Sentence examples for derivations in a from inspiring English sources

The text explores the most popular algorithms and architectures in a simple and intuitive style, explaining the mathematical derivations in a step-by-step manner.

We show that the set of all isotone derivations in a distributive lattice can form a distributive lattice.

The following definition introduces the notion of derivation for a lattice, which comes in analogy with Leibniz's formula for derivations in a ring.

We show that the set of all isotone derivations in a distributive lattice forms a distributive lattice under suitable binary operations.

The vectors representing the expected lifespan (η, or time until death), its variance, and the standard deviation are: (7) η ¯ ⊤ = 1 ⊤ N (8) V ⊤ = 1 ⊤ N (2 N - I ) - η ¯ ⊤ ∘ η ¯ ⊤ (9) s = V where 1 is a column vector of ones, ∘ denotes element-by-element multiplication, and the square root is applied element-wise (for derivations in a demographic context, see Caswell 2006, 2009, 2010).

The above cases demonstrate different types of dual-subject or multi-subject EPs that may alternate between Experiencer vs. Stimulus, or Stimulus vs. Affector subject roles without variations in lexical form, while such alternations are normally accompanied with derivations in an inflectional language such as English.

In [14], Xin et al. introduced the concept of derivation in a lattice and investigated some properties.

The list gives the assumptions the conclusion depends on in a derivation, in a local notation where in ND they are found in the leaves of a derivation tree.

The orthogonality conditions for nonuniform FBMC (Nu-FBMC) were evaluated through simulations using the 'extended orthogonal frequency division multiplexing (Oframeworkmework, as well as through analytical derivation in a rather pragmatic manner.

For this reason, compounds may differ from regular forms of other morphologically complex words such as inflections and derivations in requiring a unitary representation depending on the exact semantics in each particular case.

In the simulations, we assume two transmitters each equipped with two or more antennas, i.e., N t ≥ 2. From the derivations in Section 3.1, a residual CFO introduces a SNR loss that follows a sinc function.