Sentence examples for doubly free from inspiring English sources

The CD-lemma for modules is the CD-lemma for the doubly free module Mod k ⟨ Y ⟩ ( X ), a free module over a free associative algebra.

For the cases above, the free objects are the free associative algebra k ⟨ X ⟩, the doubly free associative k [ Y ] -algebra k [ Y ] ⟨ X ⟩, the free Lie algebra L i e ( X ), and the doubly free Lie k [ Y ] -algebra L i e k [ Y ] ( X ).

Memory will be managed using a doubly linked free list with a fixed block size combined with a free boundary reference.

The same holds for music streaming services and communication, and goes doubly so for free products like Facebook.

If indeed its quote is spot-on, then allowing a competitor to insure the customer at a lower rate is doubly effective: It frees Progressive from a money-losing proposition while burdening its competitor with the unprofitable account.

Newport is a chance to travel back in time and share extravagant experiences, and it's doubly adventurous and fancy-free, this reporter has found, with your sweetheart.

Two armband accelerometers have also recently been shown to be highly correlated with doubly labelled water in free-living conditions [ 42].

But activists who overhead the conversation suggested that, "given the political situation, free verse was doubly forbidden".

The free vibration of doubly curved composite honeycomb sandwich panels is investigated here, both experimentally and theoretically, the latter using a commerically available finite element package.

This study deals with the analytical free vibrations of doubly curved sandwich shell with flexible core based on a refined general-purpose sandwich panel theory.

For two-component systems, coherent two-phase equilibrium compositions can often be generated using the familiar procedure in which a line is constructed doubly tangential to the coherent free energy functional(s).