Sentence examples for elementary arrangements from inspiring English sources

Now, the unitary representation ((varOmega^{1}_{mathbb{L}^{2}}(mathbb {S}^{2}), P)) is of course not irreducible; so in order to get "elementary arrangements", we may look for its irreducible constituents as we did for (mathbb{L}^{2}(mathbb {S}^{2})) and hope that pinwheel-like structures are to be found there.

Relativistic-quantum-field-theoretical vacuum states — no less than giraffes or refrigerators or solar systems — are particular arrangements of elementary physical stuff.

The names in the elementary proposition are arranged in a way that can be mapped onto an arrangement of the object named.

For Lovecraft, he writes, the "universe is nothing but a furtive arrangement of elementary particles", a vision "paradoxically comforting to those souls who are weary of life".

For this purpose, five elementary types of motor arrangement are analyzed.

However, in some cases, a horizon is heterogeneous, and its structure is defined by the 3D arrangement of Elementary Pedological Volumes (EPVs).

The observation that a pyridine content which was less than equimolar sufficed to cause the proton wave to disappear may be shown to be due to the geometry of the ring-disc electrode and follows from an elementary relation for this arrangement.

We have taken a total of 100 repeated measurements of the performance in the two types of extended models using two arrangements of the elementary ratio recognition unit: stacked (multiple copies of the basic unit circuit converge onto LNi) and grouped (each LN is replaced by a population of like copies).

The results show that the rupture properties of the multilayered coatings are correlated to the film thickness and arrangement of the elementary layers.

The overall dimensions of the electronics fit the size of the detector, enabling to assemble side-by-side several elementary modules in a close-packed arrangement.

All elementary 3D symmetry types and common symmetric arrangements are considered.