Sentence examples for fundamental representations from inspiring English sources

I study the fundamental representations and computations that underlie our ability to navigate the social and physical world.

These are integrated by the fundamental representations of the complex Lie groups (mathrm {SO}(W_1)) and (mathrm {Sp}(W_0)), respectively.

The amount of any escrow and a provision stating that the escrow will be the exclusive remedy for breaches of the agreement (and any exceptions from this exclusive remedy, such as for breaches of "fundamental representations").

The exclusive nature of the escrow/holdback for breaches of the acquisition agreement (except perhaps for breaches of certain fundamental representations, such as capitalization and organization of the company).

The amount and length of any indemnity escrow and a provision stating that the indemnity escrow will be the exclusive remedy for breaches of the agreement (and any exceptions from this exclusive remedy, including for breaches of "fundamental representations" such as capitalization and organization of the company).

end{aligned}The adjoint representation of (mathfrak {g}) on (mathfrak {q}(W)) restricts to the Lie algebra representation of (mathfrak {g}_0 = mathfrak {o}(W_1) oplus mathfrak {sp}(W_0)) on (W = W_1oplus whichwhish is just the direct sum of the fundamental representations of (mathfrak {o}(W_1)) and (mathfrak {sp}(W_0)).

"It is a fundamental representation of our past, present and future".

For a modulus in the fundamental representation, the global vacuum of the theory is a state both with the rotational symmetry and the electromagnetic U 1)em being spontaneously broken.

The main problem is to compute the Poincaré series of G, meaning the series f z)="1+c1z+c2z2+⋯ whose coefficients are multiplicities of 1 into tensor powers of the fundamental representation.

Figure 11 Two representations of cyclopentadienyldicarbonyliron dimer: (a) diagram style preferred by chemists; (b) a more fundamental representation that does not mislead cheminformatics algorithms.

Besides ontologies, rules have long been a central part of the Semantic Web framework and are available as one of its fundamental representation tools, with logic serving as a unifying foundation.