant.

This is the Taylor-Proudman theorem and states that the fluid motion will be invariant along the direction of the rotation axis.

Note that if a symmetry γ ∈ Γ acts trivially on an isotypic component, then all bifurcating periodic solutions corresponding to this component will be invariant under the symmetry.

First, the Middleton Class-A model is canonical, which assumes the independent impulse emissions Poisson-distributed in space and time and therefore will be invariant of particular physical source mechanisms.

Note that, for (Ninmathbb{N}) large, the interior ((E^{P,N})^{circ}:= {frac{1}{N}, ldots, 1-frac{1}{N}}^{P}) will be invariant, hence the Markov chain, when started in ((E^{P,N})^{circ}) stays away from the boundary.

For example, if one makes a journey from one galaxy to another, all observables pertinent to the trip will be invariants.

If on the other hand the input current does depend upon these variables is invariant under the action of a subgroup of U ( 1, 1 ) the group of the isometries of D (see Appendix A), and the condition μ S m ′ W 0 g < α is satisfied then the unique stationary solution will also be invariant under the action of the same subgroup.

Because the characters are class functions, an immanantal polynomial is invariant under similarity by permutation matrices, but it will not typically be invariant under more general similarities.

In addition, the result will be more invariant with respect to spatial (longitudinal and hemispheric) and temporal variations in the Earth's main field.

However, it was argued, there simply are no such psychological laws; there are no strict laws and co-ordinate conditions that ensure that a suitable action will be the invariant product of the combined presence of pertinent pro-attitudes, beliefs, and other psychological states.