Sentence examples for considering functions from inspiring English sources

He introduced the novel idea of considering functions of the roots and examining the values they assumed as the roots were permuted.

This is equivalent to considering functions of pairs of commuting self-adjoint operators.

In the papers [10, 11, 13, 17], the Hermitian Clifford analysis setting was further refined by considering functions on R 4 n with values in a quaternionic Clifford algebra, being simultaneous null solutions of four mutually related quaternionic Dirac operators, which are invariant under the action of the symplectic group.

Moreover, considering functions belonging to a particular space of function, namely X c p ( a, b ) ( c ∈ R, 1 ≤ p ≤ ∞ ) (see, [21]) and taking the limit when ρ → − 1 + in (3), the author in [20] obtained, with the help of the L'Hospital's rule, the following relationship: (5).

By considering functions of these basic components in the detected insular connectivity network, we propose that the posterior insula serves as a hub to functionally connect other brain regions of this network and plays an integral role in touch processing.

Considering functions of different hormones, such as growth hormone, somatolactin and prolactin in ion control in teleost fish (Rand-Weaver et al. 1991), a large regulatory pathway model can be anticipated.

Unlike a furniture designer or jeweler, an artist, making a painting, is free to work without considering function.

Faced with any real estate decision, managers should first consider functions.

Considered functions include: the floor, ceiling, truncation, and rounding-off functions.

Moreover, we consider functions whose values are bounded operators between Pontryagin spaces with the same index.

Now consider functions g defined in Lemma 2.1.