Sentence examples for extra solutions from inspiring English sources
It also predicted the existence of the positron, although Dirac did not at first realize this and puzzled over what seemed like extra solutions to his equations.
Step 11) If the number of solutions in the archive exceeds a predefined value, eliminate extra solutions.
Here, we use a simple elimination method to remove extra solutions from the archive instead of single linkage algorithm and avoid its complexity.
It is shown that, due to the presence of one-to-one internal resonances between the in-plane and out-of-plane transverse modes, an in-plane excitation can give rise to an out-of-plane displacement; the internal resonances also cause the occurrence of extra solution branches and new bifurcation points.
The extra solution was removed using Kimwipes supplied by Kimberly-Clark Professional, GA, USA, and the grid was allowed to dry overnight at room temperature.
Indeed, with the 1 mm discs rocking may be dispensed with if extra changes of solution are added to the protocol, as the disturbance from the extra solution changes is sufficient agitation.
Since no extra auxiliary solutions are required for the computation, the proposed method appears to be versatile and can be used for evaluation of the stress intensity factors associated with crack front and crack surfaces of arbitrary curvatures.
Since all involved Hopf curves at the points HH 1 and ZH 1 are subcritical, it follows then from the normal form analysis [33] that, for these parameters, no extra stable solutions exist near these points.
I also claim that many natural (partial) compactifications of such moduli spaces M, e.g. by including J-holomorphic curves with nodes, should naturally have the structure of derived manifolds or derived orbifolds with corners, where the boundary represents the extra singular solutions.
Two ex-Spotify engineers in Sweden teamed up in 2013 to develop a tool that allows you to collect and record user experiences without extra hardware solutions.
A sixth phase may be evolving in which growth depends on the design of extra-organizational solutions, such as creating a holding company or a network organization composed of alliances and cross-ownership.
