Sentence examples for able to derive it from inspiring English sources

In 3-dimensional projective geometry, Desargues's theorem is a consequence of the incidence axioms alone, but it is a theorem about points and lines in a projective plane (and so in 2-dimensional geometry) yet no-one had been able to derive it from the incidence axioms of 2-dimensional projective geometry.

In the first paper of his trilogy, Bohr was able to derive it from his model: R_Z = { 2\pi^2 m_e Z^2 e^4 \over h^3 } where me is the electron's mass, e is its charge, h is Planck's constant and Z is the atom's atomic number (1 for hydrogen).

Reflections were made about the overall caregiving journey and what meaning caregivers were able to derive from it.

Thus a work on laboratory tests may be exceedingly useful to students working at the particular laboratory to which it refers, but whether students at other institutions will be able to derive much benefit from it is doubtful.

For instance, the more consumers value local food products, the fewer synergies the retailer will be able to derive and the more it will struggle to compete with country killers.

(That's how a lot of our contributors imagine the economy of the exchange -- they are donating something of value (their mind) to people (our audience) who wouldn't be able to derive a benefit from it otherwise).

When no communication between these two stations occurs during an extended period of time, is still able to derive the highest rate that it can sustain by estimating the quality of the link between and based upon the signal strength of the packet that overhears from.

A working example of triangulation is looked at where researchers were able to derive more findings with triangulation than without it.

But if we are able to derive ethanol from non-food biomass sources, it may be a very "green" answer to our needs.

In principle, this idea has already been touched in [18] for Universal Mobile Telecommunications System UMTSS) W-CDMA, however, in the context of MIMO, we need to generalize and fairly extend it to be able to derive a suitable description.

In the deepest depths of the most punishing swim workouts, when my fingers and toes would get tingly and I would start seeing stars from lack of oxygen, I was never able to derive power from those phrases, not when it really mattered.