Sentence examples for argument u from inspiring English sources

By the same argument, u − T u ≪ 0 for all u ∈ B ϵ ( u + ).

More specifically, we note that for a fixed third argument, U is entire in its first two arguments [23].

F, G and H are undetermined functions of its argument; u and v u) are the transformed independent and dependent variables respectively.

In [1], the authors provide the range of values of the real parameter ω for which the Green's function has constant sign and apply these results to prove the existence of constant sign solutions for the nonlinear periodic problem with reflection of the argument u ′ ( t ) = h ( t, u ( t ), u ( − t ) ), t ∈ [ − T, T ], u ( − T ) = u ( T ).

The flux operator of the series ϑ Δk, Δn, 0) is defined by the quotient [4] ϑ ( Δ k, Δ n, 0 ) = H S ( k + Δ k, n + Δ n, r ) H S ( k, n, r ) = π Δ k r Δ k + Δ n Γ ( k + n - 2 ) Γ ( k + Δ k ) Γ ( k ) Γ ( k + n + Δ k + Δ n - 2 ) Γ k + Δ k 2 Γ k 2. Also as the absolute values of the increments are equal and unique, that is |Δk| = |-Δn| = 1, a new joint argument u (Δk = Δn = u) is assigned to them.

The argument u of g contains inputs from various transcriptional regulators.

where Θ denotes the convolution for the LCT and ∗ denotes the conventional convolution for the FT. The WD of X M computed with arguments (u,v) is equal to the WD of x computed with arguments (t,ω): overline X (t,omega) = 2{e^{2iuv}}int_{- infty }^{+ infty} {{X_{M}} varepsilon X_{M}^(2u - varepsilon){e^{- 2ivvarepsilon}}dvarepsilon}.

Typically, the gain functions are chosen sigmoidal, for example, (up to affine transformations of the argument) f ( u ) = ( 1 + e − u ) − 1 or f ( u ) = ( tanh ( u ) + 1 ) / 2. These examples of gain functions are bounded, infinitely often differentiable with bounded derivatives.

In Section 3, the main results are applied to the equation with argument deviations u ′ ( t ) = p ( t ) u ( τ ( t ) ) − g ( t ) u ( μ ( t ) ) + q ( t ), (5).

The previous argument implies u - v ≡ M in Ω. Combining this with Definition 3.4- i) we obtain u ≡ v in Ω. □.

where (mathcal {C}_{u}(cdot)) denotes a circular rotation of its argument by u elements.