Sentence examples for from the representations from inspiring English sources

Then, from the representations (5) and (7) of the solution, we have (9).

Linear groups have an infinite number of symmetry operations, and therefore the projection operator cannot be constructed from the representations of the symmetry operations.

Ultimately these applications come from the representations (varrho _n) of the braid groups (mathbb {B}_n) on (T^n(V)) induced by (0.1), for (n ge 2).

The information about the constituents can be extracted from the representations, but neural network models do not need to explicitly extract this information themselves in order to process it correctly (Chalmers 1990).

The proposed semantic encoding differs from the representations commonly used in endoscopic image analysis (for medical decision support) in that it establishes a semantic space, where each coordinate axis has a clear human interpretation.

Case 2. If equation (4.4) does not have a solution, set ψ = I − ϕ, then the mapping ψ has no fixed point in H. From the representations of f and g, we have ψ ( x ) = T ( x ) + α P K ( S ( x ) ) − P K ( S ( x ) − T ( x ) + γ ε ( x ) − α P K ( S ( x ) ) ), ∀ x ∈ H.

The "sex" umbrella covers anything from the representation of respectful heterosexual/same-sex relationships and masturbation, to the much more frightening subjects of rape and prostitution.

It's given voice to all sorts of issues – from the representation of women on stage to the role of mainstream critics and their approach to radical work.

"What then are the situations, from the representation of which, though accurate, no poetical enjoyment can be derived?" he asked in a celebrated preface.

Now equality (26) follows from the representation (24).

Furthermore, we extract statistics from the representation plane to quantify its character.